A is in the shape of a quarter circle of radius 15 cm.
B is in the shape of a circle.
A
15 cm
The area of A is 9 times the area of B.
Work out the radius of B.
B

A Is In The Shape Of A Quarter Circle Of Radius 15 Cm.B Is In The Shape Of A Circle.A15 CmThe Area Of

Answers

Answer 1

Answer:

[tex]\frac{5}{2}[/tex] or 2.5cm

Step-by-step explanation:

Hello! Let's help you with your question here!

Let's start by working out what we know and what we need. So, we know that P is a circle and Q is the shape of a quarter circle with a radius of 20cm. The area of Q is 9 times the area of P and we must find the radius of P.

To start, we're looking for area, so we should at least start looking at the area of a circle, given radius, which is:

[tex]A=\pi r^2[/tex]

Now, we don't necessarily know r (radius) and the area either. However, we can try to use the quarter circle as our guide for the full circle. So, we want to find the area of the quarter circle, we can do that by using this formula!

[tex]A=\frac{1}{4} \pi r^2[/tex]

The reason why we put a [tex]\frac{1}{4}[/tex] at the front of [tex]\pi r^{2}[/tex] is because we're only solving for a quarter of a circle instead of the entire circle.

Now that we have our formula! We can calculate the area of the quarter circle as follows:

[tex]A=\frac{1}{4}\pi 15^2[/tex]

[tex]A=\frac{\pi 15^2}{4}[/tex]   -We combine the fraction [tex]\frac{1}{4}[/tex] into the rest of the equation.

[tex]A=\frac{225\pi }{4}[/tex]   - Evaluating [tex]15^2[/tex]

Now that we have the area of the quarter circle, we can now work on the full circle. What we know is that the area of A is 9 times of B, since we're finding the radius of B, we can essentially plug in the area and solve for the radius of the full circle. That would be as such:

[tex]A=9\pi r^2[/tex]   -We're using the area of circle A to find the radius of B.

[tex]\frac{225\pi }{4} =9\pi r^2[/tex]   - Plugging in the area of the quarter circle.

[tex]\frac{225\pi }{4}/9\pi =\frac{9\pi r^2}{9\pi }[/tex]   - We divide [tex]9\pi[/tex] to get rid of it on the right side.

[tex]\frac{25}{4} =r^2[/tex] - When dividing by [tex]\pi[/tex], the numerator [tex]\pi[/tex] gets cancelled out.

[tex]\sqrt{\frac{25}{4} }=r[/tex]   -We square root to get rid of the squared.

[tex]\frac{5}{2}=r[/tex]    - Square rooted both numerator and denominator.

And there we have it! We finally get a radius of [tex]\frac{5}{2}[/tex] or 2.5cm.


Related Questions

you raise pigs when you purchase the pig it weigh 46 pounds with in 5-6 months you pig will gain 380% in weight how much should it weigh by then round to the nearest whole number

Answers

The weight of the pigs is 220.8 pounds.

How to calculate the value?

From the information, when you raise pigs when you purchase the pig it weigh 46 pounds with in 5-6 months you pig will gain 380% in weight.

Therefore, the weight by then will be:

= Normal weight + ( Percentage × Previous weight)

= 46 + (380% × 46)

= 46 + 174.8

= 220.8

The weight is 220.8 pounds.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The roots of unity (1) may be calculated from the equation x3-1=0. What are they?

Answers

[tex]1\text{ and }\frac{\text{-1 }}{2}\pm\text{ }\frac{i\sqrt[]{3^{}}}{2}\text{ (option C)}[/tex]

Explanation:[tex]\begin{gathered} x^3-\text{ 1 = 0} \\ x^3-\text{ 1 has a root of 1} \\ x^3-1=(x-1)(x^2\text{ + x + 1)} \end{gathered}[/tex]

we find the root of x² + x + 1 has it can't be factorized

Using quadratic formula:

[tex]x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

for a² + bx + c = 0

comparing: x² + x + 1

where a = 1, b = 1, c = 1

[tex]\begin{gathered} x\text{ = }\frac{-1\pm\sqrt[]{(1)^2^{}-4(1)(1)}}{2(1)} \\ x\text{ = }\frac{-1\pm\sqrt[]{1^{}-4}}{2} \end{gathered}[/tex][tex]\begin{gathered} x\text{ = }\frac{-1\pm\sqrt[]{-3}}{2}\text{= }\frac{-1\pm\sqrt[]{-1(3)}}{2} \\ Since\text{ we can't find the square root of a negative number, we apply complex root} \\ \text{let i}^2\text{ = -1} \\ x\text{ = }\frac{-1\pm\sqrt[]{3i^2}}{2} \end{gathered}[/tex][tex]\begin{gathered} x\text{ = }\frac{-1\pm\sqrt[]{3i^2}}{2}\text{ = }\frac{-1\pm i\sqrt[]{3^{}}}{2} \\ x\text{ = }\frac{-1+i\sqrt[]{3^{}}}{2}or\text{ }\frac{-1-i\sqrt[]{3^{}}}{2} \\ \end{gathered}[/tex][tex]\begin{gathered} \text{The roots of x}^3\text{ - 1 = 0 are:} \\ 1\text{ and }\frac{-1\pm i\sqrt[]{3^{}}}{2} \\ 1\text{ and }\frac{\text{-1 }}{2}\pm\text{ }\frac{i\sqrt[]{3^{}}}{2}\text{ (option C)} \end{gathered}[/tex]

Lines from Point/Slope (Diagonal Only) Nov 23, 9:40:49 AM What is the equation of the line that passes through the point (-4, -2) and has a slope of - Answer: Submit Answer attempt 2 out of 2

Answers

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope

Replacing with point (-4, -2), we get:

y - (-2) = m(x - (-4))

y + 2 = m(x + 4)

If the slope is, for example, 3, the equation would be:

y + 2 = 3(x + 4)

If the slope is -2/5, the equation would be:

y + 2 = -2/5(x + 4)

Andre and Lin are discussing whether it is possible to define latitude and temperature in a way that makes sense to talk about temperature as a function of latitude. They are considering different options. Here are the options: a. Finding the temperature right now in cities with different latitudes b. Finding the daily high temperature at cities that have different latitudes c. Finding the average high temperature in a specific month, e.g., September, at cities that have different latitudes d. Finding the average yearly temperature at cities that have different latitudes None of these options are perfect. All have flaws. Choose one option and give the advantages and disadvantages of the option for talking about temperature as a function of latitude. Answer in the space below

Answers

All answers are kind of similar and none of these options are perfect.

We are going to chose the opcion b, the advantage is that the daily high temperature at cities give us a statistical sample about how latitude impact the temperature and how is the clime in those days.

Disadvantages is that we dont know the lower temperature and how the latitude impact in this case.

Determine the perimeter of this shape. Use 3.14 for pi. the numbers are 12m and 15 m

Answers

We are asked to find the perimeter of the figure. To do that we will add the perimeters of the semi-circle and the rectangle.

To determine the perimeter of the semi-circle we will use the following formula:

[tex]P_{c\text{ }}=\frac{\pi D}{2}[/tex]

The diameter is 12 m. Replacing in the formula we get:

[tex]P_c=\frac{\pi(12m)}{2}[/tex]

Solving the operations:

[tex]P_c=\frac{3.14(12)}{2}=6.28m[/tex]

Now we will find the perimeter of the rectangle by adding the length of all of its sides:

[tex]P_R=15m+12m+15m=42m[/tex]

Now, the perimeter of the figure is the sum of the perimeters we found:

[tex]\begin{gathered} P=P_c+P_R \\ \end{gathered}[/tex]

Replacing:

[tex]P=6.28m+42m=48.28m[/tex]

Therefore, the perimeter of the figure is 48.28m

if the author sells x Books per day his profit will be : J(X)= (-0.001x^2)+3x-1800Find the max profit per dayFind the amount of books the author must sell for the most profit

Answers

[tex]\begin{gathered} \text{Given} \\ J(x)=\mleft(-0.001x^2\mright)+3x-1800 \end{gathered}[/tex]

The given function in a quadratic function in standard form where

a = -0.001, b = 3, and c = -1800

It is a parabola that is facing downwards, therefore, the vertex of this parabola, (x,y) is the maximum of the function where

x is the amount of books that the author must sell for the most profit, and

y is the max profit per day.

We can find the vertex using

[tex]x=\frac{-b}{2a}[/tex]

Substitute the following values, and we get

[tex]\begin{gathered} x=\frac{-b}{2a} \\ x=\frac{-3}{2(-0.001)} \\ x=\frac{-3}{-0.002} \\ x=1500 \end{gathered}[/tex]

Now that we have x, plug it in the original function to solve for y

[tex]\begin{gathered} J(x)=\mleft(-0.001x^2\mright)+3x-1800 \\ J(1500)=-0.001(1500)^2_{}+3(1500)-1800 \\ J(1500)=-2250+4500-1800 \\ J(1500)=450 \end{gathered}[/tex]

We have determine that the vertex of the function is at (1500,450). We can now conclude that

The max profit per day is $450.

The amount of of books the author must sell for the most profit is 1500 books.

Hi I need help with question 3 :) . Directions: For each real world situation, write and solve a system of equations . Give the solution as either an ordered pair or list what each variable is worth . Then explain what the solution means in terms of the situation

Answers

3.

We know that Hobby Land sells art supplies two different ways.

We can represent the situation with a system of equations

[tex]\begin{cases}x+y=139\ldots(1) \\ 4x+7y=781\ldots(2)\end{cases}[/tex]

Where x is the cost of one easel and y represents the cost of one paint set.

Now, we must solve the system of equations.

We can multiply equation (1) by -4

[tex]\begin{gathered} -4(x+y)=-4(139) \\ -4x-4y=-556\ldots(3) \end{gathered}[/tex]

Then, we can add (3) + (2)

[tex]\begin{gathered} -4x-4y=-556 \\ 4x+7y=781 \\ -------------- \\ 3y=225 \end{gathered}[/tex]

Now, we can solve the equation for y

[tex]\begin{gathered} 3y=225 \\ y=\frac{225}{3}=75 \end{gathered}[/tex]

Finally, to find x we can replace the value of y in the equation (1)

[tex]\begin{gathered} x+75=139 \\ x=139-75=64 \end{gathered}[/tex]

So, the cost of one easel is $64.

Solution as either an ordered pair:

- (64, 75).

Rectangle WXYZ has vertices located at W(−6, 4), X(−6,−1), Y(2,−1), and Z(2, 4) on a coordinate plane. It is translated 4 units right and 2 units down to produce rectangle W'X'Y'Z'. What is the location of the vertices of the transformed rectangle?

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Rectangle WXYZ

W(−6, 4)

X(−6,−1)

Y(2,−1)

Z(2, 4)

Step 02:

Translated

4 units right ===> x + 4

2 units down ===> y - 2

W' (−6+4, 4 -2) = W' (-2, 2)

X' (−6+4,−1 - 2) = X' (-2,-3)

Y' (2+4,−1-2) = Y' (6,-3)

Z' (2+4, 4-2) = Z' (6, 2)

The answer is:

W' (-2, 2)

X' (-2,-3)

Y' (6,-3)

Z' (6, 2)

Brainliest and 20 points please solve

Answers

Answer:

part a: x = 5

part b: no

Step-by-step explanation:

part a : 8x + 3 = 9x - 2, subtract 8x from both sides which leaves you with 1x or just x. add 2 to both sides which gives you 5. 5 is equal to 1x.

part b: a complementary angle is 2 angles whos sum equals 90 degrees. m<ABC = 43 & m<DBE = 43 & they both equal 86 not 90.

Answer/Step-by-step explanation:

A                 C

 \  (8x + 3)  /

    \           /

      \       /

        \   /

          B

        /   \

      /       \

    /           \

  / (9x - 2)  \

D                  E

A. Solve for x.

m∠ABC = m∠DBE

(8x + 3) = (9x - 2)

8x + 3 = 9x - 2

-9x         -9x

------------------------

-x + 3 = -2

    -3      -3

--------------------

-x = -5

÷-1   ÷-1

----------------

x = 5

B. Are vertical angles also complementary angles?

No, vertical angles are angles that are congruent to each other or in other words, equal. In the equation above (8x + 3) = (9x - 2). If I were to plug 5 into the equation I would get

(8(5) + 3) = (9(5) - 2)

(40 + 3) = (45 - 2)

  43 = 43

Complementary angles equal to 90°. It wouldn't make sense to add these numbers together because I would end up with a fraction if I set the equation equal to 90°

I hope this helps!

Consider the following equation find the X- and y- Intercepts, if possible

Answers

Answer:

x-intercept: (-1/2, 0)

y-intercept: (0, 1)

Explanation:

The x-intercept is the point where the graph crosses the x-axis, so to find the x-intercept, we need to replace y = 0 on the given equation and solve for x

y - 2x = 1

0 - 2x = 1

-2x = 1

-2x/(-2) = 1/(-2)

x = -1/2

Then, the x-intercept is (-1/2, 0)

The y-intercept can be calculated replacing x = 0 and solving for y, so

y - 2x = 1

y - 2(0) = 1

y - 0 = 1

y = 1

Then, the y-intercept is (0, 1)

Therefore, the answers are

x-intercept: (-1/2, 0)

y-intercept: (0, 1)

(3,-8),(-2,5) write an equation for the line in point slope form .Then rewrite the equation in slope intercept form

Answers

The equation for the line in point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x1, y1) is a point of the line. If we have two points (x1,y1) and (x2, y2), the slope is equal to:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, replacing (3, -8) and (-2, 5), we get that the slope and the equation of the line are:

[tex]m=\frac{5-(-8)}{-2-3}=\frac{5+8}{-5}=\frac{-13}{5}[/tex][tex]\begin{gathered} y-(-8)=\frac{-13}{5}(x-3) \\ y+8=-\frac{13}{5}(x-3) \end{gathered}[/tex]

Therefore, the equation in slope-intercept form is calculated as:

[tex]\begin{gathered} y+8=-\frac{13}{5}x-\frac{13}{5}\cdot(-3) \\ y+8=-\frac{13}{5}x+\frac{39}{5} \\ y=-\frac{13}{5}x+\frac{39}{5}-8 \\ y=-\frac{13}{5}x-\frac{1}{5} \end{gathered}[/tex]

Answer: Point-slope form:

[tex]y+8=-\frac{13}{5}(x-3)[/tex]

slope-intercept form:

[tex]y=-\frac{13}{5}x-\frac{1}{5}[/tex]

What makes a function a function?

Answers

In a relationship between two variables x and y, the data set is a function, if every element of the domain corresponds to exactly one element of the range

that means

one element of x corresponds to exactly one element of y

In any function, there is an input value (independent variable or x variable) and there is an output value (dependent variable or y variable)

What makes a function a function? ------> one element of the input (variable x) corresponds to exactly one element of the output (variable y)

Hello, a little confused on this section. Thanks for your help!

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

graph

Step 02:

notation for domain and range:

we must analyze the graph to find the solution.

graph:

The domain is reflected on the x-axis and the range is reflected on the y-axis.

Inequality / Agebraic:

D:

R:

Interval:

D:

R:

Set-Builder:

D:

R:

A rectangle is graphed on a coordinate plane and then reflected across the y-axis. If a vertex of the rectangle was at (x, y), which ordered pair represents the corresponding vertex of the new rectangle after the transformation? F (y, x) G (-x, -y) H (-x, y) J (x, y)

Answers

Reflection across y-axisInitial explanation

Let's say that the vertex is the following red point:

Then, its reflection across y-axis would be the blue point:

If we observe the coordinates, we will have that:

(5, 3) is transformed into (-5, 3). This is going to happen no matter the coordinate:


The mass of a typical comet is about 1 x 10¹3 kg, while the mass of a typical asteroid is about 3 x 10¹⁹ kg.
Approximately how many times the mass of a typical comet is the mass of a typical asteroid?
100,000 times
300,000 times
1,000,000 times
O 3,000,000 times

Answers

The mass of the typical comet is 3,000,000 times the mass of a typical asteroid which is the fourth option among the given options.

It is given in the question that:-

Mass of a typical comet = [tex]1*10^{13}kg[/tex]

Mass of a typical asteroid = [tex]3*10^{19}kg[/tex]

We have to find the how many times the mass of a typical comet is the mass of a typical asteroid.

Mass of a typical asteroid/ Mass of a typical comet  is given by:-

[tex]\frac{3*10^{19}}{1*10^{13}}=3*10^6[/tex]

We can write [tex]3*10^6[/tex] as 3,000,000.

Hence, the mass of the typical comet is 3,000,000 times the mass of a typical asteroid which is the fourth option among the given options.

To learn more about mass, here:-

https://brainly.com/question/19694949

#SPJ1

What is 7050.387 rounded to the nearest ten

Answers

Hello!

When we round something to the nearest tenth, it means that the number must have just one decimal place.

Let's analyze this number and round it:

7050.387

How can we write 387 as one number?

Well, it's very close to 400, and we can "hide" these zeros.

Let's try it:

[tex]7050.387\cong7050.400\cong7050.4\cancel{00}[/tex]

Answer:

7050.4.

The length of the longest slide is what inches the other two sides will each be what inches in length?

Answers

We know that the rod from which we made the triangle is 13 in long, this means that the perimeter of the triangle. from the diagram given we notice that the perimeter is:

[tex]x+(x-1)+(x-1)[/tex]

equating this to 13 and solving for x we have:

[tex]\begin{gathered} x+(x-1)+(x-1)=13 \\ 3x-2=13 \\ 3x=13+2 \\ 3x=15 \\ x=\frac{15}{3} \\ x=5 \end{gathered}[/tex]

Hence, the value of x=5 which means that the longest side measure 5 inches. To determine the length of the other sides we notice that they are given by x-1, which means that their length is 5-1=4 inches,

Therefore, the length of the longest side is 5 inches. The other two sides will each be 4 inches in length.

The drama club is selling tickets to their play to raise money foe the show's expenses. They are selling both adult tickets and student tickets. The auditorium can hold no more than 109 people. Write an inequality that could represent the possible values for the number of student tickets sold,s, and the number of adult tickets sold,a, that would satisfy the constraint

Answers

Adult (A)

student (S)

Total people= 109

the maximum number of tickets is 109, in this case is possible 109.

than means

A + S ≤ 109

or

109 ≥ A + S

Identify the algebraic expression for the given word phrase.
6 times the sum of r and 9
A. 6 + r + 9
B. 6 (r + 9)
C. r (6 + 9)
D. 6r + 9

Answers

b because 6 times the sum of r and 9 means 6(r+9)

help meeeeeeeeee pleaseee !!!!!

Answers

If the average daily sales price of the toy is $6.50, then 2750 toys will have been sold overall.

Variables and functions

In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.

While the dependent values are the codomain, the independent values are known as the domain.

Given that y = 6000 - 500x is the function that depicts the price-sales relationship for the quantity of toys

The total number of toys sold if the toy sells for $6.50 per day is: y = 6000 - 500 (6.50) y = 6000 - 3250 y = 2750 toys

The total quantity of toys sold is provided above.

Learn more about function and values here: https://brainly.com/question/2284360

#SPJ1

Josh wants to use Rockaway Hall, the Groove Guru Band, and PJ's Party Supplies. Josh has a total of
650 dollars and wants to invite 25 people. His friend told him he would be able to afford the band for 4 hours. Is that true?

Answers

1) Assume that x is the number of hours and that y is the total cost. To model, write an equation. 2) Tutoring his friend in geometry is the second way he can get money.

One of the first areas of mathematics is geometry, along with arithmetic.

What is the Bernoulli inequality?A mathematical inequality that closely resembles the exponentiations of 1 + x is known as Bernoulli's inequality, named after Jacob Bernoulli. In actual analysis, it is frequently used. It contains a few helpful variations, including those for any integer r 0 and real number x > 1. If x 0 and r 2, the inequality is strictly true.A statement about raising a number to a natural power is made by the binomial inequality: and. It can be easily demonstrated by induction and is essentially a condensed version of the binomial theorem.A mathematical inequality that closely resembles the exponentiations of 1 + x is known as Bernoulli's inequality, named after Jacob Bernoulli. In actual analysis, it is frequently used.    

To learn more about Bernoulli inequality refer to:

https://brainly.com/question/13424969

#SPJ1

number one name three collinear points number to name four coplanar Point number three name two sets of lines intersect number for name two points not contained in the plane

Answers

The points lying on a single line are called colinear points. So here,

KJD are colinear points as they are lying on a same line.

Points lying on the same plane are called coplanar points. So here, IJFE are coplanar points.

The two sets of line intesects are KD and CF, IG and FH.

The two points that are not in the plane are A and B.

Please assist me in understanding how to solve number 4

Answers

Solution:

Given that;

y varies directly with the square of x

[tex]y\propto x^2[/tex]

This expression above becomes

[tex]\begin{gathered} y=kx^2 \\ Where\text{ k is the constant} \end{gathered}[/tex]

When

[tex]y=10\text{ and x}=5[/tex]

Substitute the values for x and y into the expression above to find k

[tex]\begin{gathered} y=kx^2 \\ 10=k(5)^2 \\ 10=k(25) \\ 10=25k \\ Divide\text{ both sides 25} \\ \frac{25k}{25}=\frac{10}{25} \\ k=\frac{2}{5} \end{gathered}[/tex]

The expression becomes

[tex]\begin{gathered} y=kx^2 \\ y=\frac{2}{5}x^2 \end{gathered}[/tex]

a) The value of y when x = 20

[tex]\begin{gathered} y=\frac{2}{5}x^2 \\ y=\frac{2}{5}(20)^2 \\ y=\frac{2}{5}(400) \\ y=160 \end{gathered}[/tex]

Hence, the value of y is 160

b) The value of x when y = 40

[tex]\begin{gathered} y=\frac{2}{5}x^2 \\ 40=\frac{2}{5}x^2 \\ Crossmultiply \\ 40(5)=2x^2 \\ 200=2x^2 \\ Divide\text{ both sides by 2} \\ \frac{200}{2}=\frac{2x^2}{2} \\ 100=x^2 \\ x^2=100 \\ Square\text{ root of both sides} \\ \sqrt{x^2}=\sqrt{100} \\ x=10 \end{gathered}[/tex]

Hence, the value of x is 10

1.In hockey, a player gets credited with a "point" in their statistics when they get an assist or goal.The table shows the number of assists and number of points for 15 hockey players after a season.assistspoints222816184672292691322allo San818131750712173427581834Make a scatter plot of this data. Make sure to scale and label the axes

Answers

From the information given, the number of points gotten depends on the number of assists. this means that the independent variable, x which would be on the horizontal axis is the number of assists and the dependent variable, y which would be on the vertical axis is the number of points. We would plot these values on the scatter plot. the plot is shown below

The number of points is on the vertical axis.

The number of assists is on the horizontal axis

how many liters of 10% salt water do you need to add to 5 liters of 25% salt to make 15% salt?

Answers

Answer:

You will need 10 liters of 10% salt water

Step-by-step explanation:

Bert opened a savings account 4 years ago the account earns 13%interest compounded monthly if the current balance is 1,000.00 how much did he deposit initially

Answers

To answer this question we need to remember the formula:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where r is the interest rate, n is the number of times it is compounded in a given time t.

In this case we know that A=1,000, r=0.13, n=12 and t=13. Plugging this values in the formula and solving for P we have:

[tex]\begin{gathered} 1000=P(1+\frac{0.13}{12})^{12\cdot4} \\ P=\frac{1000}{(1+\frac{0.13}{12})^{12\cdot4}} \\ P=596.19 \end{gathered}[/tex]

Therefore, the initial deposit was $596.19

There are 6000 students at Mountain High School, and 1/4 of these students are seniors. If 2/3 of the seniors are in favor of the school forming a debate team and 1/5 of the remaining students (not seniors) are also in favor of forming a debate team how many students do not favor this idea?

Answers

hello

tp solve this question, let's get the data out

we have a total of 6000 students. 1/4 of the students are seniors, let's find the numbers of seniors in the school

the number of senior students are

[tex]\frac{1}{4}\times6000=1500[/tex]

we have 1500 seniors in the school.

we can find the seniors in support of a debate team by multiplying 2/3 by 1500

[tex]\frac{2}{3}\times1500=1000[/tex]

now we know that 1000 students are in support of the debate team. let's subtract the numbers of students in support of debate team from numbers of seniors in the schoolto giveus the numbers of seniors that are not in support of debate team.

[tex]1500-1000=500[/tex]

500 seniors from the school are not in support of a debate team.

Also note that 1/5 of the remaining students are not in support of the debate team.

which would be

[tex]\begin{gathered} 6000-1500=4500 \\ \frac{1}{5}\times4500=900 \end{gathered}[/tex]

now, we can add the numbers of seniors that are not in support of a debate team plus number of remaining students not in support of a debate team

[tex]500+900=1400[/tex]

from the calculationabove, a total of 1400 students are not in support of the idea

hi I'm 9 years old my name is Emma can

Answers

Given:

Perimeter = 40 feet,

The measure of the four sides is 11 feet, g, 11 feet, and g.

We know that the perimeter = the sum of the four sides.

[tex]\text{perimeter =11+g+11+g}[/tex]

Replace perimeter =40, we get

[tex]\text{40=11+g+11+g}[/tex]

Adding 11 and 11, we get

[tex]\text{40=11+11+g+g}[/tex]

[tex]\text{40=22+g+g}[/tex]

Ashley pounds 98 pounds one year ago .If she weight 112 pounds what is the percent increase in her weight ?

Answers

Answer:

The increase to the nearest percent is 14%

Step-by-step explanation:

[tex]\frac{112 - 98}{98}[/tex]  The percent of increase is the weight change over the original amount

.14285714285  To change a decimal to a percent, move the decimal two places to the right.

Rounded to the nearest percent is

14%

what is the mean of 36,38,39,28,34

Answers

We are to find the mean of

[tex]36,\text{ 38, 39, 28, 34}[/tex]

Finding mean

[tex]\begin{gathered} M\text{ean = }\frac{36\text{ + 38 + 39 + 28 + 34 }}{5} \\ Mean\text{ = }\frac{175}{5} \\ M\text{ean = 35} \end{gathered}[/tex]

Therefore,

mean = 35

Other Questions
The hydrochloric acid utilized in this experiment can often discolor gloves if it is spilled on them during use. If this does occur, what should be done in order to remedy this potentially hazardous situation?. please help math is an absolute pain which is true? a. a class can implement only one interface b. a class can inherit from multiple classes c. an interface can implement multiple classes d. a class can implement multiple interfaces PART A: Which statement identifies the central idea of the text? A. Farmers aggressively harvested the land in the Great Plains, despite warnings from environmentalists that it could result in dust storms. B. There was nothing that farmers could have done to prevent the Dust Bowl, as they merely chose the wrong time and place to farm. C. Farmer's treatment of the landweakened it against the elements and resulted in dust storms that negatively impacted life in the Great Plains.O D. The Dust Bowl negatively impacted life for everyone in America, as dust spread beyond the Great Plains and farmers couldn't produce crops? Im not firmiliar with the sun or difference of cubes (HW assignment) 4. PART B: Which clue from the text best supports theanswer to Part A? College students are offered a 6% discount on a textbook that sells for$32.50. If the sales tax is 6%, find the cost of the textbook including the salestax. what is the president cabinet and what is their responsibility? (If there is more than one answer, use the "or" button.)Round your answer(s) to the nearest hundredth.A ball is thrown from a height of 141 feet with an initial downward velocity of 21 ft/s. The ball's height h (in feet) after t seconds is given by the following.h = 141 - 21t - 16t ^ 2How long after the ball is thrown does it hit the ground? which of the following coordinates represent a point on the Y - axis choose all that apply The resale value V, in thousands of dollars, of a boat is a function of the number of years since the start of 2011, and the formula isV = 10.5 - 1.1t.(a) Calculate V(3).________thousand dollarsExplain in practical terms what your answer means.This means that the resale value of the boat will be______thousand dollars at the start of the year_______(b) In what year will the resale value be 6.1 thousand dollars?______(c) Solve for t in the formula above to obtain a formula expressing t as a function of V. t=______(d) In what year will the resale value be 2.8 thousand dollars?_______ April is arranging place cards for a wedding reception on a table. The bride's family has 154 cards and the groom's family has 140 cards. She wants the arrangements for the two families to have the same number of cards in each row. What is the greatest number of cards that she can place in a row? Hi, Im really confused with this question and Im not sure how to solve it! f(x) = 4x3 + 6x2 3x 4g(x) = 4x 3Find (f - 9)(x).A. (f - g)(x) = 4x3 + 6x2 + x - 1B. (f - g)(x) = 4.23 + 6x2 7x 7c. (f - g)(x) = 4x3 + 6x2 + x - 7O D. (f - g)(x) = 4x3 + 6x2 7x - 1SUBMIT Riley read 1 book in 2 months. If she reads at a constant rate, how many books did she read in one month? Give your answer as a whole number or a FRACTION in simplest form.On the double number line below, fill in the given values, then use multiplication or division to find the missing value. Please help me asap :) Match the individual with his role in the American Revolution. Drag each person to the matching description. Charles Cornwallis Marquis de Lafayette John Jay British general who surrendered at Yorktown French general who fought in the Continental Army American diplomat who helped negotiate the Treaty of Paris PLEASE HELP Which set of points includes all of the solutions for y = five halves times x plus three halves?A (x, five halves times x plus three halves) for all real numbersB (1, 1), (0, 1.5), (1, 4)C (x, y) for all real numbers D(3, 6), (2, 3.5), (0, 1.5), (2, 6.5), (3, 9) 5. The writer wants to add more information to the first paragraph (sentences 1-4) to support the main argument of the paragraph. Which of the following pieces of evidence would best achieve this purpose?- Studies show that, for the average teenager, nine hours and 15 minutes of sleep is ideal.- Sleep-deprived teens have difficulty managing and responding to stress, and they are more prone to violent behavior.- Failure to get enough sleep has also been linked to strained social and familial relationships.- Minnesota schools that delayed start times by an hour reported fewer students falling asleep in class.- Melatonin production does not diminish in teens until late morning, making it harder for them to awaken early. 5x3560solve for x