reduce 45/10 to halves

Answers

Answer 1
The answer would be 9 halfs or 9/2

Related Questions

A granite pyramid is 50 feet high and has a square base 30 feet on a side. If granite weighs 180 pounds per cubic foot, what is the weigh in tons of the pyramid?

Answers

The weight of the granite pyramid in tons is 1350 tons.

How to find the weight of the pyramid granite in tons?

A pyramid is a three-dimensional shape.

The granite pyramid is 50 feet high and has a square base of 30 feet on a side.

Granit weighs 180 pounds per cubic foot.

Therefore, the weight in tons of the pyramid can be calculated as follows;

Hence,

volume of the granite pyramid = 1 / 3 b² h

Therefore,

volume of the granite pyramid = 1 / 3 × 30² × 50

volume of the granite pyramid = 45000 / 3

volume of the granite pyramid = 15000 ft³

Hence,

1 ft³ = 180 pounds

15000 ft³ = ?

weight = 2700000 pounds

1 pounds = 0.0005 tons

2700000 pounds = ?

Therefore,

weight of the pyramid granite in tons = 1350 tons

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In the right trapezoid ABCD, BC is parallel to AD, and AD is contained in the line whose equation is y=−12x+10 y = − 1 2 x + 10 . What is the slope of the line containing BC? Explain how you got your answer

Answers

The slope of BC should be -12 because it is parallel to AD so the slope should be the same

An initial amount of $3500 is invested in an account at an interest rate of 6% per year, compounded continuously. Assuming that no withdrawals aremade, find the amount in the account after two years.Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

For this problem we use the continuously compounded interest formula:

[tex]M=M_0e^{rt}[/tex]

where M_0 is the initial amount, r is the interest rate per year and t is the number of years.

Substituting M_0=$3500, r=0.06, and t=2 we get:

[tex]\begin{gathered} M=3500e^{0.06\cdot2}=3500e^{0.12} \\ M=3946.24 \end{gathered}[/tex]

Based on the degree of the polynomial f(x) given below, what is the maximum number of turning points the graph of f(x)
can have?
f(x) = -3+x²-3x - 3x³ + 2x² + 4x4

Answers

The maximum number of turning points based on the degree of the polynomial is 2.

What is the turning point?A polynomial function is a function that can be expressed in the form of a polynomial. The definition can be derived from the definition of a polynomial equation. A polynomial is generally represented as P(x). The highest power of the variable of P(x) is known as its degree.A turning point is a point in the graph where the graph changes from increasing to decreasing or decreasing to increasing.

Turning point = n-1, where n is the degree of the polynomial.

The highest order of the polynomial is 3.n = 3Turning point = 3 - 1 = 2

Therefore, the maximum number of turning points based on the degree of the polynomial is 2.

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The band is selling T-shirts for $15.00 each. They make $5.00 profit from each shirt sold. Write an equation to represent the profit earned,y,for selling,x,number of shirts.

Answers

The equation to represent the profit earned y, for selling x, number of shirts is y = 5x.

Given that:-

Selling Price of T-shirt = $ 15

Profit earned per T-shirt = $ 5

We have to form an equation to represent the profit earned y, for selling x, number of shirts.

We know that,

Profit earned by selling 1 T-shirt = $ 5

Hence, profit earned by selling x T-shirts = 5*x

We know that,

Profit earned by selling x T-shirts = y

Hence, we can write,

y = 5x

Hence, the equation that represents the profit earned y, for selling x, number of shirts is y = 5x.

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Adam is working in a lab testing bacteria populations. After starting out with a population of 390 bacteria, he observes the change in population and notices that the population quadruples every 20 minutes.Step 2 of 2 : Find the population after 1 hour. Round to the nearest bacterium.

Answers

The given information is:

The starting population of bacteria is 390.

The population quadruples every 20 minutes.

To find the equation of the population in terms of minutes, we can apply the following formula:

[tex]P(t)=P_0\cdot4^{(\frac{t}{20})}[/tex]

Where P0 is the starting population, the number 4 is because the population quadruples every 20 minutes (the 20 in the power is given by this), it is equal to 4 times the initial number, and t is the time in minutes.

If we replace the known values, we obtain:

[tex]P(t)=390\cdot4^{(\frac{t}{20})}[/tex]

To find the population after 1 hour, we need to convert 1 hour to minutes, and it is equal to 60 minutes, then we need to replace t=60 in the formula and solve:

[tex]\begin{gathered} P(60)=390\cdot4^{(\frac{60}{20})} \\ P(60)=390\cdot4^3 \\ P(60)=390\cdot64 \\ P(60)=24960\text{ bacterias} \end{gathered}[/tex]

Thus, after 1 hour there are 24960 bacterias.

find the slop of the line passing through the points (1,-1) and (-1,1)​

Answers

Answer:

I think its done this way. But I don't know if the answer is correct.

Dianne is 23 years older than her daughter Amy. In 5 years, the sum of their ages will be 91. How old are they now?Amy is ? years old, and Dianne is ? years old.

Answers

Currently

Let Amy's current age be x. Since Dianne is 23 years older than her daughter, then she is (x + 23) years old.

In 5 years

Amy's age will be (x + 5) years.

Dianne's age will be:

[tex]x+23+5=(x+28)\text{ years}[/tex]

The sum of their ages in 5 years is 91. Therefore, we have:

[tex](x+5)+(x+28)=91[/tex]

Solving, we have:

[tex]\begin{gathered} x+5+x+28=91 \\ 2x=91-5-28 \\ 2x=58 \\ x=\frac{58}{2} \\ x=29 \end{gathered}[/tex]

Amy is 29 years old. Therefore, Dianne will be:

[tex]29+23=52\text{ years old}[/tex]

ANSWER:

Amy is 29 years old, and Dianne is 52 years old.

figure0123456vehicles4122028364452linear ?pattern ?constant?

Answers

Problem

Solution

For this case we need to verify if the pattern is linear so we cna check this doing the following operations:

(12-4)/(1-0) =8

(20-12)/(2-1) =8

(28-20)/(3-2) =8

(36-28)/(4-3) =8

(44-36)/(5-4) =8

(52-44)/(6-5) =8

And as we can see we have the same constant so we can conclude that we have a linear pattern with a constant value of k=8

That means for every increase in the figure the vehicles increase by 8

We can also find the formula for the linear pattern and we have:

4 =8 (0)+b

And solving for b we got

b= 4

And the equation y=mx+b is:

y= 8x +4

is there one solution to the following system of equations by elimination 3x + 2y equals 3 3x + 2y equals 19

Answers

3x+2y= 3 (a)

3x+2y= 19 (b)

Subtract (b) to (a) ; elimination method.

3x+ 2y = 3

-

3x+2y= 19

_________

0 = 19

Since both variables were eliminated, the system has no solutions.

option c.

find the perimeter of a garden that measures 6 feet by 3/4 foot?

Answers

The perimeter of a garden that measures 6 feet by 3/4 foot is 13.50 feet.

What is the perimeter?

The perimeter of a rectangle is calculated thus:

Perimeter = 2(Length + Width)

From the information, we want to find the perimeter of a garden that measures 6 feet by 3/4 foot.

This will be illustrated thus:

Perimeter = 2(Length + Width)

Perimeter = 2(6 + 3/4)

Perimeter = 2(6 + 0.75)

Perimeter = 2(6.75)

Perimeter = 13.50

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Determine whether each linear function is a direct a variation. If so, state the constant of variation. If not, explain why notI need help for number 6

Answers

In direct variation function, variables x and y are related by the next formula:

y = kx

where k is the constant of variation.

Isolating k for the above formula, we get:

k = y/x

Computing y divided by x with the values of the table:

[tex]\frac{5}{10}\ne\frac{6}{11}\ne\frac{7}{12}\ne\frac{8}{13}[/tex]

Given that all the quotients are different, then the linear function is not a direct variation

I don’t know what im doing wrong. Can someone help?

Answers

We want to write

[tex]\frac{\sqrt[]{5}+1}{2}[/tex]

as decimal, doing it on a calculator we have

[tex]\frac{\sqrt[]{5}+1}{2}=1.61803398875[/tex]

But we only need three decimal places, then the result is

[tex]\frac{\sqrt[]{5}+1}{2}=1.618[/tex]

open up or down, vertex:(0,-4), passes through: (-3,5)

Answers

open up or down, vertex:(0,-4), passes through: (-3,5)​

In this problem we have a vertical parabola open upward

the equation in vertex form is equal to

y=a(x-h)^2+k

where (h,k) is the vertex

we have

(h,k)=(0,-4)

substitute

y=a(x)^2-4

Find the value of a

with the point (-3,5)

substitute in the equation

5=a(-3)^2-4

5=9a-4

9a=5+4

9a=9

a=1

therefore

the equation is

y=x^2-4

answer is

f(x)=x^2-4

two functions are given below: f(x) and h(x) state the axis of symmetry for each function and explain how to find it f(x)=3(x+4)^2+1​

Answers

The axis of symmetry for each function are x = -4 and x =1

How to determine the axis of symmetry for each function?

The functions are given as

f(x) and h(x)

As a general rule of functions;

The axis of symmetry for a function is the x-coordinate of the vertex of the function

In f(x), we have

f(x)=3(x+4)² + 1​

The vertex of this function is

(x, y) = (-4, 1)

So, the axis is x = -4

For function h(x), we have

The vertex of this function is

(x, y) = (1, -3)

So, the axis is x = 1

Hence, the axis of symmetry are x = -4 and x =1

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Translate and solve: The difference of a and 7 is 11

Answers

Answer:

(B)a=18

Explanation:

The difference of a and 7 translated as an expression is:

[tex]a-7[/tex]

Thus, the equation is:

[tex]a-7=11[/tex]

To solve for a, add 7 to both sides of the equation:

[tex]\begin{gathered} a-7+7=11+7 \\ a=18 \end{gathered}[/tex]

The correct choice is B.

Two seamstresses sew 5 curtains in 3 hours. How many curtains will 12 seamstresses sew in the same time if the seamstresses all work at the same rate?

Answers

Answer:

30 curtains

Step-by-step explanation:

You have 6 times as many seamstresses so you will get 6 times as many curtains

6 * 5 = 30 curtains

The amount of freight transported by rail in the u.s was about 580 billion ton-miles in 1960 and has been increasing at a rate of 2.32% per year since then.a. write a function representing the amount of freight, in billions of ton-miles, transported annually. ( 1960 = year 0 )b. graph the functionc. in what year would you predict that the number of ton-miles would have exceeded or would exceed 1 trillion (1,000 billion)?

Answers

The amount of freight transported by rail was 580 billion ton-miles in 1960.

The amount increased at a rate of 2.32% per year.

a. The growth in freight transport with respect to the passing years can be expressed as exponential growth. The general form of this equation is

[tex]y=a(1+r)^x[/tex]

Where

y represents the final number after "x" periods of time

a represents the initial number at x=0

r represents the growth rate, expressed as a decimal value

x represents the number of time intervals that have passed

For this example, the initial amount is a=580 billion

The growth rate is r=2.32/100=0.0232

You can determine the equation as follows:

[tex]y=580(1+0.0232)^x[/tex]

b. This function is of exponential increase, its domain is all real numbers and its range is all positive real numbers, you can symbolize it as y > 0, it's increasing, and it has a horizontal asymptote as x approaches -∞

To graph it, you have to determine at least two points of the graph, I will determine 3

For x=-100

[tex]\begin{gathered} y=580(1+0.0232)^{-100} \\ y=58.53 \end{gathered}[/tex]

For x=0

[tex]\begin{gathered} y=580(1+0.0232)^0 \\ y=580 \end{gathered}[/tex]

For x=10

[tex]\begin{gathered} y=580(1+0.0232)^{10} \\ y=729.51 \end{gathered}[/tex]

The points are

(-100,58.53)

(0,580)

(10,729.51)

Plot the points and then draw an increasing line from -∞ to +∞

c. To determine the time when the freight transported will exceed 1000 billion tom-miles, you can use the graph, just determine the value of x, for which y=1000

This value is approximate x=23.57

This means that counting from 1960 will take 23 and a half years to reach over a trillion ton-miles transported.

Add the number of years to the initial year to determine the date:

[tex]1960+23=1983[/tex]

By 1983 the number of ton-miles transported will exceed the trillion.

How do I solve this and what is the answer

Answers

Answer:

Answer is 20 degrees
:)

The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 30.8 miles per gallon, with a standard deviation of 4.1 miles per gallon. Assume that a Normal model applies. Find the probability that a randomly selected automobile will average: 1. Less than 28 miles per gallon. Chapter 6 Assignment 2. More than 26 miles per gallon.

I need much help with this normal distribution question. ​

Answers

The normal distribution, often known as the Gaussian distribution, is a symmetric probability distribution about the mean.

What is meant by normal distribution?

The probability density function for a continuous random variable in a system defines the Normal Distribution.

A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.

The normal distribution, often known as the Gaussian distribution, is a symmetric probability distribution about the mean. This shows that data close to the mean occur more frequently than data far from the mean. On a graph, the normal distribution is represented by a "bell curve."

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the length of the rectangle is two feet less than 3 times the width.if the area is 65ft^2.find the dimension.

Answers

Given:

The area of the rectangle, A=65ft^2.

Let l be the length of the rectangle and w be the width of the rectangle.

It is given that the length of the rectangle is two feet less than 3 times the width.

Hence, the expression for the length of the rectangle is,

[tex]l=3w-2\text{ ----(A)}[/tex]

Now, the expression for the area of the rectangle can be written as,

[tex]\begin{gathered} A=\text{length}\times width \\ A=l\times w \\ A=(3w-2)\times w \\ A=3w^2-2w \end{gathered}[/tex]

Since A=65ft^2, we get

[tex]\begin{gathered} 65=3w^2-2w \\ 3w^2-2w-65=0\text{ ---(1)} \end{gathered}[/tex]

Equation (1) is similar to a quadratic equation given by,

[tex]aw^2+bw+c=0\text{ ---(2)}[/tex]

Comparing equations (1) and (2), we get a=3, b=-2 and c=-65.

Using discriminant method, the solution of equation (1) is,

[tex]\begin{gathered} w=\frac{-b\pm\sqrt[]{^{}b^2-4ac}}{2a} \\ w=\frac{-(-2)\pm\sqrt[]{(-2)^2-4\times3\times(-65)}}{2\times3} \\ w=\frac{2\pm\sqrt[]{4^{}+780}}{2\times3} \\ w=\frac{2\pm\sqrt[]{784}}{6} \\ w=\frac{2\pm28}{6} \end{gathered}[/tex]

Since w cannot be negative, we consider only the positive value for w. Hence,

[tex]\begin{gathered} w=\frac{2+28}{6} \\ w=\frac{30}{6} \\ w=5\text{ ft} \end{gathered}[/tex]

Now, put w=5 in equation (A) to obtain the value of l.

[tex]\begin{gathered} l=3w-2 \\ =3\times5-2 \\ =15-2 \\ =13ft \end{gathered}[/tex]

Therefore, the length of the rectangle is l=13 ft and the width is w=5 ft.

Solve each equation for the given variable.-2x + 5y = 12 for ySolve each equation for y. Then find the value of y for each value if x.y + 2x = 5; x = -1, 0, 3

Answers

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

Step 01:

Data

-2x + 5y = 12

y = ?

Step 02:

We must apply algebraic rules to find the solution.

-2x + 5y = 12

5y = 12 + 2x

y = 12 / 5 + 2x / 5

[tex]y\text{ =}\frac{12}{5}\text{ + }\frac{2x}{5}[/tex]

The answer is:

y = 12 / 5 + 2x / 5

Please it’s due todayAre there any limitations on the inputs of the equation?Does the graph have any symmetry?If so, where? When will the graph point upward? When will it point downward?

Answers

We have the following:

1.

There is no limitation on the input values, the domain is all real numbers.

2.

Yes, it has an axis of symmetry at the point (0,0)

3.

The graph point upward in the interval:

[tex](0,\infty)[/tex]

The graph point downward in the interval:

[tex](-\infty,0)[/tex]

how to find the width to a pyramid with the volume height and length

Answers

The volume of a pyramid is given by the formula

[tex]V_{\text{pyramid}}=\frac{1}{3}\times base\text{ area}\times height[/tex]

Write out the given dimensions

[tex]\begin{gathered} \text{Volume}=80\operatorname{cm}^3 \\ \text{Height}=10\operatorname{cm} \\ \text{length}=6\operatorname{cm} \\ \text{width}=\text{unknown} \end{gathered}[/tex]

Since the base of the pyramid is a rectangle, the base area is

[tex]A_{\text{rectangle}}=\text{width }\times length[/tex]

Substituting the given dimensions to get the value of the width\

[tex]\begin{gathered} V_{\text{pyramid}}=\frac{1}{3}\times width\times length\times height \\ 80=\frac{1}{3}\times width\times6\operatorname{cm}\times10\operatorname{cm} \end{gathered}[/tex][tex]\begin{gathered} 80\operatorname{cm}=20\times width \\ \text{width}=\frac{80}{20} \\ \text{width}=4\operatorname{cm} \end{gathered}[/tex]

Hence, the width of the pyramid is 4cm

Solve the system of two linear inequalities graphically.Sy < -2x + 3y > 6x – 9Step 1 of 3: Graph the solution set of the first linear inequality.

Answers

The red graph represents y < -2x + 3

The blue graph represents y > 6x - 9

The solutions of the system of inequalities lie on the red-blue shaded

The part which has two colors

Since the first inequality is y < -2x + 3, the shaded is under the line

Since the second inequality is y > 6x - 9, the shaded is over the line

The common shaded of the two colors represents the area of the solutions of the 2 inequalities

The type of boundary lines is dashed

The points on the boundary lines are

For the red line (0, 3) and (4, 0)

For the blue line (0, -9) and (1, -3)

There is a common point on the two lines (1.5, 0)

Please help quick :/

Answers

Answer:

The design fee is $40.

Step-by-step explanation:

The y intercept means the cost when the number of shirts ordered is 0. This means that in the context of this problem the y intercept is the design fee.

The vertices of a rectangle are located at A(4, -1), B(-4, -1), C(-4, 6), and D(4, 6). What is the distance between the side AB and BC respectively?

Answers

The coordinates of the vertices of a rectangle are:

[tex]\begin{gathered} A\left(4,-1\right) \\ B\left(-4,-1\right) \\ C\left(-4,6\right) \\ D\left(4,6\right) \end{gathered}[/tex]

Plotting these points:

If the point (-6, 4) is dilated by a scale factor of 1/2, the resulting point is (-3,2).TrueFalse

Answers

(-6,4)

Multiply each coordinate by 1/2

( -6 * 1/2 , 4 * 1/2) = (-3,2)

True

Write an expression in terms of Pi that represents the area of the shaded part of N.

Answers

Answer:

The area of the shaded part is:

[tex]=(PN)^2\lbrack\pi-\frac{1}{2}(75-\sin 75)\rbrack[/tex]

Explanation:

The area of the shaded part is the subtraction of the area of the unshaded part from the area of the whole circle.

Area of the ushaded part is:

[tex]\frac{1}{2}\times(PN)^2\times(75-\sin 75)[/tex]

Area of the circle is:

[tex](PN)^2\pi[/tex]

Area of the shaded part is:

[tex]\begin{gathered} (PN)^2\pi-\frac{1}{2}(PN)^2(75-\sin 75) \\ \\ =(PN)^2\lbrack\pi-\frac{1}{2}(75-\sin 75)\rbrack \end{gathered}[/tex]

Factor out the greatest negative common factor for the expression.- 8mºn - 40m?n4Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.OA. - 8mºns - 40mºn4-(Factor completely.)OB. There is no common factor other than 1.

Answers

Solution

- The question tells us to factor out the greatest negative common factor of the expression below:

[tex]-8m^3n^5-40m^3n^4[/tex]

- The greatest negative common factor is the negative monomial with the largest magnitude, which divides evenly into each term of the given expression.

- Let us factorize the expression to derive this greatest negative common factor below:

[tex]\begin{gathered} -8m^3n^5-40m^3n^4 \\ -8,m^3,\text{ and }n^4\text{ are all co}mmon\text{ in the expression above.} \\ \text{Thus, we have:} \\ \\ -8m^3n^4(n-5) \end{gathered}[/tex]

Final Answer

The answer is

[tex]-8m^3n^4(n-5)[/tex]

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find x..in a right triangle with a height of 10 and hypotenuse of 19 A diesel train left Abuja and traveled west. One hour later a freight train left traveling 50 mph faster in an effort to catch up to it. After three hours of freight train finally caught up. Find the diesel trains average speed. Which sequence of transformations will map AABC onto AA' B'C'?A- reflection and translationB- rotation and reflectionC- translation and dilation D- dilation and rotation Writing a equation of a circle centers at the origin What was the new technology developed in 1456 Write an equation of a circle with diameter AB.A(1,1), B(11,11)Choose the correct answer below.A. (X-6)2 + (y-6)2 = 11C. (x-6)2 (y+6)2 = 50E. (X+6)2 + (y-6)2 = 50G. (X+6)2 (y + 6)2 = 50 do you believe it is possible to compromise on an ethical issue such as slavery Read the excerpt from The Odyssey.but Cyclops went on filling up his bellywith manflesh and great gulps of whey,then lay down like a mast among his sheep.What two unlike elements are being compared in this simile?the Cyclops and the mast of a shipthe Cyclops belly and his sheepmanflesh and gulps of wheya mast and a flock of sheep Describe what the world will be like in 50 years 7 paragraphs please help !! Find the measures of angle B (questions 1-6) The lytic cycle is one reproductive cycle that viruses can enter.What is the name of the other virus life cycle?A. LytogenicB. LysogenicC. LysicD.Lysosome A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?A. 10 N to the leftB. 50 N to the rightC. 50 N to the leftD. 10 N to the right What is 9207 /10 equivalent to? A music club charges an initial joining fee of $24.00. The cost per CD is $8.50. The graph shows the cost of belonging to the club as a function of CDs purchased. How will the graph change if the cost per CD goes up by $1.00.? (The new function is shown by the dotted line.) In the picture below, angle 2 = 130 degrees, what is the measurement of angle 8? Need an explanation why its 46.4(Please help I need this asap) the radius of a circular oil slick expands at a rate of 3 m/min. (a) how fast is the area of the oil slick increasing when the radius is 58 m? (use symbolic notation and fractions where needed.) can someone help me !! AnsFind the Tem 90 is in theAp-10-8,-6,-4 Identify the key features of the graph, including the x - intercepts. Y-intercept, axis of symmetry, and vertex. (3)