Answers
ANSWER:
We can see the answer in the drawing.
STEP-BY-STEP EXPLANATION:
In this case, we make the diagram as follows:
Related Questions
A test is worth 100 pts. Each problem is worth either 2 or 5 pts. The number of 5 pt problems is 22 less than 2pt problems. How many problems of each type are on the test
Answers
The number of two pt problems are 30 and 5 pt problems are 8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x= one type of question
Let x-22= the other type of questions
100=2x+5(x-22) Distribute
100=2x+5x-110
100=7x-110
100+110=7x
210=7x
Divide both sides by 7
one type 30=x
second type 30-22=8
Hence the number of two pt problems are 30 and 5 pt problems are 8.
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In 17.2 seconds, a shopping cart is pushed 15.6 meters towards the west. What is the velocity of the cart? A. 1.6 m/s East B. 0.9 m/s West C. 1.1 m/s West D. 1.6 m/s West c
Answers
We have that:
[tex]\text{velocity}=\frac{\text{distance}}{\text{time}}[/tex]then, in this case, we have:
[tex]\begin{gathered} d=15.6m \\ t=17.2s \\ v=\frac{d}{t} \\ \Rightarrow v=\frac{15.6m}{17.2s}=0.90\frac{m}{s} \\ v=0.9\frac{m}{s} \end{gathered}[/tex]therefore, the velocity of the cart is 0.9 meters per second.
I Really Need Help..
PHOTO BELOW:
Answers
Answer: He is not correct because when simplifying an expression, you can only add like terms together.
Step-by-step explanation:
you are given the expression: x^2 + 4x - 2x
when simplifying an expression, you can only add/subtract like terms (terms that have the same variable which are raised to the same power).
in the expression, you can only subtract 4x - 2x because they have like terms/the same variable.
you cannot add x^2 to 4x because x^2 and x are NOT like terms/the same variable. (If 4x was 4x^2, then you would be able to add them together.
meaning the simplified expression should be: x^2 + 2x and not 3x^2
I used 999 sheets of toilet paper each day for 777 days. The roll had 969696 sheets when it was new. How many sheets of toilet paper have not been used? please get the answer right
Answers
The number of sheets of toilet paper that have not been used is 193473.
What is multiplication?Multiplication simply has to do with the product of numbers.
From the information, the roll had 969696 sheets when it was new and the person used 999 sheets of toilet paper each day for 777 days.
Therefore, the sheet left will be:
= Number in the new roll - Sheets used
= 969696 - (777 × 999)
= 969696 - 776223
= 193473
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Write an equation in point-slope form for the line through the two points. Then change it toslope-intercept form. Rewrite the equation in standard form.10. (1, 2) and (3, 12)11. (6, 2) and (-2,-2) 12. (4,1) and (1,4)Please help I have sooo many assignments (:
Answers
For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is
[tex]m=\frac{-2-1}{-1-0}=\frac{-3}{-1}=3[/tex]and the line equation will be:
[tex]y-1=3x\Rightarrow y=3x+1[/tex]For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:
[tex]m=\frac{-1-0}{0-(-1)}=\frac{-1}{1}=-1[/tex]and the line equation will be:
[tex]y=-1(x-(-1))\Rightarrow y=-x-1[/tex]For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero
Find a translation that has the same effect as the composition of translations below. T(5.3) (X,Y) followed by T -3,6) (X,Y) Choose the correct answer below. c A. (x,y)=(x + 2,y - 3) O B. (x,y)=(x + 2 y + 9) o C. (x,y)=(x + 8.y + 9) O D. (x,y)—(X + 8.y-3)
Answers
letter D is the answer
formula p*r*t=I 4350 * 4 * x = I
Answers
As per the concept of Simple interest, the value of x that refers the time is 0.000057.
Simple interest:
Simple interest is obtained by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Give,
Here we have the expression like the following:
p*r*t=I
4350 * 4 * x =1
Here we need to find the value of x.
While we looking into the expression, we have identified that the value of
Principal amount (p) = 4350
rate of interest (r) = 4
Time = x
Interest amount (I) = 1
So, while we execute this expression then we get the value of times as,
=> 4350 x 4 x x = 1
Here we need the value of x so, we have to move the other to the right hand side, then we get,
=> x = 1/(4350 x4)
=> x = 1/17400
=> x = 0.000057
Therefore, the value of x is 0.000057.
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Loule and Nicky were asked to find point P that divides the directed line segment FG so that the ratio of FP to PG is 4 to 1. Loule says the coordinate of point P is (-4,-4), while Nicky says the coordinate of point P is (2, 5). Who is correct? Describe the mistake that was made by the student who was incorrect
Answers
Using ratio and proportion, Louie is correct.
Ratio is defined as the relationship between two quantities. On the other hand, proportion is defined as the equality between two or more ratios.
From the given graph (see attached photo), the coordinates of Point F and Point G is (4, 8) and (-6, -7).
If the ratio of FP to PG is 4 to 1, then the ratio of the horizontal distance and vertical distance between the two endpoints is also 4 to 1.
FP : PG = 4 : 1
FP/PG = 4/1 = 4
x-coordinate of P
(4 - x)/(x - -6) = 4
(4 - x) = 4(x + 6)
4 - x = 4x + 24
-5x = 20
x = -4
y-coordinate of P
(8 - y)/(y - -7) = 4
(8 - y) = 4(y + 7)
8 - y = 4y + 28
-5y = 20
y = -4
Hence, the coordinates of Point P is (-4, -4).
Therefore, Louie is correct, while Nicky is mistaken probably while setting up the proportion and solving for the coordinates.
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Select all ratios equivalent to 8:4
4:2. 14:7. 5:10
Answers
Answer:
4:2 and 14:7
Step-by-step explanation:
The ratios equivalent to 8:4 would be:
4:2
14:7
5:10 wouldn't be equivalent because if you simplify that, it is 1/2 and if you simplify 8/4, it is 2. 1/2 and 2 are not the same.
:D
Answer:
They are all equivalent except for 5:10
Step-by-step explanation:
You can write ratios as fractions
[tex]\frac{8}4}[/tex] [tex]\frac{4}{2}[/tex] [tex]\frac{14}{7}[/tex] [tex]\frac{5}{10}[/tex] If I simplify each fraction, I can see that they all equal 2 expect for the the last one.
2 2 2 1/2
graph the line that passes through the point (0,3) and is parallel to another line whose slope is 1.2.
please do it quick i need it asap
Answers
Hello,
Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.
So now we have a point and a slope, so we can use the following formula to find the equation of the line:
y-y1 = m (x-x1)
Where:
y1 - y coordinate of a point on the line
x1 - x coordinate of the same point on the line
m - slope
Plugging in we get:
y+3 = 1.2 (x-0)
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)
Cheers
-4, 0, -2/3, 4.11111…, 2, π, √6 which are integers?
Answers
Integer Numbers
It can be defined as the number that can be written without a fractional (decimal) component.
Integers can be positive, negative, or 0.
From the numbers on the list only -4, 0, and 2 are integers. The rest of the numbers cannot be written without a decimal component.
For example:
-2/3 = -0.666
π = 3.14
The square root of 6 is 2.45
4.111... has an evident decimal component.
Answer: -4, 0, and 2
Which of the equations shown have infinitely many solutions ? Select all that apply. A. 3x-1=3x+1, B. 2x-1=1-2x, c 3x-2=2x-3, D 3(x-1)=3x-3, E. 2x+2=2(x+1), F. 3(x-2)=2(x-3)
Answers
Answer:
The equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]Explanation:
For an equation to have infinitely many solutions, the left-hand side of the equation and the right side of the equation must be equivalent/equal.
That means that the expression before the equal sign must be equivalent to the expression after the decimal.
such as;
[tex]\begin{gathered} x=x \\ x+3=x+3 \\ 2x=2(x) \\ 4x+4=4(x+1) \end{gathered}[/tex]From the given equation, the equations that have their left and right sides equivalent are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 3x-3=3x-3 \\ \\ 2x+2=2(x+1) \\ 2x+2=2x+2 \end{gathered}[/tex]Therefore, the equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]Describe in words where cube root of 35 would be plotted on a number line. between 3 and 4, but closer to 3 between 3 and 4, but closer to 4 between 2 and 3, but closer to 2 between 2 and 3, but closer to 3
Answers
The ∛35 will be plotted between 3 and 4, but closer to 3 on the number line.
In basic mathematics, real numbers are shown as a fine graphic of a graduated straight line which is called a number line.
Every point on a number line is considered to correspond to a real number, and every real number is assumed to correspond to a point.The integers are typically shown as lines of specially chosen, evenly spaced dots. Even though the image only shows the integers from -3 to 3, as well as values that are in between the integers, the product contains all real numbers, going forever in both directions. When teaching the very foundations , addition and subtraction with negative numbers, it is widely used as a teaching technique.We know that 35 lies between 27 and 64 , and 27 = 3³ and 64 = 4³.
Hence the ∛35 will be plotted between 3 and 4 and since 35 is closer to 27 than 64 , therefore it will be closer to 3.
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A house is bought for $75000 and then resold for $87000. Calculate the percentage profit
Answers
The selling price of the house = $87000
Profit = selling price - cost price
=> Profit made = $87000-$75000
=> Profit made = $12000
Profit Percentage is given by the formula , Profit % = [tex]\frac{profit X 100}{cost price}[/tex]
=> Profit % = [tex]\frac{12000 X 100}{75000}
=> Profit % = 16%
Hence the percentage of profit made by reselling the house is [tex]\fbox{16%}[/tex].
Determine the length of the line segment shown.
graph of line segment from negative 6 comma negative 5 to 0 comma 3
100 units
25 units
10 units
8 units
Answers
The length of the line segment will be 10 units.
What is Distance?
The distance between two points (x₁ , y₁) and (x₂, y₂) is defined as;
D = √( y₂ - y₁)² + (x₂ - x₁)²
Given that;
Two endpoints of the line segment are (6, -5) and (0, 3).
Now,
The length of the line segment is distance between two endpoints (6, -5) and (0, 3).
So, The distance between two endpoints (6, -5) and (0, 3) is calculated as;
D = √(0 - 6)² + (3 - (-5))²
D = √36 + 64
D = √100
D = 10 units
Thus, The length of the line segment will be 10 units.
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9. Determine whether the following graph is a function or a relation.
Answers
Answer: Relation
Step-by-step explanation: it is a relation because if you take any number on the x axis and look at its points there are two points on multiple parts
suppose we want to choose 2 letters without replacement from four letters ABCD. (A)how many ways can the speed on if the order of choices is taken into consideration?(B) how many ways can this be done if the order of choices is not taken into consideration ?
Answers
A)
If the order of choice is taken into consideration, we consider four possibilities for the first choice and three for the second. Then the total number of ways is given by:
[tex]4\cdot3=12[/tex]B)
If the order of choices is not taken into consideration, we must divide the the previous result by 2, which is the total number of ways by which we can organize two letters (ex: AB and BA):
[tex]\frac{12}{2}=6[/tex]Finding the final amount in a word problem on compound interest
Answers
Remember that the formula to calculate the total amount in an account with compoud interest is:
[tex]P(1+r)^n[/tex]Where:
• P, is the principal (amount incially invested)
,• r ,is the rate of interest
,• n, is the times that the interest is compounded
Using this and the data given we'll get:
[tex]2000(1+\frac{4.8}{100})^9=3049.87[/tex]Thereby, we can conclude that the accounts balance after 9 years is $3,049.87
Number One in the photo provided
Answers
a. np = 8.91 and nq = 18.09 where n = 27 and p = 0.33
b. np = 3.75 and nq = 21.25 where n = 25 and p = 0.15
c. np = 9.68 and nq = 34.32 where n = 44 and p = .22
Solution:a. Given n = 27
p = 0.33
np = 27 x 0.33
= 8.91
nq = 27 x (1 - 0.33)
= 18.09
For the approximation of binomial distribution, the sample size must be greater than 10 for both the products np and n(1-p) to approximate the binomial distribution by a normal distribution.
Since here np < 10 approximation is not applicable.
μp = np = 27 x 0.33
= 8.91
σp = √npq = √(27)x (.33) x (1 - 0.33)
= 2.443
b. n = 25 and p = 0.15
np = 25 x 0.15
= 3.75
nq = 25 x (1 - 0.15)
= 21.25
Approximation is not possible because np < 10.
c. n = 44 and p = .22
np = 44 x 0.22
= 9.68
nq = 44 x (1 - 0.22)
= 34.32
Since here np< 10 approximation is not possible.
μp = np = 44 x 0.22
= 9.68
σp =√npq = √(44)x (.22) x (1 - 0.22)
= 2.747
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Please see the picture below. I need parts A B and C
Answers
We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:
Since the vertical line touches the graph in two axes this means that the given graph is not a function.
A number you can square to give an answer bigger than 500 but bigger than 600
Answers
The number that you can square to give an answer bigger than 500 but bigger than 600 = 25.
What is the square of a number?The square of a number is defined as the ability to multiple the given number by itself to give a perfect whole number.
For example the square of 2, which is written as 2² = 2×2 = 4
From the given scenario, the number that would be squared to give an answer bigger than 500 but bigger than 600 = 25
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Jeremiah keeps a record of how many pages he reads each day. He read 40% fewer pages today than yesterday. If he read 90 pages today, how many pages did he read yesterday?
Answers
Answer:
126
Step-by-step explanation:
90 ÷ 10 = 9
9 × 4 = 36
90 + 36 = 126
Factor out the greatest common factor. Simplify the factors, if possible.2(c + y)2 - 14(c+y)2 - 6(c+y)4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. 2(c+y) 3 – 14(c + y)2 - 6(c +y)4 =(Type your answer in factored form. Simplify your answer.)OB. There is no common factor other than 1.
Answers
The greatest common factor of a polynomial is the largest expression that divides all of the terms of the polynomial. In this case, we have:
[tex]2(c+y)^3-14(c+y)^2-6(c+y)^4[/tex]First, find the GCF of the coefficients of the terms. The coefficients are 2, 14 and 6, their GCF is 2.
On the other hand, notice that the factor (c+y) is a common factor for all three terms. Find the greatest power of (c+y) that divides all the terms. Since the lowest power of (c+y) in the expression is 2, then, the greatest power of (c+y) that divides all the terms is (c+y)^2.
The GCF of the expression is the product of the GCF of the coefficients and the GCF of the factors with variables.
Then, the GCF of the expression is:
[tex]2(c+y)^2[/tex]Factor out 2(c+y)^2 from the expression:
[tex]2(c+y)^3-14(c+y)^2-6(c+y)^4=2(c+y)^2\lbrack(c+y)-7-3(c+y)^2\rbrack[/tex]Therefore, the answer is option A and the expression inside the box should be:
[tex]2(c+y)^2((c+y)-7-3(c+y)^2)[/tex]
*IMAGE ATTACHED* (What’s the perimeter of the shaded figure below?
Answers
Answer:
The perimeter is 12 units.
Step-by-step explanation:
The answer would be 12 units because each side is 1 unit. If you count all the sides together, you get 12 units.
Answer: 12 units
Step-by-step explanation:
The perimeter is the length around a 2D shape. We will count the units that make up this shape's outline. See attached. Please note that as long as you count every side for this shape, it doesn't matter the order you count.
The perimeter is 12 units, the last option.
H(x)=-5/6x;h(x)=10
Find the value of x so that the function has the given value
Answers
The value of x = -12.
Define Function.
A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/2 ("f of x equals x divided by 2")
The given expression is
H(x)=-5/6 x
also, H(x) = 10
so, put H(x) value in given expression,
10 = -5/6 x
Now, solve for 'x'
-5x = 60
x = 60/(-5)
x = -12
Therefore, the value of x = -12
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when the proper fraction $\frac{n}{37}$ is written as a repeating decimal, the sum of the first $40$ digits to the right of the decimal point is $236$. what is $n$?
Answers
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
What is decimal?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
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Simplify the expression: 2v - 7 - 12v + 15
Answers
Hey there!
2v - 7 - 12v + 15
COMBINE the LIKE TERMS
= (2v - 12v) + (-7 + 15)
= 2v - 12v - 7 + 15
= -10v + 8
Therefore, your answer should be:
-10v + 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve the following system of equations by graphing. If this system is inconsis
identify the type of constraint.
y = 4x + 4
-12x + 3y = 3
Answers
Answer:
Inconsistent: parallel lines.
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=4x+4\\-12x+3y=3\end{cases}[/tex]
Use arithmetic operations to isolate y in the second equation:
[tex]\implies -12x+3y+12x=3+12x[/tex]
[tex]\implies 3y=12x+3[/tex]
[tex]\implies\dfrac{3y}{3}=\dfrac{12x}{3}+\dfrac{3}{3}[/tex]
[tex]\implies y=4x+1[/tex]
Therefore, we can see that both equations have the same slope and so the graphs of these equations are parallel.
The solution to a system of linear equations is the point of intersection.
As parallel lines never intersect, there are no solutions to this system and the system is said to be inconsistent.
Please help I will give brainliest
Answers
The value of x in the triangle is 3.
How to find the angles in a triangle?The exterior angle of the triangle is VBC.
Using the exterior angle theorem, the value of x can be found in the triangle.
The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Therefore,
m∠D = 9x - 2
m∠C = 40°
m∠VBC = 20x + 5
Hence,
20x + 5 = 9x - 2 + 40
20x + 5 = 9x + 38
20x - 9x = 38 - 5
11x = 33
x = 33 / 11
x = 3
Therefore,
x = 3
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PLEASE HELP DUE SOON!!!
Answers
The volume of blocks = 27n³cm3.
volume of the cube box = 216n⁹ cm3.
Solution:Here given,
6n³cm is the length of the cube-shaped box's side.
3n cm is the side length of the cube-shaped blocks.
We must calculate the volume of the box and the blocks.
The formula for cube volume is,
S³ = V
where s is the cube's side length
by substituting the values,
(6n³)³ cm3 box volume
= 216 n⁹ cm³
(3n)³ cm3 is the volume of the blocks.
= 27n³ cm³
As a result, the volume of the blocks is 27n³cm3 and the volume of the box is 216 n⁹ cm³.
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Answer:
A) Volume of one block = 27n³ cm³
Volume of the box = 216n⁹ cm³
B) 8n⁶ blocks will fit in one box.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cube}\\\\$V=s^3$\\\\where:\\ \phantom{ww}$\bullet$ $V$ is the volume. \\\phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}[/tex]
Part AThe side length of the cube-shaped block is 3n cm.
Substitute the given side length into the formula to find the volume of the block:
[tex]\begin{aligned}\implies \textsf{Volume of one block}&=(3n)^3\\&=3^3 \cdot n^3\\&=27n^3\;\sf cm^3\end{aligned}[/tex]
The side length of the cube-shaped box is 6n³ cm.
Substitute the given side length into the formula to find the volume of the box:
[tex]\begin{aligned}\implies \textsf{Volume of one box}&=(6n^3)^3\\&=6^3 \cdot (n^3)^3\\&=216n^9\; \sf cm^3\end{aligned}[/tex]
Part BTo find the number of blocks that will fit in the box, divide the volume of the box by the volume of one block:
[tex]\begin{aligned}\implies \textsf{Number of blocks}&=\dfrac{\textsf{Volume of box}}{\textsf{Volume of block}}\\\\& = \dfrac{216n^9}{27n^3}\\\\&=\dfrac{216}{27} \cdot \dfrac{n^9}{n^3}\\\\&=8 \cdot n^{9-3}\\\\&=8n^6\end{aligned}[/tex]