Find the slope of the line of fit and explain its meaning in the context of the data.

80; a student who studies for 0 hours is predicted to earn 80% on the test

60; a student who studies for 0 hours is predicted to earn 60% on the test

10; for each additional hour a student studies, their grade is predicted to increase by 10% on the test

5; for each additional hour a student studies, their grade is predicted to increase by 5% on the test

Answer:

The translation used to create the image from polygon ABCD to polygon A' B' C' D' is 5 units down.

Step-by-step explanation:

You can see this by observing that all of the y-coordinates in A' B' C' D' are 5 units less than their corresponding y-coordinates in ABCD. Specifically, the y-coordinates of the vertices in ABCD are (-1, -5, -5, -1), and the y-coordinates of the vertices in A' B' C' D' are (-6, -10, -10, -6).

Therefore, the vertical shift or translation used to create the image is 5 units down.

Answer:

5 units down.

Step-by-step explanation:

To solve this question, we need to compare the coordinates of the corresponding vertices of the two polygons and see how they change. A translation is a type of transformation that slides a figure by a certain distance and direction without changing its size or shape. The rule of a translation can be written as (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical shifts, we can see that:

We can see that all the vertices have the same change in their coordinates: x stays the same and y decreases by 5. This means that the translation used to create the image is 5 units down. The rule of this translation can be written as (x, y) -> (x, y - 5). Therefore, the answer is 5 units down.

The number of times Maria drove the car on day 4 is 7 times.

A line graph is a graph that connects different data points on a graph using a straight line. A line graph is made up of a x-axis and a y-axis. In the line graph given, the number of days is on the x-axis and the number of times the car was driven is on the y-axis. A line graph is used to show quantitative data. Line graphs are used to visualise data.

In order to determine the number of times Maria drove the car on day 4, locate where day 4 is on the x-axis. Then trace 4 upward toward a data point. When the data point is located, trace it to the y-axis. When day 4 is traced to the y-axis, the value gotten is 7.

To learn more about line graphs, please check: brainly.com/question/27252279

Answer:

She drove her car 7 times on day 4.

Step-by-step explanation:

The left column is how many times she drove her car and on day 4, the yellow dot is on line 7.

Answer:

13

13

Step-by-step explanation:

-7+6= 7+6= 13

-7+6= 7+6= 13

Answer: $82.35

Step-by-step explanation:

For every 3 you buy, you get 2 free. This means out of every 5 twelve-packs, you pay for 3 of them, or 60%.

3/5 = 0.6 or 60%

So, if you buy 25 of them, you pay for 60% of 25 twelve-packs, or 15 of them.

25 x 0.6 = 15

If you are paying for 15 twelve-packs, and each one is $5.49, then the total would be $82.35.

15 x 5.49 = 82.35

Answer:82.35

Step-by-step explanation:

For every 3 you buy, you get 2 free. This means out of every 5 twelve-packs, you pay for 3 of them, or 60%.

3/5 =  60%

if you buy 25 of them, you pay for 60% of 25 twelve-packs, or 15 of them.

25 x 0.6 = 15

15 twelve-packs,  each one is $5.49, then the total would be $82.35.

15 x 5.49 = 82.35

Explanation:

30/5=6

6*3=18

Therefore, she can ride approximately 18 miles in 3 hours.

"Pure mathematics is, in its way, the poetry of logical ideas" -Albert Einstein

Answer:

OK so, volume= length x width x height

so, if the length of kyles box is 2, and his height is 3, but the volume is 12, then the width would be 2.

2 x 2 x 3=12

however, for myla, if her box is, 2 feet long and 4 feet high, but the volume is 16, then, her width is also 2.

2 x 2 x 4= 16

a way to look at this is, in the problem you are given the height and length, so, if its length times width times height, take your given length and multiply it by a number that will make it equal your given volume.

for example, let q=width, let m=height, and let j=length, p=volume, h=random variable.

j (x) h (x) m=p

its your job to find h.

hope this helps!

Step-by-step explanation:

Answer: A=2cm

Step-by-step explanation:

All the sides of a regular hexagon are equal. SO PQ is the same as MN

Answer: It's A) 2 cm

Step-by-step explanation: All the sides are the same length.

Good luck!

Answer:

16,49 and 121 are perfect squares

Step-by-step explanation:

hope it helps :)

Answer:Top question:Table =0.8
Constant of proportionality is 1.25?


a)The speed they are going at?
b)187.5(units which are being used)
c)0.4 hours=24 minutes

Step-by-step explanation:

a)The formula is distance=speed x time. Speed is only one missing
b)Substitute into the formula 75 x 2.5=187.5
c) Re-arrange the formula so it becomes time = distance/speed
Substitute into it so it become time=30/75
=0.4
=24 minutes





I think...

Answer:

Step-by-step explanation:

Top question:Table =0.8

Constant of proportionality is 1.25?

a)The speed they are going at?

b)187.5(units which are being used)

c)0.4 hours=24 minutes

Step-by-step explanation:

a)The formula is distance=speed x time. Speed is only one missing

b)Substitute into the formula 75 x 2.5=187.5

c) Re-arrange the formula so it becomes time = distance/speed

Substitute into it so it become time=30/75

=0.4

=24 minutes

Answer: 10

Step-by-step explanation:

20*6*8=960

960/(12*8)=10

Answer:

10

Step-by-step explanation:  volume=l*w*h   20*6*8=960       12*8*10=960

Answer:b

Step-by-step explanation:

Answer:

#3 points are
(-4, 2)
(4, 2)

(-4, -2)

(4, 0)

#4 scale factor = 1/4

#5 scale factor = 1/2

Step-by-step explanation:

#3

take the given points and multiply the x and y by 2/3

#4 take any point and compare it to a similar point on the dilated graph. for example, you take a point from the original graph (-2, 4) and a point from the dilated graph (-1/2, 1) since you multiply -2 by 1/4 to get -1/2, that is your scale factor.

#5 same as #4 but with different points

Answer:

I haven't done anything like this for many years, but i think the answer is 900

Step-by-step explanation:

5000/ 150 = 33.33333333

33.3333333 X 27 = 900

Again, I haven't done this in forever, but I'm 99% sure it is 900. :)

Answer:

t = 5 kilometers

Step-by-step explanation:

From the given figure,

Perimeter = 18 kilometers

Now, the formula for perimeter of a rectangle = 2(l + b)

Where,

'l' is the length of the rectangle

and

'b' is the breadth of the rectangle.

Since length is the longest side of a rectangle, therefore from the given figure

=> l = t kilometers

and

=> b = 4 kilometers

Substituting values in the formula,

18 = 2(t + 4)

=> 18/2 = t + 4

=> 9 = t + 4

=> 9 - 4 = t

=> t = 5 kilometers

Answer:

5 km

Step-by-step explanation:

We know that the perimeter of this rectangle is 18km.

We also know that 1 side is 4km.

Given the perimeter formula:

[tex]P=2(l+w)[/tex]

We can substitute our given values:

18=2(4+w)

Solve the right side

18=8+2w

subtract 8 from both sides

10=2w

divide both sides by 2

5=w

This means that z, the width, is 5 km.

Hope this helps!

Answer:

Price per large envelope = $1.42 (option A)

Price of each postcard = $0.35 (not asked for in this specific question)

Step-by-step process for solution given below

Step-by-step explanation:

The first thing to do for this problem and other similar problems is to set up the system of linear equations to be solved

We start with the unknowns and provide variable names for these unknowns

There are two unknowns here - the cost of each postcard and the cost of each large envelope

Let
x = cost of one postcard

y = cost of one large envelope

Customer 1 bought 14 postcards(cost = 14x) and 5 envelops(cost = 5y) for a total cost of $12

We can set up this as an equation:
12x + 5y =  12    ............ [1]

Customer 2  bought 10 postcards(cost = 10x) and 15  envelops(cost = 15y) for a total cost of $24.80
This translates to the following equation:
10x + 15y = 24.80 .... [2]

Let's re-write these equations one below the other for easier solution:

[tex]\begin{amatrix}14x+5y=12\dots[1]\\ 10x+15y=24.8\dots[2]\end{amatrix}[/tex]

Solving by substitution:
From any one of the above equations, express one variable in terms of the other variable and substitute for that variable in the other equation to solve.

Take equation [1]
[tex]14x+5y=12[/tex]

Let's express x in terms of y.

Move 5y to the right:
[tex]14x=12-5y[/tex]

[tex]x =\dfrac{12-5y}{14}[/tex]

Use this expression in y for x in equation [2]

[tex]10x + 15y = 24.8\\\\\implies 10 \cdot \dfrac{12-5y}{14}+15y=24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\[/tex]

Multiply throughout by 14:
[tex]14 \cdot \dfrac{\left(12-5y\right)\cdot \:10}{14} + 14\cdot 15y = 14 \cdot 24.8\\\\(12-5y)10 + 210y = 347.2\\\\120 - 50y + 210y = 347.2\\\\120 + 160y = 347.2\\\\160y = 347.2- 120\\\\160y = 227.2\\\\y = \dfrac{227.2}{160}\\\\y = 1.42[/tex]

Substitute y = 1.42 in equation [tex]x=\dfrac{12-5y}{14}[/tex]
[tex]x=\dfrac{12-5\cdot \:1.42}{14}\\\\x = 0.35\\\\[/tex]

So the cost of each large envelope was $1.42 and cost of each postcard was $0.35

Answer is option A

Solve by elimination

The idea here is to get the coefficients of one of the variables the same in both equations by multiplying / dividing one or both of the equations by some factor and then add/subtract to isolate the other variable and solve

For equations 1 and 2 do the following

Subtract the equations:
[tex]70x+105y=173.6\\-\\70x+25y=\;\;\;\;\;60\\\\[/tex]
-------------------------------
[tex]80y=113.6[/tex]

y = 113.6/80 = 1.42 as before

Substitute for y in equation 1 and solve for x
14x + 5y = 12 => 14x + 5(1.42) = 12

=> 14x + 7.1 = 12

=> 14x = 12 - 7.1

=> 14x = 4.9

=> x = 4.9/14 = 0.35 as before

I personally prefer solving by elimination since solving by substitution involves heavy duty fractional expressions

Answer:

To find the x-intercept, substitute in

0 for y

and solve for x. To find the y-intercept, substitute in

0 for x

and solve for y.

x-intercept(s): (−5,0)

y-intercept(s): (0,10)

Step-by-step explanation:

90 30 + 50 +(2x+10)=90

Answer:

I believe the answer is B.

Step-by-step explanation:

Answer: 2x2+4x−30

Step-by-step explanation:

Answer: D) 2x² + 4x - 30. Step-by-step explanation: Follow the FOIL method: FOIL = First. Outside. Inside. Last ...and is the order you multiply to solve

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

3x+ 10= 100

-10           -10

3x=90

divide both sides by 3 nd you get 30

Answer: 3

Step-by-step explanation: 15% of the people surveyed had both a cat and a dog, so you would find 15% of 20. Find 15% of 20 by doing 20 x .15

Answer: 6t = 9

Step-by-step explanation:

What is visually explicable is that the 2 tape diagrams are equal.

One tape diagram equals 9, one is divided into 6 equal parts, each equals t.

6t's make up a diagram that is equal to a diagram equal to 9.

therefore 6t=9

Answer:

Ribeye (ea) = $18.54

Salmon (ea) = $9.78

Step-by-step explanation:

x is the price for each ribeye steak

y is the price for each grilled salmon

15x + 28y  = $551.97 (a)

24x + 14y = $581.91 (b) -----(x2)------> 48x + 28y = 1163.82 (c)

Subtract c with a

48x + 28y = 1163.82 (c)

15x + 28y  = $551.97 (a)

===================  -

33x           = 611.85

x = 18.54

Put the value of x into a

15 · 18.54 + 28y = 551.97

278.1 +28y = 551.97

28y = 273.87

y = 9.78

In conclusion, the price of 1 ribeye is $18.54, and the price of 1 salmon is $9.78.

Answer:

total area of the given figure is 126

step by step guide:

1) 14×6+1/2×14×6

2) 84+42

3) =126