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topjm [15]
3 years ago
14

Hannah is giving her sister a softball for her birthday, and wants to put it in a cubic gift box to preserve the surprise. She w

ill fill the empty space in the box with packing peanuts so that the softball doesn't roll around. If the volume of the softball is 29 cubic inches, which equation models the relationship between the length of each side of the box (s) and the amount of empty space inside?
A. E(s) = s^3
B. E(s) = s^3 - 29
C. E(s) = Cube root of s - 29
D. E(s) = Square Root of S
Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

B. E(s) = s^3 - 29.

Step-by-step explanation:

The amount of empty space E(s) inside the cubic box is equal to the volume of the box minus the volume of the softball.

If the side length of the cubic box is s, and the volume of the softball is 29in^3, then the amount of empty space E(s) inside is

E(s) = s^3-29,

where s^3 is the volume of the cubic box.

Since it matches the equation we got above, choice B stands correct.

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I need a little help here please
erma4kov [3.2K]

Answer:

Plot points at (0,1) and (-3,3) and draw a line going through both points.

Step-by-step explanation:

Let's start by graphing the y intercept.

y=mx+b

m is the slope. b is the y intercept. Since the equation is y=-2/3x+1, we can conclude the y intercept is 1. We graph a point at (0,1).

If you didn't know the y intercept is where the line intercepts the y-axis.

Now, from the point (0,1) we go up 2 and to the left 3 as it is a negative slope. We reach (-3,3). Plot a point there. Then draw a line going through both points. There's your line!

3 0
2 years ago
Julie wanted to earn money to attend a basketball camp. She started with a gift of money from her grandparents and then saved $2
adoni [48]
The equation would be y = 25x + 50

In order to find this equation, we need to know how much the gift from her grandparents was. To do so, we have to find out how much she's saved from dog walking. 

Since she saves $25 a month for 7 months, we can find the total amount as:

25*7 = 175

Then we can subtract that from the total she has saved to find the amount for the gift.

225 - 175 = 50

Finally, we put the amount per month in the equation with the gift as the y intercept to create the equation above. 
6 0
3 years ago
Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
Alexus [3.1K]

Answer:

A

Step-by-step explanation:

What divided by 42 equals 14? In other words, you have an unknown number (X), and then if you divide that X by 42 you get 14. Then what is that X? The equation to calculate what divided by 42 equals 14 is as follows: X/42 = 14 Where X is the answer. When we solve the equation by multiplying each side by 42, you get get:

X = 588

3 0
2 years ago
Write the point from of the equation for a line that passes through (6,—1) with a slope of 2
Paraphin [41]

Answer:

y = 2x-13

Step-by-step explanation:

The equation for a line is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

We know a point so we have a y and an x, so we can solve for b

-1 = 2(6) +b

-1 =12+b

Subtract 12 from each side

-1-12 = 12-12+b

-13 =b

Substitute this into y = 2x+b

y = 2x-13

7 0
3 years ago
Read 2 more answers
Given h (x) =2x+5, find h (-6)
yawa3891 [41]
H(-6) = 2(-6) + 5
h(-6) = -12 + 5
Solution: h(-6) = -7
8 0
3 years ago
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