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SOVA2 [1]
3 years ago
12

a shipping company makes a display to show how many cubes can fit into a large box. each cube has a side of 2 inches. the large

box has sides of 10 inches. use exponents to express the volume of each cube and the large boxvolume of cubes _____ volume of large box_____find how many cube will fit in the boxsuppose the shipping company were packing balls with a diameter of 2 inches instead of cubes. would the large box hold more balls or fewer balls than the cubes? explain your answersuppose the size of each cube is doubles and the size of the large box is doubled. how many of these new cubes will fit in the new large box? explain how you found your answer.
Mathematics
1 answer:
ehidna [41]3 years ago
4 0

1 The volume of the cube is 2 * 2 * 2 or 2 ^ 3 in ^ 3 while the volume of the large box is 10 * 10 * 10 or 10 ^ 3 in ^ 3.

2 The answer is 125. Just divide the large box to the volume of the cube 1000 / 8 = 125.

3 The box will hold the same number of balls as small boxes. With the balls, there is empty space.

4 The answer is still 125. Just find the volume of the box and of the cube. Divide the box volume by the cube volume.

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Leto [7]

Answer:

Step-by-step explanation:

2222.88-1690.36=nope

hope this helps!

7 0
3 years ago
1
Leona [35]

Given:

The inequality is:

y>5x+3

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

y=mx+b            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

y>5x+3

The relation equation is:

y=5x+3             ...(ii)

On comparing (i) and (ii), we get

m=5

b=3

It means the slope is 5 and the y-intercept is 3.

The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.

Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.

7 0
3 years ago
Consider the equation y=-2x+5. Describe everything you know about this graph compared to the parent linear function y=x.​
Mekhanik [1.2K]
Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2

function y = x
slope of 1
y intercept at 0
x intercept at 0
8 0
2 years ago
beginning at sea level a scuba diver dove 1 2/3 feet into the water , and then dove an additional 3 2/5 feet at what elevation i
skad [1K]

The given details are illustrations of addition and subtractions of fractions.  The scuba driver is at an elevation of -5\frac{1}{15} ft below the sea  level.

Given that:

n_1 = 1\frac 23 --- the first dive

n_2 = 3\frac 25 ---- the additional dive

From the question, we understand that the diver starts at the sea level.

This is represented with 0ft.

So, the diver's elevation (d) is calculated as follows:

d = 0 - n_1 - n_2 --- we use subtraction because the diver is below the sea level

So, we have:

d = 0 - 1\frac 23 - 3\frac 25

d = - 1\frac 23 - 3\frac 25

Convert fractions

d = - \frac 53 - \frac{17}5

Take LCM

d = \frac{-5 \times 5 - 17 \times 3}{15}

d = \frac{-76}{15}

Reduce fraction

d = -5\frac{1}{15}

The above value means that the diver's elevation is at -5\frac{1}{15} ft below the sea  level.

Read more about fractions at:

brainly.com/question/18134643

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=if%20a%20%3A%20b%20%3D%202%20%3A%203%20and%20b%20%3A%20c%20%3D%204%20%3A%205%20than%20find%20a
grigory [225]

Answer:

<em>a:b:c=8:12:15</em>

Step-by-step explanation:

<u>Combined Ratio</u>

We are given the ratios:

a:b=2:3

b:c=4:5

The combined ratio a:b:c will include all three variables in one single expression.

Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:

a:b=2:3=(2*4):(3*4)=8:12

b:c=4:5=(4*3):(5*3)=12:15

Now there is a common factor in both ratios, we can combine them removing the common factor:

a:b:c=8:12:15

8 0
2 years ago
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