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sukhopar [10]
4 years ago
15

Explain how you would find the height of a rectangular prism if you know that the volume is 60 cm³ and that the area of the base

is 10 cm²
Mathematics
1 answer:
stellarik [79]4 years ago
7 0
We can find the height by looking at what we know, and what we want to know. 

We know that the volume of a rectangular prism can be found with the equation:
base width x base length x height = volume

We also know that the base's width x length = 10cm^2, so we can fill in what we know into the volume equation.
10cm^2 x height = 60cm^3

Solving this equation we find that the height if the prism is 6 cm.
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Write the equation in slope intercept form (2,5); m= -5
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Slope intercept
y=mx+b
m=sllope
given
m=-5

find b
y=-5x+b
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(2,5)
means x=2 and y=5 is true

5=-5(2)+b
5=-10+b
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5 0
3 years ago
Carla and Benicio work in a men's clothing store. They earn commission from each suit and each pair of shows they sell. For sell
qwelly [4]

Answer:

The salespeople earn for the sale of a suit = $13.

The salespeople earn for the sale of a pair of shoes = $8.

Step-by-step explanation:

Let x be the commission for each suit and y be commission for each pair of shoes.

We have been given that for selling 3 suits and one pair of shoes, Carla has earned $47 in commission. We can represent this information as:

3x+y=47...(1)

We are also told that for selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. We can represent this information as:

7x+2y=107...(2)

We will use substitution method to solve our system of linear equations. From equation (1) we will get,

y=47-3x

Substituting this value in equation (2) we will get,

7x+2(47-3x)=107

7x+94-6x=107

Upon combining like terms we will get,

7x-6x=107-94

x=13

Therefore, the salespeople earn $13 for the sale of a suit.

Let us substitute x=13 in equation (1).

3*13+y=47

39+y=47

y=47-39

y=8

Therefore, the salespeople earn $8 for the sale of a pair of shoes.

8 0
4 years ago
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