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Komok [63]
2 years ago
6

Plz help me solve and show your work.

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
7 0

Hi there!

\large\boxed{h = \frac{15x}{y}}

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

h = \frac{15x}{y}

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dem82 [27]

We are given equations y =3.5x and y=25x +40.50.

Where x represent time in hours and y represents cost in dollars.

We need to determine that which equation is not the equation of a proportional relationship?

In first equation we have slope 3.5 and y-intercept 0.

In second equation, we have slope 25 and y-intercept 40.50.

<em>In order to have a a proportional relationship, there should be y-intercept =0.</em>

<h3>Therefore, y= 25x + 40.50 is not the equation of a proportional relationship.</h3>
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3 years ago
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FromTheMoon [43]
The answer would be 36.4
3 0
3 years ago
Adam baked a cake. John ate of a cake. Susan ate of what was left. How much of the original 6 1 5 1 cake was left?
ikadub [295]

Answer:

4/6 of the cake is left

Steps down below

Step-by-step explanation:

How i got the answer:

As we know that the question is asking how much, so and we also know that Susan ate 1/5 of 5/6 so the and for the equation will be 1/6. So 5/6 - 1/6 will give you the correct answer for this question.

Steps:

1: Subtract the numbers so 5/6 subtract 1/6 =4/6

Answer: 4/6

<em><u>Hope this helps.</u></em>

5 0
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Consider this system of equations. Which equation represents the first equation written in slope-intercept form?
vlada-n [284]

Answer:

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-5x                  -5x (Subtract both sides by 5x to leave y by itself)

-2y = -5x + 10

-2y/-2 = -5/-2 + 10/-2

(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.

y = 5/2 - 5

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