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kondor19780726 [428]
2 years ago
5

I’ll give brainliest, thanks and 5 stars.

Mathematics
1 answer:
Minchanka [31]2 years ago
5 0

Answer:

First, you can break 6 into 3 * 2.

\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}

Then, cancel out the common factor of 3^3:

\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}

Next, cancel out the common factor of 2^4.

\frac{3*2^4*15^3}{2^4} =3*15^3

You can evaluate it as 10125 if you'd like.

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On Monday Harold picked up four donuts and two large coffees for the office staff. He paid 4.08. On Tuesday Melinda picked up tw
Mandarinka [93]
One way to look at this is to make 2 equations and treat it as a set of equations. We will make the cost of a donut equal to x, and the cost of a coffee equal to y.

Harold's order:
4x + 2y = 4.08

Melinda's order:
2x + 3y = 3.92

To combine these equations, we need to cancel out either x or y:
4x + 2y = 4.08
<span>2x + 3y = 3.92
</span>
4x + 2y = 4.08
<span>4x + 6y = 7.84
</span>
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
We can now combine these equations:
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
-4y = -3.76

y = 0.94

Therefore the cost of a large coffee is $0.94. We can plug this into either original equation to find the cost of a donut.
<span>4x + 2y = 4.08
</span>4x + 2(0.94) = 4.08
4x + 1.88 = 4.08
4x = 2.20
x = 0.55

The cost of a donut is $0.55, and the cost of a large coffee is $0.94.
8 0
3 years ago
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