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NeX [460]
2 years ago
15

The cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15. The cost of 2 cookies, 3 doughnuts, and 4 boxes of d

oughnuts holes is $7.20. What is the cost of a box of doughnut holes?
Mathematics
1 answer:
Naddika [18.5K]2 years ago
5 0

Answer:

$1.25

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

Let the cost of a cookie be c, cost of a doughnut be d and that of a box of doughnut hole be h then if cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15, we have

4a + 6d + 3h = 8.15

and the cost of 2 cookies, 3 doughnuts, and 4 boxes of doughnuts holes is $7.20 then

2a + 3d + 4h = 7.20

Dividing the first by 2

2a + 3d + 1.5h = 4.075

subtracting from the second equation

2.5h = 3.125

h = 1.25

The cost of a box of doughnut holes is $1.25

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bx = - 3

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8 0
2 years ago
What is the solution to this equation?
gtnhenbr [62]

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7 0
3 years ago
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Simplify y^-3 <br><br> a.3/y<br> b.1/y^3<br> c.-3y<br> d.-1/y^3
nignag [31]

Answer:

b. \frac{1}{y^3}

Step-by-step explanation:

Here we are given  y^{-3} and are asked to simplify it. We are going to apply the law of exponents which says that

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Hence our C) Option is correct

3 0
3 years ago
The cost of five shirts and three pairs of pants is $229.25. If one pair of pants costs $37.25, what is the cost of one shirt? (
katen-ka-za [31]
3 x $37.25 = $111.75 
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6 0
3 years ago
PLEASE HELP
irina [24]

Answer:

12\sqrt{3} feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 1:\sqrt{3} :2

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12

Solving for x, we find that

x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36  \sqrt{3} }{3} = 12\sqrt{3}

So the length of the original pole would be 12\sqrt{3} feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

6 0
2 years ago
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