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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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Karl is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an
natali 33 [55]

Answer:

The width of the garden bed must be less than or equal to 4 feet.

w\leq4

Explanation:

Given that;

She has 20 feet of boards to make the sides.

The perimeter of the garden bed must not be more than 20 feet

\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}

Given;

The length is 6 feet;

l=6

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}

Therefore, the width of the garden bed must be less than or equal to 4 feet.

w\leq4

8 0
1 year ago
The formula for finding the volume of a nose cone of an aircraft is V = (pi * d ^ 2 * h)/6 where d is the diameter of the base o
adell [148]

Answer:

h=\frac{6V}{\pi d^2}

Step-by-step explanation:

we have

V=\frac{\pi d^2h}{6}

Solve for h

That means ----> isolate the variable h

step 1

Multiply by 6 both sides

6V=\pi d^2h

step 2

Divide by \pi d^2 both sides

h=\frac{6V}{\pi d^2}

5 0
3 years ago
Which expression is equivalent to this polynomial? 6x2 + 10x − 56=
hammer [34]
2nd one maybe I’m not to sure srry
4 0
3 years ago
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How do you use a formula to calculate gradients
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.Answer:

Step-by-step explanation:

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4^3 = ?<br><br>A. 64<br>B. 7<br>C. 12<br>D. 1
Alexxandr [17]

By defining how exponents work, we conclude that 4^3 = 64, so the correct option is A.

<h3>How to find the cube of 4?</h3>

Let's remember how exponents work.

If we have a number a to the exponent n:

a^n

It means that we need to multiply the number a by itself n times.

Then, in this case:

4^3

Can be rewritten to.

4*4*4

Now we can solve that product:

4*4*4 = (4*4)*4 = 16*4 = 64

Then we conclude that the correct option is A

4^3 = 64

If you want to learn more about exponents:

brainly.com/question/847241

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8 0
1 year ago
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