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Sidana [21]
1 year ago
5

Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

Mathematics
1 answer:
goldenfox [79]1 year ago
3 0

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

\frac{12\text{ in}}{\$0.48}

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}

Then, cross-multiply and solve for x:

\$0.48x=(\$0.28)(12)

\$0.48x=\$3.36

x=\frac{\$3.36}{\$0.48}

x=7

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A student has received the following test scores: 71%, 89%, 72%,
lidiya [134]

Answer: 81%

Step-by-step explanation:

From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,

84% and 83% in 5 tests and the student wants to maintain an average of 80%.

The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:

First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:

= 80 × 6

= 480

We then add all the 5 test scores. This will be:

= 71 + 89 + 72 + 84 + 83

= 399

We then subtract the values gotten. This will be:

= 480 - 399

= 81

This means the student must get at least 81%

5 0
3 years ago
Which equation has x=4 as the solution
erma4kov [3.2K]
(1) step by step below

5 0
3 years ago
Which equation has a solution of x = -5?
lyudmila [28]
The first equation has a solution of X=-5
3 0
3 years ago
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A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0
3 years ago
What does a=? b=? Angle B=?
Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

5 0
2 years ago
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