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olya-2409 [2.1K]
3 years ago
13

21. Brian wants to purchase a piece of fabric

Mathematics
1 answer:
ella [17]3 years ago
8 0

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric  that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

  • Choice A is 4\frac{3}{4} feet long

Let us convert feet to inches

4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet

Now convert to inches

We know that,

1 feet = 12 inches

\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice  B is 4\frac{1}{2} feet long

4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet

Now convert to inches

\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice C is 4\frac{1}{3} feet  long

4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet

Now convert to inches

\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

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An angle measures 42° more than the measure of its complementary angle. What is the measure of each angle?
Vanyuwa [196]

Answer:

24° and 66°

Step-by-step explanation:

Angle 1 = x

Angle 2 = x + 42°

x + x + 42° = 90°

Subtract 42° from both sides and add

2x = 48°

Divide by 2

x = 24°

24° and 66°

Hope this was useful to you!

3 0
3 years ago
Read 2 more answers
One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
3 years ago
Stella bought a dinette set on sale for $725. The original price was $1,299. To the nearest tenth of a percent, what was the rat
kifflom [539]

Answer:

40%

Step-by-step explanation:

1299-725= 574

574/1299 x 100 = 44.19%

8 0
3 years ago
The food bank has 1774.4 oz of chicken.If 12.6 oz is 2 servings,how many servings of chicken does this provide?
diamong [38]

Answer:

281 servings

Step-by-step explanation:

From the table attached,

We will apply the unitary method to solve this problem.

∵ 12.6 oz of chicken represents number of servings = 2

∴ 1 oz of chicken will represents number of servings = \frac{2}{12.6}

∴ 1774.4 oz of chicken will make the total servings = \frac{2}{12.6}\times 1774.4

                                                                                    = 281.65

                                                                                    ≈ 281 servings

Therefore, total number of servings provided = 281

6 0
3 years ago
Create an equation to solve for x then solve for x.
Ratling [72]

Answer:

Step-by-step explanation:

In parallelogram adjacent angles are supplementary

∠U +∠V = 180

9x + 15 + 6x + 15 = 180

Combine like terms

9x + 6x + 15 + 15 = 180

          15x + 30 = 180

Subtract 30 from both sides

          15x = 180 - 30

         15x = 150

Divide both sides by 15

            x = 150/15

x = 10

∠U = 9x + 15

      = 9*10 + 15

      = 90 + 15

∠U = 105

∠V = 6x + 15

     = 6*10 + 15

     = 60 + 15

∠V = 75

5 0
3 years ago
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