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Bingel [31]
3 years ago
9

frank made $156.00 12 hours of work. at the same rate, how many hours would he have to work to make $221?

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Answer:

17 hours

Step-by-step explanation:

We first need to find the hourly rate:

156 / 12 = 13

Hourly Rate: $13

Now we can divide 221 by 13, this gives us 17.

That means that Frank will have to work 17 hours to make $221.

Hope this helps!

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K is the constant of variation. 

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A boat can travel 81 miles on 9
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The ratio of the number of Mary's necklaces to the number of Helen's necklaces is 25:9.Mary's has 100 necklaces. How many neckla
Kruka [31]

Answer: 36

Step-by-step explanation:

Given

The ratio of Mary's to Helen's necklaces is 25:9

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Suppose Helen has x necklaces

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7 0
3 years ago
Given the triangle below, what is m &lt; b, rounded to the nearest tenth?
ahrayia [7]

Option A:

m∠B = 42.1°

Solution:

Given data:

b = 18, c = 15 and m∠C = 34°

Using sine formula:

$\frac{b}{\sin B}=\frac{c}{\sin C}

Substitute the given values.

$\frac{18}{\sin B}=\frac{15}{\sin 34^\circ}

Do cross multiplication.

${18}  \times {\sin 34^\circ}={15}  \times{\sin B}

Divide by 15 on both sides.

$\frac{{18}  \times {\sin 34^\circ}}{15} =\frac{{15}  \times{\sin B}}{15}

$\frac{{6}  \times0.559}{5} =\sin B

$0.6708=\sin B

$\sin ^{-1}0.6708= B

42.1^\circ =B

Switch the sides.

m∠B = 42.1°

Option A is the correct answer.

3 0
3 years ago
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