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2 years ago

Manuel made $80 for 5 hours of work.

Mathematics

1 answer:

Virty [35]2 years ago

3 0

Answer:

13 hours

Step-by-step explanation:

Let's first start by finding how much he makes in 1 hours:

$\frac{\$80}{5} =\$16$

Now we can set up two ratios

$\frac{16}{1} = \frac{208}{x}$

Solve by cross multiplying (multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction)

16x=208

Divide both sides by 16 to isolate x

x=13

He would have to work 13 hours to make $208

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The entire output of a factory is produced on three machines. The three machines account for 20%, 30%, and 50% of the output, re

Sliva [168]

Answer: 0.20833

Step-by-step explanation:

This is a case of inverse probability.

We first determine the probability that an item is defective generally.

To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.

Mathematically,this becomes :

(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)

0.01 + 0.009 + 0.005 = 0.024.

Probability an item is defective in general = 0.024

Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.

Hence, given that the item is defective, the probability that it was produced by the third machine becomes:

= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)

= 0.005/0.024

= 0.20833.

4 0

3 years ago

How would to show a rate of change of 60 miles per hour on a graph

Fudgin [204]

I think the answer is 12

3 0

3 years ago

The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the

PolarNik [594]

Answer:

${\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}$

$\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}$

Step-by-step explanation:

$\star$ Let the width of a rectangular garden be 'w'

$\star$ Length of a rectangular garden = 6 + w

$\star$ Perimeter of a rectangular garden = 32 feet

 $\longrightarrow$ Finding the width of a rectangular garden :

$\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}$

$\mapsto{ \text{32 = 2(6 + w + w)}}$

$\text{Step \: 1 \: : Collect \: like \: terms}$

Like terms are those which have the same base

$\mapsto{ \text{32 = 2(6 + 2w) }}$

$\text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}$

$\mapsto{ \text{32 = 12 + 4w}}$

$\text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}$

$\mapsto{ \text{4w + 12 = 32}}$

$\text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \text{4w = 32 - 12}}$

$\text{Step \: 5 \: : Subtract \: 12 \: from \: 32}$

$\mapsto{ \sf{4w = 20}}$

$\text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}$

$\mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}$

$\text{Step \: 7 \: : Calculate}$

$\mapsto{ \text{w = 5}}$

Width of a rectangular garden = 5 feet

$\longrightarrow$ Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden

$\mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}$

$\longrightarrow$ Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :

$\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}$

$\mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}$

$\mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}$

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

3 years ago

I need help please help me.THANKS!!

Elan Coil [88]

Answer:

A. 42, 120, 162

Step-by-step explanation:

27 x 6 = 162

42 + 120 = 162

4 0

3 years ago

How many degrees are in the "Animation" sector of the graph? Round your answer to the nearest degree.

Monica [59]

The answer is B.

(27/123)*360
0.126*360
77.76
round to 78

4 0

3 years ago