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mel-nik [20]
2 years ago
9

Hector works 12 hours per week at a part time job. His original pay rate was $8 per hour, but he recently received a raise of x

dollars per hour. His new total weekly pay, y, is represented by the equation y = 12(8 + x). If Hector earned $126 last week, what was the amount of Hector's raise per hour?
Mathematics
2 answers:
Olegator [25]2 years ago
7 0

Answer:

x = \frac{8}{3}

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

128=12(8+x)

128=(12)(8)+(12)(x)(Distribute)

128=96+12x

128=12x+96

Step 2: Flip the equation.

12x+96=128

Step 3: Subtract 96 from both sides.

12x+96−96=128−96

12x=32

Step 4: Divide both sides by 12.

\frac{12x}{12} =\frac{32}{12}

x=8/3

qwelly [4]2 years ago
3 0

Answer:

poop

Step-by-step explanation:

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Select all the expressions equivalent to: (4^5)⋅4^3 Group of answer choice 2^14 4^12 2^16 16^8 4^8 16^4
kumpel [21]

Answer:

Choices given as 2^{16}, 4^8 and 16^4 are correct.

Step-by-step explanation:

Given expression is,

(4^5)(4^3)

By applying law of exponents in the given expression,

(4^5)(4^3)=4^{5+3}

            =4^8

(4^5)(4^3)=(2^2)^5(2^2)^3

            =(2^{2\times 5})(2^{2\times 3})

            =2^{10}\times 2^6  

            =2^{16}

            =(2^4)^4

            =(16)^4

Therefore, choices given as 2^{16}, 4^8 and 16^4 are correct.

4 0
2 years ago
Explain how to find the sum of 3/10 + 4/100
Neporo4naja [7]

Answer: 17/50

Step-by-step explanation:

First, to add fractions, we must find a common denominator, in this case, 100.

Then, we must make the fractions being added all have the common denominator.

So, we must multiply 3/10 * 10/10, which equals 30/100

30/100 + 4/100

Then, just add across the numerator to get 34/100, which can be simplified to 17/50

6 0
2 years ago
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Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it
olchik [2.2K]
49.5/ 5.5
= 9 minutes to run one mile
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2 years ago
What is the definition of perimeter
inna [77]


it means the distance around a two dimensional shape.

To find the perimeter, add all the side lengths

hope it helps!!!!!!!

7 0
3 years ago
A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A gro
Helga [31]

Answer:

It can be concluded that the medicated lotion has an effect on treating skin irritations.

Step-by-step explanation:

In this case we need to determine whether the medicated lotion was effective in treating the skin irritation or not.

The hypothesis can be defined as follows:  

<em>H₀</em>: There is no difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.  

<em>Hₐ</em>: There is a significant difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.  

The information provided is:

n₁ = 40

n₂ = 40

X₁ = 36

X₂ = 16

Compute the sample proportions and total proportions as follows:

 \hat p_{1}=\frac{36}{40}=0.90\\\\\hat p_{2}=\frac{16}{40}=0.40\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{36+16}{40+40}=0.65

Compute the test statistic value as follows:

 z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}=\frac{0.90-0.40}{\sqrt{0.65(1-0.65)[\frac{1}{40}+\frac{1}{40}]}}=4.69

The test statistic value is 4.69.

The decision rule is:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

Compute the <em>p</em>-value as follows:

 p-value=2\times P(Z

The <em>p</em>-value of the test is very small.

The null hypothesis will be rejected at any significance level.

Thus, there is a significant difference between the two proportions.

So, it can be concluded that the medicated lotion has an effect on treating skin irritations.

6 0
3 years ago
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