Plz help!!!! I will mark brainliest, 5.0, and thanks!!!! Thanks :P (20 points)

The total cost of repairs on a car was $325.The mechanic charged $45 for the repair and $15 an hour for labor.How many houers di

Angelina_Jolie [31]

Answer:

The mechanic worked 18.67 hours on the car.

Step-by-step explanation:

Given:

Total Cost on Repair = $325.

Mechanics charge = $45

Hourly Charge for Labor = $15

We need to find Number of hours Mechanic work on the car.

Let the number of hours worked by labor be 'x'

Now Total Cost on Repairs is equal to sum Mechanics charge and Hourly rate of labor multiplied by number of hours worked by labor.

Framing in equation form we get;

$45+15x=325$

Solving the equation we get;

Using Subtraction Property we will subtract both side by 45 we get;

$45+15x-45=325-45\\\\15x =280$

Now Using Division Property we will divide both side by 15 we get;

$\frac{15x}{15}=\frac{280}{15}\\\\x=18.67\ hrs$

Hence the mechanic worked 18.67 hours on the car.

6 0

2 years ago

The wholesale price for a chair is $124. A certain furniture store marks up the wholesale price by 16%. Find the price of the ch

vazorg [7]

Answer:$143.84Step-by-step explanation:Given the following question:Initial price of the chair was $124....Marked up 16% (which means the price has increased by 16%)Find the new price of the chair...In order to find the answer, we find 16% of a given number in till it equals 124 which was the initial price.16% of 143.84 is 124143.84 is already rounded to the nearest centWhich means the new price of the chair is "$143.84"

8 0

2 years ago

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Emma voluenteered at an animal sueltes for a total of 119 hours over 6 weeks. Estimare the Numbers of hours she volunteered rach

laila [671]

119/6
approximately 20

6 0

2 years ago

A ranch in "Smart Town" claimed that the cows they raise are smarter than the rest of the population of US cows. To prove that t

Ilia_Sergeevich [38]

Answer:

(a) The probability that the Brain of a randomly selected Smart Cow will weigh at least 500 grams is 0.4091.

(b) The probability that the average brain weight of a sample of 36 Smart Cows will be at least 480 grams is 0.6808.

Step-by-step explanation:

We are given that the average weight of their "Smart Cow" brain is 485 grams instead of the regular 458 grams.

Assume that the standard deviation of Smart Cow brain weights is the same as the entire population's standard deviation = 64 g.

Let X = weight of the brain of a randomly selected Smart Cow

So, X ~ Normal( $\mu=485, \sigma^{2} = 64^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean weight = 485 grams

$\sigma$ = standard deviation = 64 grams

(a) The probability that the Brain of a randomly selected Smart Cow will weigh at least 500 grams is given by = P(X $\geq$ 500 grams)

P(X $\geq$ 500 g) = P( $\frac{X-\mu}{\sigma}$ $\geq$ $\frac{500-485}{64}$ ) = P(Z $\geq$ 0.23) = 1 - P(Z < 0.23)

= 1 - 0.59095 = 0.4091

The above probability is calculated by looking at the value of x = 0.23 in the z table which has an area of 0.59095.

(b) Let $\bar X$ = sample mean weight of the brain of a randomly selected Smart Cow

The z-score probability distribution for the sample meanis given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean weight = 485 grams

$\sigma$ = standard deviation = 64 grams

n = sample of cows = 36

Now, the probability that the average brain weight of a sample of 36 Smart Cows will be at least 480 grams is given by = P( $\bar X$ $\geq$ 480 grams)

P( $\bar X$ $\geq$ 480 g) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{480-485}{\frac{64}{\sqrt{36} } }$ ) = P(Z $\geq$ -0.47) = P(Z < 0.47)

= 0.6808

The above probability is calculated by looking at the value of x = 0.47 in the z table which has an area of 0.6808.

7 0

2 years ago

Which of the following are techniques you have learned so far for solving a quadratic equation?

matrenka [14]

I THINK IS slove by factoring BUT I'M NOT SURE

5 0

2 years ago

Read 2 more answers