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Ainat [17]
2 years ago
13

You have a summer job detailing cars. You charge $5 to wash a car, $25 to wax a car, and $2 to vacuum a car. What algebraic expr

ession models the total amount you can earn? If you wash 8 cars, wax 2 cars, and vacuum 6 cars, how much will you earn in all?
Mathematics
2 answers:
kondor19780726 [428]2 years ago
8 0
$102
Just muilt. & add the numbers up
Monica [59]2 years ago
7 0

Answer:

T = 5x+25y+2z algebraic expression models the total amount you can earn .

You earn $102 in total If you wash 8 cars, wax 2 cars, and vacuum 6 cars

Step-by-step explanation:

Let x be the no. of cars you washed

Cost of washing 1 car = $5

Cost of washing x cars = 5x

Let y be the no. of cars waxed

Cost of waxing 1 car = $25

Cost of waxing y cars = 25y

Let z be the no. of cars vacuumed

Cost of vacuuming 1 car = $2

Cost of vacuuming z cars = 2z

Let T be the total cost

So, T = 5x+25y+2z

So, T = 5x+25y+2z algebraic expression models the total amount you can earn .

Now we are supposed to find that you wash 8 cars, wax 2 cars, and vacuum 6 cars, how much will you earn in all?

x = 8

y= 2

z=6

Substitute the value in the expressions

T = 5(8)+25(2)+2(6)

T = 102

Hence You earn $102 in total If you wash 8 cars, wax 2 cars, and vacuum 6 cars

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Amiraneli [1.4K]

Answer: 5/12

Step-by-step explanation:

because the denominators are not the same you have to multiply to get a common base and then you can subtract from there to see how much he has left.

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2 years ago
Alayna parks her car in a lot that charges by the quarter hour. The table shows the parking fee, in dollars, with respect to the
riadik2000 [5.3K]

Answer:

time should be placed on the independent/y-axis

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Step-by-step explanation:

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7 0
2 years ago
3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa
Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 15000, p = 0.09

So

\mu = E(X) = np = 15000*0.09 = 1350

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1499 - 1350}{35.05}

Z = 4.25

Z = 4.25 has a pvalue of 1.

1 - 1 = 0

0% probability that at least 1,500 will agree to respond

6 0
2 years ago
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way
attashe74 [19]

Answer:

  • 6 hours and 24 min

Step-by-step explanation:

<u>The distance is:</u>

  • 60*8 = 480 miles

<u>Return trip will take:</u>

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5 0
2 years ago
Choose the function whose graph is given by:
katen-ka-za [31]

Answer:

D. y=\tan (x-\pi)+2

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, y=\tan (x)+2.

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period \frac{P}{|b|}.

Also, form the figure, we see that the period of the graphed function is \pi.

Since, y=\tan (x) have period \pi.

So, function in option B will have period \frac{\pi}{2}, which is not possible.

<em>Further, function in option D have period \pi.</em>

Thus, the equation of the graphed function is, y=\tan (x-\pi)+2.

7 0
2 years ago
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