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vovikov84 [41]
3 years ago
11

Oprah makes $156.00 per day plus an additional 8% commission on her sales. Which equation could be used to find how much Oprah m

ade in one day, r, if she sold x dollars worth?
A.
156x - $8.00 = r

B.
0.08x - $156.00 = r

C.
0.08x + $156.00 = r

D.
8x + $156.00 = r
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

The answer is <u>C.</u>  0.08x + $156.00 = r.

Step-by-step explanation:

Given:

Oprah makes $156.00 per day plus an additional 8% commission on her sales.

She sold x dollars worth.

Now, to find equation how much Oprah made in one day, r.

As. given in question:

She makes per day = $156.00.

Worth of sold = x.

Commision on her sales = 8%.

And one day = r.

Now, to get the equation Oprah made in one day:

r=\$156.00+8\%\ of\ x.

r=\$156.00+\frac{8}{100} \times x

r=\$156.00+0.08\times x

r=\$156.00+0.08x

r=0.08x+\$156.00

0.08x+\$156.00=r

<em>Thus, the equation is</em>  0.08x+\$156.00=r.

Therefore, the answer is C.  0.08x + $156.00 = r.

You might be interested in
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes
Komok [63]

Answer:

a. The probability of completing the exam in one hour or less is 0.0783

b. The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. The number of students will be unable to complete the exam in the allotted time is 8

Step-by-step explanation:

a. According to the given we have the following:

The time for completing the final exam in a particular college is distributed normally with mean (μ) is 77 minutes and standard deviation (σ) is 12 minutes

Hence, For X = 60, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=60−77 /12

Z=−1.4167

Using the standard normal table, the probability P(Z≤−1.4167) is approximately 0.0783.

P(Z≤−1.4167)=0.0783

Therefore, The probability of completing the exam in one hour or less is 0.0783.

b. In this case For X = 75, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=75−77 /12

Z=−0.1667

Using the standard normal table, the probability P(Z≤−0.1667) is approximately 0.4338.

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is obtained as follows:

P(60<X<75)=P(Z≤−0.1667)−P(Z≤−1.4167)

=0.4338−0.0783

=0.3555

​

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. In order to compute  how many students you expect will be unable to complete the exam in the allotted time we have to first compute the Z−score of the critical value (X=90) as follows:

Z=  X−μ /σ

Z=90−77 /12

Z​=1.0833

UsING the standard normal table, the probability P(Z≤1.0833) is approximately 0.8599.

Therefore P(Z>1.0833)=1−P(Z≤1.0833)

=1−0.8599

=0.1401

​

Therefore, The number of students will be unable to complete the exam in the allotted time is= 60×0.1401=8.406

The number of students will be unable to complete the exam in the allotted time is 8

6 0
3 years ago
Let the correct answer
grigory [225]

Answer:

c i think sorry if i get it wrong

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The length of the pencil is 8x + 2 and length of pen is 4x + 1. Find the difference between their lengths.
Ahat [919]
4x+1

explanation in the photo

4 0
3 years ago
Read 2 more answers
I NEED HELP ASAP!!!!!
MAXImum [283]

Answer:

Part A)

  • The observation from the the table indicates that if the value of variable x increases, the value of variable y also increases.

Part B)

  • y=6x+10 is the function that bets fits the data.

Part C)

  • The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be 6x.
  • The y-intercept defines that for the total number of units produced y by x number of workers, 10 units would be added.

Step-by-step explanation:

Part A)

We know that

  • Negative correlation means when one variable decreases, then the other variable also decreases.
  • Positive correlation means when one variable increases, then the other variable also increases.

Given the table data

Number of employees (x)

      (x)     0       25       50      75       100     125     150      175      200

Number of Products (y)

     (y)      10     160     310     460     610     760     910     1060     1210

The observation from the the table indicates that if the value of variable x increases, the value of variable y also increases.

Thus, the two variables i.e. Number of employees (x) and Number of Products (y)  will have positive correlation.

Please check the attached graph in figure a to determine that the positive correlation as the value of variable x increases when the value of variable y also increases.

Part B)

Given the table data

Number of employees (x)

      (x)     0       25       50      75       100     125     150      175      200

Number of Products (y)

     (y)      10     160     310     460     610     760     910     1060     1210

As we know that the point slope form

y=mx+b

where m is the slope and b is the y-intercept.

Lets take the point (0, 10) and point (200, 1210)

As

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}

m=\frac{1210-10}{200-0}

m=\frac{1200}{200}

m=6

As

y-y_{1} = m(x-x_{1})

m = \frac{y-y_{1}}{x-x_{1}}

Taking any point, let say (25, 160), and putting in

m = \frac{y-y_{1}}{x-x_{1}}

6\:=\:\frac{y-160}{x-25}

y=6x+10

Hence, y=6x+10 is the function that bets fits the data.

Part C)

As we have determined the equation

y=6x+10

Here,

  • Slope = m = 6
  • y-intercept = 10

The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be 6x.

The y-intercept defines that for the total number of units produced y by x number of workers, 10 units would be added.

Keywords: slope, function, linear function, correlation

Learn more about correlation from brainly.com/question/14688591

#learnwithBrainly

7 0
3 years ago
Y
Ilia_Sergeevich [38]

Answer:

uhm i dont know..what math is this??

Step-by-step explanation:

8 0
3 years ago
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