Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The expression
0.7(1.25 p) represents the amount Amadou paid for dinner at a restaurant after he applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression?

25% tip and then a discount of
30%

0.25% tip and then a discount of
0.7%
A discount of
70% and then
125% tip
A discount of
30% and then
0.25% tip

The expression $0.7(1.25 p)$ represents the amount Amadou paid for dinner at a restaurant after he applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression? $\newline$ $25 \%$ tip and then a discount of $30 \%$ $\newline$ $0.25 \%$ tip and then a discount of $0.7 \%$ $\newline$ A discount of $70 \%$ and then $125 \%$ tip $\newline$ A discount of $30 \%$ and then $0.25 \%$ tip

View step-by-step help

View step-by-step help

Interpret regression lines

Full solution

Q. The expression

0.7(1.25 p)

represents the amount Amadou paid for dinner at a restaurant after he applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression?

\newline

25 \%

tip and then a discount of

30 \%

\newline

0.25 \%

tip and then a discount of

0.7 \%

\newline

A discount of

70 \%

and then

125 \%

tip

\newline

A discount of

30 \%

and then

0.25 \%

tip

Analyze Expression: Let's analyze the expression $0.7(1.25 p)$ to understand what it represents in terms of a discount and a tip applied to the original price $p$ .
Distribute $0.7$ : First, we can distribute the $0.7$ inside the parentheses to get $0.7 \times 1.25 \times p$ .
Calculate $0.875$ : The multiplication $0.7 \times 1.25$ gives us $0.875$ . So the expression becomes $0.875 \times p$ .
Find Discount Percentage: The number $0.875$ is less than $1$ , which indicates that a discount was applied to the original price $p$ before adding the tip. To find the percentage of the discount, we subtract $0.875$ from $1$ and then multiply by $100$ . $\newline$ $1 - 0.875 = 0.125$ $\newline$ $0.125 \times 100 = 12.5\%$ $\newline$ This means a discount of $12.5\%$ was applied to the original price.
Consider Tip: Now, let's consider the tip. The expression $1.25 \times p$ suggests that a tip was added to the original price. To find the percentage of the tip, we subtract $1$ from $1.25$ and then multiply by $100$ . $\newline$ $1.25 - 1 = 0.25$ $\newline$ $0.25 \times 100 = 25\%$ $\newline$ This means a $25\%$ tip was added after the discount.
Compare Options: Now we need to compare our findings with the given options to see which one matches our calculations.
Match Calculations: The correct option that matches our calculations is a discount of $12.5\%$ (which is not explicitly given in the options but is the complement of $87.5\%$ to $100\%$ ) and then a $25\%$ tip. None of the provided options exactly match our calculations, but the closest one in terms of the process (discount followed by a tip) is the first option: ＂ $25\%$ tip and then a discount of $30\%$ .＂ However, the percentages do not match our findings.

More problems from Interpret regression lines

Question

Michael surveyed

2

politicians from his state about their views on certain issues.

\newline

Is this sample of citizens of the state likely to be biased?

\newline

\newline

\newline

Posted 1 month ago

Question

Read the following description of an experiment.

\newline

A massage therapist has received complaints that the fragrance of her massage oil is unpleasant. She is testing whether a new oil will improve each clients' experience.

\newline

The massage therapist randomly sorts her clients into two groups. She massages

5

clients from the first group with the new oil and

5

from the other group with her usual oil. She asks all

10

clients to rate their massages.

\newline

Is this experiment statistically well designed?

\newline

\newline

\newline

Posted 1 month ago

Question

A random sample of

35

four-door passenger vehicles had a mean gas mileage, in miles per gallon

(\mathrm{mpg})

25.9 \mathrm{mpg}

. The estimate had a margin of error of

2.6 \mathrm{mpg}

98 \%

confidence level. Of the following, which is the most plausible value for the true mean gas mileage of all four-door passenger vehicles?

\newline

1

\newline

24 \mathrm{mpg}

\newline

29 \mathrm{mpg}

\newline

32 \mathrm{mpg}

\newline

35 \mathrm{mpg}

Posted 2 months ago

Question

1

578

randomly selected American adults,

44.8 \%

of the respondents said that airlines should allow in-flight calls on airplanes. The poll reported a margin of error of

2.5 \%

95 \%

confidence level. Which of the following is most likely to be equal to the percentage of all American adults who would say that airlines should allow in-flight calls?

\newline

1

\newline

40 \%

\newline

43 \%

\newline

48 \%

\newline

95 \%

Posted 4 months ago

Question

Malik walked up and back down an empty

18 \mathrm{~m}

long escalator at a constant rate. Since the escalator was going up at the time, it took him only

22.5 \mathrm{~s}

. Going down took Malik

90

s. Assume the escalator speed is constant.

\newline

What was Malik's walking speed?

\newline

\frac{\mathrm{m}}{\mathrm{s}}

Posted 2 months ago

Question

Two baseball players are warming up by throwing balls to the catcher. The two players are located

10

yards apart, and the angle from each player to the catcher is

55^{\circ}

71^{\circ}

, respectively. What is the distance from the farthest baseball player to the catcher?

\newline

10.125

\newline

11.687

\newline

14.501

\newline

14.790

Posted 2 months ago

Question

Select the outlier in the data set.

\newline

74,84,86,87,89,91,92,98,126

Posted 2 months ago

Question

p

\begin{array}{l}\frac{p}{8}=\frac{7}{9} \\p=\square\end{array}

Posted 2 months ago

Question

Jelani needs to hire at least

12

artists for an upcoming event. He needs to hire visual artists, who will be paid

\$300

for the event, and performers, who will be paid

\$480

for the event. His budget for paying the artists is no more than

\$6,000

. He must hire at least

4

visual artists and at least

3

performers. Which of the following does not satisfy all of the conditions described?

\newline

1

\newline

4

visual artists and

10

\newline

8

visual artists and

8

\newline

\$300

0

visual artists and

3

\newline

\$300

2

visual artists and

4

Posted 1 month ago

Question

\newline

k^2 + 9k + 18

\newline

\newline

Posted 2 months ago