Question

Chloe got a 10% raise. She now earns $22 an hour. How much did she earn per hour before the raise? Answer:___ A bicycle regularly priced at $396 is on sale for 25% off. What is the sale price? Answer:___

Ratios, rates, proportions
ANSWERED
asked 2020-11-27
Chloe got a 10% raise. She now earns $22 an hour. How much did she earn per hour before the raise?
Answer:___
A bicycle regularly priced at $396 is on sale for 25% off. What is the sale price?
Answer:___

Answers (1)

2020-11-28

Let x be Chloe's rate before the raise. The rate now is the rate before plus 10% of the rate before the raise: \(x+0\).

\(10x=22\)

1) \(10x=22\)

\(\displaystyle{x}=\frac{{22}}{{1.10}}\)

\(x=20\)
Hence, Chloe earns $20 an hour before the raise.
Let x be sale price of the bicycle.
The sale price is the regular price minus 25% of the regular price:

\(x=396-0.25(396)\)

\(x=396-99\)

\(x=297\)
Hence, the sale price of the bicycle is $297.

0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2021-06-28
A cd that has a price of $15.50 is on sale at a 25% discount.what is sale price with 6.5 tax?
asked 2021-05-14
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
\(\begin{array}{|c|c|}\hline 11.8 & 7.7 & 6.5 & 6 .8& 9.7 & 6.8 & 7.3 \\ \hline 7.9 & 9.7 & 8.7 & 8.1 & 8.5 & 6.3 & 7.0 \\ \hline 7.3 & 7.4 & 5.3 & 9.0 & 8.1 & 11.3 & 6.3 \\ \hline 7.2 & 7.7 & 7.8 & 11.6 & 10.7 & 7.0 \\ \hline \end{array}\)
a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. \([Hint.\ ?x_{j}=219.5.]\) (Round your answer to three decimal places.)
MPa
State which estimator you used.
\(x\)
\(p?\)
\(\frac{s}{x}\)
\(s\)
\(\tilde{\chi}\)
b) Calculate a point estimate of the strength value that separates the weakest \(50\%\) of all such beams from the strongest \(50\%\).
MPa
State which estimator you used.
\(s\)
\(x\)
\(p?\)
\(\tilde{\chi}\)
\(\frac{s}{x}\)
c) Calculate a point estimate of the population standard deviation ?. \([Hint:\ ?x_{i}2 = 1859.53.]\) (Round your answer to three decimal places.)
MPa
Interpret this point estimate.
This estimate describes the linearity of the data.
This estimate describes the bias of the data.
This estimate describes the spread of the data.
This estimate describes the center of the data.
Which estimator did you use?
\(\tilde{\chi}\)
\(x\)
\(s\)
\(\frac{s}{x}\)
\(p?\)
d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)
e) Calculate a point estimate of the population coefficient of variation \(\frac{?}{?}\). (Round your answer to four decimal places.)
State which estimator you used.
\(p?\)
\(\tilde{\chi}\)
\(s\)
\(\frac{s}{x}\)
\(x\)
asked 2021-05-02
You decide to take guitar lessons. Each half-hour lesson costs $20. How much will you budget to pay for a half-hour lesson each week for 26 weeks?
asked 2021-05-19
Sharon wants to buy a shirt that costs $45. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
...