1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvasek [131]
3 years ago
10

Maureen spent sh 207 to buy 7 exercise books and 4 pens while Sharon spent sh 165 to buy 5 exercise books and 5 pens of same typ

e.Find the cost of each item
Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

  book 25; pen 8

Step-by-step explanation:

If we let b and p represent the cost of a book and a pen, respectively, then the two purchases can be written as ...

  7b +4p = 207

  5b +5p = 165

Multiply the second equation by 4/5 and subtract the result from the first equation:

  (7b +4p) -4/5(5b +5p) = (207) -4/5(165)

  3b = 75 . . . . simplify

  b = 25 . . . . . divide by 3

Dividing the second equation by 5 gives ...

  b + p = 33

Solving for p, we have ...

  p = 33 -b = 33 -25 = 8

The cost of an exercise book is 25; the cost of a pen is 8.

You might be interested in
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from the mean for a normally distributed data.
  • About 68% of data lies within one standard deviation from the mean.
  • About 95% of data lies within two standard deviations of the mean.
  • About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

3 0
3 years ago
Plz help..............refresh the page before u answer
Anni [7]
To add/subtract fractions you need to have a common denominator...

(2/2)(4n/15)+(5/5)(n/6)

8n/30+5n/30

(8n+5n)/30

13n/30
8 0
3 years ago
Please help on number 3 part 1 and part 2 pretty please thanks
Goryan [66]
For the first part you need to find 85% of 16,000. its 13,600. you get this by multiplying .85 by 16,000.

for part two, i don't know how to show the work, but 816 is 96% of 850.

sorry about that, but i hope it helps
7 0
3 years ago
A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?
Licemer1 [7]

Answer:

B

Step-by-step explanation:

because 80 percent of 20 dollars is 16 dollars meaning they are selling the jacket for 16 dollars more than the original price. 16+20 is 36 dollars.

3 0
2 years ago
What single transformation maps ∆ABC onto ∆A'B'C'?
masya89 [10]
The answer is B) rotation 90 degrees counterclockwise about the origin
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is -3(b-8)-5=9(b+2)+1
    10·1 answer
  • Help me simplify this, please!!
    15·1 answer
  • Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour.
    8·1 answer
  • 0.316 in scientific notation
    9·2 answers
  • How much is 19.5% of 600? Round the answer to the nearest whole number.
    6·1 answer
  • Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.3 times as long as the doors for the small
    9·1 answer
  • How do I write the equation in slope intercept form of the lines graph? Please solve with step by step instructions so I can ans
    6·1 answer
  • A taco stand sells 296 tacos in four hours. At this rate, how many tacos would sell in 1/2 an hour?
    8·2 answers
  • Are the following two binomials
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7B30%2B2x%3Dx%2B3" id="TexFormula1" title="\sqrt{30+2x=x+3" alt="\sqrt{30+2x=x+3" alig
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!