MATHEMATICS HIGH SCHOOL

A bookstore manager marks down the price if older hardcover books, which originally sell for b dollars, by 46%a. Write the mark down as a decimal
b. Write two expressions for the sale price of the hardcover book
c. What is the price of a hardcover book for which the original retail price was $29.00
d. If you buy the book in part c how much do you save by paying the sale price?

Answers

Answer 1
Answer:

Answer:

a) 46% reduction = 1-(46/100)= 0.54

b) 46% reduction = 1-(46/100)= 0.54

price after reduction: b*0.54 =0.54b

or b-(b*46)/100 = b-(46b/100)= (100b-46b)/100 = 54b/100

c) 29*0.54=$15.66

gold 29-(54*29)/100 = $15.66

d) $29-$15.66=$13.34

Step-by-step explanation:

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Glen is looking into buying a piece of land. He estimates that the land measures 100 yd by 850 yd. The land is actually 140 yd by 940 yd. What is the percent error in the estimated area of the land? A. 35.4%
B. 17.7%
C. 64.6%
D. 32.3%

Answers

1) First find the areas:
100 * 850 = 85000
140 * 940 = 131600
2) Find the percent error in the area
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A circle has a radius of 11 inches and a central angle AOB that measures 45°. What is the area of sector AOB? Use 3.14 for pi and round your answer to the nearest tenth.a. 47.5 in2
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c. 8.6 in2
d. 4.3 in2

Answers

the answer is A from what my teacher taught me

Answer:

47.461632987542

Step-by-step explanation:

My teacher told me it was this answer, don't know how.

The value of y varies directly with x, and y=5 , when x=10. Find y when x=24

Answers

Answer:

y=12

Step-by-step explanation:

5 is half of 10 so there for y is always half of x in this problem

Complete the equation to show two equivalent expressions.

g2 – 4g – 21 = (g – )(g + )

Answers

Answer:

g^2-4g-21=(g-7)(g+3)

Step-by-step explanation:

To complete the left side of the equation, we need to bring it to the form

(g-a)(g+b)

expanding this expression we get:

g^2+bg-ag-ab

g^2+(b-a)g-ab

Thus we have

g^2-4g-21=g^2+(b-a)g-ab

from here we see that for both sides of the equation to be equal, it must be that

b-a=-4

-ab=-21.

Getting rid of the negative signs we get:

a-b=4

ab=21

At this point we can either guess the solution to this system (that's how you usually solve these types of problems) or solve for a and b systematically.

The solutions to this set are a=7 and b=3. (you have to guess on this—it's easier)

Therefore, we have

(g-a)(g+b)=(g-7)(g+3)

which completes our equation

\boxed{ g^2-4g-21=(g-7)(g+3)}

Answer: -7 and +3

did the assignment

Danielle can run one mile is 8.835 minutes. Alex can run one mile is 9.75 minutes. How much longer, in minutes, does it take for alex to run one mile that it takes Daniella?

Answers

Alex have to have 18.585 minutes to be running at the same amount of miles like daniella

3x(-8)=29 what is x?

Answers

The variable X is -29/24

Answer: X= -29/24

(picture below shows my work but I just put it as a fraction)
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