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Helga [31]
3 years ago
5

Well he buys two books at a bookstore. He spent $44.52 after 6% sales tax is applied, but the clerk does not provide him with th

e receipt. He knows that book A cost $17.50 before sales tax , But he is not sure how much book B costs.
A. Use an arithmetic solution to find the cost of book B.

B. Determine how much the cost of book B can be represented in an equation. Write an equation using the distributive property that represents this situation.

C. Use the equation from part b to find the cost of book B. Show your work.

D. Explain how finding the cost of book B using the arithmetic solution compares to finding the cost of book B using the algebraic solution.
Mathematics
1 answer:
mart [117]3 years ago
8 0

Let x represent the cost of book B

Book A: $17.50

Book B: x

Sales tax: (A + B) x 6% = .06(17.50 + x) = 1.05 + .06x

book A + book B + sales tax = total cost

(17.50) + (x) + (1.05 + .06x) = 44.52 <em>plugged in all of the values</em>

18.55 + 1.06x = 44.52 <em>added like terms</em>

1.06x = 25.97 <em>subtracted 18.55 from both sides</em>

x = 24.50 divided 1.06 from both sides

Answer: $24.50

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Yap,

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3 years ago
Solve the system of equations.<br><br><br> −5x+2y=9<br> y=7x<br> ​
RUDIKE [14]

Answer:

x=1  y=7

Step-by-step explanation:

−5x+2y=9

y=7x

Substitute the second equation into the first

-5x +2(7x) = 9

Distribute

-5x +14x = 9

Combine like terms

9x=9

Divide by 9

9x/9 =9/9

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Now find y

y = 7(1)

y = 7

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3 years ago
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The first angle of a triangle is 4 times the number of degrees in the second angle. The third angle of the triangle is 12 degree
xenn [34]

Answer:

1st angle: 128°

2nd angle: 32°

3rd angle: 20°

Step-by-step explanation:

You can start by setting up an equation. 180=x+4x+x-12. It sould all add up to 180 because angles of a triangle always add up to 180, and x represents the second triangle (you use the second angle as x because the other two angles elaborate off of this second angle).  Then you solve. Add 12 to 180 and get 192. Then you can add like terms and make it 192=6x (you add the x's together). Lastly divide 192 by 6 and get 32. So the measurement of angle 2 is 32°. Then you multiply 32 by 4 to get the 1st angle measure, being 128. Lastly subtract 12 from 32 and get 20 for angle three. To check you work add the three angle measures you got and see if they =180, if so then you are correct.

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3 years ago
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horsena [70]
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what is the rate of inflation if a savings account has a nominal interest rate of 3% and a real interest rate of 1%
IgorLugansk [536]

Answer:

the rate of inflation is 2%.

Step-by-step explanation:

given:

Nominal interest rate =3%

Real interest rate=1%

To Find:

Rate of inflation=?

Solution:

Nominal interest rate:

Nominal interest rate refers to the interest rate before taking inflation into account.

Inflation rate:

The inflation rate is the percent increase or decrease in prices during a specified period. It's usually over a month or a year.

Real interest rate:

A real interest rate is an interest rate that has been adjusted to remove the effects of inflation to reflect the real cost of funds to the borrower and the real yield to the lender or to an investor.

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This can be re written as

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Substituting the values,

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