Charlene owns a bookstore. She purchases used books from customers. • She pays $3.50 for each hardback book. • She pays $0.75 for each paperback book. • Charlene pays a customer a total of $199.75 for 149 used books. Which system of equations could be used to determine the number of hardback books (x) and the number of paperback books (y) Charlene purchases from the customer?

Answers

Answer 1

Answer: Number of hardback = 32

Number of paperback = 117

Step-by-step explanation:

Let the number of hardback books be represented by x.

Let the number of paperback books be represented by y.

Based on the information given, we can form an equation which will be:

x + y = 149 ......... i

3.50x + 0.75y = 199.75 ...... ii

Multiply equation i by 3.50

Multiply equation ii by 1

3.50x + 3.50y = 521.50 ...... iii

3.50x + 0.75y = 199.75 .....iv

Subtract equation iv from iii

2.75y = 321.75

y = 321.75 / 2.75

y = 117

Number of paperback = 117

Since x + y = 149

x = 149 - y

x = 149 - 117

x = 32

Number of hardback = 32


Related Questions

When multiplying fractions, you multiply straight across? Yes or No ?

Answers

Answer:

YES!

Step-by-step explanation:

You do multiply straight across for ex: 3/4 x 4/3= 12/12=1

For addition you don't but for multiplication you do!

On a standardized exam, the scores are normally distributed with a mean of 250 and
a standard deviation of 50. Find the 2-score of a person who scored 375 on the exam.

Answers

Answer:

the z-score is within 3

Step-by-step explanation:

first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be

250+50=300+50=350+50=40

so the z-score for the value of 375 is within 3      

Answer: 2

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

z-score formula

z=\frac{300-250}{25}

z=

25

300−250

Plug in values

z=\frac{50}{25}

z=

25

50

Subtract

z=2

z=2

Divide

\text{They scored 2 standard deviations above the mean.}

They scored 2 standard deviations above the mean.

Maddy takes the bus to school from her house. She rides the bus 12 kilometers east
then turns north and goes 5 more kilometers. If she'd go the shortest distance, how
many kilometers would she save?
(Hint: Draw it out)

Answers

Answer:

She would save 4 kilometers

Step-by-step explanation:

Use pythagorean theorem

12² + 5² = 169

[tex] \sqrt{169} = 13[/tex]

17-13 = 4

Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)

Answers

the answer would be 28y+60-12x .. correct me if i’m wrong.

Morgan correctly answered 90% of the questions on her history test. She answered 36 questions correctly How many questions were on the test?

(A)33
(B)40
(C)48
(D) 126​

Answers

Answer:

(B)40

Step-by-step explanation:

use the mark given and divide it by 90 percent take the answer given and multiply it by one hundred

Answer:

B) 40

Step-by-step explanation:

If 90% = 36

100% = ?

Cross Multiplying

100 x 36/ 90 = 40

which means there were 40 Questions on the test.

HELP PLS PLS IM BEGGING

Answers

Answer:

to every 3 buckets with a shovel there is 4 buckets without a shovel

A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 per chick. Find profit or loss percentage.

Answers

Answer: 6.25%

Step-by-step explanation:

50 chicks were purchased at Rs. 60. The total cost of the chicks is:

= 50 * 60

= Rs. 3,000

10 of the chicks died which means the farmer was left with 40 chicks.

These chicks are sold at Rs. 80. Total revenue from the sales are:

= 40 chicks * 80

= Rs. 3,200

The profit is:

= 3,200 - 3,000

= Rs. 200

The percentage is:

= Profit / Revenue

= 200 / 3,200

= 6.25%

Solve: 2x-4 = -(x-6)/2​

Answers

To solve it would be 14/5 but if it’s simplify it would be 5x=14

Answer:

x = 14/5

Step-by-step explanation:

2x-4= -x-6/2

multiply by 2 on both sides to get rid of the fraction

4x-8= -x-6

add both sides by 8 and both sides by x to get the constants on the right and the variables on the left

4x+x=6+8

combine like terms/simplify

5x=14

divide both sides by 5 to isolate the x

x=14/5

i hope this helps :)

please help like waaa everywhere it comes up that its impossible

Answers

Answer:

Step-by-step explanation:

If we subtract 7 from both sides, we get -2 on the right.  This is not possible, since absolute values are always 0 or greater.

WILL MARK BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

50% = half and 5 out of 10 is also half, if you count how many samples it has it adds up to 7 so the answer is 7

Find the area of each sector.
3)
1350
14 yd
251
A)
18051
12
yd?
B)
yd?
12
1471
C) 161 yd?
D)
yd?
2

Answers

I did this I think 12 years

On a scale drawing a building measures 4.5 cm tall is the scale of the drawing is 25 m per2 cm how tall is the actual building

Answers

Answer:

Actual height  of the building [tex]=112.5[/tex] meters

Step-by-step explanation:

Given

Scale of the drawing

1 cm = 25 meters

This means that any 1 cm line on the map represents a length of 25 meters in actual.

The height of the building on map [tex]= 4.5[/tex] cm

Actual height  of the building

[tex]= 4.5 * 25\\=112.5[/tex]meters

Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?

A. A(X) = 4x + 432

B. A(X) = 4x2 + +42x + 432

C. A(x) = 4x2 + +84x + 432

D. A(x) = 4x + 432​

Answers

Answer:

B. A(x) = 4x² + 42x + 432

Step-by-step explanation:

The area is the product of the width and the length:

A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432

Correct choice is B

If Mr. Donahue bought 10 cookies for $8.00. At this rate, how much
would it cost for 25 cookies?

Answers

31.25 is the answer lalalaalallala I need 20 characters to post this answer lalallalaalla

Answer:

The answer is $20.

Step-by-step explanation:

The way we find how much each cookie is is by dividing 8 by 10. We get 0.8. So now we know each cookie costs 80 cents. So, for 25 cookies, all we need to do is multiply 25 and 0.8. When multiplied, you get the answer $20.

The only time the word 'incorrectly' isn't spelled incorrectly is when it's spelled incorrectly. (⊙_ ⊙)

Answers

ahaha good one

Step-by-step explanation:

...........

Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place radius is 4cm

Answers

Area formula: pi * r^2
Given pi = 3.142 and r = 4
Plug in the values
Area = 3.142 * 4^2
Area = 3.142 * 16 = 50.272
Round to nearest 1 decimal place

Solution: 50.3 cm^2

hey what's the answer !!

[tex] \sqrt{98 - ( 17)} [/tex]

(ノ≧∇≦)ノ ​

Answers

Answer:

√98-17

=√ 81

=√ (9)^2

=9 is ans

Answer:

[tex] \sqrt{98 - ( 17)} [/tex]

[tex] {\sqrt{81}} [/tex]

[tex] {\sqrt{9²}} [/tex]=±9

is your answer

88 is what percent of 121??

Answers

Answer:

72.73% is the answer.

Hope this helps!

Sariya and Kate went to lunch and their total bill was $36.96. If they
left a 20% tip. How much would their total bill be?

Answers

Answer:

$ 44.352

Step-by-step explanation:

The bill of both of them was $36.96. And they gave a tip of 20%. So , the total amount paid will be ,

=> Amount = Bill + 20% of Bill

=> Amount = $36.96 + 20% of $ 36.96

=> Amount = $36.96 + 1/5 * $36.96

=> Amount = $36.96 + $7.392

=> Amount = $ 44.352

Hence the amount paid by them is $44.352.

Answer:

$44.352

Step-by-step explanation:

Their bill = $36.96

Tip = 20% of $36.96

= 20/100 × 36.96

= $7.392

Hence, their total bill = $36.96 + $7.392

= $44.352

The fourth term of an exponential sequence is 108 and the ratio is 3 . Calculate the value of the eighth term of the sequence, calculate the sum of the first five terms of the sequence.

Answers

Answer:

8th term = 8748 , Sum of 5 terms = 484

Step-by-step explanation:

Formula for nth term in an exponential sequence = a r^ (n-1)

Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108

So,  a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108

a 3^3 = 108 →  27 a = 108 → a = 108 / 27 → a = 4

8th term = a r^ (n-1) , at  n = 8.  So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748

Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]

= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484

Which function is the inverse of F(x) = b^x?
HELP FAST

Answers

Answer:I also think answer is 3

Step-by-step explanation:

Factor the expression. 10y+15+25y

Answers

Answer:

25y+15

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5(7y+3)

Step-by-step explanation:

1.) The price of gasoline went from $3.60 to $2.70 per gallon. What was the percentage decrease in the price of gasoline per gallon?

A.) 20% decrease

B.) 22.5% decrease

C.) 25% decrease

D.) 33.33% decrease

E.) None of these choices are correct.

Answers

Answer:

Choice C

Step-by-step explanation:

3.60 - (3.60/2.70) = 25%

Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?

Answers

Answer:

11502

Step-by-step explanation:

The owner of the stand pays $8 for each hat , $0.10 for each post card, and $0.50 for each magnet. Write and expression for the total cost of the items.

Answers

Answer:

Step-by-step explanation:

What is the radius, Diameter, Area, and Circumference of a 12 feet circle? (No links or fake answers, actually give me a right answer)

Answers

Answer:

12ft, 6ft, 36πft², 12πft

Step-by-step explanation:

Diameter: the distance across the circle - so 12ft

Radius: half the diameter = 0.5(12) = 6ft

Area: πr² = π(6)² = 36π ft² (substitute in 22/7, 3.14, or the exact value of π as fit)

Circumference: 2πr = πd = 12πft

The surface area of a cube is 54 square inches.

What is the volume of the cube?

Answers

The volume of the cube is 27in³

Rewrite each expression: 2^4 x 2^6 x 2^2

Answers

2^4 = 2 x 2 x 2 x 2
2^6 = 2 x 2 x 2 x 2 x 2 x 2
2^2 = 2 x 2

Answer:

16 x 64 x 4

Step-by-step explanation:

2 x 2 x 2 x 2 = 16

2 x 2 x 2 x 2 x 2 x 2 = 64

2 x 2 = 4

‼️I WILL MARK BRAINLIEST‼️

A set of data is shown in the table below. Determine the values of the slope and the y-intercept, and complete the table helow

Answers

y=-3x+3 slope=-3 -3 represents the slope whereas 3 represents the y intercept! I hope this helps

There are 8 roses in a vase of 14 flowers. The rest are daisies.

(a) What is the ratio of roses to daisies?

(b) What is the ratio of all flowers in the vase to daisies?

Answers

Answer:

a) 4:3

b) 7:3

Step-by-step explanation:

No. of roses= 8

No. of daisies = 6

Total no. of flowers = 14

a) Ratio of roses to daisies = No. of roses/No. of daisies

8/6

= 4/3

= 4:3

b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies

14/6

= 7/3

= 7:3

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