A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?

Answers

Answer 1

Answer:

Step-by-step explanation:

x+y = 9

y = 9-x

8x + 5y = 51

8x + 5(9-x) = 51

8x + 45 - 5x = 51

3x = 6

x = 2

y = 9-x = 7

Two hardcover books and seven paperback books.


Related Questions

The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?​

Answers

Answer:

12.5 inches

Step-by-step explanation:

To best find this answer, we should set up a proportion. Our first fraction is practically given to us in the problem, and would look like this:

[tex]\frac{2in}{24mi}[/tex]

Next, we need to set up our second fraction. An important thing to make sure of is that the 150 is on the same side as the 24 since they are both miles. Here is what the final equation should look like:

[tex]\frac{2in}{24mi} = \frac{x}{150mi}[/tex]

To solve, just cross multiply and divide! First, multiply 2 by 150, giving you 300. Next, just divide the 300 by the remaining 24, giving you a final answer of 12.5 inches. Here's what the final calculations look like:

2in X 150mi = 300

300 / 24mi = 12.5in

Answer:

12.5 inches is your answer

a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice the area of the rectangle. What is the height of the parallelogram

Answers

Answer:

12m

Step-by-step explanation:

work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.

The height of the parallelogram is 12 meters.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The area of a rectangle is given by the formula A = lw, where l is the length and w is the width.

The area of the rectangle is A1 = lw = (8 m)(4.5 m) = 36 m².

The area of a parallelogram is given by the formula A = bh, where b is the base and h is the height.

Since the area of the parallelogram is twice the area of the rectangle, we have:

2A1 = A2

2(36 m²) = 72 m²

So the area of the parallelogram is A2 = 72 m².

We are given that the length of the parallelogram is 6 m, so we can use the formula for the area to solve for the height:

A2 = bh

72 m² = (6 m)h

h = 12 m

Therefore,

The height of the parallelogram is 12 meters.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ3

What is 7a - 9> 2 (4a + 1)

Answers

Answer:

a<-11

Step-by-step explanation:

Timothy worked 9 hours and earned $7425. How much does he make per
nour at his job?

Answers

He makes 825 per hour

What is the algebraic expression for y-4

Answers

if y has value greater than 4 we will have negetive value if y has value less than 4 we will have positive value

In this rectangle the base is 1 cm more than the hight

Answers

Answer:

the equation is base = height + 1

Simplify
3x- 2z+- 2z- 4z- 3z

Answers

Answer: hi

The answer will be 3x−11z

Step-by-step explanation:

have a great day ^_^

what is this 12 x ? = 5

Answers

The answer is: x= 5/12 or x=0.416

0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

You work as a telemarketer and need to report to your boss the percentage of your weekly calls that result in sales
If 23 of your 177 calls last week resulted in sales, approximately what percentage should you report to your boss?
07%
O 8%
13%
15%
0 23%

Answers

Take 177:23=7.6 approximately 7%

A bag contains 5 apples and 3 oranges. If you select 2 pieces of fruit without looking, how many ways can you get 2 apples?

Answers

Answer:

you can feel a stem

Step-by-step explanation:

im sorry i dont know

At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.

Answers

56,105.61 is the answer rounded to the nearest hundred

Answer:

Your answer

56100 per person

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Is x-6 a factor of 3x^3-16x^2-72?

Answers

Answer:

No

Step-by-step explanation:

its not because x doesn't go into all 3 coffecients (numbers) and 6 doesn't go into 3.

Answer:

no because x dosent go into all 3 coefficents (numbers) and 6 dosent go into 3

Step-by-step explanation:

To complete her holiday wrapping, Bella needs identical
strips of ribbon measuring 3.5 feet each. She has 85 feet of
ribbon in total. About how many pieces of ribbon can she
cut from this long strip?

Answers

Answer:

24

Step-by-step explanation:

Answer:

The answer would be At least 20 box.

Step-by-step explanation:

i anwerd it in the lesson and got it right. Hope this helps. :)

A study is done by a community group in two neighboring colleges to determine which college graduates students with more math classes. College A samples 11 graduates. Their average is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 1% significance level.
A. Is this a test of two means or two proportions? Are the populations dependent or independent?
B. Are the populations' standard deviations known or not?
C. Which distribution is to be used?
D. What is random variable?
E. Hypothesis
F. Test is two tailed or one tail
G. Test value=_____.
H. Use P-value method) to reach to the conclusion.

Answers

Answer:

A) It is a test of two proportions and the populations are independent of each other

B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1

C) The distribution to be used is 1 distribution

D) The Random variable is the size of the community group

E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2

F) Test is one tailed

G) Test Value  > significance level

F) when;  P value > significance level ( 0.01 ) we do accept Null hypothesis

   when ; P value < significance level ( 0.01 ) we reject Null hypothesis

Step-by-step explanation:

College A :

sample size = 11

x ( mean ) value = 4

std = 1.5

College B :

sample size = 9

x ( mean value ) = 3.5

std = 1

A) It is a test of two proportions and the populations are independent of each other

B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1

C) The distribution to be used is 1 distribution

D) The Random variable is the size of the community group

E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2

F) Test is one tailed

G) Test Value  > significance level

F) when;  P value > significance level ( 0.01 ) we do accept Null hypothesis

   when ; P value < significance level ( 0.01 ) we reject Null hypothesis

After 4 tests,Alex average score was 65.After the 5th test his average score increased by 5 .How much did he score in his 5th test?​

Answers

Answer:

329 вот правильный ответ

Please please help with this question , you will get 10 points if you answer this question, don’t get bothered with 1 point written in question.

Answers

Answer:

11.7

Step-by-step explanation:

pls follow me and !ark as brainliest and follow me to get free points to all your answer's

Answer:

B (11.7)

Step-by-step explanation:

if you add the whole numbers (4, 4, 3) it would be 11 and then you add the decimal part which is 7 so it would be 11.7

colin did the work to see if 10 is a solution to the equatio

Answers

Um okay good to know

HELP!! Will mark brainliest!! Which of the following will have a remainder of 8 when divided by (x + 1)?

Answers

Answer:

D

Step by step explanation

Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]

75+11(1777-S)=16,671

Answers

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

11. Mr. Egan has 5 more students in his class than Ms. Cyrus.
Together they have 87. How many students does Ms. Cyrus have
in her class?

Answers

Answer:

Ms.Cyrus's class has 46 students

Step-by-step explanation:

If there is 877 total then I will take 5 away to get 82, then divide 82/2 and that equals 41, then add 41 to 5 and you get 46, the answer

Answer: 435 or 17.4

Step-by-step explanation:

What is the unit fraction for each part?

Answers

0/4 and 0/2 :) hope this helps and have a great day!

raíz cuadrada de 19384​

Answers

Answer:

WHat does that mean?/

Step-by-step explanation:

First to answer correctly gets brainliest

Answers

answer: 40x + 13900 < 28000

PLEASE HELP (25 point!!)

On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.

(graph shown below)

A. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
and I on a coordinate plane. Use complete sentences to describe the strategy.

B. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your
final answer, include all of your calculations.

C. Use the distance formula and the coordinates of points and I to prove that the Pythagorean theorem is an
alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of
your calculations

Answers

Answer :Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

different approaches of Pythagoras theorem​ - Brainly.in

brainly.in/question/10516214

13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

brainly.in/question/19749562

I need to know how to work fractions word problems like Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

Find the LCM first. The LCM is the lowest common multiple between the two denominators. The LCM in this problem is 12, so you multiply each fraction until the denominators equal 12

4 3/4 -> 4 9/12

1/3 -> 4/12

Now it's much easier to solve. 4 9/12 - 4/12 = 4 5/12 feet tall

Select the correct answer.
Consider these functions:
f(x)= 1/3x2 + 4
g(x)=9x – 12
What is the value of g(f(x))?

Answers

There are step by steps explaination in the picture

if anyone knows the answer​

Answers

Answer:

C. (x + 8) ( x - 8)

Step-by-step explanation:

x² - 64

= x² - 8²

= (x + 8) ( x - 8)

Hope it will help :)

The answer is (x+8)(x-8)

Katniss and Peeta find the sum of their ages which is 50 years. Peeta is five years older than Katniss. What are their ages?

Answers

Answer:

peeta is 30 and kat is 20 i think

Step-by-step explanation:

If Mary has a $140 balance in her bank account before she pays a utility bill. After the bill is paid she has a new balance of and overdraft balance of (-$35). How much was the utility bill?

Answers

Answer:

I think 105......

Step-by-step explanation:

I hope I'm right and good luck

Alex scored a 75% on his history test if he correctly answered an 18 question how many questions did Alex answer incorrectly ​

Answers

Answer:

24

Step-by-step explanation:

18 is 75% of 24.

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