BRAINLYEST AND 20 POINTS

For the given situation: Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the number x of hardcover books and the number y of paperback books he can buy? Select all the pairs that represent combinations of books that Derek can buy. Group of answer choices (2, 5) (0,10) (−2, 15) (3, 5/2) (1, 2/5)

Answers

Answer 1

Answer:

(0,10)

Step-by-step explanation:

All of  the other answers dont make sense or are false so it makes (0,10) the only correct answer.

Answer 2

The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Hardcover books cost $5 each and paperbacks cost $2 each.

The number of hardcover books is x while paperbacks are y

Thus,

Total cost = 5x + 2y

5x + 2y ≤ 20

The x and y is the whole number so they will never be negative or in fractions.

Therefore, The pair which satisfies the above expression is (2,5) and (0,10).

Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".

For more about the equation,

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Related Questions

Find the range for the measure of the third side of a triangle given the measures of the other two sides are 4 and 8

Answers

Answer:

4 < x < 12

Step-by-step explanation:

Given 2 sides, then let x be the third side and

difference of 2 sides < x < sum of 2 sides , that is

8 - 4 < x < 8 + 4

4 < x < 12

Two buses are traveling to a state park. One bus leaves the terminal at 4:00 pm, and travels at 40 miles per hour. The second bus
leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
At what time does the second bus catch up with the first bus?

Answers

Answer:

Step-by-step explanation:

When the second bus catches up to the first bus, this means that the distance they have travelled is equal.

So for bus 1, you know it travels at 40 miles per hour.

4pm = 0 miles

5pm = 40 miles

6 pm = 80 miles

7pm = 120 miles

For bus 2, you know it travels at 60 miles per hour

5pm = 0 miles

6pm = 60 miles

7pm = 120 miles.

So you can see that at 7pm, they will both have travelled 120 miles.

Can you please help me solve this and show the solution 4y⁴+6y?​

Answers

Answer:

4y^4 + 6y = 256y + 6 = 262y

Step-by-step explanation:

Remove the variables for a second and think of the problem as a normal expression; 4^4 + 6

Simplify the first term; 4^4 = 256

Now, add 6; 256 + 6 = 262

Add back in the variable; 262y

Answer:

2y(2y+3)

Step-by-step explanation:

2y(2y) +6y factor 2y out of 4y^2

2y(2y)+2y(3) factor 2y out of 6y

2y(2y + 3) factor 2y out of 2y(2y)+2y(3)

12a^3b^2c
A: The degree is 6
B: The degree is 3
C: The degree is 4
D: The degree is 5

Answers

Answer:

b. the degree is 3

Step-by-step explanation:

degree is the highest exponent

5+4(8n-8)=-1+6 for n​

Answers

Answer:

n=1

Step-by-step explanation:

5+4(8n-8)=-1+6

5+32n-32=5

5+32n-32=5

-27+32n=5

32n=32

n=1

Answer:

n = 1

Step-by-step explanation:

5 + 4(8n - 8) = -1 + 6

First you have to distribute the 4 leaving the equation to look like this...

5 + 32n - 32 = -1 + 6

Now solve the constants (normal numbers without a variable)

-27 +32n = 5

+27            +27  You have to add 27 to BOTH sides

32n = 32

n = 1

Hope this helps and have a great day!

WILL MARK BRAINLIEST PLEASE HELP
options are

A. 13
B. 15
C. 26
D. 28​

Answers

Answer:

weird it should be 65.5 or the other way around hm

Step-by-step explanation:

or maybe im just dumb

382.993 to the nearest hundredth​

Answers

Answer:

That number rounds to the nearest hundredth to this number: 382.99

Emily plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $750 in graduation money that she puts into an account that earned $127.50 in interest. What was the interest rate that the bank provided

Answers

Answer:

887.40

Step-by-step explanation:

amount = principal(1i)^n

i = .0425/2 = .02125 , n = 8 , principal = 750

amount = 750(1.02125)^8 = 887.40

A snail can move approximately 0.30 meters per minute. How many meters can the snail cover in 20 minutes?

Answers

Answer:

6

Step-by-step explanation:

  0.30

x    20

     6

Question 4
2 pts
If a = -3, b = 2 and c = -4 find the value of the expression.
a2 +b²

Answers

Answer:

-2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

a2 + b²

a = -3

b = 2

c = -4

Step 2: Substitute and Evaluate

2(-3) + 2²

-6 + 4

-2

Answer:

1

Step-by-step explanation:

-3(5x+2)-(6x-5)
correctly simplify the expression​

Answers

Answer:

-21x-11

Step-by-step explanation:

-3(5x+2)-(6x-5)

use distributive property

-15x-6 - 6x-5

put like terms together

-15x-6x-6-5

simplify

-21x-11

hope this helps

What is the slope of the line that passes through the points M (-3,5) and N (1,8)

Answers

Answer:

m=3/4

Step-by-step explanation:

See the attached above.

Hope it helps :)

The slope of line passing through M (-3,5) & N (1,8) will be 3/4.

We have been given a line passing through points M (-3,5) & N (1,8) .

We have to find out what will be the slope of the line ?

What is the formula for slope of a line ?

Slope of line is given by , m = (y2-y1) / (x2-x1).

Given that line is passing through points M (x1 , y1) and N (x2,y2) or M (-3,5) & N (1,8).

here , x1 = -3 , y1 = 5 , x2= 1 . y2 = 8

The slope (m) of line will be ;

∵ m = ( y2-y1) / (x2-x1)

m = ( 8-5) / (1- (-3))

m = 3 / 4

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Which expression uses the associative property to make it
easier to evaluate 6(1/3•7/5)
O A. (6.1/3)7/5
O B. (6•5/7)1/3
O C. 6(7/5•1/3)
OD 3(1/6•7/5)

Answers

Answer:

A

Step-by-step explanation:

Here, we want to select which of the expressions correctly use the associative property

The associative property deals with rearrangement

So for (a + b) + c

we can have (a + c) + b

In the case of this question, the associate property is the one that makes the evaluation easier

Thus;

we need to bring 1/3 and 6 together since 3 is a factor of 6

We have;

(6•1/3)7/5

Is the following relation a function?

Answers

Answer:

Step-by-step explanation:

It’s a function

Answer:

yes it is a function

Step-by-step explanation:

since the x values dont repeat itself like there are no two of any of the x values then it is a function

Arrange the four numbers shown in order from least to greatest

6.7%
0.67
6/9
6.7×10-3

Answers

Answer:

Step-by-step explanation:

6.7 x 10 - 3

6.7%

6/9

0.67

In my opinion this should be the answer

Solve each of these equations.

3(n+2)=9(6-n)

Answers

Answer:

n= 4

Step-by-step explanation:

3n+6= 54- 9n

12n= 48

n=4

Answer:

4

Step-by-step explanation:

3n+6=54-9n

-3n

6=54-12n

-54

-48=-12n

N=4

You move up 4 units and right 2 units. You end at (-1, 3). Where did you start?

Answers

Answer:

You started at (-3,-1)

Solve the equation for z.
-8z + 1 = z-8

Answers

Answer:

z= 1

Step-by-step explanation:

move the like terms, collect then calculate, divide on both sides :)

Answer:

z equals -1

Step-by-step explanation:

-8z + 1 = z-8

-9z + 1 = -8

-9z + 9

-9z ÷ 9

z = -1

1. To participate in a school trip, Kim had to earn $85 in one week. Kim could earn $8 per
hour babysitting and $15 per hour for yard work, but Kim's parents limit work time to 8
hours per week. How many hours should she spend doing each type of work?
a
First define your variables.
b. Write two equations, one that represents the condition on the total number of hours to be
worked and the other which relates the number of hours worked at each job towards her
goal.

Answers

It has given you that to earn $85 in one week. Kim could earn $8 per hour babysitting and $15 per hour for yard work with work time limited to 8 hours per week. Now we have to represent the variable X is the numbers of hours spent doing babysitting in the week. And Y represents the number of hours spent doing yard work in the week. The equation representing the condition on the total number of hours to be worked is: x+y= 8. The equation relating the number of hours working at each job toward the fund- raising goal is: 8x+ 15y= 85 and your final answer should be x= 5

Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?


Answers

Answer:

The answer is x > -2.5 or (-2.5,infinity)

Step-by-step explanation:

Given m|n, find the value of x.

Answers

Answer:

33 degrees

Step-by-step explanation:

Corresponding Angles Postulate

Answer:

33°

Step-by-step explanation:

if m||n then the angle represented with x° and 33° must be equal because these angles are corresponding.

answer plss. Money here.

Answers

Answer:

Both angles are equal because they are corresponding so:

2x + 5 = 3x - 7

2x + 12 = 3x

x = 12

9)
If l||m and jik,
find the value of y.
(6y + 7)°
1
(5x)
(7x + 24°
m
k
A 7
B) 13
C) 18
D) 65
jump roping
spinning in circles
eating gummy bears
finger painting

Answers

9514 1404 393

Answer:

  C) 18  eating gummy bears

Step-by-step explanation:

The angles indicated with x-expressions are supplementary, so we have ...

  (5x) +(7x+24) = 180

  12x +24 = 180 . . . collect terms

  x +2 = 15 . . . . . . divide by 12

  x = 13 . . . . . . . . . subtract 2

Then the obtuse angle is ...

  7x +24 = 7(13) +24 = 115

__

The angle marked with a y-expression is a corresponding angle to this, so has the same measure.

  6y +7 = 115

  6y = 108 . . . . subtract 7; next divide by 6

  y = 18

Answer:

y=18

Step-by-step explanation:

5x+7x+24=180

12x+24=180

12x=156

x=13



6y+7+65=180

6y+72=180

6y=108

y=

Please help! Will give brainliest!

Answers

Answer:

D.5

Step-by-step explanation:

4*5=20

8*5=40

12*5=60

..etc

brainliest?

Martin painted 255 square feet of his kitchen wall with 23 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft2

Answers

Complete Question

Martin painted 255 square feet of his kitchen wall with 2/3 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft

Answer:

765 square ft

Step-by-step explanation:

2/3 gallon of paint = 255 square feet

2 gallons of paint =

Cross Multiply

2 × 255 square feet/2/3 gallon of paint

= 510 ÷ 2/3

= 510 × 3/2

= 765 square feet


What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now
on sale for $24.99? Round to the nearest percent.

Answers

Answer:

50% decrease

Step-by-step explanation:

49.99 - 29.99 = 25

25

---- = 0.5(100) = 50%

49.99

Answer: I dont know witch one you want me to round so I will do both. $49.99 = $50.00 and $24.99 = $25.00 and if you want to add them it would be $75.00

I need help!!!
-10 = -5 (v-4)
a) 12
b) 6
c) 3
d) -8
What's the answer I need to know?!

Answers

Answer:

i think it is B

Step-by-step explanation:

i am not 100% sure

Answer:

B.

Step-by-step explanation:

-10 = -5 (v-4)

-10=-5v+20

-30=-5v

6=v

Help math question 1 ,2 ,3 grade 12

Answers

Answers:

1.

a. 20%

60/300 × 100/100

= ( 60 × 100 / 300 ) × 1/100 = 20/100

Calculator: 60 ÷ 300 × 100

b. 90%

270/300 × 100/100

270/300 × 100/100= ( 270 × 100 / 300 ) × 1/100 = 90/100

Calculator: 270 ÷ 300 × 100

c. 58.33%

175/300 × 100/100

100/100= ( 175 × 100 / 300 ) × 1/100 = 58.33/100

Calculator: 175 ÷ 300 × 100

2.

a. 35 Students

Calculator: 10 × 350 / 100

b. 93

Calculator: 10 × 930 / 100

c. 118

Calculator: 10 × 1180 / 100

d. 1036

Calculator: 10 × 10,360 / 100

3.

a. 11.1 (Repeated)

Calculator: 50 / 450 × 100%

b. 6.67 (6 Repeated)

Calculator: 50 / 750 × 100%

c. 4.167 (6 Repeated)

Calculator: 50 / 1200 × 100%

Hopefully this helps:)

BRAINIEST IF RIGHT George and his dad are planning to attend the state fair. An adult ticket is $19.00. The price of an adult ticket is one third the price of a student ticket plus $15.00. Write an equation to determine how much George will pay for a student ticket.


A one thirdx + 19 = 15

B one thirdx + 15 = 19

C one thirdx − 19 = 15

D one thirdx − 15 = 19

Answers

Answer:

1/3x+15=19

Step-by-step explanation:

so B

Answer:

its b

Step-by-step explanation:

you dont know the price if the student tick so it represents x... one third of a student ticket would be one thirdx. after you do that you will have to add the extra 15 dollars to it in order to get the price if 19 dollars per adult ticket.

An equation is shown below:

4(x − 3) − 5(x + 1) = 3

Which statement shows a correct next step in solving the equation?

The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Answers

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

By applying the distributive law to this equation, we can produce the equation :

     4x − 12 − 5x − 5 = 3;

The distributive property is a mathematical function in which each element in the parentheses is multiplied by the one outside of it;

   4(x − 3) − 5(x + 1) = 3

In the equation;

  4 distribute over the first parentheses and -5 over the second one;

   So we expand;

      4x - 13 - 5x -5  = 3

In distributive property, expansion simply takes place.

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