Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?

Define the variable:_________________________________________



Write the equation: _________________________________________


Solve the equation in the space below. Show your work

Answers

Answer 1
Call x as the number of months that Marc and Corinna have the same number of book.
45 +4x= 61 +2x
4x- 2x= 61-45
2x= 16
x= 8

Related Questions

find the unit rate for this problem


45 tacos for 15 people ______ to is per person


No link please!!!​

Answers

Answer:

45/15 = 3

Step-by-step explanation:

3 tacos per person

Answer:

3 tacos for 1 person

Step-by-step explanation:

45 tacos / 15 people

Divide the top and bottom by 15

(45/15)   / ( 15/15)= 3/1

3 tacos for 1 person

A digital music service sells 12 songs for $9. 96. At this rate, how many songs can you purchase for $4. 15?.

Answers

The amount of songs you can purchase for $4.15 is 5 songs as 1 song is $0.83 and 5 will be $4.15

11/12 x 24 + 16/3 - 9/4 =

Answers

Answer:

301/12

Step-by-step explanation:

Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food

Answers

Answer:

I think youre trying to ask the weight of one of the bags

Step-by-step explanation:

the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps

BRAINLIEST
Two questions to solve
Please no trolling

Answers

Answer:

Step-by-step explanation:

question 13:

the triangle with x is a 30-60-90 triangle which means

x= 17√3

then the traingle with y and z is a 45-45 triangle

z=34

y= 34√2

question 14:

x= 18√3

z=9

y= 18

Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)

Answers

Answer:

(−2, 3), (−5, 3) lie on a horizontal line.  The y value is 3 for both values of x.  The line runs parallel to the x axis and 2 steps above.

Step-by-step explanation:

Kim kardashian weight lifts 150N. Her muscles use 100J of energy. Calculate the distance she moves her weight

Answers

Answer:

2/3 meters

Step-by-step explanation:

Work=Force*Distance

we can also say:

Distance=Work/Force

Distance=100j/150N

D=2/3 meters

The distance she moves her weight is 2/3 meters.

What is energy?

Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.

Energy is a preserved resource according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

Given, Kim Kardashian weight lifts 150N.

Her muscles use 100J of energy.

We know work = force×distance.

∴ 100 = 150×distance.

distance = 100/150.

distance = 2/3 meters.

learn more about force here :

https://brainly.com/question/13191643

#SPJ2

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10

Answers

the answer is D. Hope this helps

Plzzzzzz help one more time​

Answers

D
Non linear means not a straight line

Please help I've never been more confused

Answers

Step-by-step explanation:

2.

Two pairs of corresponding angles

i. angle C angle D

ii. angle G angle F

Two pairs of alternate angles

i. angle B angle D

ii. angle H angle F

Two pairs of interior angles

i. angle C angle H

ii. angle D angle E

Jordan saved $15.00 because he bought a pair of jeans on sale of 40% OFF. What was theoriginal cost of the jeans?

Answers

Answer:

$21.00

Step 1- Solve 40% of $15.00

=$6.00

Step 2- Add the 40% to the discount amount

=$6.00+$15.00=$21.00

find the percentage change and classify as an increase or decrease

2004 cost: $18.77
2006 cost: $19.17

Answers

Answer:

this is 2% increase

Step-by-step explanation:

to find percent change,

big - small

---------------

original

19.17-18.77

-------------- = 0.021

18.77

round: 0.02 or 2%

( For Brainly )
On which body part a temporal lobe is placed?
The square root of 81 is?

Answers

Answer:

On which body part a temporal lobe is placed?

answer-

behind the ears

The square root of 81 is?

answer-

9

Which of the following equations have exactly one solution? Choose multiple choices.

Answers

Answer:

-5x+12=5x-5

12=5x+5x-5

12+5=10x

17=10x

17/10=×

A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?​

Answers

This I think could be technically answered in a couple of ways. Fill the 4 gallon bucket up and then fill the 7 gallon bucket up 1/7 of the way. Or fill the 4 gallon bucket up and transfer to the 7 gallon bucket and fill the 4 gallon bucket up 1/4 of the way. Either way the 1/4 or the 1/7 will be a close estimate to get your 5 gallon bucket. I hope this helps.

Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.

Answers

Answer:

(x-6)(x+6) pairs with x^2-36

9x^2-1 pairs with (3x-1)(3x+1)

4(x+2)(x-2) pairs with 4x^2-16

Step-by-step explanation:

Triangle ABC is similar to triangle EFD. What
scale factor is required to dilate triangle ABC
so that its image, A'B'C', is congruent to
triangle EFD?

Answers

EFD the the nearest number balance it to 12/15

Write 5×100+9×1+3×1/100+7×1/1000 in standard form

Answers

Answer:

512.017

Step-by-step explanation:

Just multiply all the numbers and add them as you go along to make one number.

Determine the measure∠d.

Answers

14°is the correct answer.

Please mark my answer as brainest and follow me to get the answer faster

Answer:

∡d  = 83°

Step-by-step explanation:

∡d is 180 - 97 = 83°

∡d and the 97° angle are supplementary, meaning their sum is 180 degrees

what is the place value of 2 in 842567​

Answers

Answer:

842567

the answer is thousands

7 is ones

6 is tens

5 is hundreth

2 is thousands

4 is ten thousands

8 is hundred thousands

Hope This Helps!!!

X/2-1/5=x/3+1/4



Plz I need fast

Answers

Answer:

X= - 6/20

Step-by-step explanation:

Find the lcm in both sides,,,

Do a cross multiple of the sides,

HELPPPP PLS!! TY

Look at triangle ABC.

Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.

What is the length of side AB of the triangle? (1 point)

Square root of 6

3

Square root of 18

6

Answers

Step-by-step explanation:

as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.

the drawn triangle is nothing else than that.

to calculate the length of a side in such a triangle we need to use Pythagoras :

c² = a² + b²

c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.

a and b are the legs of the triangle "enclosing" the 90 degree angle.

so, we have

AB² = AC² + BC²

AC and BC we know : the coordinate differences in x and y directions.

AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.

BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.

AB² = 3² + 3² = 9 + 9 = 18

AB = sqrt(18)

FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)

What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY

Answers

Answer:

D) (4, -6, -1)

What is the nth term rule of the lines
5, 8, 11, 14, 17....
Tn​

Answers

I think the answer is 3n+2.

Answer:

3n+2

Step-by-step explanation:

72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators. ​

Answers

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

(6x + 7) + (13x + 21) = 180
x =

Answers

Answer:

Step-by-step explanation:

x=4

Select the correct answer.
Which two ratios are NOT equal?
A.
1 : 6 and 3 : 18
B.
2: 14 and 3: 42
C.
12: 6 and 2: 1
D.
3: 11 and 6: 22

Answers

I think its c i am not 100/ sure

Answer:

B

Step-by-step explanation:

Equal ratios can be found by multiplying/ dividing the parts by the same value.

A

1 : 6 ( multiply both parts by 3 )

= 3 : 18 ← equal ratios

B

2 : 14 ( multiply both sides by 3 )

= 6 : 42 ≠ 3 : 42 ← ratios not equal

C

12 : 6 ( divide both parts by 6 )

= 2 : 1 ← equal ratios

D

3 : 11 ( multiply both parts by 2 )

= 6 : 22 ← equal ratios

A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?

Answers

lol no

just give up in life

The function is used to model real life situation

The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000  

 

(a) The value of a

The function is given as:

[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]

The profit on 120 computers is 3200000.

So, we have:

[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]

[tex]\mathbf{3200000 = -1600a}[/tex]

Divide both side by -1600

[tex]\mathbf{a = -2000}[/tex]

Hence, the value of (a) is -2000

(b) The maximum profit

The function becomes

[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

Expand

[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]

[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]

Expand

[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]

Differentiate

[tex]\mathbf{y' = -4000x + 600000}[/tex]

Set to 0

[tex]\mathbf{-4000x + 600000 = 0}[/tex]

Collect like terms

[tex]\mathbf{4000x = 600000}[/tex]

Divide both sides by 4000

[tex]\mathbf{x = 150}[/tex]

Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]

[tex]\mathbf{y = 5000000}[/tex]

150 computers must be produced to maximize the profit of $5,000,000  

c) Range when the target is at least $4,800,000

This means that:

[tex]\mathbf{y \ge 4800000}[/tex]

So, we have:

[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]

Collect like terms

[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]

[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]

Divide through by -2000

[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]

Factorize

[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]

Express as inequality

[tex]\mathbf{140 \le x \le 160}[/tex]

A range of 140 to 160 computers would give the company at least $4,800,000

Read more at:

brainly.com/question/25471478

Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix did he purchase?

Answers

Answer: 3 pounds

Step-by-step explanation:

brainliest me

Answer:

3

Step-by-step explanation:

14.04 divided by 4.68 is 3

two and twenty-seven hundredths

Answers

Twenty=20Twenty seven hundred hundreths=2700

Actual number

[tex]\\ \sf\longmapsto 202700[/tex]

Number in words=two hundred and two thousands and seven hundreds

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