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

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

b

Step-by-step explanation:

PLEASEEEEE Help me with this

Answers

b is the correct answer :)

Sprinters who run 100 yards now often run 100 meters.


How many meters longer to the nearest tenth is 100 meters than 100 yards?


Enter the correct answer in the box.

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

(4,1),(8,2) in slope intercept form

Answers

Answer

y=1/4x

Step-by-step explanation:

2-1/8-4=1/4

Choose either of these points ( I will use 4,1 becuase it's easier)

1=1/4(4)=b

1=1+b

0=b

y=1/4x (you don't put the zero)

Find 5 rational number between 11/13 and 13/11

Answers

Answer:

mark as brainliest for full answer rn Ima tell you steps you shoudl and get the ans how to

so 1st 11 by 13 and 13 by 11 take lcm multiply make denominator equal so then numbers between the both numerator of no. is the rational no. so

Step-by-step explanation:

11by 13

11 into 11 by 13 into 21

13 by 11

13 into 13

11 into 13

and frm numerator find the 5 rational no.

If you multplied 5x10, would you get the same answer as 5x5x5? Explain your reasoning. DO NOT G O O G L E THE ANSWER!!!!!!

Answers

No because for 5x10, you just add 10 5 times for 50. For 5x5x5, you multiply 5x5 and get 25 then multiply it again with the other 5 and get 125.

Answer:

No

Step-by-step explanation:

No, because 5 × 5 × 5 = 25 × 5 and that does not equal 10×5.

Write an equation of the line in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Y=1/2x+3

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

a).

perimeter=326 m

length l=89 m

width w=?

Perimeter of a rectangle=2(l+b)

2(89+w)=326

89+w=326/2=163

w=163-89=74 m

b).

area=4648 cm^2

width=56 cm

length=4648/56=83 cm

7.
Fit a quadratic function to these three points:

(−1, −11), (0, −3), and (3, −27)

y = −4x^2 − 4x + 3

y = −4x^2 − 4x − 3

y = −4x^2 + 4x − 3

y = 4x^2 − 4x − 3

Answers

Answer:

y = −4x^2 + 4x − 3

Step-by-step explanation:

a boy gains 8 marks out of 10 what percentage is this​

Answers

It is 80%

8 divied by 10 is 0.8. Which is 80%

Answer:

8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%

Step-by-step explanation:

8 ÷ 10 = 0.8 = 80%

Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:

Answers

Answer:

steps below

Step-by-step explanation:

x < -10

|1+2x| < 0      ∴ |1+2x| = -(1+2x)

|5 − 3x| > 0   ∴ |5 − 3x| = 5-3x

|−5x − 8 | > 0   ∴ |−5x − 8 | = -5x-8

|1 + 2x| + |5 − 3x| − |−5x − 8 |

= -(1+2x) + (5-3x) - (-5x-8)

= (-2x - 3x + 5x) + (-1 + 5 + 8)

= 12

A pancake recipe calls for one egg for every three cups of flour. How many cups of flour do you need for four eggs?

Answers

Answer:

its multiplication 4 times 3 the product is 12

Step-by-step explanation:

5 = 5+r-2r
what's the answer to this equation

Answers

Hi there!

5=5+r-2r

Combine like terms:

5=5-r

Move all the variables to the left, using the opposite operation:

r+5=5

r=5-5

r=0

r=0 is the answer

Hope it helps

~Just a gloomy gal

#CarryOnLearning

[tex]SilentNature :)[/tex]

Answer:

r = 0

Step-by-step explanation:

5 = 5 +r - 2r

5 = 5 -r

c.l.t   r = 5 - 5

r = 0

An electrician charges a
service fee of $89 plus an
hourly rate of $35.
Identify the y-intercept
in this linear equation.
HELPP.

Answers

Answer:

89

Step-by-step explanation:

The y intercept is the value when x = 0

Even when you have 0 hours you still have to pay the service fee

The equation is

y = 35x+89

The y intercept is 89

How many brownies can you make in an 8x8 inch pan?

Answers

Answer:

You can make as many as you want, infinitely smaller but you need to specify the size of the brownies

Step-by-step explanation:

Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?

Answers

Answer:

Step-by-step explanation:

Dad:  2/5

Son:  1/3

Who mowed most of the lawn? Dad, of course.  2/5 is larger than 1/3.  2/5 is 40% and 1/3 is 33.333%

How much of the lawn still needs to be mowed?  

 2/5 + 1/3 + X = 1  [1 means the whole lawn.  X is the remaining portion.]

6/15 + 5/15 + X = 1   [Convert each fraction so that they have a com,mon denominator.  This also shows that 2/5 (6/15) is larger than 1/3 (5/15).

11/15 + X = 1

X = 1 - 11/15

X = 4/15 left to be mowed.

How much does Mr. Doyle have left to mow?

We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.

4/15 left to be mowed.

Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard

Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard

Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.

Convert the fraction into a decimal number. Then we have

2/5 = 0.40

1/3 = 0.33

Mr. Doyle mowed faster than his son.

The amount of the lawn still needs to be mowed will be given as,

⇒ 1 - 2/5 - 1/3

⇒ (15 - 6 - 5) / 15

⇒ 4 / 15

The amount of lawn still needs to be mowed will be 4/15.

Mr. Doyle has left to mow and will be given as,

⇒ (4 / 15) x (2 / 5)

⇒ 8 / 75

Mr. Doyle has left to mow and will be 8/75.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Give coordinates for three possible pairs of points for the other two verticies...

Answers

Answer:

A) (-1,3) and (4,3)

B) (-1,-7) and (4,-7)

C) (1.5, .5) and (1.5, -4.5)

Step-by-step explanation:

For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.

4-(-1)=4+1=5

The length of the side of the square is 5.

1. For the first set of points, the square is above the two given points so just add 5 to the y-values

-2+5=3

This gives you the points:

(-1,3) and (4,3)

2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.

-2-5=-7

This give you the points:

(-1,-7) and (4,-7)

3. The third answer is when the two given points are on opposite corners

of the square.

Here the diagonal is equal to 5 since they are on opposite corners of the square.

The diagonal of a square can be found with the pythagorean theorem

Since we have the diagonal we can find the side lengths we need.

[tex]2s^2=25[/tex]

s=[tex]\sqrt{\frac{25}{2} }[/tex]

s=3.5355

We want the new vertices to be in the middle of the other vertices x-coordinates

[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]

The new vertices will be 2.5 units away from the other vertices

-1+2.5=1.5

The new vertices will be at x=1.5

Now we need the pythagorean theorem again to find the y-values

[tex](2.5)^2+h^2=(3.5355)^2[/tex]

[tex]6.25+h^2=\frac{25}{2}[/tex]

[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]

h=2.5

The new vertices will be:

(1.5, -2+2.5)=(1., .5)

(1.5, -2-2.5)=(1.5, -4.5)

-7(11) is -77 or 81 ​

Answers

Hi there!

-7(11) is equivilent to -7*11 which equals -77.

The answer is -77
This so because 7x11=77, bug the negative would make it -77

PLSSSSS I WILL MARK BRAINLIEST PLSSSSSS
Raven is making pillows. Each pillow requires 1/3 yard of fabric. Raven has 6 yards of fabric. How many full pillows can she make?????????????????????????????????

Answers

Answer:

10

Step-by-step explanation:

3/5 simpilfied is 0.6

So 6/0.6 = 10

6 divided by 3/5 is 10

A house is sold for 8% above its original price. If it was sold for £378000 then calculate its original price

Answers

Answer:

$350,000

Step-by-step explanation:

lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000

ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is greater than 1
B x is greater or equal to 1
C. x is greater than 3
D. x is greater or equal to 3

Answers

Answer: the answer is D hope it helps.

Just took the test. Edge

Someone help, this is kinda boring...
I'll give brainliest if someone gives me the correct answer

Answers

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]

Solve one third plus seven ninths equals blank
Question 1 options:

ten twenty sevenths

eight ninths

ten ninths

nine thirds

Answers

Answer:

the answer is 10/9.

Step-by-step explanation:

Please give BRANIEST and 5 stars if correct!

Answer:

ten ninths

Step-by-step explanation:

"one third plus seven ninths" can be rewritten symbolically as

1/3 + 7/9 and we note that the LCD is 9.  Thus,

1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")

easy one for you folks.​

Answers

Length = 4m

Width = ½ of length = ?

Then width will be,

→ 4 × 1/2

→ 4 ÷ 2 × 1

→ 2 × 1 = 2

Thus, 2 is the width.

Giving brainliest to correct answer
1/4 + 1/3 + 11/12 6/15 + 3/10 + 3/5
4/5 + 3/15 - 2/3 4 2/5 + 5 2/6

Answers

Answer:

#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15

Step-by-step explanation:

This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.

Two tins are geometrically similar, if the ratio of there volume is 27:64, find the ratio of the curved surface areas​

Answers

Answer:

9:16.

Step-by-step explanation

The scale factor is  ∛27:∛64

= 3:4.

So the ratio of the curved areas = 3^2:4^2

= 9:16.

Rosie is mixing a special green paint which contains 2/3 cups yellow paint 1/3cups white paint 1 and 1/5 cups blue paint and last 1/5 black paint what percentage what percentage of the green paint is blue

Answers

the answer is 50 percent

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

4x + 80 = 180
x = 25

2x + 80 = 130
2x = 50

Factor completely by finding the greatest common factor:

12xy^4 − 21x^2y^5z + 36xy^3

Answers

Answer:

the common factor is 3xy³

therefore by factoring we get;

3xy³(4y-7xy²z+12)

pls help me with this:((((((((​

Answers

Answer:

1) D: All of the above.

2) A: No solution

3) B: One solution

Step-by-step explanation:

1. The systems of linear equations can be solved through the following methods:

Graphing method: Using the slope and y-intercepts of each equation to plot points and graph the lines to see whether the given system has a point of intersection as a solution.

Elimination method: this involves either adding (when the coefficients have opposite signs) or subtracting (when the coefficients have the same sign).  

Substitution method: involves solving for one of the variables of either equations, and substituting the values of that expression into the other linear equation in the system.

Therefore, the correct answer is Option D: All of the above.

2. Graph of Parallel Lines:

Given the graph of parallel lines, which means that they will never have a point of intersection. Therefore, the given systems of linear equations have no solution. Therefore, the correct answer is Option A: No solution.

3. Graph of Two Intersecting lines

Given the graph of two non-perpendicular intersecting lines, it means that they have one point of intersection that represents the solution to the given system.

Therefore, the correct answer is Option B: One solution.

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