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

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.

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

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%

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.

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.

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

Answer:

y = −4x^2 + 4x − 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y=1/2x+3

Answer:

the common factor is 3xy³

therefore by factoring we get;

3xy³(4y-7xy²z+12)

Answer: the answer is D hope it helps.

Just took the test. Edge

Answer:

its multiplication 4 times 3 the product is 12

Step-by-step explanation:

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")

Answer:

1) D: All of the above.

2) A: No solution

3) B: One solution

Step-by-step explanation:

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.

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.

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.

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)

Hi there!

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

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)

Answer:

10

Step-by-step explanation:

3/5 simpilfied is 0.6

So 6/0.6 = 10

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]

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

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.

Length = 4m

Width = ½ of length = ?

Then width will be,

→ 4 × 1/2

→ 4 ÷ 2 × 1

→ 2 × 1 = 2

Thus, 2 is the width.

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.

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

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:

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:

b

Step-by-step explanation:

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.

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