Suzanne has 15 books and will buy 3 more each month. Jack has 57 books and will sell 4 books each month. After how many months will they have the same number of books? How many will that be?

Answers

Answer 1

They would both have the same number of books after 6 months.

The number of books they would have is 33.

This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x

This expression can be used to determine the number of books Jack would have after x months: 57 - 4x

In order to determine the month in which both people would have the same number of books, equate both expressions.

15 + 3x = 57 - 4x

Combine similar terms

3x + 4x = 57 - 15

7x = 42

Divide both sides b y 7

x = 6

Number of books they would have : 15 + 3(6) = 15 + 18 = 33

A similar question was answered here: https://brainly.com/question/21014980?referrer=searchResults


Related Questions

Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
B)How fast is the area of the triangle changing 2 minutes later?

Answers

Answer: 5 in

Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.

What is a quarter of 2770?

Answers

Answer:

692.5

Step-by-step explanation:

Answer:

it's 692.5

I hope it's right

Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material will Marco need to make the kite? 2 square feet 3 square feet 4 square feet 6 square feet.

Answers

Answer:

3 square feet

Step-by-step explanation:

Got it right because of the answer above :)

Marco will need 3 square feet of material to make the kite.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the formula for the area of a kite, which is:

A = (1/2) x d1 x d2

where d1 and d2 are the lengths of the two diagonals.

In this case,

d1 = 2 feet, and d2 = 3 feet.

Substituting these values into the formula, we get:

A = (1/2) x 2 feet x 3 feet

   = 3 square feet

Therefore,

Marco will need 3 square feet of material to make the kite.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Solve

2^3n-4>0

...................

Answers

Answer:

2^3n-4>0 4

Step-by-step explanation:

brainlies me plsss

The regular price of a code is $32 it is on sale at 25% off the sales tax is 6.5% what is the final cost of code

Answers

Answer:

$25.56

Step-by-step explanation:

first find the discount

32 • 0.25 = 8

32 - 8= 24

find the tax

24 • 0.065 = 1.56

24 +1.56 = 25.56

so the final price is $ 25.56

Answer:

25.56

Step-by-step explanation:

25% of 32= 8

32-8= 24

6.5% of 24= 1.56

24+1.56= 25.56

I hope this helped! Also, the Semester Knowdowns are done in a week! Start trying to get higher scores!

2. A trader received a commission of 25 percent on the sales he made in a month. His commission was CH¢ 180.00. find his total sales for a month. ​

Answers

Answer:

CH¢ 720.00

Step-by-step explanation:

25% commission equals 180.00

Total sales amount is x:

x*25/100 = 1800.25x = 180x = 180/0.25x = 720

Someone could help me with problem 3-75 (b) please

Answers

Answer:

a. is correct

b. not correct

c. not correct

d. is correct

Step-by-step explanation:

3-75:

a) 3x + 7 = x - 1

Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)

b) -2x - 4 = -4x + 3

Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)

c) -3x + 5 + 5x - 1 = 0

Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)

d) -(x - 1) = 4x - 5 - 3x

Combine 4x and -3x together to get

-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)

Explanation:

I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.

Hope this helps though, I did my best :)

Willa is building birdhouses . Each side of the birdhouse needs 9 nails . How many nails does Willa need for each birdhouse . There are 7 sides on the birdhouse

Answers

Answer:

63

Step-by-step explanation:

I side=9 nails*1= 9nails

7 sides= 9*7 nails= 63 nails

Each birdhouse requires 63 nail.

Hope this helps!

What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.

Answers

Answer:

200 cubic centimeter

Step-by-step explanation:

Answer:

201.1 cc

Step-by-step explanation:

r = d/2

v = πr^2 h

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

r = 4/2

r = 2

v = π * (2^2) * 16

v = 3.14159 * 4 * 16

v = 201.06176

Rounded

v = 201.1 cc

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

note:

if 3.14 is used for π

v = 200.96

which rounds to

v =201.0

7/10=r-(-8/9) please help

Answers

Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks?

Answers

Answer:

450 minutes or 7.5hours

Step-by-step explanation:

for 1 week = 50 *3 (min)

                 =150 minutes

for 3 weeks = 150* 3(min )

                    =450 minutes

PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?​

Answers

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers.

PLEASE HELP ME I HAVEN'T STARTED ITS DUE TMRW

Answers

Answer:

The perfect square lockers are the only ones left open.

Step-by-step explanation:

Here is a legit link to an explanation of this old puzzle problem!

https://36university.com/act-math-locker-problem-solution/

Quoting from that page:

Method 2: Who Touches Which Lockers

Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.

Here’s what I mean:

Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.

Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.

Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.

Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.

Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.

By this logic, every locker would be closed.

But there are exceptions!

Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.

Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.

Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!

How do the expressions 2q2−3p and 2(p+q)/q compare when p = 8 and q = 4?Drag a symbol into the box to correctly complete the statement.2q2−3p Response area 2(p+q)/q when p = 8 and q = 4.=<>

Answers

Answer:

The answer is ">"

Step-by-step explanation:

I took the quiz epicly

Answer:

>

Step-by-step explanation:

BRAINLIEST
Can you help me finish these

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the scale factor?

Answers

Use this:

The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.

Answer:

1 2/3 is the scale factor

Step-by-step explanation:

So the scale factor either makes soemthing bigger or smaller

In this case it’s getting bigger

So we have one side already so we jsut find the value that was multiplied

so 9 * ? Is 15

You

d get 1 2/3

The length of an eraser is ¾ inch. How many erasers would it take to make a row 42 inches long?

Answers

Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be

3/4+3/4=2 3/4

So, let us suppose that we have x erasers. The length of the row of x erasers would be

3/4 x

we want x such that this length is 42, so we have the equation

3/4 x =42

Step-by-step explanation:

What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.

Answers

Only two positive integers, 2 and 8, fit the description.

2 = 10 (base 2) = 2 (base 3)

8 = 1000 (base 2) = 22 (base 3)

Their sum is 10.

Can someone help me pls

Answers

Slope is -3/2.

Equation in slope intercept form is: y=-3/2-2

Equation in point slope form is:
y+2=-3/2x-3/2.

If you want the un simplified version of the equation in point slope form it is: y- -2= -3/2(x+1)

Hope this helps!! :)

For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.

Answers

Answer:

33/16

Step-by-step explanation:

Alex got 9 hits in his first 22 at bats. If his hitting rate remains constant, how many at bats would he have to have to reach 50 hits

Answers

Answer:

122.2222 repeating

Step-by-step explanation:

What is 1 and 1/4 - 3/8?

Answers

Answer:

7/8

Step-by-step explanation:

1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8

Answer:

0.875

Step-by-step explanation:

Pls help me I have to do my other work. Also this detects if it’s right or wrong:(

Answers

Umm Help with what..

Please help me!!!!!!

Answers

Answer:

do you know what the question is asking?

Step-by-step explanation:

Please help me with both problems I’ll mark as brainliest!!!

Answers

Answer:

7.  x = 9

9. x=7

Solve for X:

6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8

Answers

Answer:

I think it's infinantly many solutions

Step-by-step explanation:

6•4x= 24x.

6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31

24x-31 24x-31

sorry that's it's set up so wierdly

Answer:

Any value of  X  makes the equation true.

Step-by-step explanation:

3 times a Numbers plus 12 is more than 15?

Answers

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

Answer:

3x + 12 > 15

this can be simplified to

x > 1

Step-by-step explanation:

:D

. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 3 16 4liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 4 19 5liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences. please be helpful no links that there not helpful ok :)

Answers

Answer:

345645

Step-by-step explanation:

60 x 45

The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches

Answers

Answer:

1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation

please help ASAP WHOSOEVERS first will be marked brainliest thank you
When you type the answers i ask please dont send any links pictures are fine but please make it visible and readable
I prefer you type your answers in the text box
please make it make sense
Thank you so much for helping me you do not have to solve the whole thing but if you can AWESOME

Answers

Answer:

why

Step-by-step explanation:

why

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