Xian and his cousin Kai both collect stamps. Xian has 56 stamps and Kai has 72. The boys recently joined different stamp collecting clubs. Xian's club will send him 12 stamps per month. Kai's club will send him 8 stamps per month. After how many moths will Xian and Kai have the same number of stamps? How many will each have?

Answers

Answer 1

Answer:

After how many moths will Xian and Kai have the same number of stamps?

4 months

How many will each have?

104 stamps

Step-by-step explanation:

Let the number of stamps that they collect be represented by x

Xian and his cousin Kai both collect stamps.

Xian has 56 stamps . Xian's club will send him 12 stamps per month.

= 56 + 12× x

= 56 + 12x

Kai has 72 stamps. Kai's club will send him 8 stamps per month.

= 72 + 8 × x

= 72 + 8x

After how many moths will Xian and Kai have the same number of stamps?

56 + 12x = 72 + 8x

Collect like terms

12x - 8x = 72 - 56

4x = 16

x = 16/4

x = 4

Therefore, after 4 months, Xian and Kai would have the same number of stamps.

How many will each have?

x = 4

56 + 12x = 72 + 8x

56 + 12 × 4 = 72 + 8 × 4

56 + 48 = 72 + 32

104 = 104

Each of them will have 104 stamps.


Related Questions

If m<1 = 89', what is m<5?
A. 1
B. 89
C. 91
D. 179

Answers

Answer:

m∠5 = 91°

Cuz i just know

Is (-2,-4) a solution of the system y=2x and 3x+2y=1 ?

Answers

Answer:

No

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

what is a square plus b square equal c square.

Answers

Answer:

I am trying to do this for points sorry

Step-by-step explanation:

And it equals E square

The volume of a box is 1800 cubic Inches. If the length of the box is 10 inches and its width is 3 inches more than its height, find the width and
height of the box.

Answers

Answer:

The width of the box is 15 inches and its height is 12 inches

Step-by-step explanation:

Equations

The volume of a box of width W, height H, and length L is given by:

V=W*L*H

We know

L=10 inches

W=H+3

V=1800 cubic meters

Substituting:

1800=(H+3)*10*H

Operating and swapping sides:

[tex]10H^2+30H=1800[/tex]

Dividing by 10:

[tex]H^2+3H=180[/tex]

Rearranging:

[tex]H^2+3H-180=0[/tex]

Factoring:

(H-12)(H+15)=0

The only positive and valid result is:

H=12 inches

Thus,

W=H+3=12+3=15 inches

The width of the box is 15 inches and its height is 12 inches

The Moores paid $8 more for skate rentals than the Cotters did. Together, the two families paid $40 for skate rentals. The skate rentals are $4 each. How many pairs of skates did the Moores rent? Explain how you found your answer.

Answers

Answer:

the Cotters paid 16 dolars

Step-by-step explanation:

What might a robot in the nurse's office do in the future?​

Answers

Answer:

its so simple

how do you not know

the answer is examine peoples injury what else would be

Find The value of c so that the polynomial p(x) is divisible by (x+2)

Answers

Answer:8

Step-by-step explanation:

ASAP!!!!!!!!!!!! I NEED HELP

Answers

Answer:

ask your teacher for help

Step-by-step explanation:

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

12

Step-by-step explanation:

2²+2³means 2×2+2×2×2=4+8=12

A car rental company charges a 50 rental fee plus a 0.43 per mile

Answers

Answer:

y=0.43x+50

Step-by-step explanation:

This is the equation given the information

At a certain company, the monthly salary of project managers can be modeled by the function f(x)= x^4 -10x^2+10,000 where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary?

Answers

Answer:

Given

Step-by-step explanation:

Given the monthly salary of project managers modeled by the function

f(x)= x^4 -10x^2+10,000

To know the number of years that a project manager be eligible for a $20,000 monthly salary, we will substitute f(x) = 20,000 and solve for x as shown:

20,000 = x^4 -10x^2+10,000

x^4 -10x^2 = 20000-10000

x^4 -10x^2 = 10,000

x^4 -10x^2 - 10,000 = 0

(x^2)^2-10x^2 - 10000 = 0

let P = x^2

P^2 - 10P -10000 = 0

P = 10±√10²-4(-10000)/2

P = 10 ±√100+(40000)/2

P = 10 ±√40100/2

P = 10 ±200.2/2

P = 210.2/2

P = 105.1

Since P = x^2

105.1 = x^2

x = √105.1

x = 10.25

Hence it will take like after 10 years for the manager to earn a $20,000 monthly salary

Answer:

10 1/4

Step-by-step explanation:

brynne withdrew all the money

Answers

Answer:

whats the question, lol?

Step-by-step explanation:

3a(a+1)-5=3a-2
PLEASE HELP
GOOD DETAIL PLEASE​

Answers

Answer: 3a to the second power minus three/ 3a^2 - 3

Step-by-step explanation:

3a (a + 1) - 5 = 3a - 2 Given

3a^2 + 3a - 5 = 3a - 2 Distributive prop

+ 2 + 2 Addition property

3a^2 + 3a - 3 = 3a Simplify

- 3a - 3a Subtraction prop

3a^2 - 3 Simplify

In a test, 5 marks are given for every correct answer and (-2) marks are given for every incorrect answer. 1) Anjali scored 30 mark. If she got 10 correct answers, how many questions she answered incorrectly? 2) Rohan got 4 correct answers. If he scored (-12) marks in the test, how many questions he answered incorrectly?

Answers

Answer:

1. Anjali answered 10 questions incorrectly

2. Rohan answered 16 questions incorrectly

Step-by-step explanation:

1 .The mark given for one correct answer = 5

That means that the mark given for 10 correct answers = 5 × 10 = 50

But Anjali's score = 30

Also, the marks gotten for incorrect answers = 30 - 50 = -20

Mark given for one incorrect answer = -2.

Therefore, number of incorrect answers would be;

= (-20) ÷ (-2)

= 10

•Anjali answered 10 questions incorrectly.

2. Total marks = -12

Number of correct answers = 4

Total marks for correct answers = 4 × 5 = 20

Also, marks for incorrect answers = -2 × Number of incorrect answers

Therefore,

Total marks = Marks for the correct answers + Marks for the incorrect answer

-12 = 20 + (-2) × Number of incorrect answers

-12 - 20 = -2 × Number of incorrect answers

-32 / 2 = Number of incorrect answers

Number of incorrect answers = 16

• Rohan answered 16 questions incorrectly.

i really need help ok

Answers

Answer:

Jim ran 60 miles

Step-by-step explanation:

T (Toby) - 5 miles

K (Katie) - 4T , 4(5), 20

J (Jim) - 3K, 3(20), 60

Answer:

Jim ran 60 miles.

Step-by-step explanation:

First off I would take note of the information given.

Toby = t

Kate = k

Jim = j___________________________________________

j = 3k

t = 5

4t = k  

Since we already know Tim ran 5 miles we multiply 5 x4 to get 20. So Kate ran 20 miles.

3 times Kate's amount is Jim's. So 20 x 3 = 60.

Hope that helps and have a great day!

I need someone to match all of these please​

Answers

Answer:

48 to 36= 4 to 9

56 to 35=8 to 5

1 to 2=

44:99=4 to 9

30:65=

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A new hospital in Springfield starts out with 11 junior residents and 5 senior readings on its staff. Management plans to to hire additional personnel at a rate of 1 junior resident per month and 3 senior residents per month. Eventually there will be an equal number of each on the hospital staff. How long will that take? How many of each type will be there be?

Answers

Answer:

3 months

14 of each type of staff

Step-by-step explanation:

Starting employees

Junior residents = 11

Senior readings = 5

Additional personnel at a rate of 1 junior resident per month and 3 senior residents per month

Junior residents = 11 + m

Senior readings = 5 + 3m

Where,

m = number of months

How long will that take?

Equate both expression

11 + m = 5 + 3m

11 - 5 = 3m - m

6 = 2m

Divide both sides by 2

m = 6/2

= 3

m = 3 months

Junior residents = 11 + m

= 11 + 3

= 14

Senior readings = 5 + 3m

= 5 + 3(3)

= 5 + 9

= 14

How do I step by step solve a substitution equation?
Solve this equation by substitution:

3x-3y=4
-x+y=-4

Answers

Answer:

No solution

Step-by-step explanation:

Set -x+y=-4 to y

y=x-4

Substitute y into 3x-3y=4 and solve for x

3x-3(x-4)=4

3x-3x+12=4

12[tex]\neq[/tex]4

No solution

who wants to play surviv.io with me ill post the code

Answers

Answer:

Sure but later

Step-by-step explanation:

Answer:

Ok then post it

Step-by-step explanation:

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Answers

Answer:

5 and 0

Step-by-step explanation:

The answer to x > -45, are all number that are larger than -45.

5: Is 50 larger than -45

-100: Is 55 smaller than -45

-50: Is 5 smaller than -45

0: Is 45 larger than 45

5 and 0 are correct because they are both larger than -45.

Answer:

Well from the question I can only confirm that X (-45, infinity) is the possible answer. The answer would be A and D because 5 is greater than -45, while 0 is also greater than -45.

Determine whether the equation 6x^2+y=4 is a linear

Answers

Answer:

No

Step-by-step explanation:

This equation is not linear because it has an exponent greater than 1.

What is the equation of this line in slope-intercept form?


y=−3x+2

y=−13x+2

y = 3x + 2

y=3x−2
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Answers

The answer to this question would the C

The correct answer would be "y = −3x + 2" aka option A

help help asap I WILL MARK BRAINLESLT

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate interior angles with angle 9?

Answers

Answer:

C

Step-by-step explanation:

I did the quiz on Edg

Define a variable, set up an equation, then solve.
A moving truck costs $18 per hour to use plus a $44 service fee. If the total bill was $152, how many hours was the truck rented?

Answers

2 hours and 45 minutes

WHAT PROPERTY IS 26•1=26

Answers

Answer: Identity Property of 1

Step-by-step explanation:

The Identity Property of 1 states that any number times 1 will be that number.

This is the Identity Property of 1.

Hope this helps!

Identity Property of 1

Step-by-step explanation: any number x 1 = same number

PLEASE ANSWER ASAP
How many nitrogen (N) atoms are there on the reactant side? on the product side?

N2 + H2 --> NH3

1. 2; 3
2. 3; 2
3. 2; 1
4. 1; 2

Answers

Answer:

2;1  It shows 2 on the reactant side and it doesn't have a 2 next to it in the product side

Step-by-step explanation:

sorry if that didnt help you

HELP ASAP!!! I need help with 2 problems so please help me!! Don’t ask dumb questions to get points, be kind and help me!!

Answers

It’s -2a then you bring down the +3 and then you at 7+3= 10 and you divide 2a

Which of these strategies would eliminate a variable in the system of equations?
2x + 3y = -5
2x – 3y = 10
Choose all answers that apply:

Answers

It’s A and C

Step-by-step explanation:

Subtract the bottom equation from the top equation/ and add the equations

A lawnmower that regularly sells for $150 is on sale for $120. The price was decreased by percent.

Answers

Step 1:

Let us first find the decrease in amount.

Decrease in amount = 150 -120 = $30

Step 2:

Now let us find the ratio of decrease in price to original price.

So the ratio is 1/5 or in decimal its 0.2.

Step 3:

To find percentage decrease we change this decimal number 0.2 two places to the right side, so it becomes 20 %

 The price decreased by 20%

An online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?

Answers

For both plans the same is $85
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