Ruben and his friends are celebrating Ruben's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Ruben's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Ruben's party.

Answers

Answer 1

The number of kids that are at Ruben's party will be 8 kids.

Let the number of kids at the party be represented by x.Number of arcades token given to each person = 18Total number of arcade tokens given out = 144

Based on the information given, the equation to solve the question will be:

18 × x = 144

18x = 144

x = 144/18

x = 8

Therefore, there are 8 kids at the party.

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Related Questions

The price of a flash drive that regularly sells for $16 is increased by 15%. Write two different expressions to find the new price.

Two expressions please! I can't figure any out on my own... :(

Answers

Answer:

16 × .15 and 16 × 15/100

Step-by-step explanation:

...

jamal plans to save for a new scooter that costs 48 dollars. the sales tax rate is 5% how much will jamal need to save

Answers

50.40 is the answer

8xy^3*xy ^8 plsssssssssssssssssssss help

Answers

Answer:

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

Step-by-step explanation:

(8x • (y^3)) +  x • (x - y)^3

2^3xy^3 +  x • (x - y)^3

Evaluate :  (x-y)^3   =   x^3-3x^2y+3xy^2-y^3

Pull out like factors :

x^4 - 3x^3y + 3x^2y^2 + 7xy^3  =

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube

an algebraic expression that represents the product of r cubed and one hundred seven.

Answers

Answer:

107r³

Step-by-step explanation:

Why do you subtract when money is withdrawn

Answers

Answer:

You subtract because you're taking away money when you're withdrawing.

Answer:

Because withdrawal means taking out money from a total amount of money. That is we take away.

need help on proportions question urgently!!!!!!

Answers

Answer:

SSS~

RQP

Step-by-step explanation:

36/15 = 2.4

48/20 = 2.4

72/30 = 2.4

Triangles are similar by SSS~.

triangle JKL is similar to triangle RQP

write the equation through the points (0,9) and (5,13)

Answers

Answer:

4x-5y+45=0.

Step-by-step explanation:

1) formula is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

2) if point A is (0;9) and point B is (5;13), then:

[tex]\frac{x}{5} =\frac{y-9}{13-9}; \ => \frac{x}{5} =\frac{y-9}{4}; \ => \ 4x-5y+45=0.[/tex]

If a student (represented by initials) was chosen at random, find P(HH|C').
P(HH|C') = 3/5
P(HH|C') = 1/2
P(HH|C') = 2/5
P(HH|C') = 9/16

Answers

Answer: the answer is P(HHlC') = 1/2

Step-by-step explanation:

Which of the following is a Platonic solid?
A torus
B. sphere
C. tetrahedron
D. cylinder

Answers

Answer:

c. tetrahedron

Step-by-step explanation:

What are the two solutions of the equation x² – 14x - 32 = 0?​

Answers

HI how was your day today

Determine the inverse of the function f (x) = 3(x − 4)^2 + 5.

Answers

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

What is the inverse of a function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].

According to the given equation.

We have a function.

[tex]f(x) = 3(x-4)^{2} +5[/tex]

The above function can be written as

[tex]y = 3(x-4)^{2} +5[/tex]

Write the above function for x.

[tex]\implies y -5 = 3(x-4)^{2}[/tex]

[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]

[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]

Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].

We get

[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]

Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

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What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
a. 0, 2, 9, 10
b. 0, 2, 4, 10
c. 0, 4, 9, 10
d. 0, 4, 5, 10

Answers

Answer:

The domain is the set of all the values of x .

The range is the set of all the values of y.

Domain:

{0,4,5,10}

Range:

{4,9,2}

Step-by-step explanation:

your answer is is from an algebra solver called mathwey but an a instead of  an e it solves everything i promise i use it all the time

Solve for x
15/18 = x/126

Second question.
Vons sells coke in 2 different packs. is it a better buy to buy 12 cans for $4 or 36 cans for $11.50?

Third question.
A circle's circumference is 43.96 cm. what is the length of the circles diameter?

Answers

Answer:

1. x=105

2. 12 cans for $4

3. 14

Step-by-step explanation:

1. 15/18 = x/126

126/18=7

x=15*7=105

2. 12 cans for $4.  36 for $11.50.  

36/3=12.  11.50/3=3.8333.  

12 cans for $4 is the better deal because it would be an equal deal if it was 36 for 12:00.  

3. Circumference = pi*d.  Circumference = 43.96.  pi=3.14.  3.14*x=43.96.  x=diameter.  x=14.  diameter = 14

--Explanation to 3.14*x=43.96:

3.14*x=43.96, = 3.14x=43.96

3.14x*100 =43.96*100

314x=4396

314x/314 = 4396/314

x=14

Which shape is simulator shape one

Answers

Answer:

B

Step-by-step explanation:

9x + 7
Verbal
Expression

Answers

Today started off at 7 degrees but every hour increased by 9.

this is algebra 1 id appreciate it if you could help me thx!

Answers

Answer:

Option 4)  y - 1 = -2(x - 0)

Step-by-step explanation:

Given the slope, m = -2, and the y-intercept, (0, 1):

Substitute these values into the following point-slope form:

y - y1 = m(x - x1)

y - 1 = -2(x - 0)  ← This is the point-slope form given the slope, m = -2, and the y-intercept, (0, 1).

Therefore, the correct answer is Option 4: y - 1 = -2(x - 0)



½x - 5 = -6

Which solution makes this equation true?


1. -12

2. -2

Answers

Answer: -2

Let’s try x = -12

1/2(-12) - 5 = -6

PEMDAS says to multiply first

1/2 x -12 = -6

So

-6 - 5 = -6

-6 - 5 = -11 not -6 so it’s not that

Now let’s do x = -2

1/2(-2) - 5 = -6

Again, you multiply first

1/2 x -2 = -1

-1 - 5 = -6 so it works

What is a unit rate $140 for 18 ft.²

Answers

Answer:

$7.78

Step-by-step explanation:

140/18 = 7.78

write the equation of the line parallel to the given line 4x - 2y = 7

Answers

Answer:

2x+y = 3

Step-by-step explanation:

Let's take y=-2x+b through the point (1,1), so we get b is equal to 3. So this is y=-2x+3, so 2x+y=3

3 On Monday, three hundred ninety-three students went on a trip to the zoo. All eight buses were
filled, and nine students had to travel in cars. How many students were in each bus?

Answers

Answer:

48

Step-by-step explanation:

First you would subtract 9 from 393 which is 384 then you would divide the 384 remaining student among the 8 busses which is 48.

Hope this helps.

The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.



What is the unit rate for the distance traveled to the amount of gasoline used?

Enter your answer in the box.

{?} mpg

Answers

9514 1404 393

Answer:

  7 mpg

Step-by-step explanation:

The equation shown on the graph tells you the unit rate is 7. (The unit rate is the coefficient of x.)

The truck travels 7 miles per gallon of gas.

5.) Dynasti works in a department store selling clothes. She makes a guaranteed salary of
$1250 per week and is paid a commission of 15% of her sales. Write an equation to model the
situation
How much money will Dynasti make if she sells $4,000 worth of clothing?

Answers

Answer: y = .15x + 1250

y = weekly salary

x = sales

Step-by-step explanation:

The cost of 2 tables and 3 chairs is $705. If the table costs $40 more than the chair, how much does a table cost?

Answers

Answer:

Step-by-step explanation:

2 tables and 3 chairs is $705

Let t stand for table and c stand for chair

3c + 2t = 705

We are told that the table costs $40 more than the chair, so t = c + 40

Now we can insert this into the equation

3c + 2(c + 40) = 705

The next step is to distribute the 2

3c + 2c + 80 = 705

Then combine like terms

5c + 80 = 705

To get the variable by itself, you have to subtract the 80 from both sides.

5c = 705 - 80

5c = 625

This means that 5 chairs costs $625.

Divided both sides by 5 to isolate the variable

c = 625/5

c = 125

Great, now you know the cost of one chair, $125!

The question is asking how much a table costs, and we know that a table costs $40 more than a chair.

A table costs $125 + $40

A table costs $165

Hope this helps! =)

Write a quadratic function [tex]f[/tex] whose only zero is 12.

Answers

Answer:

f(x) = (x - 12)²

Step-by-step explanation:

If a quadratic function has only one zero, then it has multiplicity of two as it is a second degree polynomial and should have two roots. Since one root is a real number, the second root is also a real number being same as the first number.

The function could be:

f(x) = (x - 12)²

We know the rule for single zero of quadratic equations

[tex]\\ \sf\longmapsto g(x)=(x-n)^2[/tex]

[tex]\\ \sf\longmapsto g(x)=(x-12)^2[/tex]

Done

Answer fasttt please help!!!

Answers

What the question I will answer fast and fix your help

In the diagram below, angle PNO is congruent to angle PQR. RO = 7.1, PQ = 11.1, and PR= 8.9. Find the length of QN. Round your answer to the nearest tenth if necessary. ​

Answers

Answer:

8.9

Step-by-step explanation:

7.1/8.9=Qn/11.1

QN = 8.9

{ Parallel lines divide in proportion to their segments }

The solution is 8.9

The length of the side of the triangle PNO is QN = 8.9

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔPNO

Let the second triangle be ΔPQR

Now , ΔPNO ≅  ΔPQR

And , The corresponding sides of similar triangles are in the same ratio

So , substituting the values in the equation , we get

RO / PR = QN / PQ

On simplifying the equation , we get

7.1 / 8.9 = QN / 11.1

Multiplying both sides of the equation by 11.1 , we get

QN = ( 7.1 x 11.1 ) / 8.9

The value of QN will be

QN = 8.85

Rounding the value of QN to the nearest tenth , we get

QN = 8.9

Therefore , the value of QN is 8.9

Hence , The length of the side of the triangle PNO is QN = 8.9

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Suppose Felipe has 9.24 pounds of seed if it takes 6.6 pounds of seed to plant on acre of grass how many acres of grass can be planted?

Answers

Answer:

1.4 acres of grass can be planted.

Step-by-step explanation:

He has 9.24 pounds of seeds.

If one acre of grass needs 6.6 pounds of seeds we can divide 9.24 pounds by 6.6 pounds to find how many acres of grass he can plant.

9.24 lbs × [tex]\frac{1acre}{6.6 lbs}[/tex] = 1.4 acres

Simplify (Remember to simplify means to write an equivalent expression that uses each variable on')
not have zero or negative exponents.

Answers

Answer:

A) [tex]x^{3} y^{4}[/tex]

B) [tex]-\frac{5x^{2} }{y}[/tex]

C) [tex]9m^{4}n^{4}[/tex]

D)[tex]\frac{1}{x^{3} }[/tex]

Step-by-step explanation:

Hope this helps.

Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º

1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.

Answers

Answer:

1

Step-by-step explanation:

It is the only one that makes sense!

(Apologies since this super late; I hope future students will find this helpful)

Answer:

An angle measures 90º if and only if the angle is right.

Step-by-step explanation:

See the image below :)

An arts academy requires there to be 6 teachers for every 108 students and 3 tutors for every 36 students. students How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 84 students?

Answers

18 students = 1 teacher

13 students = 1 tutor

The academy needs 7 tutors for 84 students.
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