Xander goes to the movies with his soccer team. Each team member buys a ticket and two

boxes of popcorn. There are 13 team members.

Let t represent the cost of a ticket and p represent the cost of a box of popcorn.

a) Write two different expressions that represent the total amount the team spent.

b) Explain how each expression describes the situation in a different way.

Answers

Answer 1

Given that, the cost of a ticket = t and

cost of a box of popcorn =  p.

Total members in the team = 13

As each team member buys 1 ticket and 2  boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]

So, the total amount that the team spent [tex]= 13C_1[/tex]

(a) So, the first expression, representing the total amount spent by the team, is

[tex]13\times (t+2p)\cdots(i)[/tex]

On simplification, the second expression, representing the total amount spent by the team, is

[tex]13\timest + 13\times (2p)[/tex]

[tex]=13t+26p\cdots(ii)[/tex]

(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn


Related Questions

i need help pleaseee❤️

Answers

Answer:

A"(2,11) B"(0,5) C" (4,3)

Step-by-step explanation:

You go to the store and notice the people standing in line. 7 adults and 4 children. If this ratio stays the same and there 55 people in the store. how many would be children?​

Answers

Answer:

20

Step-by-step explanation:

7+4=11

11*5= 55

4*5=20 :)

The number of children and adults will be 35 and 20, respectively.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

You go into the store and observe the folks in queue. There are 7 adults and 4 children. If this ratio remains constant and there are 55 people in the store.

7x / 4x = constant

Then the equation is given below.

7x + 4x = 55

11x = 55

x = 11

Then the number of adults is given as,

7x = 7 (5) = 35

Then the number of children is given as,

4x = 4 (5) = 20

The number of children and adults will be 35 and 20, respectively.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

if you can choose one scoop of ice cream and one topping, how many different sundaes can you make?

Answers

Answer:

I believe there is something wrong with ur question.

It's 2 one with a topping and one with out

Which step can you use to solve the equation first -5+p=4?

Answers

Answer:

Step-by-step explanation:

You have to do the opposite of the firs t one. You are going to add 5 to the four to get

p = 9. There is your answer!  Add on both sides!

Answer:

add 5 to both sides of the equal sign

Step-by-step explanation:

the answer will be p=9

Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t

Answers

Answer:

B

Step-by-step explanation:

Have a good day!

Order 2/3, 2/9, 5/6, 11/18 from least to greatest.

Answers

Answer:

2/9, 2/3, 8/11, 5/6.

What is the horizontal asymptote of the function f(x)=2x−5?
Enter your answer as a number, like this: 42

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

I just took the test and this was correct

Determine whether the lines through each pair of points are parallel, perpendicular, or neither.

Line 1: (7, 6), (3, 18)
Line 2: (-2, -7), (-4, -1)

Answers

Answer:

line 1: neither

line 2: parallel

Step-by-step explanation:

(2x^4 + 3x^3 – 5x - 19)+(x^2 + 1)

Answers

Answer:

2x  4  +3x 3  +x  2  −5x−18

Step-by-step explanation:

What is the answer to this question?

Answers

Bottom left
I might be wrong

Answer:

Multiple 234 denomitor to that

Step-by-step explanation:

!!!!

Please help ASAP!!!!

Answers

a negative times a negative is a positive, and a negative times a positive is equal to a negative. I’ve never used that program so if that what u need help with sorryyy

Find the volume of the cylinder with the info below.
Distance from center to edge: 3 feet
Side length of the cylinder: 5 feet
Please help me out! I promise I will mark brainliest!

Answers

Answer: 141.3 in

1. V = πrh

2. V = (3.14)([tex]3^{2}[/tex])(5)

3. V = 141.3 in.

Hope this answer helps you!

What can you triple and then subtract by 1 to get 29

Answers

Answer:

10 would be the answer :)

find the slopes of the linear equations

Answers

Answer:

m is the slope.

b is the y intercept.

slope intercept is in the form: y = mx + b.

y - 4 = 3 (x - 2) [m = 3] [slope is 3]

y = 3/4x - 7 [m = 3/4] [slope is 3/4]

y + 8 = -6 (x - 1) [m = -6] [slope is -6]

y = -5x + 10 [m = -5] [slope is -5]

4x + 5y = 20 [m = -4/5] [slope is -4/5]

Explanation:

For all of these equations, make sure they are all in slope intercept form by isolating y completely, and getting it on the left side of the equation.

y - 4 = 3 (x - 2) → y - 4 = 3x - 6 → y = 3x - 2 → y = mx + b.y = 3/4x - 7 → y = mx + by + 8 = -6 (x - 1) → y + 8 = -6x + 1 →. y = -6x - 7 → y = mx + by = -5x + 10 → y = mx + b4x + 5y = 20 → 5y = -4x + 20 → y = -4/5x + 4 → y = mx + b

3. The temperature is 3°C below zero.​

Answers

Answer:-3

Step-by-step explanation:

If the temp is 3 below 0 then it’s 0-3 so it’s -3°C

True or False: When comparing and ordering scientific notation we look at the exponent first​

Answers

Answer:

f

Step-by-step explanation:

base

Answer:

True, You need to compare the exponents first because the exponent represents place value.

Step-by-step explanation:

Hope this Helps!

Plz Mark Brainliest!

If f(x)=4^x-8 and g(x) =5x+6, find (f+g)(x)

Answers

Answer:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), then

f(x) + g(x)

= [tex]4^{x}[/tex] - 8 + 5x + 6 ← collect like terms

= [tex]4^{x}[/tex] + 5x - 2 → C

(f+g)(x)=f(x)+g(x)=4^x-8+5x+6=4^x-2+5 or 4^x+5x-2 answer is C

PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.

Answers

Answer: 25 I believe

Answer:

  25

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . for a≠0

__

  [tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]

Solve absolute value equation 2|x-3|-8=2

Answers

Answer:

[tex]x=8, -2[/tex]

Step-by-step explanation:

[tex]2|x-3|-8=2[/tex]

[tex]2|x-3|=10[/tex]

[tex]|x-3|=5[/tex]                               [tex]|x-3|=-5[/tex]

[tex]x-3=5[/tex]                                [tex]x-3=-5[/tex]

[tex]x=8[/tex]                                      [tex]x=-2[/tex]

Identify the y-intercept

A. 0-2
B. 0-3
C. 0-4
D. 6-2

Answers

C. 0-4

Explanation: the line hits the y-axis at the point (0,4)

What are the values of x and y if this equation is true?

22(x + yi) + (28 + 4i) 72 – 62i

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.

HURRY I'M TIMED!!



What is the quotient? -4/5 divided bye 2

Answers

Answer:

-0.4

Step-by-step explanation:

Good luck!

PLEASE ANWSER
POR FAVOR

Answers

Sorry the picture won't load for me I'm not sure if it's just my wifi.

If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show

Answers

Answer:

3.125 pounds

Step-by-step explanation:

Digital scale would show weights in decimal form

3 1/8 = 3.125 pounds

A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?

Answers

Answer:

The answer is 145 ceramic tiles

Step-by-step explanation:

$4 Divided by $581.82 = 145.455

You want to order Chiken nuggets for you and your friends . You want to know how much to pay for 5 orders of chicken nuggets if each order is$2

Answers

Answer:

10$

Step-by-step explanation:

just because

Answer:

$10

Step-by-step explanation:

What we know: you want to pay for 5 order of chicken nuggets.

Each order is $2

So...

5 orders of nuggies × $2

Total: $10 for nuggies

Help me. 1,2,3, and 4 are the only options for all letters so there is no lack of information in this picture.

Answers

Answer:

Step-by-step explanation:

a: 2

b: 4

c: 3

d: 4

e: 6

Find the midpoint of the segment with the given endpoints.
(0,0) and (6.-8)

Answers

The midpoint of the segment should be (3, -4)

A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% ​, find the price of the television set before taxes.

Answers

Answer:

399.84

Step-by-step explanation:

408.00 x .98 (2% reduction from 100) = 399.84

13 and 5/8 plus 7/8 please answer quickly

Answers

13 5/8 + 7/8 = 14 1/2

5/8 + 7/8 = 1 4/8 = 1 1/2

1 1/2 + 13 = 14 1/2

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