At the movies, children's tickets are $6 each and adult's tickets are $10 each.
Shandra buys 14 tickets. Let a be the number of adults going to the movies. Write
an algebraic expression to represent the total price Shandra pays.

Answers

Answer 1

Answer:

a + c = 14

14(Pa+Pc) = 10a + 6c

224 = 10a + 6c

Step-by-step explanation:

Price of Children's tickets = $6

Price of Adult's tickets = $10

Shandra buys 14 tickets

Let

Number of adults going to the movie = a

Number of children going to the movie = c

Total price shandra pays = PaQa + PcQc

Where,

Pa = price of adult's tickets

Qa = Quantity of adult's tickets

Pc = Price of children's tickets

Qc = Quantity of children's tickets

Total price = 14(Pa+Pc), that is

a + c = 14

14(Pa+Pc) = 10a + 6c

14(10 + 6) = 10a + 6c

140 + 84 = 10a + 6c

224 = 10a + 6c


Related Questions

-12=x-1 Please help need help

Answers

Answer:

x = -11

Step-by-step explanation:

-12 = x - 1

-12 + 1 = x

x = -11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]

[tex] \tt{Step \: 3}[/tex] : Calculate

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]

The value of x = 11

Hope I helped!

Best regards! :D

~TheAnimeGirl

What is the angle of x?

Answers

Answer:

Step-by-step explanation:

There are 540 degrees in a pentagon so take 540-(everything there)= 67


[tex](8 + 4 + 3) + (6 + 5 + 11) = [/tex]

Answers

Answer:

= 37

Step-by-step explanation:

(8+4+3) + (6+5+11)

= 15 + 22

= 37

When dividing two numbers with the same base

Answers

Answer:

you subtract the exponents

Mandy has a piece of ribbon measuring 3.2 m and Cheryl has a piece of ribbon measuring 4.7 m select the point on this number line that represents the ribbon lengths

Answers

Answer:

3.2

Step-by-step explanation:

3.2/1

find the zero of the function h(x) = 4x+2

Answers

I think what you mean here is to have x as 0. So 4(0) +2=2. So your answer is 2

Answer:

[tex]x=-1/2=-0.5[/tex]

Step-by-step explanation:

So we have the function:

[tex]h(x)=4x+2[/tex]

To find the zero(s) of a function, set the function equal to 0 and solve for x. So:

[tex]0=4x+2[/tex]

Subtract 2 from both sides:

[tex]-2=4x[/tex]

Divide both sides by 4:

[tex]x=-1/2=-0.5[/tex]

So, the zero of the function is -0.5.

This means that the graph (a line) crosses the x-axis at (-0.5, 0).

Which is the value of 3b² — b when b = 5?

Answers

Answer:

The answer is

70

Step-by-step explanation:

3b² - b

when b = 5

Substitute the value of b that's 5 into the expression

That's

3(5)² - 5

= 3(25) - 5

= 75 - 5

We have the final answer as

70

Hope this helps you

Simplify this expression.
6m4 n4
12m

Answers

Answer:

18m+n4

Step-by-step explanation:

i think.

Answer: girly im not gonna lie im no mathematician but i came up with 18m  8n i sowy if it's wrong but, you can't blame a girl from trying .

Step-by-step explanation: i combined like terms but im probably still wrong just saying .

A person is trying to quit chewing gum. They decide they will have 64 pieces in week 1, but each week have half as many as the week before. The function f represents the number of pieces of gum they will have in week n. What is a reasonable domain for this function? Explain your reasoning.

Answers

Function is missing.

It is;

f(n) = ½⋅f(n − 1) for n ≥ 2

Answer:

Domain for this function is;

n ≥ 1

Step-by-step explanation:

We are told They decide they will have 64 pieces in week 1,

Thus;

f(1) = 64

From the function given;

f(n) = ½⋅f(n − 1)

So;

f(2) = ½•f(2 - 1)

f(2) = ½•f(1)

f(2) = ½ • 64

f(2) = 32

Also;

f(3) = ½•f(3 - 1)

f(3) = ½•f(2)

f(3) = ½ × 32 = 16

Looking at the steps, they follow a general pattern of;

f(n) = 64•½^(n - 1) for n ≥ 1

Thus, the domain for the function for n weeks after the first one is n ≥ 1

What property is m+7=7+m

Answers

Answer:

           Commutative property

Step-by-step explanation:

The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.

If 3.x - 7 = 5, then 2x – 1=?

Answers

Answer: -2

Step-by-step explanation:

x-7/4 =-2 I need helpp

Answers

Answer:

x = -1

Step-by-step explanation:

x-7/4=-2

x-7=-8

x=-1

Please help me to prove this!​

Answers

Answer:  see proof below

Step-by-step explanation:

Given: A + B = C                → A = C - B

                                          → B = C - A

Use the Double Angle Identity:     cos 2A = 2 cos² A - 1

                                             → (cos 2A + 1)/2 = cos² A

Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · 2 cos [(A - B)/2]

Use Even/Odd Identity: cos (-A) = cos (A)

Proof LHS → RHS:

LHS:                     cos² A + cos² B + cos² C

[tex]\text{Double Angle:}\qquad \dfrac{\cos 2A+1}{2}+\dfrac{\cos 2B+1}{2}+\cos^2 C\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg(2+\cos 2A+\cos 2B\bigg)+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\dfrac{1}{2}\bigg(\cos 2A+\cos 2B\bigg)+\cos^2 C[/tex]

[tex]\text{Sum to Product:}\quad 1+\dfrac{1}{2}\bigg[2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A-2B}{2}\bigg)\bigg]+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\cos (A+B)\cdot \cos (A-B)+\cos^2 C[/tex]

[tex]\text{Given:}\qquad \qquad 1+\cos C\cdot \cos (A-B)+\cos^2C[/tex]

[tex]\text{Factor:}\qquad \qquad 1+\cos C[\cos (A-B)+\cos C][/tex]

[tex]\text{Sum to Product:}\quad 1+\cos C\bigg[2\cos \bigg(\dfrac{A-B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+(C-B)}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-(C-A)}{2}\bigg)[/tex]

[tex]\text{Given:}\qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+A}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-B}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1+2\cos C \cdot \cos A\cdot \cos (-B)[/tex]

[tex]\text{Even/Odd:}\qquad \qquad 1+2\cos C \cdot \cos A\cdot \cos B\\\\\\.\qquad \qquad \qquad \quad =1+2\cos A \cdot \cos B\cdot \cos C[/tex]

LHS = RHS: 1 + 2 cos A · cos B · cos C = 1 + 2 cos A · cos B · cos C   [tex]\checkmark[/tex]

a group of 4 students needs to share 20 paper clips equally. how many paper clip does each students get

Answers

Answer:

5 paper clips each

Step-by-step explanation:

20/4 = 5

Answer:

They each get 5

Step-by-step explanation:

what is 91,007,500 in scientific notation?

Answers

Answer:

Step-by-step explanation:

the scientific notation of 91,007,500

9.10075 x 10^7

Factorize completely
- 3a² + 4a + 4

Answers

Answer step-by-step:

Marlene brought a pitcher filled with 10 cups of water to her volleyball game. The paper cups she brought hold Two-thirds of a cup of water each. How many paper cups can Marlene fill with water?

Which math sentence represents the problem?

Two-thirds divided by 10 = 20/30=1/15
10 divided by two-thirds = 30/2=15
10 divided by three-halves = 20/3] 6 and two-thirds
1/10 divided by two-thirds = 3/20

Answers

Marlene needs 15 paper cups to fill with water

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Since each paper cups can hold Two-thirds of a cup of water, hence to hold 10 cups of water:

Number of water cups = 10 cups / (two- thirds) = 10 * 3 / 2 = 15

Marlene needs 15 paper cups to fill with water.

Find out more on equation at: https://brainly.com/question/2972832

Answer: The answer is B

Step-by-step explanation: got it right on e2020

Please help me!! What is the value of???

-4×3
12÷(-6)???

Answers

Answer:

-4x3=12

12÷-6=-2

hope this helps

Point A is located at (−5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A'. Which measurement is closest to the distance between point A and point A' in units?

Answers

Answer:C) 4.5 units

Step-by-step explanation:

Find the midpoint of the segment with the given endpoints
(- 4.7) and (-1,-1)
The midpoint is?

Answers

(X1+X2 Y1+Y2 ) = midpoint
——— , ——-
2 2



So -4= X1
7= Y1
-1= X2
-1= Y2

Plug those in

-4+-1 7+-1
———, ———-
2 2

Simplified

-5
( —, 3)
2

Pls help me out and follow the steps

Answers

Answer:

4w + 3 = 2w + 7

-[2w]      -2w

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

2w + 3 = 7

       -3   -[3]

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

2w  =  [4]

2w =  4

----    ----

2      [2]

w = [2]

Use the ALEKS calculator to find 48% of 70. Do not round your answer.

Answers

Answer:

its 28

Step-by-step explanation:

hope this helps also u have to divide 70 divided by 48% in order to get 28

PLEASE HELP ALGEBRA 2!!!

Answers

Step-by-step explanation:

-4.5x -2y = -12.5 -------(1)

3.25x -y = -0.75 --------(2)

From (2) we can make y the subject of the relation

y = 0.75+3.25x -------(3)

Input 0.75+3.25x into y in (1)

-4.5x -2(0.75+3.25x) = -12.5

-4.5x -1.5- 6.5x = -12.5

-4.5x -6.5x -1.5 = -12.5

-11x = -12.5 +1.5

-11x = -11

x = 11/11

x = 1

If x = 1,substitute 1 into x in (3)

y = 0.75+3.25x

y = 0.75 +3.25(1)

y = 0.75 +3.25

y = 4

x = 1,y = 4

What is the domain of the function shown on the graph?
A. -10 < x < 2
B. x ≤ 1
C. -∞ < x < ∞
D. x ≤ 2

Answers

Answer:

C. -∞ < x < ∞

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values can be any number. Therefore, we have all real numbers as our domain:

(-∞, ∞) or -∞ < x < ∞

Answer:

C. -∞ < x < ∞

Step-by-step explanation:

Plato

Write a linear function given in the table below. Use function notation.

Answers

First, let's choose two points from the table to solve for our slope.

(0, -1) and (1, 4)

Slope = (4 -(-1)) / (1 - 0) = 5/1 = 5

The slope of our line is equal to 5

So far we have y = 5x + b

To solve for be, we need to plug one of our points into the equation.

-1 = 5(0) + b

Simplify

-1 = b

So, our equation: y = 5x -1

Please help me ASAP ​

Answers

Answer:

Step-by-step explanation:

Base 5 uses 0, 1 , 2, 3, 4

When we add 2+ 1 = 3

When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1

4 + 3= 12

In subtraction, 32 - 4

From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.

7-4=3

32 -4 = 23

I have attached the sums

57 toys are split into groups of 4 toys. What question do we need to answer here? please don't give wrong answers this test is already missing so plssss help!

Answers

Answer:

There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys

Step-by-step explanation:

57 toys divided into groups of 4 toys.

57/4= 14.25 or 14 1/4 GROUPs

Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.

The parabola opens downwards since a=____ and this value is _____ 0.

The choices for the second blank question are:
-less than
-greater than
-equal to

Answers

g(x) = -(x + 1)^2 - 3

Let's simplify this equation

g(x) = -(x^2 + 2x + 1) - 3

Distribute the negative sign

g(x) = -x^2 - 2x + 1 - 3

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0

if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___​

Answers

Answer:

Step-by-step explanation:

g(x^2 + 2x - 4)

3(x^2 + 2x - 4) + 1

3x^2 + 6x - 12 + 1

3x^2 + 6x - 11

Translate into a verbal expression:
3x - 2

Answers

Answer:

three times a number minus two

Step-by-step explanation:

x= times a number

Other Questions
Black walnut trees produce a nontoxic chemical that becomes highly toxic when it is exposed to air or soil. How does this chemical help black walnut trees compete with plants growing nearby? Doctors party formed the ACS America Cancer Society In the month of November, Terpak Industries had the following overhead costs. 1. Property taxes, $22,500 ($10,000 for offices, $12,500 for factory) 2. Insurance, $14,380 ($3,140 for office building insurance, $7,240 for accidental injury insurance on factory workers, $4,000 for factory building insurance) 3. Utilities, $1,843 ($1,200 for factory, $643 for offices) 4. Depreciation, $47,000 ($15,400 for factory equipment, $19,000 for factory building, $12,600 for office building) How much will Terpak debit their Manufacturing Overhead account on November 30 Part of Roosevelt's argument is that the country is facing serious problems. In which sentence does Roosevelt attribute the nation's problems to progress? Is condensation phyiscal change What is the problem on animal farm chapter 10? Radar detectors use radio waves to measure the speed of movingvehicles. Radar detectors have a wavelength of 1.8 meters. What is the frequency of waves from a radar detector? Dont worry about the Alex / Shes all bark and no bite. I NEED HELP NOW!!!!!!Find the area of each shaded region. Show your reasoning.LABdUsing the strategiespreviously discussed(decomposing andcomposing), find thearea of the threeshaded figures below.Remember that youcan count the squaresas your easieststrategy,but I would like foryou to use amathematicalstrategy to find thearea of the shadedregions. Beware ofthe squares in FigureC that are not wholeunits. The price of a ring was increased by 30% to 325. What was the price before the increase?Please answer asap!! Find the distance between the point (-8,2) and (6,-1) Find and interpret the slope of the line containing the given points. (0,20) and (-8,0) help me please!!!!!!! Please help me brainiest is award Which sentence contribute to the reader understanding that Kevin was a hero Find the solutions to the equation -6y (5y + 9) = 0. From which psychological perspective would a psychologist suggest medication or surgery to modify or change behavior?Question 17 options:cognitiveevolutionaryneurobiologicalstructuralism Function h is a transformation of the parent exponential function, $(=) = 2*h(t) = -3 2-Which statement is true?O AFunction h is a horizontal translation of function f.OB.Function h is a reflection and a translation of function f.C.Function h is a vertical translation of function f.D.Function his a reflection and a dilation of function f. What does FREEDOM mean to you? Write in NO LESS THAN 4 Sentences. WILL GIVE BRAINLIEST What text evidence showshow Old Man Warner feelsabout the lottery?