Tickets for the school play cost $7 each. Each member of the cast gets 1 free ticket for a family member. For the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. The equation that models this situation is7(210 – c) = 1,358 where c is the number of cast members. How many cast members are in the play?

Answers

Answer 1

Answer:

there are 16 cast members.

Step-by-step explanation:

7(210-c)=1358 multiply everything in the parentheses by 7

1470-cx=1358

-7c=-112 subtract 1470 from both sides

c=16 divide -112 by -7

c=16


Related Questions

Write a justification for each step...

Answers

1. Expand the bracket
2. Subtract 4x
3. Add 3
4. Value of x is shown

5. Substitute values in
6. Expand the bracket
7. Group values
8. Subtract 3n
9. Divide by 2
10. Value of n is shown

Which equation is represented by the graph below?

Answers

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

One number is 2 times another. The sum of their reciprocals is 6. Find the numbers.
The numbers are

Answers

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

What is the domain of the function in this table

Answers

The main fuction is mulitiply by 2 each 1 point

Step-by-step explanation:

SOMEONE PLEASE HELP DUE IN 3 MINS

is this right? ​

Answers

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

It’s 1 and 2. 11x11= 121. And -11x-11=121

True or False?
2^3 < 3^2​

Answers

Answer:

True

Step-by-step explanation:

[tex]2^{3} <3^{2} \\2*2*2<3*3\\8<9[/tex]

Answer:

True

Step-by-step explanation:

Find the third, fifth, and tenth terms of the sequence described by the rule.
A(n)= -5+ (n - 1)(6)
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)

Answers

A(3)= 6
A(5)= -19
A(10)= -49

PLEASE HELP ME I ONLY HAVE 10 MINS TO FINISH ALL MY ASSIMENTS, WILL GIVE BRAINLIEST AND 15 POINTS
question:The baseball infield has an area of 90^2 square feet. What is the area of the infield?

Answers

Answer:

8100 square feet

Step-by-step explanation:

The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?​

Answers

Answer:

It's simple. All you need to do is subtract 2 from 40.

Length: 40 ft

Width: 38 ft

Hopefully that helped! :)

Step-by-step explanation:

What is the nth term rule of the linear sequence
6,13,20,27,34?

Answers

Answer:

62

Step-by-step explanation:

Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?

Answers

4x+3y=85.5
3x+5y=115
Combine it
X=7.5 y=18.5

Sophie bikes s miles per hour. Her friend, Rana, is slower. Rana bikes r miles per hour.
c
Rana and Sophie went for a 20-mile bike ride today. Each girl biked at her usual speed. How long did Sophie wait for Rana at the end of the route?

Answers

Answer:

C x 20 + R x 20

Step-by-step explanation:

C x 20 + R x 20 or

20c + 20r

Find the area of the circle.

Answers

Answer:

8.938

Step-by-step explanation:

Answer:

dont at me if its wrong but i think its the second one

Step-by-step explanation:

The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?

Answers

Answer:

6560lbs

Step-by-step explanation:

The price of a DVD is $24.00 plus 8% sales tax.What is the sales tax on this DVD in dollars and cents?
A) 25
B) 0.8
C) 1.92
D) 30

Answers

Answer:

Your answer is C) 1.92

Hope this helps ^_^

Answer:

Sales tax is $1.92 or 192 cents.

Step-by-step explanation:

Given the price of a DVD is $24.00 plus 8% sales tax.

we have to find the sales tax on this DVD in dollars and cents.

The sales tax is 8% can be calculated as

8/100 X $24

1.92

In cents

as one dollar equals 100 cents

∴ 1.92 dollar = $1.92 = 192 cents

Hence, sales tax is $1.92 or 192 cents.

So your answer is C!!

Find all multiples of 6 that are less than 40

Answers

Multiply 6 by numbers 1 -6:

To get:

6, 12, 18, 24, 30,36

2, 3, 4, 5, 6- if that’s what you meant


[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]

Answers

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

Find the value of missing angles

Answers

90 + 2x + 1 + 5x + 5 = 180

7x + 96 = 180
7x = 84
X = 12

How can we get Equation B from Equation A?

3(x+2)=18
x+2=18

i need them solved aswell

Answers

Answer:

x = 4

Step-by-step explanation:

A:3(x+2)=18

Divide each side by 3

3/3(x+2)=18/3

x+2 = 6

This is the same equation as equation B

They will have the same solution since they are the same equation

x+2-2 = 6-2

x = 4

(not my answer)

I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.

Answers

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

BD bisects m m Find m

Answers

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

Consider the equations shown: ax + by = ab & 2ax + 3by = 3b

Which of these is the value of y in terms of a?

Option 1 : y = 3a – 35

Option 2 : y = 2ab – 3b

Option 3 : y = 9a – 35

Option 4: y = 3 – 2a

Answers

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

[tex]y=3-2a[/tex]

ABC is reflected over the x-axis what will be the coordinates of c (-3, - 1)
(-1,-3) (1-3) (3,1)

Answers

Answer:

(-3,1)

Step-by-step explanation:

(x,y)---->(x,-y)

(-3,-1)--->(-3,1)

Express the tangent of

Answers

Answer:

Step-by-step explanation:

TANGERINES

Answer:

of what ? finish the question

(9,-8) and (9,6) and determine the equation of the line.

Answers

Answer:

The answer is undefined.

Step-by-step explanation:

The x will never change, no matter what the y is, so the answer will always be undefined.

Solve the equation
5(4+t) = 5t + 20

Answers

the answer is T=0 or 0
=
0

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

Solve for x plz.I need

Answers

Answer:

Step-by-step explanation:

xc = ab

x = ab/c

Answer:

x=ab/c

Step-by-step explanation:

x/a=b/c

Write a linear function f with f(0) = 2 and f(2)=4.
f(x) =

Answers

Answer:

f(x) = x + 2

Step-by-step explanation:

(0, 2)

(2, 4)

Slope m = (4 - 2) / (2 - 0) = 1

y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.

9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.

0.40
0.72
1.15
2.14

Answers

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?

Answers

Answer:

450 Km

Step-by-step explanation:

90 Km/hr x 5 hr = 450 Km

I hope this helped and good luck!

Answer: Distance= 450km

Step-by-step explanation:

90 times 5= 450

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