#30 Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected. Let x represent the number of tickets sold at the door.

In terms of x. how many tickets were sold in advance?

Answers

Answer 1

Answer:

170 tickets were sold in advance

Step-by-step explanation:

Let x represent the = number of tickets sold at the door.

Let y represent the = number of tickets sold in advance

Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected.

Hence, we have two equations

x + y = 400 tickets

$3 × x + $2 × y = $1,030

x + y = 400.... Equation 1

x = 400 - y

3x + 2y = 1030........ Equation 2

Substitute 400 - y for x in Equation 2

3(400 - y) + 2y = 1030

1200 - 3y + 2y = 1030

Collect like terms

-y = 1030 -1200

-y = -170

y = 170

Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.


Related Questions

Logan went shopping at the mall. He spent $75.43 on shoes, $25.14 for a t‐shirt, and $43.85 on a denim jacket. How much did he spend in all? If Logan paid the cashier $200 in cash, how much money will he get back? *

Answers

Answer:

He spent 144.42   and he got back 55.58

Step-by-step explanation:

Which scale factors produce a contraction under a dilation of the original image?

Select each correct answer.


−1.8

−0.8

0.8

1.8

Answers

Answer:

-0.8 and 0.8

Step-by-step explanation:

Answer:

I beleive the answer is -.8 and 0.8

Have A great rest of your day :)

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb. How many boxes of books can the delivery person bring up at one​ time?

Answers

Answer:

17.83 boxes

Step-by-step explanation:

Lets represent the number of boxes of books that can be brought up per time = x

From the question: The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb.

Hence we have the Algebraic Expressions

170lb + 60 × x = 1240lb

170lb + 60x = 1240lb

Collect like terms

60x = 1240lb - 170lb

60x = 1070lb

x = 1070lb/60

x = 17.833333333

x = 17.83 boxes

Therefore, the delivery person can bring up 17.83 boxes per time

Simplify: (3x2 - 4x+6) + (7x-2)
OA. 3x2 + 3x + 4
OB. 3x2-11X-8
OC. 3x2 + 11x + 4
OD.
10.x2 - 6x + 6

Answers

Answer:

3x^(2)+3x+4

Step-by-step explanation:

Answer:

[tex]3x^{2} +3x+4[/tex]

Step-by-step explanation:

1.)Remove the parentheses [tex]3x^{2}-4x+6+7x-2[/tex]

2.)Group like terms

3.)Add similar elements -4x-7x=3x = [tex]3x^{2}+3x+6-2[/tex]

4,)Add/Subtract the numbers 6-2=4

5.)[tex]=3x^{2} +3x+4[/tex]

:)Hope you enjoy this:)

Given the parent function f(x) on the left below, which graph could represent g(x) = -f(x) -2

Answers

Answer:

A

Step-by-step explanation:

To do this, you look at each point. What -f(x) means is that you flip the function over the x axis. In this case, c doesn't work. Then, you have to look at the -2 term. That means that the entire function, all the points, are shifted 2 units down. The image isn't very clear for me but I am pretty sure it is A.

Alan makes a fruit salad using strawberries and blueberries. He uses 5 cups of strawberries for every 3 cups of blueberries. Which measure represents the amount of strawberries Alan uses for every 1 cup of fruit salad? A. 3/8 cup B. 3/5 cup C. 5/8 cup D. 5/3 cup PLEASE HURRY I NEED THIS.

Answers

Answer:

C. 5/8 cup

Step-by-step explanation:

5 + 3 = 8Strawberries/total amount = 5/8

I hope this helps!

Teacher says im wrong

Answers

Answer:

121

Step-by-step explanation:

Find the slope of the line whose equation is
2x - 4y = 8.

A. -4
B. 7
C. -1/2
D. 1/2

Answers

Answer:

D)

Step-by-step explanation:

pls explain it,,,,,,,,,,,,

Answers

Answer:

B. not a function

Step-by-step explanation:

y has 2 solutions: +√1-6x and -√1-6x

For y to be a function, it should only have one solution. That's why y is not a function.

Hope it will help :)

How many group's of 10 are there in 230?​

Answers

Answer:

the answer is 23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

if you do 230 divided by 10 you get 23, or you can distribute 230 in 10 groups.

The graph below is a function.

True or false?

Answers

Answer:

true!

Step-by-step explanation:

hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.

Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.
g(x) =

Answers

Answer:

g(x)= x2

Step-by-step explanation:

g(x)=x2 = f(x)=x2

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of [tex]\rm f(x) = (x-1)^2[/tex] then the function  [tex]\rm g(x) = 2(x+4)^2[/tex].

Given :

[tex]f(x) = x^2-2x+1[/tex]The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  [tex]f(x) = x^2-2x+1[/tex].

The following steps can be used to determine the rule for g:

Step 1 - Rewrite the given function f(x).

[tex]\rm f(x) = (x-1)^2[/tex]

Step 2 - Now, the graph is stretched vertically by a factor of 2.

[tex]= 2(x-1)^2[/tex]

Step 3 - Now, reflect the graph about the y-axis.

[tex]=2(-x-1)^2[/tex]

[tex]=2(x+1)^2[/tex]

Step 4 - Now, move to the left by 3 units.

[tex]=2(x+3+1)^2[/tex]

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

Therefore, the function [tex]\rm g(x) = 2(x+4)^2[/tex].

For more information, refer to the link given below:

https://brainly.com/question/20381610

The area of a square is 77 square feet.
What is the approximate length of each
side of the square?
SIDE LENGTH=?FEET
PLEASE HELPPPP
100 Points

Answers

Answer:

8.8 cm , but not sure.....

Thank you ☺️

The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds let the speed, S, be measured in feet per second. True or false: the equation

Answers

Answer:

True the speed S in in Feet/second

Step-by-step explanation:

In this problem we are required to solve for the speed of an object.

given that the expression to solve for the speed is expressed as

speed= distance/time

given data

distance=100 feet

time=2.5 seconds

substituting our given data into the expression we can solve for speed as

speed (S)=100/2.5

S= 40feet/seconds

upon substituting our data the speed S was found to be 40feet/s

True the speed S in in Feet/second

Jackie plays football for the New England Patriots. During the second quarter, Jackie carried the ball 2 times. He gained four yards during the first carry and lost seven yards during the second. HOw many total yards did he gain during the second quarter?

Answers

Answer:

Actually he lost 3 yards.

It means he gained -3 yards.

Step-by-step explanation:

During second quarter, Jackie carried the ball 2 times. He gained 4 yards during first carry.

He lost 7 on second carry.

He gained = 4-7 =-3 yards

Is the difference of 18 and 3 a rational number?

Answers

Answer:

it is a whole number but because rational numbers include all intergers and whole numbers it is also a rational number

Step-by-step explanation:

The difference of 18 and 3 would be 18-3 which is 15. 15 is a rational number. It is an integer, and all integers are rational numbers.

The regular price of a baseball hat is $16.85. If Emesto buys the baseball hat on sale for 20% off the regular price, how much change will be
receive after paying with $20?

Answers

Answer:

$ 6.52

Step-by-step explanation:

marked price =16.85

discount 20%=3.37

net payable .=.13.48

Amount paid==$ 20

payable .=====13.48

balance to receive=$ 6.52  

52
If
169
289
, then the value of x is:
58
Ο Ο
b. 52
o
c. 68​

Answers

Answer:

Sorry,didn't understand your question..

btw thanks for free points

[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺thanks}}}}}}}}}}}}}[/tex]

Answer:

b

Step-by-step explanation:

-5(c-2)=20-5c+10
help please

Answers

Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

what is 27x18= i dont know it

Answers

The answer is 486. (You can type into a calculator, and if you don’t have a physical one you can always search for an online calculator.)

Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!


Write an equation for the line that passes through the points (3,5) and (-2, 1).

All work must be shown for full credit. Be sure to include slope calculation.

Answers

Answer:

[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (3,5) and (-2,1):

[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]

The equation is now:

[tex]\displaystyle y=\frac{4}{5}x+b[/tex]

To calculate b, we use any of the given points and solve for b. Use (3,5):

[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]

Operate:

[tex]\displaystyle 5=\frac{12}{5}+b[/tex]

Solve:

[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]

The required equation of the line is:

[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]

Is the sequence below arithmetic or
geometric? Solve for the Q18.
{4, 11,
18, 25,... }

Answers

Answer:

arithmetic

I am not sure what solve for the Q18 is

Step-by-step explanation:

4+7=11

11+7=18

18+7=25

8/2(2+2)
What is the answer if still yet to figure it out completely because of my friends

Answers

The answer is 16 hope this helps

grams of Sean made a snack for himself and his friends using 4 slices of multigrain bread and 6 tablespoons of peanut butter. He cut the sandwiches into 8 equal pieces. Each of the 8 pieces had carbohydrates from the peanut butter. Each of the 8 pieces had grams of carbohydrates from the multigrain bread. Food Serving Carbs (g) peanut butter 2 tbsp 6.26 multigrain bread 1 slice 12.1​

Answers

Answer: 4b+5=13 \-x+sqrt1−x 2 \-=sqrt2(2x 2 – 1)

Step-by-step explanation:

Answer:

Each of the 8 pieces had  

✔ 2.3475

grams of carbohydrates from the peanut butter.

Each of the 8 pieces had  

✔ 6.05

grams of carbohydrates from the multigrain bread.

Step-by-step explanation:

(Forgive me for the late answer) Have a good day! :D

Show work please.... thanks

Answers

Answer:

[tex]x=-155/6[/tex]

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]

Step 2: Solve for x

Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]Distribute: [tex]4x-140=10x+15[/tex]Subtract 4x on both sides: [tex]-140=6x+15[/tex]Subtract 15 on both sides: [tex]-155=6x[/tex]Divide both sides by 6: [tex]-155/6 = x[/tex]Rewrite: [tex]x=-155/6[/tex]

Answer:

x = -25.83333333

or as a fraction

-155/6

Step-by-step explanation:

Please help me we can high five or sumn :)

Answers

Answer:

Its either the 1,2,3, or 4

BHAHABSHABIDBSHBDIHVIHA

jk

The answer is -9,-1

Have a good day:)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is (-9,-1)

If you graph them you could see that this point isn't in the shaded area.

PLEASE SOLVE
1/3 (12f-3)=4f-1

Answers

Answer:

4F-1

Theres infinite amount of solutions

Step-by-step explanation:

12f/3=4f

-3/3=-1

4f-1=4f-1

Answer:

f = 0

No solution

Step-by-step explanation:

[tex] \frac{1}{3} (12f - 3) = 4f - 1[/tex]

Use to open the bracket

[tex] \frac{1}{3} \times \: 12f = 4f \\ \frac{1}{3} \times 3= 1[/tex]

[tex]4f - 1= 4f - 1[/tex]

Collect like terms

[tex]4f - 4f = - 1+1 \\ - 1f = 0 \\ \\ f = 0[/tex]

What is the value of x? What is the value of y?

Answers

Answer:

x = 45/2y = 10

Step-by-step explanation:

Both angles that have the "x" variable are the same and both angles that the "y" are the same since they are congruent meaning they are the same angle measure.

Solve for x.

6x - 5 = 8x - 50

~Add 5 to both sides

6x = 8x - 45

~Subtract 8 to both sides

-2x = -45

~Divide -2 to both sides

x = 45/2

Solve for y.

2y + 30 = 3y + 20

~Subtract 30 to both sides

2y = 3y - 10

~Subtract 3y to both sides

-y = -10

~Divide -1 to both sides

y = 10

Best of Luck!

PLZ HELP! Oliver is 8 feet above the surface of the water. There is a school of fish 10 feet below the surface. A ledge with some seashells is 18 feet below the​ surface, and even​ deeper, there is a shipwreck 32 feet below the surface. Answer parts a and b.
a. How many feet will Oliver have to travel to get to the​ seashells?
Oliver will have to travel ? feet down

Answers

Answer:

26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:

8 feet added to 18 feet will be your answer.

Answer:26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:Okay so if you draw a line graph going vertical and you number it 1-32 ( this is if you have to show work ) a is a 11 feet deeper and b is 23 feet deeper

Help asap
1) To which set of numbers does the number belong? Choose all the sets to which it belongs. -5.2

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

2)To which set of numbers does the number belong? Choose all the sets to which it belongs. -4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

3) To which set of numbers does the number belong? Choose all the sets to which it belongs. -4.3212........

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

4) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

5) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 7

a)Natural

b)Whole

C)integer

d)rational

e)irational

f)real

Answers

Answer: (1) d, f     (2) c, d, f     (3) e, f      (4) a, b, c, d, f     (5) e, f

Step-by-step explanation:

a) Natural Numbers:            1, 2, 3, ...

b) Whole Numbers:          0, 1, 2, 3, ...     (add zero to the Natural numbers)

c) Integers:   ..., -3, -2, -1, 0, 1, 2, 3, ...   (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating.  This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2  has a terminating decimal so it is a RATIONAL number.

2) -4  is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) [tex]\sqrt4[/tex] = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) [tex]\sqrt7[/tex]  is a non-terminating decimal so it is an IRRATIONAL number

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