A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?


Follow the steps to decide on the party location.


1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite.

2. Write an expression for the amount you would spend on a birthday party at the skating rink.

3. How many people could you invite to the bowling alley? Please show how you found your answer.

4. How many people could you invite to the skating rink? Please show your work.

Answers

Answer 1

Answer:

The skating rink is better choice for more people

Step-by-step explanation:

1. Expression for the amount you would spend on a birthday party at the bowling alley:

5x + 15

2. Expression for the amount you would spend on a birthday party at the skating rink:

3x + 20

3.  Total amount is $50

5x + 15 = 505x = 35x = 7

7 people

4.  Total amount is $50

3x + 20 = 503x = 30x = 10

10 people


Related Questions

On circle O below, the measure of SV is 120°.


What is the measure of VU?

Answers

Answer: Angle VU is 44 degrees

Step-by-step explanation:

Evaluate the expression:
(-1/7)^0

Please show work


A) -1/7

B) 0

C) 1/7

D) -1

E) 1

F) None of These

Answers

Answer:

The answer is E) 1

Step-by-step explanation:

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Which of the functions (Function A, Function B, or Function C) is quadratic?

Answers

B is quadratic. Im pretty sure it is

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Which inequality does this graph show?
A. 2y + 3x > 4
B. 3y + 2x > 4
C. 3x – 2y > 4
D. 2y – 3x > 4

Answers

The answer is D Explanation: since the the slope is negative the x should be negative and D is the only one that has a negative X.

Answer:

Choice A

Step-by-step explanation:

Solve for y

Choice A

2y + 3x > 4

y > -[tex]\frac{3}{2}[/tex]x + 2

Choice B

3y + 2x > 4

y > -x + 2

Choice C

3x – 2y > 4

y < [tex]\frac{3}{2}[/tex]x - 2

Choice D

2y – 3x > 4

y > [tex]\frac{3}{2}[/tex]x +2

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Answers

Answer:

1) w = x+2

2) L = 12

3) w = 9

4) A = 108

Step-by-step explanation:

The rectangle has a length of x+5 and a perimeter of 4x+14.

Perimeter of a rectangle is given by all the lengths plus all the widths, ie 2*width and 2*length.

Perimeter = 2w + 2L

4x+14 = 2w + 2(x+5)

4x + 14 - 2x - 10 = 2w

w = 2x + 7 - x - 5

w = x+2      Width of the rectangle in terms of x.

If perimeter of rectangle is 42, what is the length?

Perimeter = 42 = 4x+14

28 = 4x

x = 7

L = x+5

L = 7+5

L = 12

If perimeter of rectangle is 42, what is the width?

Perimeter = 42 = 4x+14

28 = 4x

x = 7

w = x+2

w = 7+2

w = 9

Area equals length times width. What is the area of the rectangle.

A = L*w

A = 12*9

A = 108

Need help and fast this work is due soon

Answers

Answer:

2x+3=4x-7

4x-2x=-7-3

2x=-10

X=-5

Brainly for questions 4 & 5

Answers

Answer:

its a quiz you might get banned

Step-by-step explanation:

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Answer:

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ben eats approximately 2,400 calories per day, his wife sarah eats 5/8 as much, how many calories does sarah eat per day?

Answers

Answer:

1,500 calories

Step-by-step explanation:

2,400 ÷ 8 = 300

300 × 5 = 1,500

Simply expression 7(x+y)-7x

Answers

Answer:

7y

Step-by-step explanation:

7(x + y) - 7x =

= 7x + 7y - 7x

= 7y

Answer:

7y

Step-by-step explanation:

7(x+y)-7x=7x+7y-7x=7y

Hope this helps :)

a)
List all the factors of 24.

Answers

Factors of 24
1
2
3
4
6
8
12
24

Answer: 1,24. 2,12. 3,8. 4,6.

Step-by-step explanation:

If you change all of these factors to negatives, the pairs would also multiply together to produce positive 24.

Example: -1 x -24 = 24

-2 x -12 = 24, -3 x - 8 = 24.........

Paige mows 1/4 acres in a 1/2 hour. How many acres does page mow per hour?

Answers

Page mows 0.5 acres per hour.

Answer:

2/3 acres per hour.

Plz help due tomorrow

Answers

Answer:

-12x = -60

Step-by-step explanation:

-12x = -79+19

-12x = -60


Slove the system
Of Linear Eqitions by
Elimination
3x-y=0
2x+y=-10

Answers

Answer:

(-2, -6)

Step-by-step explanation:

Given the simultaneous equation

3x-y=0 ... 1

2x+y=-10 ... 2

Add both equations to eliminate y

3x + 2x = 0 - 10

5x = -10

x = -10/5

x = -2

Substitute x = -2 into 1

3(-2)- y = 0

-6 - y = 0

-y = 0+ 6

-y = 6

y = -6

Hence the coordinate (x, y) is (-2, -6)

who is correct alex or jo

Answers

Answer:

D

Step-by-step explanation:

Neither Alex nor Jo are correct, because surface area is a 2-dimensional quantity, so it would be given in just square units, not linear nor cubic.

A car is purchase at $20000.The value of the car depreciates at 12.5% a year. What will the value of the car be to the nearest cent after 11 years

Answers

Answer: $4603.82

Step-by-step explanation:

Given

The initial cost of a car is [tex]P=\$20,000[/tex]

The rate of depreciation is [tex]i=12.5\%[/tex]

Depreciated value after n years is given by

[tex]\Rightarrow P(1-\frac{i}{100})^n\quad \text{where n=no. of years}[/tex]

Value after 11 years

[tex]\Rightarrow 20,000(1-\frac{12.5}{100})^{11}\\\\\Rightarrow 20000(0.875)^{11}=\$4603.82[/tex]

An artist makes paperweights in the shape of square pyramids. The paperweights are filled with yellow sand. How much sand does the artist need to fill this​ paperweight?

Answers

Answer: he needs to mesure

Step-by-step explanation:

What is Dario's hourly salary?

Answers

Answer:

Dario's hourly salary

is $11

Only 1/3 of the students who run in each event win medals at the track meet if nine students are running the mile how many of them will win a medal

Answers

1/3 of 9 is 3. 3 will win the mile

Answer:

I am not too sure but I think 1/3

Step-by-step explanation:

prime factorisation of 8232​

Answers

Answer:

2 x 2 x 2 x 3 x 7 x 7 x 7

Step-by-step explanation:

it is Wednesday my dudes

2 x 2 x 2 x 3 x 7 x 7 x 7 = 8,232

what is the value of x in the equation 24 equals 12 - 4x​

Answers

Answer:

x = -3

Step-by-step explanation:

24 = 12 - 4x

24 - 12 = -4x

12 = -4x

12/-4 = x

x = -3

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24=12−4x

24=12+−4x

24=−4x+12

Step 2: Flip the equation.

−4x+12=24

Step 3: Subtract 12 from both sides.

−4x+12−12=24−12

−4x=12

Step 4: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

una escalera esta recargada en un muro de 8 metros de altura y forma un angulo agudo de 55 grados ¿cual es la longitud de la escalera?

Answers

Answer:

9.77 metros

Step-by-step explanation:

Ay que usar sine, mira el problema en la photo

i need help on this ​

Answers

Answer:2 inside 3 dogs 3 inside 6

Step-by-step explanation:

A rectangular cake measures 12 inches wide, 15 inches long, and 4 inches high.

If the bottom of the cake is not frosted, how much frosting will be needed?

Answers

Answer:

B. 180

Step-by-step explanation:

This is for my final grade before spring break please help me asap noww

Answers

Answer:

Bushes are $9.

Bonsai trees are $32.

Step-by-step explanation:

Bushes are b and bonsai trees are t.

15b + 8t = $391

9b + 5t = $241

15b + 8t = $391 × 3 and 9b + 5t = $241 × 5

= 45b + 24t = $1173 and 45b + 25t = $1205

(45b + 24t = $1173) - (45b + 25t = $1205)

t = 1205 - 1173

t = $32

Apply to 15b + 8t = $391.

15b + 32 × 8 = $391

15b = $391 = 32 × 8

15b = $391 - 256

15b = $135

x = ($135 ÷ 15) = $9

#13: The difference between two numbers is 3. Their sum if 27. What is the smaller number? * Your answer​

Answers

Answer:

The smaller number is 12 & greater number is 15.

Answer:

12

Step-by-step explanation:

let the numbers be x and y and x>y

x-y=3

x+y=27

add

2x=30

x=30/2=15

15+y=27

y=27-15=12

Algebra 2!! What is the domain of the function graphed below?

Answers

Answer:

(-infinity,+infinity)

Step-by-step explanation:

Domain refers to the x-axis. So if we look from left to right along the x-axis we could conclude that the function will go infinitley from negative infinite to positive infinity.

7.
Find the slope of the line.


A. [tex]\frac{1}{4}[/tex]

B. –4

C. 4

D. [tex]-\frac{1}{4}[/tex]

Answers

Answer:    The answer is either letter A or letter C

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

-1

5

= -0.2

θ =  

arctan( ΔY ) + 360°

ΔX

= 348.69006752598°

ΔX = 5 – -5 = 10

ΔY = -3 – -1 = -2

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -0.2x – 2

or

y =  

- 1 x

5

– -2

When x=0, y = -2

When y=0, x = -10

...............................................................................................................................................

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

5

-1

= -5

θ =  

arctan( ΔY ) + 180°

ΔX

= 101.30993247402°

ΔX = -3 – -1 = -2

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -5x – 10

When x=0, y = -10

When y=0, x = -2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

10

2

7

3

=

8

4

m = 2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

10

2

7

3

=

8

4

m = 2

Step-by-step explanation:    This is the picture, I graphed it

Center: (0, 0)

Angle: 0 rad

Opacity: 1

Width: 10

Height: 6.8

When the angle of elevation of the sun is 50 degrees, a flagpole casts a shadow that is 16.8 feet long. What is the height of the flagpole to the nearest foot?

Answers

The answer is 50 degrees angle

Find the quotient
6 1/2 divided by 3/4

Answers

Answer:

8 2/3

Step-by-step explanation:

First, we turn 6 1/2 into an improper fraction, which is 13/2. Now, we can write this out as: 13/2  divided by 3/4. When dividing fractions, you reverse the sign to multiplication and you flip the numerator and the denominator of the second number. So, in this case, it would be 13/2 TIMES 4/3 which now we can do! 13*4 is 52 and 2*3 is 6. 52/6 is a number we can simplify. We can divide out a 2, so 52/2 is 26 and 6/2 is 3. 26/3 can be put into a mixed number. 3 goes into 26, 8 times and there is a 2 left over. So our final answer is 6 2/3.

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