The cost of a birthday party at a skating rink is proportional to the

number of guests. The skating rink charges $82.50 for 10 guests.

The choices show the number of guests and the total cost for four

different parties that were hosted at different locations. Select each

party that was hosted with the same constant of proportionality, or

unit rate, as the skating rink's unit rate.

Answers

Answer 1

Answer:

Step-by-step explanation:-

Answer 2

The required magnitude of the constant of the proportionality is 8.25.

Given that,
The cost of a birthday party at a skating rink is proportional to the number of guests. The skating rink charges $82.50 for 10 guests.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of the guest be x and the total charge for the party be y,
y = kx
Where K is the constant of proportionality,
Substitute the values in the equation for the number of guests and corresponding charges,
82.50= K(10)
K = 8.25

Thus, the required magnitude of the constant of the proportionality is 8.25.

Learn more about proportionality here: https://brainly.com/question/22620356

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Related Questions

NO LINKSS!!! HELPP ME PLSSSSSSS I NEED IT NOW PLSSS. How could you calculate the x-coordinate of the midpoint of a horizontal
segment with endpoints at (0,0) and (20,0)?

Answers

Answer:

the answer I say would be correct would be D

A line with a slope of -2 is written in the form y=mx+b.
what is the value of b If the line passes through the point (5,-7)?

Answers

Answer:

b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 2 , then

y = - 2x + b ← is the partial equation

To find b substitute (5, - 7 ) into the partial equation

- 7 = - 10 + b ⇒ b = - 7 + 10 = 3

84 km
35 km
What is the length of the hypotenuse?

Answers

Answer:

Hypotenuse is 91 km

Step-by-step explanation:

a² + b² = c²

35² + 84² = c²

1225 + 7056 = c²

c² = 8281

[tex]\sqrt{c^2} =\sqrt{8281}[/tex]

c = 91

HELPP QUICK PLSS :’( BEFORE I HAVE A BREAKDOWN NO BITS NO LINKS OR ANSWERS TO GET POINTS I REALLY NEED THE HELP AND CHOOSE MORE THAN ONE PLSS Which of the following equations describes the line shown below? Check all
that apply.
(-4, 10)
(-7,-5)

Answers

Answer:

a, c, d

Step-by-step explanation:

answers are A, C and D

30 points. Can you please solve this?

Answers

Answer:

43 glasses with 4 fluid ounces in the last glass

Step-by-step explanation:

156+192= 348

348÷8=43 1/2 glasses 43 full glasses and 4 fl ounces leftover

HELPPPPP MEE ITS DUE TODAY pleasseee

Answers

Angle 2 is 74, angle 1 is 47 ( since vertical angles are congruent), and angle 3 is 69.

Use the distributive property to write an expression that is equivalent to 12 + 4x.

Answers

Answer:

10+2+4x

Step-by-step explanation:

its very simple but still right because 10 and 2 is 12 and well 12+4x is the thing you want to have the same as

The four partners in a business decide to split the profits of their company in the ratio 2 : 3 : 3 : 5 .
If the profit one year is $26, 000, then what is the largest amount of profit received by one of the four partners?

Answers

Answer:

$10,000

Step-by-step explanation:

the profit was divided to 2+3+3+5=13 parts

the largest amount of profit

=$26,000×5/13

=$10,000

f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)

Answers

Answer: -6x + 15

Step-by-step explanation:

f (x) = 3

g (x) = -2x + 5

3 (-2x+5)

= -6x +15

(4.5)x = 26 pls help me with this it is multiplication equations

Answers

Answer:

x=5.7

Step-by-step explanation:

Answer:

x = 5.78

Step-by-step explanation:

(4.5)x = 26

4.5x = 26

x = 26/4.5

x = 5.78

Hi! Please help out if you can to explain it! I need so much help on this !

Answers

Step-by-step explanation:

When you translate something, it means to move it exactly as it is from once location to another. In this case, move the object 3 units right, and 3 units up. Each line segment is 1 unit. To translate this object, move each point 3 unit up and 3 units right. After that, connect the points to draw the object.

HELPPP ASAP 10 POINTS

Answers

Answer:

sheesh

Step-by-step explanation:

11/3 can be thought of as a whole number and a fraction.

Complete the statements below to show the number of wholes and the fractional part that make up 11/
3.

Answers

11/3 = 3 2/3 as a mixed fraction or proprr fraction

The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.

When will the obj reach its maximum height ?
What is the max height?
After how many seconds will it hit the ground?

Answers

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20

1.2 career planning financial algebra

Answers

Needs more info about your question please

The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?

Answers

Answer:

$89.90

Step-by-step explanation:

38% corresponds to the decimal fraction 0.38.

The amount of the discount is 0.38($145), or $55.10. Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.

A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62: $89.90.

i will give brainiest 1!!!!!!!

What is x(5-2)(2-2)=12

Answers

Answer: No solution

x(5-2)(2-2)=12

x(3)(0)=12

Since its times by 0 the x goes away and it is

0=12

No solution

Answer:

0=12

Step-by-step explanation

(5−2)(2−2)=12

(3)(2−2)=12

What is the quotient of the fractions below? 3/5 divided by 2/3?

A. 2/5
B. 10/9
C. 9/10
D. 5/2
HUURRYYY!!!

Answers

Answer:

9/10

Step-by-step explanation:

Monique went on a hike in the hills. The table
displays the times and distances from the beginning to
the end of the hike.
If Monique hiked at a constant pace, which equation
shows the relationship between the length of the time
she hiked and the distance she hiked?
A. d= 6t
B. d = 4.8t
C. d= 12.5t
D. d= 0.087

Answers

Answer:

I believe it is A, d= 6t

It is an odd question though.

Write an equation for the line parallel to the given line that contains C.
C(1,4); y=−3x+1

Answers

Answer:The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness of a line and the y-intercept is the point where the line intersects the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAIN AND THIS IS WORTH 26 POINTS!!!

Answers

Answer:

1) Already finished

2)0.28,7/25

3)0.78,39/50

4)0.96,24/25

5)0.5,1/2

6)0.3,30%

7)0.4,40%

8)0.25,25%

9)0.55,55%

10)0.2,20%

11)7/20,35%

12)3/4,75%

13)4/5,80%

14)1/25,4%

15)13/20,65%

Step-by-step explanation:

In the last 150 years, the average height of people in the industrialized nations has increased by 1/3 foot. Today, American men have an average height of 5 7/12 feet. What was the average height of American men 150 years ago? show your work

Answers

Answer:

5 1/4 feet

Step-by-step explanation:

Average height now:

5 7/12 feet

The difference:

1/3 foot

Average height 150 years ago:

5 7/12 - 1/3 = 5 + 7/12 - 4/12 =5 + 3/12 =5 + 1/4 =5 1/4 feet

what does 2x+2y=7 equal to

Answers

Let's solve for x.
2
x
+
2
y
=
7
Step 1: Add -2y to both sides.
2
x
+
2
y
+
−
2
y
=
7
+
−
2
y
2
x
=
−
2
y
+
7
Step 2: Divide both sides by 2.
2
x
2
=
−
2
y
+
7
2
x
=
−
y
+
7
2

Let's solve for y.
2
x
+
2
y
=
7
Step 1: Add -2x to both sides.
2
x
+
2
y
+
−
2
x
=
7
+
−
2
x
2
y
=
−
2
x
+
7
Step 2: Divide both sides by 2.
2
y
2
=
−
2
x
+
7
2
y
=
−
x
+
7
2
Answer:
y
=
−
x
+
7
2

Use PEMDAS to evaluate the expression 8 + 3 x 6 − 12 ÷ 3.

14
16
19
22

Answers

8 + 18 - 12/3 , 8 + 18 - 4 , 18 + 8 , 26-4 = 22

Answer:

Step-by-step explanation:

PEMDAS stands for:

Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction

Simplify according to PEMDAS, from left to right

I will bold the parts that I will simplify for each step

8 + 3 x 6 - 12 ÷ 3 =

8 + 18 - 12 ÷ 3 =

8 + 18 - 4 =

26 - 4 =

The expression equals to 22

I need help with this problem

Answers

Answer:

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

State the measure of an angle whose complement is 23o

Answers

Answer: 67 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. To find the complement of an angle, subtract it from 90. 90-23=67.

[Help Asap, Will Mark Brainliest If Correct!] Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

74cm^2

Step-by-step explanation:

advance tickets for a school play went on sale. the price of each student ticket was $4 and everyone else paid $5. on the first day, no more than $80 in tickets were sold. describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to non student’s.

Answers

Answer:

0student 16non-student,

5student 12non-student,

10student 8non-student,

15student 4non-student,

20student 0non-student

Step-by-step explanation:

s student tickets, e non student

4s + 5e = 80

s e

0 16 4(0) + 5(16) = 80

5 12 4(5) + 5(12) = 80

10 8 4(10) + 5(8) = 80

15 4 4(15) + 5(4) = 80

20 0 4(20) + 5(0) = 80

$9000.00 decreased by 0.5% make sure to show your work

Answers

Answer: 8550

Step-by-step explanation:

9000(1-0.5)

9000(0.95)

8550

Use the function below to find F(2).
F(t) = 2x1/2^3t
ОА. 1/32

O B.1/8

O c.1/16

O
D.1/64

Answers

Answer:

Step-by-step explanation:

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