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3 years ago

Which equation(s) represents a proportional relationship? A) y = 5+x B) y = 4x C) y = 7x? D) y = 2-x

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

6 0

Answer:

B & C

Step-by-step explanation:

A proportional relationship has a proportionality constant (constant rate of change) and and must cross through the origin (or begin at (0,0). This means it's y-intercept is 0. Each of the options is a linear function. All of the functions have a constant rate of change. Only one as b=0 or 0 as the y-intercept.

B) y=4x has a constant of 4 and passes through the origin.

C) y=7x has a constant of 7 and passes through the origin.

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D. Mrs. Buchanan decided to throw her daughter a sweet sixteen party. She rented a room at a local venue for $500 a night plus $

a_sh-v [17]

Answer:

1) 80 people 2) 15 weeks

Step-by-step explanation:

(x = the number of people)

500 + 8x = 1140 ← ($500 initially plus $8 per person equals $1140)

8x = 640 ←(subtract the $500 from each side)

x = 80 ←(divide by the $8 per person to get the number of people)

------

(x = the number of weeks)

242 = 62 + 12x ←(The cost of the snake ($242) is equal to her $62 plus $12 she saves every week)

180 = 12x ←(subtract the $62 from both sides)

15 = x ←(divide by the $12 per week)

3 0

3 years ago

Simplify Each. Final answers should be either mixed numbers or improper in lowest terms.

nevsk [136]

a. 7/ 8

b. 7/ 3

c. 50 / 24

d. 29/ 6

<h3>What is a fraction?</h3>

A fraction is a part of a whole. It is also known as the number is expressed as a quotient, with the numerator is divided by the denominator.

Simple fractions are made up of both are integers.

Complex fractions has a fraction in the numerator or denominator

Proper fractions, have the numerator less than the denominator.

a. 31/ 2÷ 4

7/ 2 ÷ 4

Take inverse of the second number and multiply

7/ 2 × 1/ 4

Multiply through

7/ 8

b. 3 2/ 3 ÷ 1 4/7

11/ 3 ÷ 11/ 7

Take inverse of the second number and multiply

11/ 3 × 7/ 11

Multiply through

7/ 3

c. 1/ 2 + 3/ 4 + 5/ 6

Find the LCM

12 + 18 + 20/ 24

We the have;

50 / 24

d. 11/ 2 - 2/ 3

Find the LCM

33 - 4/6

29/ 6

Thus, the answers are in improper fractions and can also be written in mixed fractions.

Learn more about fractions here:

brainly.com/question/1622425

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3 0

2 years ago

he table gives the probability distribution of the number of books sold in a day at a bookstore. What is the probability of 16 o

Pepsi [2]

16 or more books sold in a day will include two intervals from the given table:

a) 16 - 20 books sold.
Probability = 0.201

b) 21 - 25 books sold.
Probability = ?

Since the table gives the probability distribution, the sum of all the probabilities must be equal to 1. We are given the probabilities of 4 out 5 intervals. So in order to find the probability of the 5th interval (21-25) we can subtract the sum of probabilities of rest of the intervals from 1.
So, P(21 - 25) = 0.019

In order to find the probability of 16 or more books sold we need to sum the probabilities of both these intervals.

So, the probability of 16 or more books being sold on a given day = 0.201 + 0.019 = 0.220

4 0

3 years ago

What is the circumference and area of a circle with a radius of two

bezimeni [28]

Answer:

The area and circumference is/are both 4π

Step-by-step explanation:

Formula for the circumference: 2πr

Formula for the area: πr²

2×π×2=4π

The circumference is 4π

π×2²= 4π

The area is 4π

7 0

4 years ago

If two dices are rolled, and the numbers multiplied together, find the

Stella [2.4K]

Answer: Im sorry i dont really get the question :/

Step-by-step explanation:

5 0

3 years ago