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2 years ago

Describe the steps and order you use when solving an equation that involves the distributive property and combining like terms.

1 answer:

6 0

The rule to use is PEMDAS. (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction) When there's a number in front of one parenthesis, you distribute that number to the terms on the inside based on PEMDAS. What should also be notified is the exponent rules for multiplication and division. Then combine like terms. They have to have the same base of multiplying or dividing. Combining like terms need to have the same exponent, or whole numbers in groups.

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What is the equation of the line that passes through the points (-4,8) and (2,-1)

DiKsa [7]

Answer:

y - 8 = (3/2)(x + 4)

Step-by-step explanation:

As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise"). Thus, the slope is

m = rise / run = 9/6, or 3/2.

Using the point-slope form of the equation of a straight line, we get:

y - 8 = (3/2)(x + 4)

8 0

2 years ago

A coin bank that excepts only nickels and dimes contains $9.15. There are three more than twice as many nickels as there are dim

valentinak56 [21]

45 dimes and 93 nickels were in bank

Solution:

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

Given that There are three more than twice as many nickels as there are dimes

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

Also given that coin bank that excepts only nickels and dimes contains $9.15

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

$n \times 0.05 + d \times 0.10 = 9.15$

0.05n + 0.10d = 9.15 ---- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

Thus 45 dimes and 93 nickels were in bank

3 0

3 years ago

Paul is three times as old as Mary and Peter is four times as old as Mary,If the sum of their ages is 64, how old are Peter,Paul

uysha [10]

Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

The sum of their ages is 64
⇒ Paul's age+ Peter's age+ Mary's age= 64
⇒ 3x+ 4x+ x= 64
⇒ 8x= 64
⇒ x= 64/8
⇒ x= 8

Paul's age is: 3x= 3*8= 24

Peter's age is: 4x= 4*8= 32

Final answer: Paul is 24 years old.
Peter is 32 years old.
Mary is 8 years old.

Hope this helps~

7 0

2 years ago

Explain why there is 1/3 cup of fruit i. Half a smoothie

Darina [25.2K]

This kinda ales no sense

5 0

3 years ago

Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of

ivanzaharov [21]

ANSWER:

Kari bought 3 boxes of cookies to share. The algebraic expression is $\frac{36}{x}$