Your answer would be
A. Adding 7x to both sides of the equation
And in doing so, you'd start your first step to having "like terms" on "like sides"
by having all "x's" on the right side of your equivalent sign "="
Firstly figure out how much money you earn per one hour. This is 312$ divided by 20 is 16$/hour. Then write an equation which represents only hourly earnings: y = 16x. To answer the last question just enter the value for variable x = 15, and you will get money earned per one week.
Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
Answer:
12
Step-by-step explanation:
Start at negative 8 on the number line than move to positive 20
Alexis and 3 friends buy:
-Pretzel $4.
-Sauce $1
-Drink $2
First we would multiply all the food prices by 4, since there is 4 people in total.
4 x 4 = $16
1 x 4 = $4
2 x 4 = $8
Now we're adding all the prices together.
16 + 4 + 8 = $28
At this point, we're going to make the expression, using all the steps that we did.
( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
We used parenthesis to show that those expressions need to be done first before anything else.
This is how we make an expression and we find the total answer.
The expression would be: ( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
The total cost would be: $28
Hope this helps!~
