Answer:
Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.
2) Multiply both sides by 3.
Simplify 4 × 3 to 12.
4) Add 10 to both sides.
5) Simplify -12 + 10 to -2.
So, therefor, the answer is, x = -2.
You would input 10 as m into the equation
t= 0.05(10) +60
t=0.5+60
t=60.5
When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +
Calculate the LCM of denominators
Calculate the difference
Answer:
r = 4
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-5 + 22 = r - 4 + 3r + 5
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: 17 = 4r + 1
- Subtract 1 on both sides: 16 = 4r
- Divide 4 on both sides: 4 = r
- Rewrite: r = 4
<u>Step 3: Check</u>
<em>Plug in r to verify it's a solution.</em>
- Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
- Add/Subtract: 17 = 3(4) + 5
- Multiply: 17 = 12 + 5
- Add: 17 = 17
Answer:
Charlene earns $700 per week
Kristi earns $550 per week
Sascha earns $800 per week
Step-by-step explanation:
Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.
Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.
<em>k+150+k+s=2050</em>
The next step here is to put the variables on one side and to put the numeric values on the other.
2k+s=1900
Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.
2(s-250)+s=1900
2s-500+s=1900
3s=2400
s= 800
We now have Sandra's weekly pay, which we can use to find the others' pay.
c= s-100
c= 800-100
c= 700
k= c-150
k= 700-150
k= 550
