Answer:
3. r = -8
4. x = -5
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 equation</u>
2(-5r + 2) = 84
<u>Step 2: Solve for </u><em><u>r</u></em>
- Divide 2 on both sides: -5r + 2 = 42
- Subtract 2 on both sides: -5r = 40
- Divide -5 on both sides: r = -8
<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>: 2(-5(-8) + 2) = 84
- Multiply: 2(40 + 2) = 84
- Add: 2(42) = 84
- Multiply: 84 = 84
Here we see that 84 does indeed equal 84.
∴ r = -8 is a solution of the equation.
<u>Step 4: Define equation</u>
264 = -8(-8 + 5x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Divide both sides by -8: -33 = -8 + 5x
- Add 8 to both sides: -25 = 5x
- Divide 5 on both sides: -5 = x
- Rewrite: x = -5
<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>: 264 = -8(-8 + 5(-5))
- Multiply: 264 = -8(-8 - 25)
- Subtract: 264 = -8(-33)
- Multiply: 264 = 264
Here we see that 264 does indeed equal 264.
∴ x = -5 is a solution of the equation.
Answer:
-1/3 < x <(or equal to) 2
Step-by-step explanation:
Firstly divide your inequality into two separate inequalities...
1) -1 < 6x + 1...then solve for the first one..,which then gives you....;
-2 < 6x....which gives us our first solution (x > -1/3)
Then the second inequality
2) 6x + 1 <(or equal to) 13
which then gives you....,
6x <(or equal to) 12...which then gives our second solution...( x <(or equal to) 2)
Then combine the two solutions into a compound solution
-1/3 < x <(or equal to) 2
Answer:
12 miles al least
Step-by-step explanation: there you answer is
3p + 2r = n.....subtract 2r from both sides
3p = -2r + n...divide both sides by 3
p = (-2r + n)/3 or p = -2/3r + n/3 or p = -2/3r + 1/3n
Answer: $76 will be the total for one and a half ours for a repair.
Step-by-step explanation:
28 + 16hh
hh = half hour
1 and a half hours = 3 half hours
28 + 16(3)
28 + 48 = 76
