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:
72
Step-by-step explanation:
RQS + KLM = 180 degrees, because RQS = QLK, and QLK + KLM = 180 degrees (because they are on the same line).
Substitute the values for RQS and KLM:
x-36 + x = 180 -->
2x-36=180 -->
2x = 144 -->
x=72
Answer:
No
Step-by-step explanation:
Because -7/8= -0.875, while 8/-7= -1.142
Answer:
7.94 x 10⁸miles
Step-by-step explanation:
Given parameters:
Distance of earth from sun = 9.3 x 10⁷miles
Distance of earth from Saturn = 8.87 x 10⁸miles
Unknown:
How much further from the sun is Saturn than Earth = ?
Solution:
To find the solution to this problem, let us find the difference between their distances:
( 8.87 x 10⁸ miles - 9.3 x 10⁷ miles )
= 88.7 x 10⁷ miles - 9.3 x 10⁷ miles
= (88.7 - 9.3) x 10⁷miles
= 79.4 x 10⁷miles
= 7.94 x 10⁸miles
-1 x 7
-7 x 1
-3.5 x 2
3.5 x -2
