Answer:
x = 4
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(5x + 6) = 4(2x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 10x + 12 = 8x + 20
- Subtract 8x on both sides: 2x + 12 = 20
- Subtract 12 on both sides: 2x = 8
- Divide 2 on both sides: x = 4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 2(5(4) + 6) = 4(2(4) + 5)
- Multiply: 2(20 + 6) = 4(8 + 5)
- Add: 2(26) = 4(13)
- Multiply: 52 = 52
Here we see that 52 does indeed equal 52.
∴ x = 4 is a solution of the equation.
Answer:
m=3
Step-by-step explanation:
12(3+m)
36+12m=0
12m=36
m=3
The answer to this problem is simple all you have to do is pemdas and you get the answer 0.6
Answer:
Mike = 3
Robert = 9
Step-by-step explanation:
R = Robert
M = Mike
Mike is 6 years younger than Robert
R = M + 6
Add 3 years to both sides
R + (3) = 2M + (3)
Represent that Robert is now twice as old as Mike
2M + 3 = M + 3 + 6
Solve + Subtract the 3 years
2M + 3 = M + 9
M = 6 - 3 = 3
R = 12 - 3 = 9
Hope this helps :)
They left off the equation but we can know it's
y(t) = h₀ - g t² / 2
That's
y(t) = 144 - 16 t²
It hits the ground when
0 = 144 - 16 t²
16 t² = 144
t² = 144 / 16 = 9
t = 3 seconds
Answer: 3 seconds