M = 3rt^2 - 2rv
2rv = 3rt^2 - M
v = (3rt^2 - M)/2r
Answer:
1. x= -56.25
Expand
19.5-6.5x+36=201-4.5x-33
Simplify
-6.5x+55.5=201-4.5x-33
Simplify again
6.5x+55.5=-4.5x+168
Add 6.5 to both sides
55.5=-4.5x+168+6.5x
Simplify
55.5=2x+168
Subtract
55.5-168=2x
Simplify
112.5=2x
Divide both sides by 2
−112.5÷2 = x
Simplfy
x = -56.25
2. x > -7 ÷ 4
Or
Decimal Form: -1.75
Remove parentheses
12x>4x+5−19
Simplify
12x>4x-14
Subtract
12x-4x>-14
Simplify
8x>-14
Divide both sides by 8
x > -14 ÷ 8
Simplify
x > -7 ÷ 4
Or
Decimal Form: -1.75
3. Answer: Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
Hope this helps!!! Good luck!!! ;)
Answer:
110 bonus payments
Step-by-step explanation:
Yearly salary is 20,000. So in 6 years, she will get:
20,000 * 6 = 120,000
Her agent's expectation is 1,000,000 and her salary would cover 120,000
So remaining is 1,000,000 - 120,000 = 880,000
This amount will be taken from bonus payments where bonus is 8000 for every game that attracts 100+ fans. SO we divide 880,000 by 8000 to get the number of bonus payments.
880,000/8000 = 110
Answer : 72 blocks
To find the answer, you have to find the volume of the prism. To find the volume you multiply the length, width, and height.
6 x 3 x 4 = 72
This gives you 72 blocks.
