Problem 11
<h3>Answer: h =
2A/b</h3>
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Explanation:
We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b
A = (1/2)*b*h
2A = b*h
b*h = 2A
h = 2A/b
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Problem 12
<h3>Answers:</h3>
- Equation: (n+2)/5 = 14
- Solution to that equation: n = 68
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Explanation:
The number n is increased by 2 to get n+2
Then we divide by 5 to get (n+2)/5
This is set equal to 14 to get the equation (n+2)/5 = 14
Solving the equation would look like this
(n+2)/5 = 14
n+2 = 5*14 .... multiply both sides by 5
n+2 = 70
n = 70-2 .... subtract 2 from both sides
n = 68
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Problem 13
<h3>Answer: Not a solution</h3>
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Explanation:
We'll replace every copy of x with -3 and simplify
-2x + 5 > 13
-2*(-3) + 5 > 13
6 + 5 > 13
11 > 13
The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.
Therefore, x = -3 is not a solution.
Answer: the golf ball with hit the ground again after 2.75 seconds
Step-by-step explanation:
The movement of the golf ball from the ground follows the equation h(t)=-16t^2+44t,
where t is the time in seconds, and h(t) is the height of the ball at a given time t
By the time the golf ball hit the ground, the height from the ground would be zero. This means that we would equate the quadratic equation to zero. It becomes
-16t^2+44t = 0
Dividing both sides by t
16t^2/t = 44t/t
16t = 44
t = 44/16
t = 2.75
Scooter B uses fewer gallons after 1350 miles driven
Answer:
3 1/3
Step-by-step explanation:
Make the fractions into improper fractions:
2 1/2 = 5/2
1 1/3 = 4/3
5/2 × 4/3 =
5×4/2×3 =
20/6 =
10/3 =
3 1/3
U can use math. way for this
