Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
x = -3
Step-by-step explanation:
To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)
- Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.
- Subtract 4x from both sides of the equation. This gives you 6x = -18.
- Divide both sides by 6. This gives you x = -3
The final answer is x = -3
Step-by-step explanation:
the explanation is in the diagram above
Answer:
76.8
Step-by-step explanation:
1. We assume, that the number 31.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 31.25, so we can write it down as 100%=31.25.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=31.25
2) x%=24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=31.25/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 24 is what percent of 31.25
100%/x%=31.25/24
(100/x)*x=(31.25/24)*x - we multiply both sides of the equation by x
100=1.3020833333333*x - we divide both sides of the equation by (1.3020833333333) to get x
100/1.3020833333333=x
76.8=x
x=76.8
now we have:
24 is 76.8% of 31.25
Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
