Answer:
15
Step-by-step explanation:
Let x represent the number of hours it takes the larger hose to fill the pool. Then each hour, it contributes 1/x of the pool volume. Similarly, the other hose contributes a volume of 1/(1.5x) each hour.
The two hoses together contribute a volume of 1/9 of the pool volume each hour:
1/x +1/(1.5x) = 1/9
2.5/(1.5x) = 1/9 . . . . combine the fractions
22.5/1.5 = x . . . . . . multiply by 9x
15 = x
It takes the larger hose 15 hours to fill the pool alone.
Answer:
1,360
Step-by-step explanation:
Ok, so for the first 6 questions, if each one can be answered 4 different times, that would mean that it would be 6 to the 4th power (or 6 x 6 x 6 x 6)
That would be 1296.
Then, we have the other 8 questions, that can be answered 2 different ways. That would be represented as 8 to the second power (or 8 x 8)
That would be 64.
Now, we have to add the two numbers together to get the total. 1296+64 = 1,360
That's how you get the answer! I hope this is correct!
Answer:
5
Step-by-step explanation:
√
3
x
+
10
=
x
To remove the radical on the left side of the equation, square both sides of the equation.
√
3
x
+
10
2
=
x
2
Simplify each side of the equation.
Tap for more steps...
3
x
+
10
=
x
2
Solve for
x
.
Tap for more steps...
x
=
5
,
−
2
Exclude the solutions that do not make
x
=
√
3
x
+
10
true.
x
=
5
Answer:
a. SE = 0.403 mol
Step-by-step explanation:
The standard error of the mean, is the standard deviation of means of means.
It is calculated using,
We have the standard deviation to be
and the sample size is n=146.
We substitute the values to get:
We approximate to three decimal places to get:
First of all, i will start by comparing the given values. That will be;
7/2 meters=$231/4
1 meter= x
I represented the unknown value by x. Anyway, you have to cross and multiply. SO 7/2 multiplies x to give you 7/2x and 1 multiplies 231/4 to give you 231/4. That will be;
7/2x=231/4
Divide the both sides by 7/2.
7/2x÷7/2=231/4÷7/2
When dividing fractions, the division sign changes to a multiplication sign and the fraction on the right turns upside down. So;
x=231/4 x 2/7
x=231/14
x=$33/2.
Hope i helped.