If she worked 40 hrs per week....and there are 52 weeks in a yr....then she worked a total of (40 * 52) = 2080 hrs.
and if she made $ 23,920 per yr.....then she made 23920 / 2080 =
$ 11.50 per hr <==
Answer:
10 water bottles
Step-by-step explanation:
We know that there are a total of 1000 milliliters in a 1 liter. So we first need to multiply 1000 milliliters by 5 in order to calculate how much is in 5 liters which is what the coach is asking for...
1000 * 5 = 5000 milliliters
Since each water bottle only holds 500 milliliters we need to divide this amount by the total that the coach needs in milliliters.
5000 / 500 = 10
Finally, we can see that Audrey needs to buy a total of 10 water bottles to have exactly enough water.
Answer:
(a) m = 10
(b) n = 160
Step-by-step explanation:
To rewrite the expression in the manner indicated, write an equation that sets the given expression equal to the desired expression. Then solve for the variable value. The distributive property and the usual rules of exponents apply.
The rules of exponents you can use here are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^0 = 1
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(a) 2^101 +2^103 = m×2^100
2^(101-100) +2^(103-100) = m × 2^(100-100) . . . . . . . multiply by 2^(-100)
2^1 +2^3 = m
2 + 8 = m
m = 10
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(b) 2^101 +2^103 = n×4^48
2^101 +2^103 = n×(2^2)^48 . . . . . substitute 4 = 2^2
2^101 +2^103 = n×2^96 . . . . . . . . simplify
2^5 +2^7 = n . . . . . . . . . . . . . . . . . as above, multiply by 2^(-96)
32 +128 = n
n = 160
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<em>Additional comment</em>
The rules of exponents tell you that ...
(m × 2^100) × 2^-100 = m × 2^(100 -100) = m × 2^0 = m
This is effectively the same as dividing by 2^100. You're doing the same thing you would do to solve any linear equation: divide by the coefficient of the variable.
If you divide 156 by 12 it'll give you 13, so there are 13 in each group
