Bess and Gina earn $45 per week for delivering flowers. Bess worked for x weeks and earned an additional total bonus of $20. Gin
1 answer:
Answer:
First option:
Step-by-step explanation:
The missing options are:
We know that "x" represents the number of weeks Bess worked and "y" the number of weeks Gina worked.
According to the data given in the exercise, Gina and Bess earn $45 per week for delivering flowers, this is:
Since earned an additional total bonus of $20, then the total money in in dollars that Bess and Gina earned for delivering flowers can be shown with the following expression:
Notice that this expression matches with the one shown in the first option.
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The bases are both 2, so we would subtract the exponents. This is because the rule is
(a^b)/(a^c) = a^(b-c)
In this case,
a = 2
b = 3/4
c = 1/2
So this means
b - c = (3/4) - (1/2) = (3/4) - (2/4) = 1/4
After subtracting the exponents, the final exponent is 1/4
So the expression simplifies to 2^(1/4) which is the same as![\sqrt[4]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%7D)
(fourth root of 2)
(a^b)/(a^c) = a^(b-c)
In this case,
a = 2
b = 3/4
c = 1/2
So this means
b - c = (3/4) - (1/2) = (3/4) - (2/4) = 1/4
After subtracting the exponents, the final exponent is 1/4
So the expression simplifies to 2^(1/4) which is the same as
