Answer:
Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.
Step-by-step explanation:
We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.
Therefore, we get
![\frac{2}{3}+\frac{4}{5}=\frac{10+12}{15}=\frac{22}{15}=1+\frac{7}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B4%7D%7B5%7D%3D%5Cfrac%7B10%2B12%7D%7B15%7D%3D%5Cfrac%7B22%7D%7B15%7D%3D1%2B%5Cfrac%7B7%7D%7B15%7D)
Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
![64^\frac{2}{3} = \sqrt[3]{64^{2}}\\](https://tex.z-dn.net/?f=64%5E%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Csqrt%5B3%5D%7B64%5E%7B2%7D%7D%5C%5C)
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
![64^\frac{x}{y} = \sqrt[y]{64^{x}}](https://tex.z-dn.net/?f=64%5E%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Csqrt%5By%5D%7B64%5E%7Bx%7D%7D)
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
<u>Simplify (if you want to)</u>
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64 to the power of 2/3 is 16.
Answer:
x
−
y
+
4
=
8
7
x
+
y
=
03
x
+
4y
=
−
5
Step-by-step explanation:
Domains are the first sets of numbers they are also the x and the range is the second sets of number and is the y
Answer:
x = 0.667 and y = -0.6
Step-by-step explanation:
Given that,
6x + 5y = 1 ....(1)
6x - 5y = 7 ...(2)
We need to solve the above equations.
Subtract equations (1) and (2)
6x + 5y -(6x - 5y) = 1-7
6x+5y-6x+5y = -6
10y=-6
y = -0.6
Put the value of y in equation (1).
6x + 5(-0.6) = 1
6x = 1-5(-0.6)
6x = 4
x = 0.667
Hence, first step is to subtract equation (1) and (2) then put the value of y in equation (1).