1.so what you are going to do it add up all the sides but not just in any order you are going to add up the like terms so 2/3x+1/3x+2/3x+1/3x that adds up to be 2x and the add up 10+5+10+5 which equals 30 so there you go. Your perimeter= 2x+30
2. -2/3 has a repeating decimal
Answer: -4 (m + 6) = -8
We can use the distributive property for the first half of the equation.
-4 × m = -4m
-4 × 6 = -24
-4m - 24 = -8
Now we add 24 on bothe side sof the equation to get -4m by itself.
-4m - 24 + 24 = -8 + 24
Now we get -4m = 16
Divide -4 on both sides to get m by itself
-4m/-4 = 16/-4
Simplify and we get m = -4
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Answer:
Step-by-step explanation:
WeknowthatsinceABCisarightangledtriangle,
AB2+BC2=AC2
82+152=AC2
64+225=AC2
AC2=289
AC=289−−−√=17
Hypotenuse=17cm
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
Divide both sides by 6.
Put k=9.1 in (i).
Substitute A=260 in the above equation.
Divide both sides by 9.1.
Therefore, she need to work extra about 29 hours to earn an additional $260.
