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4 years ago

Solve: x − 2 3 = 61 3 A) 42 9 B) 52 3 C) 6 D) 7

Mathematics

1 answer:

Zepler [3.9K]4 years ago

8 0

Answer:

Step-by-step explanation:

$x-\dfrac{2}{3}=6\dfrac{1}{3}\qquad\text{add}\ \dfrac{2}{3}\ \text{to both sides}\\\\x-\dfrac{2}{3}+\dfrac{2}{3}=6\dfrac{1}{3}+\dfrac{2}{3}\\\\x=6\dfrac{1+2}{3}\\\\x=6\dfrac{3}{3}\\\\x=7$

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3 years ago

Apply the distributive property to create an equivalent expression 1/3(3j+6) what the answer

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Answer:

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3 years ago

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2 years ago

Surya is competing in a triathlon that includes swimming, bicycling and running. For the first two segments of the race, Surya s

Alex73 [517]

Step-by-step explanation:

Let $d_{1}$ be the distance Surya swam and $d_{2}$ be the distance he bicycled. We know that $d_{1} + d_{2}$ = 43.29 km.

Now let $t_{1}$ and $t_{2}$ be the time, in hours, it took Surya to complete the swimming and bicycling portions of the race, respectively.

That means $t_{1} + t_{2}$ = 81.75/60 = 1.3625 hours, and $t_{2}$ = 1.3625 – $t_{1}$

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= 40(1.3625 – $t_{1}$ )

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Substituting these expressions for $d_{1}$ and $d_{2}$ in our first equation yields 4 $t_{1}$ + 54.5 – 40 $t_{1}$ = 43.29.

Solving for $t_{1}$ we see that - 36 $t_{1}$ = - 11.21, meaning it took Surya $t_{1}$ = 0.31138(Bar) hours to complete the swimming portion of the race.

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3 years ago