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3 years ago

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The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determin

ed. (Show complex fraction setup.)

1 answer:

frez [133]3 years ago

6 0

Answer: $2\dfrac13\text{ miles per hour}$

Step-by-step explanation:

Given: Distance traveled by Smith = $\dfrac23$ mile.

Time taken = $\dfrac27$ hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

$=\dfrac23\div\dfrac27$

$\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}$

Unit rate = $2\dfrac13\text{ miles per hour}$

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which one of the following uses estimation to check 267-154=113? a. 300-200=100. b. 113+154=267. c. 300-150=150. d. 270-150=120

Vlada [557]

A. 300-200=100
You round 267 to 300, 154 to 200, and 113 to 100.

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3 years ago

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the function y=-2(x-3)^2+4 shows the daily profit of a hot dog stand, where x is the price of a hot dog where x is the price of

Nataly [62]

Step-by-step explanation:

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2 years ago

−3/8 ÷ 1/2= the numbers are fractions

marishachu [46]

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3 years ago

Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$

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2 years ago

Need answers ASAP

a_sh-v [17]

We know, Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 18³
v = 4.186 * 5832
v = 24,416.64 cm³

Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 12³
v = 4.186 * 1728
v = 7234.56 cm³

Difference = 24,416.64 - 7234.56 = 17182.08

In short, Your Answer would be: 17182.08 cm³

Hope this helps!

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3 years ago