3 years ago

Three times a number increased by 8 is at most 40 more than the number. Find the greatest value of the number.

Mathematics

1 answer:

Sidana [21]3 years ago

3 0

Answer:

$That\:number\:is\:16$

Step-by-step explanation:

$Let\:x\:be\:the\:number\\We\:have\:an\:equation:3x+8=x+40\Leftrightarrow 2x=32\Leftrightarrow x=16$

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A car travels 126 miles in 3 hours. At this rate, how many miles can the car travel in 4 hours?

almond37 [142]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\\begin{array}{ccc}126\ mi&-&3h\\\\x\ mi&-&4h\end{array}\qquad\text{cross multiply}\\\\3x=(126)(4)\\3x=504\qquad\text{divide both sides by 3}\\x=168\ mi$

$\bold{METHOD\ 2:}\\\\126\ mi\ \text{in}\ 3\ h,\ \text{then}\ \dfrac{126\ mi}{3}=42\ mi\ \text{in}\ 1\ h.\\\\\text{If}\ 42\ mi\ \text{in}\ 1\ h,\ \text{then}\ (42\ mi)(4)=168\ mi\ \text{in}\ 4h.$