Sum of 13 and 3 times a number is 31. What is the number?

Mathematics

1 answer:

Volgvan2 years ago

6 0

Answer:

13 + 3x= 31

Step-by-step explanation:

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A cheetah ran 275 feet in 3.23 seconds. How fast did the cheetah run in miles per hour? Round your answer to the nearest whole m

yawa3891 [41]

First we convert feet into meters, since 1 feet is 0.3048 m: 275 feet * 0.3048 = 83.82m.

Then we do: 83.82m / 3.23s = <span>25.9504644 m/s.

Then we convert that into miles per hour by </span>2.23694, so we do:

25.9504644 * 2.23694 = <span>58.0496318.

Then we round it to 58 mph.

So the answer is: The cheetah was running at 58 mph.

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A line with slope -2/3 passes through the point (-12,16) What is the X-intercept

Troyanec [42]

to find the x-intercept of a function, we simply set y = 0 and then solve for "x", so, let's first find the equation of it and then set y = 0.

$\bf (\stackrel{x_1}{-12}~,~\stackrel{y_1}{16})~\hspace{10em} slope = m\implies-\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-16=-\cfrac{2}{3}[x-(-12)] \\\\\\ y-16=-\cfrac{2}{3}(x+12)\implies \stackrel{\stackrel{y}{\downarrow }}{0}-16=-\cfrac{2}{3}x-8\implies -8=-\cfrac{2x}{3} \\\\\\ -24=-2x\implies \cfrac{-24}{-2}=x\implies 12=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12,0) ~\hfill$