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3 years ago

Kevin runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?

Mathematics

1 answer:

netineya [11]3 years ago

3 0

Kevin runs:

8 miles -- 84 minutes;

6 miles -- x minutes.

Write a proportion:

$\dfrac{8}{6}=\dfrac{84}{x}.$

Then $8\cdox =6\cdot 84,\\ \\x=\dfrac{6\cdot 84}{8}=3\cdot 21=63\ minutes.$

Answer: it takes him 63 minutes to run 6 miles

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kati45 [8]

$\bf \begin{array}{ccll}
n&term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&a_2&20\\
3&a_3&20r\\
4&a_4&20rr\\
&&20r^2\\\\
&&\frac{45}{4}
\end{array}\implies \stackrel{4^{th}~term}{20r^2=\cfrac{45}{4}}\implies r^2=\cfrac{45}{80}
\\\\\\
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3 years ago

\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned} y=2x+1 x−y=−3 Is (2,5)(2,5)left parenthesis, 2, comma, 5, right

trapecia [35]

Answer:

Yes

Step-by-step explanation:

Given the system of equations

$\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}$

We want to determine if (2,5) is a solution of the system.

We can do this by substitution of the given point into the equations and see if it holds.

Given (x,y)=(2,5), x=2, y=5

In the first equation

y=2x+1

5=2(2)+1

5=5

Therefore, the point (2,5) satisfies the first equation.

In the second equation

$x-y=2-5=-3$

Since our result (-3) is equal to the Right Hand Side, the point also satisfies the second equation.

Therefore, (2,5) is a solution of the system.

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jok3333 [9.3K]

Answer:

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Step-by-step explanation:

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(x,y)→(1,4)

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Answer:
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