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allsm [11]
3 years ago
13

A car is traveling at a speed of 81 miles per hour. What is the car's speed in feet per second? How many feet will the car trave

l in 15 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
Mathematics
1 answer:
qaws [65]3 years ago
6 0

1 mile = 5280 feet

81 * 5280 = 427680 feet per hour

 1 hour = 3600 seconds

427680 / 3600 = 118.8 feet per second


118.8 * 15 = 1782 feet in 15 seconds

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Solve the following equation. Remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
xxMikexx [17]

Answer:

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have, \frac{1}{x-6} +\frac{x}{x-2} = \frac{4}{x^{2}-8x+12 }

⇒\frac{(x-2)+x(x-6)}{(x-2)(x-6)} = \frac{4}{x^{2}-8x+12 }

⇒\frac{x-2+x^{2}-6x }{(x-2)(x-6)} =\frac{4}{(x-2)(x-6)}

⇒\frac{(x-2)(x-6)}{x^{2}-5x-2 }=\frac{(x-2)(x-6)}{4}

⇒(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

⇒ (x-2)(x-6) =0 or, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

If, (x-2)(x-6) =0, then x=2 or x=6

If, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0, then x^{2} -5x-2=4

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

4 0
3 years ago
Nathan and his brother Zach love to play video games. Right
Monica [59]

Answer:

N=2Z-11

\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}

Step-by-step explanation:

Nathan's score is 11 less than 2 times Zac's score.

Let Z points be Zac's score and N points be Natan's score. then

2 times Zac's score = 2Z

11 less than 2 times Zac's score = 2Z -11

So, N = 2Z - 11

1. If Z=6, then N=2\cdot 6-11=12-11=1

2. If Z=7, then N=2\cdot 7-11=14-11=3

3. If Z=8, then N=2\cdot 8-11=16-11=5

4. If Z=9, then N=2\cdot 9-11=18-11=7

Thus, four other possibilities are

\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}

3 0
3 years ago
20 Points-
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

That would be 0=12 or 10 so that means you have to add 2 to 10.

7 0
3 years ago
What is 0.50 as a fraction
ziro4ka [17]
The answer is 50/100 same as the decimal sort of
3 0
4 years ago
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A bus can carry 50 people per run. At least how many times does the bus have to run in order to transfer 25, 000 people?
galina1969 [7]
50 × 500 = 25,000

The answer is 500 runs.
7 0
3 years ago
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