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makkiz [27]
3 years ago
9

A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/20 of an hour. What is her speed?

Include the unit of measure
Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

Her speed is 5 miles per hour.

Step-by-step explanation:

The formula of the speed is given by:

v = \frac{d}{t}

In which d is the distance, and t is the time.

In this question:

Distance: 1/4 mile = 0.25 miles.

Time: 1/20 hour = 0.05 hours.

So

v = \frac{d}{t} = \frac{0.25}{0.05} = 5

Since the distance is in miles and the time in hours, the speed is in miles per hour.

Her speed is 5 miles per hour.

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John and Kevin each bought apples at the store. John bought three more than twice the number of apples Kevin bought. If they bou
AlexFokin [52]
Let x be the amount of apples that Kevin bought.

It says that john buys three more than twice the amount of apples that kevin buys, so 3 + 2x apples.

They bought 21 apples total, so x + 3 + 2x=21

Collecting like terms gives 3x+3=21

Subtracting 3 from both sides gives 3x=18 and then dividing both sides by 3 gives x=6

x is the amount of apples kevin bought, so kevin bought 6 apples
8 0
3 years ago
Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (
Vladimir79 [104]

Answer:

Factors: (x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

Step-by-step explanation:

We are given a polynomial:

f(x)=x^4-x^3-2x-4

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

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8 0
3 years ago
I need help that is simple enough explnation
velikii [3]

Answer:

7 in both boxes

Step-by-step explanation:

In the picture, it shows

4 (x - 3) = 20

and then it shows

4 (x) - 4 (3) = 20

so practically you separate the x and 3 and put them in parentheses and then put a 4 next to both of them.

It should be the same as your question.

7 x (8 - 3)

and then separate 8 and 3 and put a 7 next to both of them.

( 7 x 8) - ( 7 x 3)

Hope it helps and have a great day! =D

~sunshine~

3 0
2 years ago
7 divided by 798 for homework
Allushta [10]
<span>7 divided by 798 is

1/114 for fraction form

0.008871989860583 for decimal form</span>
4 0
3 years ago
Which expression is equivalent to √120x<br> 2√30x<br> 2√30<br> 4√30x<br> 60√2x
Arte-miy333 [17]
The answer is a
√120x = √4 × √30x
= 2√30x
8 0
3 years ago
Read 2 more answers
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