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nirvana33 [79]
3 years ago
11

A runner ran 2/3 of a race in 21 minutes. They ran the entire race at a constant speed How long did it take to run the entire ra

ce?
Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

31.5 minutes

Step-by-step explanation:

21 / 2 = 10.5

10.5 x 3 = 31.5

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If DE = 37 cm and EF = 16 cm, then what are the possible lengths for DF so that DE,EF, and DF can form a triangle? Explain your
Molodets [167]

Answer:

The length of DF must be between 21 and 53.

Step-by-step explanation:

In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.

EF + DF > DE

16 + DF > 37

DF > 21

Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.

DE + EF > DF

37 + 16 > DF

53 > DF

With these two in mind, we know that DF must be between 21 and 53

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4 years ago
If f (x) = (3+x)/(x-3)<br> what is fa+2)?
RoseWind [281]

Answer:

\frac{a+5}{a-1}

Step-by-step explanation:

Given

f(x) = \frac{3+x}{x-3}

To evaluate f(a + 2) substitute x = a + 2 into f(x), that is

f(a + 2) = \frac{3+a+2}{a+2-3} = \frac{a+5}{a-1}

4 0
3 years ago
Michael has $70 in a savings account.The interest rateis 5% per year and is not compounded.How much will he have in 1year?
Alex17521 [72]

Answer:

$73.5

Step-by-step explanation:

The answer is simple, since he gets 5% every year, and its only been 1 year, just find 5% of 70 and add it together.

We can find 5% of 70 by multiplying 70 by .05.

70*.05=3.5

70+3.5=73.5

He will have 73.5 dollars.

Hope this helps!

3 0
4 years ago
In which quadrant does the point (-4,15) lie
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Quadrant one

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3 years ago
Diagonal of a rhombus are 6 and 8 what's the area of The rhombus
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It would be 48 cause one side is 8 and another is 6 multiple and the answer is 48
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3 years ago
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