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Amanda [17]
3 years ago
6

Clare spent a total of 25 minutes at the track. she spent 5 minutes stretching and walking 4 laps around the track. if she walke

d at a constant pace, how long did it take her to walk each lap? what was her pace in inches per second?
a. write an equation to represent the time clare spent at the track. use x to represent the time it took her to walk one lap.
____+____x=_____

b. solve the equation for x to find the time it takes clare to walk one lap

c. after clare walked one lap around a track, her fitness tracker measured the distance as 0.272 miles. the actual of the track is 0.25 miles. is her tracker accurate? is it precise? explain ur answer

d. convert 0.272 miles to inches. according to her fitness tracker, how many inches did clare walk? round your answer to the nearest inch.
* HINT : THERE ARE 5280 FEET IN 1 MILE, & 12 INCHES IN 1 FOOT)

e. convert 5 minutes to seconds
Mathematics
1 answer:
Anna007 [38]3 years ago
5 0
A) 5 + 4x = 25
B) x = 5
C) It is not accurate but it is precise.
D) 17234 in
E) 300 seconds

For A, she spends 5 minutes stretching and walks 4 laps at unknown speed x.  This gives us 5 + 4x.  She spends a total of 25 minutes at the track, so we have
5+4x = 25

For B, we solve this by first subtracting 5 from both sides:
5 + 4x - 5 = 25 - 5
4x = 20

Now we divide both sides by 4:
4x/4 = 20/4
x = 5

For C, it is not accurate because the measurement it gives is not exactly 0.25 miles.  It is precise, however, as it does not vary greatly.

For D, we first multiply 0.272 by 5280:  0.275(5280) = 1436.16 ft.  Now we multiply by 12:
1436.16(12) = 17233.92 in ≈ 17234 in

For E, we take 5 minutes and multiply by 60:
5(60) = 300 seconds
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4 0
3 years ago
What are the restrictions for a? 2a^2+a-15/5a^2+16a+3
koban [17]

ANSWER


The restrictions are

a\ne -3,a\ne -\frac{1}{5}


EXPLANATION


We were given the rational function,


\frac{2a^2+a-15}{5a^2+16a+3}


The function is defined for all values of a, except



5a^2+16a+3=0


This has become a quadratic trinomial, so we need to split the middle term.


We do that by multiplying the coefficient of x^2 which is 5 by the constant term which is 3. This gives us 15.


The factors of 15 that adds up to 16 are 1 and 15.


We use these factors to split the middle term.




5a^2+15a+a+3=0


We now factor to get,


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We factor further to get,


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This implies that,


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8 0
3 years ago
If line lis parallel to line m, find the value of x and y. (please help taking a test)
castortr0y [4]

Answer:

x=8 and y=21

Step-by-step explanation:

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12x-7x=12+28

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3 0
3 years ago
Please help thanks this is due today!
kondaur [170]

D. ({ - 8})^{2}  - 9 + ( - 7) ✅

Step-by-step explanation:

{( - 32 \div4 })^{2}  - 9 + ( - 7) \\  \\  =  ({ - 8})^{2}  - 9 +(- 7 )\\  \\=64-9-7\\\\  = 64 - 16 \\  \\  = 48

<u>Note</u>:-

\sf\red{PEMDAS\: rule.}

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\sf\red{(+\:x\:-)\:=\:-}

\sf\red{(-\:x\:-)\:=\:+}

\bold{ \green{ \star{ \orange{Mystique35}}}}⋆

7 0
3 years ago
Estimste 7.462 + 1.809 tenths
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9.771 hope I helped ya out
8 0
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