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katovenus [111]
3 years ago
9

Jill swam 200 meters in 2 minutes and 42 seconds. If each lap is 50 meters long, which time is her estimated, time, in seconds,

per lap?
A. 32
B. 60
C. 48
D. 40
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

D. 40

Step-by-step explanation:

First, calculate the total time she took in seconds.

Convert minutes to seconds using 60 seconds = 1 minute

2 min X 60 s = 120 s

Total time = 120 s + 42 s = 162 s

Calculate the total number of laps.

Convert metres to laps using 50 metres = 1 lap

Laps = 200 m ÷ 50 m = 4 laps

Divide the total time by the number of laps to calculate the unit rate, which is time per one lap.

Since it says to <u>estimate, round 162 seconds</u>.

162 s ≈ 160 s

160 s ÷ 4 laps ≈ 40s/lap

Her estimated time per lap is 40s.

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How many minutes are there between 8:20 p.m. and 10:05 p.m.​
Fed [463]

Answer:

105 minutes.

Step-by-step explanation:

first you would subtract 60 by 20 to get 40 then your time would be at 9:00 so in order to get to 10:00 you would have 60 minutes which you would add the 40 to to get 100 minutes then add 5 to bring your time to 10:05 and your total number of minutes to 105

7 0
3 years ago
If 3 + root8 by 3-root8 + 3-root8 by 3+root8 = a+broot2 find a and b
s2008m [1.1K]

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables or numbers.

\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8  }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
2 years ago
Your neighbor needs to put a fence around her front yard and a seperate fence around her backyard. Her front yard is 65 feet lon
elena-14-01-66 [18.8K]
Front yard
65+65+45+45=220
Back yard
45+45+35+35=160
220+160=380
380 feet
5 0
3 years ago
Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?
snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = 10^{3} =1000 outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have x+y+z=1000

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

2x+z=1000

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3=\frac{10!}{3!7!} = 120 ways

So, 2x=2\times120=240

Thus z=1000-240=760

So, the probability is = \frac{760}{1000} = 0.76

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

4 0
2 years ago
Shane worked 8 hours per day for 3 days. Andrew worked 6 hours per day for 4 days. If the normal working week is 36 hours, which
creativ13 [48]
Shane:
8 x 3 = 24 Because it is 8h per day for 3 days. Per is like times
24h out of 36  24/36 GCF is 12 divide to and bottom by 12
24 / 12 is 2   36 / 12 is 3  2/3    Shane worked for 2/3 of 36h
Percentage: 100% / 3 (because there is 3 parts)= 33.333333333333 
33.33333333333 x 2 (because it is there is 2 parts needed) = 66.6666666666%
Shane has worked for 66.6666666666% of 36 hours
 
 Andrew:
 4 x 6 = 24 
Hey did you realise, the 24 is exactly the same! So the fraction would still be 2/3 of 36, and so on, there percentage is still the same, it's still 66.6666666666%

Answer: Both of Andrew and Shane has worked for the exact same time, therefore they have the exact same percentage         <span />
4 0
3 years ago
Read 2 more answers
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