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s2008m [1.1K]
3 years ago
5

Tracy ran a lap around the school track in 74.2 seconds. Malcolm ran a lap in 65.92 seconds. Estimate the difference in the time

s in which the students completed the lap.
Mathematics
1 answer:
Finger [1]3 years ago
5 0

Answer:

8.28 is the difference in times in which the students completed the lap.

Step-by-step explanation:

Subtract 74.20 and 65.92 and that gives you your answer.

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It's the 11th day of autumn and the first leaf has fallen! If the number of leaves on the ground is tripling with each passing d
AlekseyPX

Answer: 1,594,323

Step-by-step explanation:

No of leaves which falls daily on the first day = 1

No of days leaves falls = 14 days.

Solution:

No of leaves of day 1

= 1.

No of leaves on day 2

= 1*3

= 3

No of leaves of day 3

= 3*3

= 9

No of leaves of day 4

= 9*3

= 27

No of leaves on day 5

= 27*3

= 81

No of leaves on day 6.

= 81*3

= 243.

No of leaves of day 7

= 243*3

= 729

No of leaves on day 8

= 729 * 3

= 2187

No of leaves on day 9

= 2187 *3

= 6561

No of leaves on day 10

= 6561 * 3

= 19683

No of leaves on day 11

= 19683 * 3

= 59049

No of leaves on day 12

= 59049 *3

= 177147

No of leaves on day 13

= 531441

No of leaves on day 14

= 531441 * 3

= 1,594,323.

The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323

8 0
3 years ago
2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
Juli2301 [7.4K]
i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}


ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\&#10;\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}

4 0
3 years ago
It takes Jessica 1 1/2 hours to write 3 pages of her research paper. If she has to have a total of 10 pages, how long will it ta
murzikaleks [220]
It would take 5 hours because you take 3 and divide that by 1.5 & you get 2 so 5 multiplied by 2 is 10. it would take her 30 minutes per page
6 0
3 years ago
Read 2 more answers
Michael and Michelle are at a restaurant. When leaving, they decide to leave an 18% tip. Michael states that in order to figure
Marta_Voda [28]

Michelle’s method WILL work because we have to add an extra 18% to the already total (100) michaels way would work if the tip was apart of the bill, but it is extra . Hence, Michelle’s method being correct

5 0
3 years ago
Read 2 more answers
Provide in simplest form <br> 12% of 40
AnnZ [28]
To get 10% of 40, you move the decimal point one way to the left. So 10% of 40 is 4
Now you need 2% and because you know 10% is 4, you divide that by 10 and multiply it by 2 because of the 2%
4/10=.4 .4•2=.8
Now you add them
4+.8=4.8
12% of 40 is 4.8
7 0
3 years ago
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