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harkovskaia [24]
2 years ago
7

1. Jennifer can mow the lawn in 20 min. Kristen can mow the lawn in 30 min. If they work together, how long will it take them to

mow the lawn
Mathematics
1 answer:
vladimir1956 [14]2 years ago
7 0

Answer:

Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.

So he does 1/20 of the job per minute.

.

Rob can do the job in 30 min. His rate is 1/30 of the job per minute.

.

Working together how does it take?

.

1/20*x + 1/30*x = 1 job done

, where x = minutes.

.

Step-by-step explanation:

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If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present
Brums [2.3K]

The weight of substance remaining after 13 years is 2.25 g.

Given:

Present weight of substance = 12 g

After 8 years weight remains = 6 gm

Now, weight loss in 8 year will be,

12-6=6 gm

So, weight loss in 1 year will be,

\dfrac{6}{8} =\dfrac{3}{4}

Total weight loss in 13 year will be,

\dfrac{3}{4}\times13=9.75

The weight of substance remaining after 13 years will be,

12- 9.75 = 2.25 \;\rm g

Therefore, the weight of substance remaining after 13 years is 2.25 g.

To know more about radioactive decay, refer to the link:

brainly.com/question/12116123

5 0
3 years ago
The length of the base of a rectangle is two times the length of it's height . Find the length of the height if the area is 72 s
Veseljchak [2.6K]
2l^2 = 72
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6 0
4 years ago
-11=b\10-10 so what does b equal
larisa [96]
So b/10 has to be -1, that means b is -10
5 0
3 years ago
For the function given​ below, find a formula for the riemann sum obtained by dividing the interval​ [a,b] into n equal subinter
Nata [24]

We split [2, 4] into n subintervals of length \dfrac{4-2}n=\dfrac2n,

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so that the right endpoints are given by the sequence

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for 1\le i\le n. Then the Riemann sum approximating

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is

\displaystyle\sum_{i=1}^nf(x_i)\dfrac{4-2}n=\frac8{n^2}\sum_{i=1}^n(n+i)=\frac8{n^2}\left(n^2+\frac{n(n+1)}2\right)=\frac{12n+4}n

The integral is given exactly as n\to\infty, for which we get

\displaystyle\int_2^42x\,\mathrm dx=\lim_{n\to\infty}\frac{12n+4}n=12

To check: we have

\displaystyle\int_2^42x\,\mathrm dx=x^2\bigg|_2^4=4^2-2^2=16-4=12

7 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions 9x+6y=42
zzz [600]

Answer:

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2 years ago
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