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jekas [21]
3 years ago
9

For his exercise today, Manuel plans to both run and swim. Let r be the number of laps he runs and let s be the number of laps h

e swims. Each lap he runs takes him 5 minutes, and each lap he swims takes him 2 minutes.
He wants to exercise for more than 30 minutes today. Using the values and variables given, write an inequality describing this.
Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0
5r+ 2s > 30
Explanation:
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Alya loves to read. She read 90 pages in half an hour. How many pages does she read per minute?
IgorC [24]

Answer: 3

90 pages in 30 minutes so divide 90 by 30 and 90 divided 30 = 3

Hope this helps!

6 0
3 years ago
Read 2 more answers
Assume that the growth rate of a population of ants is proportional to the size of the population at each instant of time. Suppo
Nutka1998 [239]
(1/A)  dA/dt=  C where A is the population of ants and C is a constant
ln(A) = C*t + C1 where C1 is another constant that comes out of integration and t is time in days.
Plugging in: at t=0, A= 100 so C1 = ln(100) = 4.605
at t=3, A=230 so ln(230) = 3*C +4.605 so C = 0.278
Final equation:
ln(A) = 0.278t + 4.605
or:
A = exp(0.278t + 4.605)
After 14 days, A = exp(0.278*14 + 4.605) = 4875.2
7 0
3 years ago
What is the equation of a line that goes through (9,-1) and is perpendicular to line 2y-3x=8
jonny [76]
Choicexs?














?????????????????????????
7 0
3 years ago
Solve:
riadik2000 [5.3K]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \dfrac{2x - 1}{5}  =  \dfrac{x -  2}{2}

\qquad \sf  \dashrightarrow \: 2(2x - 1) = 5(x - 2)

\qquad \sf  \dashrightarrow \: 4x - 2 = 5x - 10

\qquad \sf  \dashrightarrow \: 5x - 4x = -2 + 10

\qquad \sf  \dashrightarrow \: x = 8

Value of x is 8

8 0
2 years ago
Read 2 more answers
There are about 10^24 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way Galaxy. Abo
maks197457 [2]

Answer:

10^{13} galaxies.

Step-by-step explanation:

There are about 10^{24} stars in the universe.

The Milky Way galaxy10 * 10^{10} stars.

All we need to do to find the number of galaxies is to divide the total number of stars in the universe by the number of stars in the Milky Way:

Number of galaxies = (Number of stars in the universe) / (Number of stars in the Milky Way)

Number of galaxies = \frac{10^{24}}{10 * 10^{10}}

N = \frac{10^{24}}{10^{11}}

N = 10^{24 - 11} = 10^{13}

The number of galaxies in the universe is approximately 10^{13}.

7 0
3 years ago
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