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2 years ago

If Mia can run 15 laps in 24 minutes, how many minutes will it take her to run 20 laps

Mathematics

2 answers:

Galina-37 [17]2 years ago

6 0

Answer:

32 minutes

Step-by-step explanation:

24/15 = 1.6 laps per minute

1.6 * 20 = 32 minutes

umka21 [38]2 years ago

4 0

Answer:

15=24

20=x

cross multiply

15x=24*20

15x=480

divide both sides by 15

x=480/15

x=32

it will take her 32 minutes

You might be interested in

What do you add to 4 1/9 to make 6?

Tema [17]

Answer:

1 8/9

Step-by-step explanation:

4 1/9 + 1 8/9=6 ........

5 0

2 years ago

1. The number of rabbits on an island is increasing exponentially.

Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

$50=P_o(1+r)^1$

$50=P_o(1+r)\qquad\qquad[1]$

$72=P_o(1+r)^5\qquad\qquad[2]$

Dividing [2] by [1]:

$\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}$

Solving for r:

$\displaystyle r=\sqrt[4]{\frac{72}{50}}-1$

Calculating:

r=0.095445

From [1], solve for Po:

$\displaystyle P_o=\frac{72}{(1+r)^5}$

$\displaystyle P_o=\frac{72}{(1.095445)^5}$

$P_o=45.64355$

The model can be written now as:

$P=45.64355(1.095445)^t$

In year t=10, the population of rabbits is:

$P=45.64355(1.095445)^{10}$

P = 113.6

$P\approx 114$

There are approximately 114 rabbits in the year 10

5 0

2 years ago

Find the mean, median, and mode of the listed numbers.

-BARSIC- [3]

Step-by-step explanation:

mean: (3 + 2 + 7 + 7 + 3 + 8 + 5 + 7 + 2 +8)/10 = 5.2

median: 2, 2, 3, 3, 5, 7, 7, 7, 8, 8 hence median is (5 + 7) / 2 = 6

mode: 7

Topic: mean median mode

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

3 0

2 years ago

The sets D and J are given below.

sveta [45]

D n J = {7,8} (intersection)

Values that satisfy both sets.

D u J = {-1,1,4,5,7,8} (union)

All values present in both sets.

3 0

3 years ago

The table shows data gathered by an environmental agency about the decreasing depth of a lake during the first few months of a d

Elanso [62]

(0,346)(2,344.8)
slope = (344.8 - 346) / (2 - 0) = -1.2 / 2 = -0.6

y = mx + b
slope(m) = -0.6
(0,346)...x = 0 and y = 346
now we sub and find b, the y int
346 = -0.6(0) + b
346 = b
so ur equation is : y = -0.6x + 346....with x being the number of weeks

after 4 weeks...
y = -0.6(4) + 346
y = - 2.4 + 346
y = 343.6 <==== after 4 weeks

after 9 weeks..
y = -0.6(9) + 346
y = -5.4 + 346
y = 340.6 <=== after 9 weeks

7 0

3 years ago