When multiplying fractions, simply multiply the numbers straight across. First, multiply the numerators to get 8. Then, multiply the denominators and you'll get 15.

6 0

3 years ago

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Justin drinks 1 litter of water.He drank 2,000 litters at his game.How many during his game and his practice?Explain.

djverab [1.8K]

The question is incomplete. The complete question is :

Justin drinks 1 litter of water during the soccer practice. He drank 2,000 milliliters of water at his game. How many liters of water did he drink during his game and his practice? Explain.

Solution :

It is given that :

During practice, Justine drank = 1 liter of water

During game, Justine drank = 2000 milliliters of water

We know that,

1 liter = 1000 mL

Therefore, during the game, Justine drank :

1000 mL = 1 liter

∴ 2000 mL = 2 liter

So Justine drank 2 liters of water during his soccer game and 1 liter of water during his practice.

7 0

3 years ago

The population of mosquitoes in a certain area as a function of inches of rainfall is modeled in the table. The function is quad

torisob [31]

Answer:

The x-intercept represents that after 10 in. of rain there are mosquitoes.

The x-intercept represents that after 0 in. of rain there are no mosquitoes.

Step-by-step explanation:

We are given a table that represents the population of mosquitoes in a certain area as a function of inches of rainfall :

RAINFALL(in.) POPULATION (millions.)

0 0

1 9

3 21

4 24

5 25

6 24

We will first find the function P(t) which denotes the number of mosquitoes after t inches of rainfall.

As the function is quadratic.

Hence , let:

$P(t)=at^2+bt+c$

At t=0 we have, P(t)=0

$c=0$

at t=1 we have: P(t)=9

i.e.

$a+b=9-----(1)$

Also at t=2 we have: P(t)=21

i.e.

$9a+3b=21-------(2)$

On solving equation (1) and (2) we get:

a= -1 and b=10

Hence,

$P(t)=-t^2+10t$

We know that the x-intercept of a graph is a point where the y-value is zero.

i.e. it is the inches of rainfall when the population of mosquitoes is zero i.e. there are no mosquitoes.

i.e. we have to find t such that:

P(t)=0

i.e.

$-t^2+10t=0\\\\i.e.\\\\t(10-t)=0\\\\i.e.\\\\ t=0\ or\ t=10$

Hence, we have got two x-intercept.

one at t=0 and the other at t=10.

The x-intercept represents that after 10 in. of rain there are no mosquitoes.

The x-intercept represents that after 0 in. of rain there are no mosquitoes.

5 0

4 years ago

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