The amount of time it takes to finish a race might be a function of?

1. The campus demographics state that 40% of the students are male. If there are 300 students, how many are male?

xxMikexx [17]

Answer:

120 males

Step-by-step explanation:

Well you need to set up your proportions which should look like this x/300 and 40%/100%.You need to cross multiply meaning you need to multiply 300 and 40 which equals to 12,000 then you will divide 12,000 by 100 and get 120

3 0

3 years ago

A. Find the common factors of 12 and 20.

Alchen [17]

Answer:

a. Common factors of 12 and 20 = 2, 2

2. Highest common factor of 12 and 20 = 4

3 packs of workbooks and 5 packs of text books to be purchased.

Step-by-step explanation:

a.) To find the common factors of 12 and 20:

First of all, let us find the factors of 12 and 20

12 = 2 $\times$ 2 $\times$ 3

20 = 2 $\times$ 2 $\times$ 5

The common factors are underlined above i.e. 2, 2.

2. The highest common factor between 12 and 20 is 2 $\times$ 2 = 4

-------------------------------------------

Workbooks are in packs of 25

Textbooks are in pack of 15

The school needs exactly same number of workbooks and textbooks.

And we have to find such least number.

This least number can simply be calculated by finding the LCM (Least Common Multiple).

LCM of two numbers p and q is the minimum number which is completely divisible by both the numbers p and q.

Let us find LCM of 25 and 15 using factorization method:

15 = 3 $\times$ 5

25 = 5 $\times$ 5

The common part is considered only once:

So LCM = 3 $\times$ 5 $\times$ 5 = 75

Hence, number of packs of workbooks to be bought = $\frac{75}{25} = 3$

number of packs of textbooks to be bought = $\frac{75}{15} = 5$

So, the answer are:

a. Common factors of 12 and 20 = 2, 2

2. Highest common factor of 12 and 20 = 4

3 packs of workbooks and 5 packs of text books to be purchased.

8 0

4 years ago

Who is taking in more calories if the small bags of Snickers are the exact same size: A person in a group where 5 people are sha

alukav5142 [94]

Answer:

7 people sharing 2 bags

Step-by-step explanation:

7/2<5/3

6 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.

Or

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.

Or

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

5 0

4 years ago

Read 2 more answers

What is the sum for 2x+10?

Temka [501]

Hey there!

2x + 10

= 2(x + 5)

BECAUSE….

= 2(x + 5)

= 2(1x + 5)

= 2(1x) + 2(5)

= 2(x) + 2(5)

= 2x + 10

2x + 10 = 2x + 10 is true ✔️

Therefore, your answer is: 2(x + 5)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

4 0

2 years ago