Suppose a population has a doubling time of 25 years. By what factor will it grow in 25 years? 50 years? In 100 years?


Answer 1


2,4, and 8.

Step-by-step explanation:

If the population has a doubling time of 25 years, that means that in 25 years the population will double. So for 25 years, the factor will be 2. For 50 years, the factor would be 2x2, which is 4. For 100 years, it is 4x2 which is a scale factor of 8.

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40 percent of 112.5%
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The bases on a softball diamond are 60ft apart. How far is it from home plate to second base


ok so I ams assuming that
from home to 1 is 60
from 1 to 2 is 60
from 2 to 3 is 60
from 3 to home is 60

so we have a squaer
from home to second base
that is a diagonal line through the square

find the distance

we see that we have 2 right triangles with legs 60 and 60
use pythagoren theorem to find hypotonuse (longest side)

square root both sides
about 85 ft

Least to greatest fractions 1/2, 2/5, 6/10


2/5, 1/2, 6/10 is the order from these fractions from least to greatest.

To solve this problem, we must put all of the fractions into a common denominator.  In this instance, we shall choose 10.

2/5 = 4/10
1/2 = 5/10
6/10 = 6/10

Therefore, because we now have all the fractions in a common denominator, we know that 4<5<6, so the fractions should be arranged in the order above.

Olivia has 109 pennies. Liza has 2,457 dimes. Chris has 8,078 quarters. How much money in total do they have altogether


109*0.01+2457*0.1+8078*0.25=2266.29 dollars

atiba plays for the linden woods vipers in the winnipeg youth soccer league the ratio of players to soccer balls at practice sessions is 5:2 how many soccer balls are needed for 20 players




Step-by-step explanation:

Divide 20 by 5 to get 4 then multiply that why 2.

Factor the expression 15 X -5


5(x-3) is the factored form.

in a classroom, 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. there are 36 students in the class. how many students are wearing a shirt other than blue or white?


The best thing to do here is to find out what one part is equal too, add these up and then subtract it from the original number.
As 1/6 of the students are wearing blue shirts, you need to find out what 1/6 is. 
As there are 36 students, you need to divide this by 6 to get one part.
Therefore, there are six students wearing blue shirts.
As there are 2/3 students wearing white shirts, you need to find out what 2/3 of 36 is. 
The best thing to do is to find 1/3 then double it.
To do this, divide 36 by 3.
36/3= 12
12*2= 24
Therefore, there are 24 students wearing white shirts.
As you're looking for the students that aren't wearing blue and white, you need to add the total together, and then subtract this from 36.
36-30= 6
Therefore, there are 6 students that are wearing shirts that aren't blue or white.
Hope this helps :) 

Number of students that are wearing a shirt other than blue or white is 6 students

Further explanation

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !


Total Number of Students = 36 students

¹/₆ of the students are wearing blue shirts.

\texttt{Blue Shirt Students} = (1)/(6) * \texttt{Total Number of Students}

\texttt{Blue Shirt Students} = (1)/(6) * 36

\texttt{Blue Shirt Students} = \boxed{6}

²/₃ of the students are wearing white shirts.

\texttt{White Shirt Students} = (2)/(3) * \texttt{Total Number of Students}

\texttt{White Shirt Students} = (2)/(3) * 36

\texttt{White Shirt Students} = \boxed{24}

Finally, the number of students wearing other clothes can be found in the following way:

\texttt{Other Shirt Students} = \texttt{Total Number of Students} - \texttt{Blue Shirt Students} -\texttt{White Shirt Students}

\texttt{Other Shirt Students} = 36 - 6 - 24

\texttt{Other Shirt Students} = 36 - 30

\texttt{Other Shirt Students} = \boxed{6}

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent