Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2
Now we just have a simple equation to solve:
1/3x = 1/2
x = (1/2) / (1/3)
Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore
x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5
To check this answer, test the statement. Half is a third of x, where x=1.5:
1.5 / 3 = 0.5 = 1/2
Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
First, you must use a factor tree to find the prime factors of the number.
12
/ \
6 (2)
/ \
(3) (2)
2 , 2 and 3 are the prime factors that make 12
2 x 2 x 3= 12
Or
2^2 x 3= 12
Answer:
Ted will need 
cups of pretzels to make 15 cups of trail mix.
Step-by-step explanation:
Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.
So, 1/4 cup of pretzels to make 1 trail mix
x cups of pretzels to make 15 trail mix
Using the ratio and proportional
∴ x = (1/4) * 15 = 3.75 = cups.
<u>Ted will need </u><u> cups of pretzels to make 15 cups of trail mix.</u>
