Answer:
26/3 or 8.66666 (8.6 with a line over the 6)
Step-by-step explanation:
According to the problem, 13/2 pounds is only 3/4 of a quart. A unit rate, however, has a denominator value of 1. To solve this question, we must change the value of 3/4 to 1.
The first step to this is changing 3/4 to 1/4. This means affecting the value 13/2 pounds. 1/4 is a third of 3/4. We must find a third of 13/2 to properly change this relationship. So, we should do 13/2 ÷ 3. This can also be written as 13/2*3. So, a third of 13/2 is 13/6. Our new relationship is 13/6 pounds = 1/4 quart.
Now, we can multiply 13/6 and 1/4 by 4 to get ? and 4/4, or 1. We can multiply the numerator by 4 to finish this step. 13/6 becomes 13*4/6, which equals 52/6. 52/6 can be divided by 2 to simplify the fraction and becomes 26/3.
So, the <em>unit rate of 13/2 pounds per 3/4 quart is 26/3</em>. 26/3 can also be written as 8.66666, or 8.6 with a line over the 6, in decimal form.
Answer:
= 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
= 10 + 10(n - 1) = 10 + 10n - 10 = 10n
Volume of a cylinder = πr^2 h = π x (2)^2 x 3 = π x 4 x 3 = 12π = 37.7 cm^3
Not paying bills on time, or buying something you cant pay off.