Answer:
10 track practices
Step-by-step explanation:
16 divided by 8 is 2, which means that each track practice, she ran 2 miles. So then I did 20 divided by 2 is 10, which means that she ran 20 miles in 10 track practices.
30 bags: each pound can make 5 bags (1/5) so 6 x 5 = 30
3 1/2 * 6 1/2
3 1/2 to improper fraction = (3*2 + 1) / 2 = 7/2
6 1/2 to improper fraction = (6*2 + 1) / 2 = 13/2
3 1/2 * 6 1/2 = 7/2 * 13 /2 = 91 / 4
91 / 4
= 22 3 /4 square unit
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Algebraic Manipulation</u>
It refers to the process of modifying algebraic expressions, often into a simpler form or more easily handled and dealt with.
It also helps us to prove some identities.
We are given the relations:
a + m = n
n = 4a
Substituting the last equation in the first, we have:
a + m = 4a
Subtracting a on both sides of the equation:
m = 4a - a
Simplifying:
m = 3a
Hence proved
Let our basis be worth 1 dollar. A nickel's worth is $0.05. In order to come up with $1, the number of nickels should be:
Number of nickels = $1 * 1 nickel/$0.05 = 20 nickels
Thickness of 20 nickels = 20 nickels * 1.95 mm = 39 mm
Let's do the same for the quarters. Each quarter is worth $0.25.
Number of quarters = $1 * 1 quarter/$0.25 = 4 quarters
Thickness of 4 quarters = 4 quarters * 1.75 mm = 7 mm
Find the ratio of the two:
39 mm/7 mm = 5.57
Therefore, a stack of nickels is 5.57 times thicker than a stack of quarters worth one dollar.
