Answer:
Distributive property
Step-by-step explanation:
In order to solve this equation we first need to distribute 3 into 2y+5, we use the distributive property to do this.
The number is 17 61/100. 61/100 can't be reduced, because 61 is a prime number.
#2: 4 cans : $2.36 = 13 : $7.67 SCALE FACTOR: $7.67 divided by $2.36 = 3.25
Use the SF to multiply the missing information.
So 4 cans x 3.25 = 13
YOU CAN BUY 13 CANS FOR $7.67
#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes = : : 35 pancakes
SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
So: 2 eggs x 3.5 = 7
7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES
#6: 54 pounds: 1 acre = pounds: 12.5 acres
SCALE FACTOR: 12.5 divided by 1 acre= 12.5
Use the SF to find out the mussing information
So, 54 pounds x 12.5 = 675 pounds
THE FARMER CAN HARVEST 675 POUNDS WITH 12.5 ACRES OF FIELD
#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours)
SCALE FACTOR: 225 miles divided by 90 miles = 2.5
Use the SF to figure out the missing information
So, 120 minutes multiplied by 2.5 = 300 minutes (5 hours)
IT WILL TAKE 5 HOURS TO DRIVE 225 MILES
Mark received £ 132
<em><u>Solution:</u></em>
Given that £440 is divided between David, Mark & Henry
Let "d" be the share of david
Let "m" be the share of mark
Let "h" be the share of henry
Total amount is 440
Therefore,
share of david + share of mark + share of henry = 440
d + m + h = 440 ------- eqn 1
<em><u>David gets twice as much as Mark</u></em>
d = 2m ----- eqn 2
<em><u>Mark gets three times as much as Henry</u></em>
m = 3h
------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
Thus Mark received £ 132
