Answer:
Step-by-step explanation:
Let the length and breadth of the rectangle be a,b units respectively.
Then the area will be ab square units.
Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.
Then new area will be (a−5)(b+2).
Then according to the problem,
(a−5)(b+2)−ab=−80
or, 2a−5b=−70.......(1).
Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.
Then new area will be (a+10)(b−5).
Then according to the problem,
(a+10)(b−5)−ab=50
or, 10b−5a=100
or, 2b−a=20
or, 4b−2a=40......(2).
Now adding (1) and (2) we get
−b=−30
or, b=30.
Putting the value of b in (1) we get, a=40.
Now a+b=40+30=70.
If you are having trouble with ratios, turn them into fractions.
ex; 3 : 5 = 3/5, 8 : 10 = 8/10, 6 : 15 = 6/15
After you have turned all of your ratios into fractions, you can find a common denominator for all the fractions.
ex; 3/5, 8/10, 6/15 ⇒ 3/5, 4/5, 2/5
Now it you can easily order the ratios from least to greatest.
ex; 6 : 15, 3 : 5, 8 : 10
Each muffin costs about .88 cents since you do the unit rate and then you multiply both numerator and denominator by 12 which gets you $10.56. Therefore, for twelve muffins it costs $10.56 and per muffin it’s .88 cents
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
a. Calculation to determine How many quarts did they make.
Given: 1 gallon =5 quarts
Hence:
5 gallons of lemonade=5×5 quarts of lemonade
5 gallons of lemonade=25 quarts of lemonade
b. Calculation to determine how much money will they make if they sell it all
Given: 1 quarts=$2.50
Hence:
25 quarts=25 ×$2.50
25 quarts=$62.50
Inconclusion:
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
Learn more here:
brainly.com/question/13442515
Answer:
infinite
Step-by-step explanation:
to simplify 4=4 meaning all solutions are true
