Answer:
54 square feet
Step-by-step explanation:
The width of the rectangle ABCD is 8 feet and the area of the same rectangle is 96 square feet.
Hence, the length of the rectangle is (96 ÷ 8) = 12 feet.
Now, if the rectangle ABCD is dilated to rectangle A'B'C'D', then the length and the width of the new rectangle will be changed in the same ratio.
So, 
{Where AB is the length and BC is the width}
⇒ 
⇒ A'B' = 9 feet
Therefore, the area of the dilated rectangle A'B'C'D' will be A'B' × B'C' = 9 × 6 = 54 square feet. (Answer)
Answer:
1A) 2 gallons of 20% solution and 3 gallons 15% solution needed
1B) 4 gallons of 20% solution and 1 gallons 15% solution needed
Step-by-step explanation:
1A) adding 20% salt and 15% water making 5 gallons of 17%
20% salt + 15% salt = 5 gallons of 17% salt
0.20x + 0.15(5 - x) = 0.17(5)
0.20x + 0.75 - 0.15x = 0.85
0.20x + 0.75 - 0.75 - 0.15x = 0.85 - 0.75
0.20x - 0.15x = 0.10
0.05x = 0.10
0.05x/ 0.05 = 0.10/0.05
x = 2 gallons (amount of 20% solution needed)
5 - x = 5 - 2 = 3 gallons (amount of 15% solution needed)
1B)
0.20x + 0.15(5 - x) = 0.19(5)
0.20x + 0.75 - 0.15x = 0.95
0.20x + 0.75 - 0.75 - 0.15x = 0.95 - 0.75
0.20x - 0.15x = 0.20
0.05x = 0.20
0.05x / 0.05 = 0.20/0.05
x = 4 gallons (amount of 20% solution needed)
5 - x = 5 - 4 = 1 gallons (amount of 15% solution needed)
Learn more about System of Equations here: brainly.com/question/12526075
Hello!
Any decimal would be 0.51 all the way to 0.74.
Have a wonderful day! :)
-L
Answer:
Part A:
Blueprint 10 inches ⇒ Actual 35 feet
Blueprint 20 inches ⇒ Actual 70 feet
Part B:
The cost of the cover is $857.5
Step-by-step explanation:
Part A:
∵ The drawing scale is 2 inches for 7 feet
∵ The length = 20 inches and the width = 10 inches
∴ The actual length = (20 × 7) ÷ 2 = 70 feet
∴ The actual width = (10 × 7) ÷ 2 = 35 feet
Part B:
∵ The cost per square foot = $0.35
∵ The area of the pool = 70 × 35 = 2450 feet ²
∴ The cost of the cover = 2450 × 0.35 = $857.5
We can find the amount of calories it has by taking 25% of 2000:
0.25 x 2000
= 500
Percentage of 2500 calorie diet:
500/2500 x 100
= 20%
The drink constitutes 20% of a 2500 calorie per day diet..
