Answer:
3.5
Step-by-step explanation:
17.50 divided by 5 is 3.5 so 1 pound is 3.5
Answer:
960219478/100000000000
Step-by-step explanation:
Answer:
Plane Speed (x) = 378 mph
Step-by-step explanation:
Equation
d = r * t
Givens
With the wind
- d = 1680 miles
- t = 4 hours
- r = x + y
Against the wind
- d = 1680
- t = 5 hours
- r = x - y
Equation
The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.
(x + y)*4 = (x - y)*5 Remove the brackets on both sides
Solution
- 4x + 4y = 5x - 5y Subtract 4x from both sides
- 4y = -4x + 5x - 5y Combine
- 4y = x - 5y Add 5y to both sides
- 5y + 4y = x
- x = 9y
Solution part 2
Now take one of the distance formulas and solve for x first then y.
- (x - y)*5 = 1680 Substitute 9y for x
- (9y - y)*5 = 1680 Subtract on the left
- 8y * 5 = 1680 Multiply on the left
- 40y = 1680 Divide by 40
- y = 1680/40
- y = 42 That's the speed of the wind.
- (x - y)*5 = 1680 Substitute the wind speed for y
- (x - 42)*5 = 1680 Divide both sides by 5
- (x - 42) = 1680 / 5 Do the division on the right
- (x - 42) = 336 Add 42 to both sides.
- x = 336 + 42
- x = 378 mph Plane's speed
Answer:
a) 18 quarts of sparkling water
b) 1.875 quarts of grape
Step-by-step explanation:
Question 2 Fill in the blanks to complete the sentence.
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
a. How much sparkling water would you need to mix with 9 quarts of grape juice?
3/4 quarts of grape = 1 1/2 quarts sparkling water
9 quarts of grape = x
x = (9 × 1 1/2) ÷ 3/4
x = (9 × 3/2) × 4/3
x = 27/2 × 4/3
x = 18 quarts of sparking water
b. How much grape juice would you need to mix with 15/4 quarts of sparkling water?
1 1/2 quarts of sparkling water = 3/4 quarts of grape
1 5/4 quarts of sparkling water = x
x = (3/4 × 15/4 ) ÷ 1 1/2
x = (0.75 × 3.75 ) ÷ 1.5
x = 1.875 quarts of grape
c. How much of each ingredient would you need to make 100 quarts of punch?
Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts
