A punch contains 60% of grape juice and the rest is lemon - lime soda ( 2 liters).
Part A:
An equation is:
0.6 x + 2 = x,
where x stays for the liters of punch.
Part B:
x - 0.6 x = 2
0.4 x = 2
x = 2 : 0.4
x = 5 liters
Grape juice = 5 - 2 = 3 liters.
Answer: There are 3 liters of grape juice in the punch.
Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀
= 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.
9514 1404 393
Answer:
DE = 86
EF = 84
Step-by-step explanation:
We assume that point E lies on segment DF, so that ...
DE + EF = DF
(3x +20) +(2x +40) = 170
5x = 110 . . . . . . . . . . . . . . . collect terms, subtract 60
x = 22 . . . . . . . . . . . . divide by 5
DE = 3×22 +20 = 66 +20 = 86
EF = 2×22 +40 = 44 +40 = 84
-5 and 1/10
try to convert tomixed fraction
1=10/10 in this problem
-5=-50/10
add
-50/10-1/10=-51/10
another form is decimal form
-5 and 1/10
1/10=0.1
-5.1 is another answer