Answer: x=8
Step-by-step explanation:
Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.
6x+13+4x-3=90 [combine like terms]
10x+10=90 [subtract both sides by 10]
10x=80 [divide both sides by 10]
x=8
Now, we know that x=8.
Answer:
Gabe needs 20 liters of the 40% solution.
He also needs 40 liters of the 70% solution.
Step-by-step explanation:
Equation:
acid + acid = acid
0.40x + 0.70(60-x) = 0.60*60
40x + 70*60 - 70x = 60*60
-30x = -10*60
x = 20 liters
Gabe needs 20 liters of the 40% solution.
He also needs 40 liters of the 70% solution.
Answer:
x = 16
y = 16√3
Step-by-step explanation:
sin(30 degrees) = 1/2
x = 32/2 = 16
cos(30 degrees) = √3/2
y = 16√3
Pour 4 times of 124-gallon into a big jug.
Amount of water = 124 x 4 = 496 gallons
Then use the 45-gallon jug to scoop out the water 11 times.
Amount of water scooped out = 11 x 45 = 455 gallons
Water remaining = 496 - 450 = 1 gallon.
