Answer:
8.46 gallons needed to be replaced
Step-by-step explanation:
Let x be the alcohol amount that replaced
-Original has concentration of 15% multiply by the amount of 10 ,which is equal to (0.15×10).
-Removed has concentration of 15% multiply by the amount of x ,which is equal to (0.15 × X).
-Added has concentration of 80% multiply by the amount of X ,which is equal to (0.8× X).
-Solution has concentration of 70% multiply by the amount of 10 ,which is equal to (0.70×10).
So that, the equation will be:
Solution=Original + added - removed
7=1.5+0.8x-0.15x
7-1.5=0.65x
0.65x=55
x=55/0.65
x=8.46
8.46 gallons needed to be replaced.
To get 76% of 75 you turn the fraction to a decimal, then multiply it to the number. 76% as a decimal us 0.76 and 0.76 * 75 = 57
So, Ciaran got 57 out of 75 questions right.
Answer:
$12 per hour
Step-by-step explanation:
On the graph it shows he earned $24 in 2 hours, so divide how much he earned by two to get the amount he earned in just one.
Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
Your answer should be the 3rd choice. There is no solution.
