The 10 tons should have 37.9% cement.
Let the 25% mixture be x tons
Then the 68% mixture will be (10 -x) tons.
Using formula for mixtures:
Let p for percentage and w for weight in tons.
p₁w₁ + p₂w₂ = pw
25*x + 68*(10-x) = 37.9*10
25x + 680 - 68x = 379
680 - 43x = 379
680 - 379 = 43x
301 = 43x
43x = 301
x = 301/43
x = 7
Recall that x, was for the 25% mixture, 7 tons.
a) For the 68% mixture, = 10 - x = 10 -7 = 3 tons.
b) For the 25% mixture = x = 7 tons.
Factor <span><span><span><span>2<span>x3</span></span>+<span>7<span>x2</span></span></span>−<span>3x</span></span>−18</span><span><span><span><span>2<span>x3</span></span>+<span>7<span>x2</span></span></span>−<span>3x</span></span>−18</span><span>=<span><span><span>(<span>x+2</span>)</span><span>(<span>x+3</span>)</span></span><span>(<span><span>2x</span>−3</span>)</span></span></span>Answer:<span><span><span>(<span>x+2</span>)</span><span>(<span>x+3</span>)</span></span><span>(<span><span>2x</span>−3</span><span>)</span></span></span>
Answer:
667/1000
Step-by-step explanation:
Answer:
P(A) = 0.5
Step-by-step explanation:
Look from the tree root (left) and find A.
When you reach the first branch that shows A, the probability is on it's left, so
P(A) = 0.5
Answer:
1) 1/7
2) 1/3
3) 1/4
Step-by-step explanation:
1) Since there are 7 days in a week it can be expressed as the fraction 1/7
2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3
3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4