Answer:
The solution is 2.5. The problem can be solved using the proportion:
2
4
=
x
5
Step-by-step explanation:
I hope it makes since =)
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.
Answer:
y = -4
x = 3
Step-by-step explanation:
Let's first explain when x = 0
Find where x = 0 on the graph. We are finding what the y-value would be. Trace down the y-axis along the vertical line x = 0. Where does the line intersect the y-axis when x = 0? The answer would be -4
The y-intercept is -4, and the x-value for this is 0, of course. So the correct answer for when x = 0 would be y = -4.
Next, we are told to find x when y = -2. Find where y = -2. Now, staying at y = -2, go horizontally along the x-axis at y = -2 until you reach the line. Boom! You should have connected up with the line at around x = 3. Therefore, when y = -2, x = 3
Answer:
5
10
4
7
Step-by-step explanation:
Apply the value of x into the expressions:
3(5) - 10 = 15 - 10
= 5
5² - 15 = 25 - 15
= 10
5(5) - 21 = 25 - 21
= 4
5 + 10 - 8 = 15 - 8
= 7
False because you can only use the Pyth. Theorem on right triangles which may not necessarily be ALL similar triangles.
