We are given equations y =3.5x and y=25x +40.50.
Where x represent time in hours and y represents cost in dollars.
We need to determine that which equation is not the equation of a proportional relationship?
In first equation we have slope 3.5 and y-intercept 0.
In second equation, we have slope 25 and y-intercept 40.50.
<em>In order to have a a proportional relationship, there should be y-intercept =0.</em>
<h3>Therefore, y= 25x + 40.50 is not the equation of a proportional relationship.</h3>
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:
5 - 1/12x.
Step-by-step explanation:
1/4x + 3 - 1/3x + (2)
= 1/4 x - 1/3 x + 3 + 2
= 3/12 x - 4/12 x + 5
= -1/12 x + 5.
9514 1404 393
Answer:
D, F
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you with this. It reminds you ...
Sin = Opposite/Hypotenus
sin(40°) = x/b . . . . matches D
Cos = Adjacent/Hypotenuse
<em> cos(40°) = a/b . . . . no match</em>
Tan = Opposite/Adjacent
tan(40°) = x/a . . . . matches F
