Answer:
The number of gallons of Pi Up required is 900 gallons.
Step-by-step explanation:
Two different drinks that are produced by the beverage producer are Pi Cola which contains 10% Cola and Pi Up which contains 50% cola.
A solution is to be created using Pi Cola and Pi Up to create a new product containing 40% cola.
It has been mentioned that the number of gallons of Pi Up to be used is 300 gallons.
We can write that the number of gallons of Pi Up that must be mixed with 300 gallons of Pi Cola be x gallons.
So we write the first equation and we can say that the total number of gallons of the solution is x + 300.
Equating the percentage of cola from each beverage to get the required 40% cola we can write
(0.1 × 300) + (0.5 × x) = 0.4 × ( x + 300)
If we solve for x from the above equation we get
(0.5 x + 30) = (0.4 x + 120)
⇒ 0.1 x = (120 - 30) = 90
⇒ x = 900 gallons
Therefore the number of gallons of Pi Up required is 900.
Answer:
f(2) = 3
f(5/2) = 5
f(½) = -3
Step-by-step explanation:
Given the linear function f(x) = 4x - 5:
<h3>f(x) = 3</h3>
3 = 4x - 5
3 + 5 = 4x - 5 + 5
8 = 4x
8/4 = 4x/4
2 = x
Therefore, when f(x) = 3, x = 2.
<h3>f(x) = 5</h3>
5 = 4x - 5
5 + 5 = 4x - 5 + 5
10 = 4x
10/4 = 4x/4
5/2 = x
Therefore, when f(x) = 5, x = 5/2.
<h3>f(x) = -3</h3>
-3 = 4x - 5
-3 + 5 = 4x - 5 + 5
2 = 4x
2/4 = 4x/4
½ = x
Therefore, when f(x) = -3, x = ½.
(-5, 12). Cosecant is the reciprocal of sine. Since csc theta =13/12, sin theta=12/13. We can narrow down to two angles, one in first quadrant and one in second quadrant. We are also given sec theta=-13/5, so cos theta=-5/13. Thus the angle is in the second quadrant. tan theta=1/cot theta=-12/5, so point (-5, 12) is on the ray.
Answer:
5/16 i think
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
4x6=24
6x8=48
24/24=1
48/24=2
Therefore, it is 1/2
