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.
Step-by-step explanation:
12 degrees is 1 person
360÷30people=12
Answer:
x = -1/2 , 4
Step-by-step explanation:
1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x+1=0
x−4=0
2) Set the first factor equal to 0.
2x+1=0
3) Subtract 1 from both sides of the equation.
2x=−1
4) Divide each term by 2 and simplify.
2x/2= −1/2
5) Cancel the common factor of 2.
x= −1/2
6) Move the negative in front of the fraction.
x = −1/2
7) Set the next factor equal to 0 and solve.
x=4
8) The final solution is all the values that make
(2x+1)(x−4) = 0 true.
9) x = −1/2 , 4
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.
2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.
Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!
We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.
Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!
2 x 28 = 56.
So 2/5 is the same as 56/140.
The answer is D) 56 Dogs/140 Cats.
Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
