Answer:
The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.
Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .
In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:
( × 9) ÷
( × 9) × = 18 quarts
To learn more about ratios, please check: brainly.com/question/17995727
Step-by-step explanation:
Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
13=1/6y+2x
-1/6y -1/6y
-1/6y+13=2x
-13 -13
-1/6y=2x-13
*-6 *-6
y=-12x-13
*I multiply it by -6 because -6 is the reciprocal of -1/6, and I can't divide -1/6, actually I can, but it just going to be more confusing that way, and the fastest way to get rid of the -1/6 when you solving this type of equation is multiply it by its reciprocal.
Answer:
x=1
Step-by-step explanation:
Move the constant to the right side of the equation and change its sign to the opposite. the constant in this equation is +2. the new equation looks like this: 5x=7-2. After subtracting on the right (7-2) the new equation should be 5x=5. divide both sides of the equation by 5. the answer is x=1
Answer:
There are 15 prime numbers less than 50
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53