We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So,
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
The square root of 1764 using perfect factors is 42
<h3>How to determine the
square root using
perfect factors?</h3>
The number is given as:
1764
Rewrite as
x^2 = 1764
Express 1764 as the product of its factors
x^2 = 2 * 2 * 3 * 3 * 7 * 7
Express as squares
x^2 = 2^2 * 3^2 * 7^2
Take the square root of both sides
x = 2 * 3 * 7
Evaluate the product
x = 42
Hence, the square root of 1764 using perfect factors is 42
Read more about perfect factors at
brainly.com/question/1538726
#SPJ1
Answer:
97
Step-by-step explanation:
bc
Answer: 14.96ft
Step-by-step explanation:
1. To solve this exercise you must apply the Pythagorean Theorem, which is:

Where
is the hypotenuse, and
and
are the other sides of the triangle.
2. You have that the sides given measures 12 inches. 1 feet has 12 inches. Therefore, this side measures 1 feet.
2. Then, when you solve for one of the sides and substitute the values given in the problem into the formula shown above, you obtain that the length of the side of the rigth triangle is:


Answer:
True
Step-by-step explanation:
:) Hope this helps ! x