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White raven [17]
3 years ago
13

The royal fruit company produces two types of fruit drinks the first type is 70% pure fruit juice and the second type is 95% pur

e fruit juice. the company is attempting to produce a fruit drink that contains 75% pure fruit juice how many pints of each of the two existing types of drinks must be used to make 60 pints of a make sure that is 75% pure fruit juice ?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
This is a typical mixture problem where using a table is the best thing.
                 pints juice        % juice     =      total % juice
juice A            x                  .70          =        .70x
juice B        60-x                 .95          =    .95(60-x)
total              60                  .75          =    60(.75)

The last row gives you a total that you need to use, so do that multiplication to get 45. You now to need to add the last columns together for rows 1 and 2 and set them equal to 45: .7x +.95(60-x) = 45. When you do that math, you'll get that x = 48. This means that you need 48 pints of juice A and 60-48 pints of juice B, which is 12 pints.
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the sum of three numbers is 131. the third number is 4 times the first. the second number is 5 more than the first. what are the
Sphinxa [80]

Step-by-step explanation:

let the numbers are:

a, b, and c

the equation would be:

a+b+c = 131

c = 4a

b = a+5

=>

a + a+5 +4a = 131

6a +5 = 131

6a = 131-5

6a = 126

a= 126/6

a = 21

b = a+5 = 21+5

b = 26

c = 4a = 4(21)

c = 84

4 0
3 years ago
What is the midpoint of coordinates (6, 1) and (9, -3)?
ZanzabumX [31]

Answer:

(7.5, -1)

Step-by-step explanation:

hope this helps you!

4 0
3 years ago
Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

8 0
2 years ago
Which of the following is not one the three categories of Euclid’s geometric principles?
Nikolay [14]

"Conjeture" is not one of the three categories of Euclid's geometric principles.

Euclidean geometry begins with Euclid's Elements, which is both a sum of the geometric knowledge of the time and an attempt to formalize this knowledge mathematically.

The notions of straight line, plane, length, area are exposed there and form the support of elementary geometry lessons. The conception of geometry is intimately linked to the vision of the ambient physical space in the classical sense of the term.  

Learn more about Euclid in brainly.com/question/1674393

4 0
2 years ago
Will give brainliest to whoever answers!!!
jarptica [38.1K]

(A)

Step-by-step explanation:

All other choices will result in a negative number inside the radical sign.

4 0
3 years ago
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