Answer:
15 gallons
Step-by-step explanation:
If x is the gallons of 30% butterfat cream, and y is the gallons of 3% butterfat milk, then:
x + y = 45
0.30 x + 0.03 y = 0.12 (45)
Solve the system of equations with substitution or elimination. Using substitution:
0.30 x + 0.03 (45 − x) = 0.12 (45)
0.30 x + 1.35 − 0.03 x = 5.4
0.27 x = 4.05
x = 15
You need 15 gallons of 30% butterfat cream.
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer: Algebraic linear expression
Step-by-step explanation:
An algebraic expression in mathematics is an expression built up from integer constants with
unknown variables, and the algebraic operations. For example, 6x² − 2xy + 20 is an algebraic expression which is quadratic in nature.
The general formular for algebraic linear expression is Y - MX - C
Look at the pictures above for yor answers and the rules ...
