I like to use an X diagram to solve problems like this. The constituent percentages are on the left, the desired mix is in the middle and the numbers on the diagonals are the difference between the mix and the constituent.
The numbers 6 and 24 here represent the ratio of 40% to 10% chocolate. That 6:24 ratio can be reduced to 1:4. The sum of those ratio units is 1+4 = 5, so each must represent (200 kg)/5 = 40 kg of chocolate.
The mix must consist of
40 kg of 40% fat chocolate 160 kg of 10% fat chocolate
Answer:
x = 24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
3x + 2x + 60° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 5x + 60 = 180
- Isolate <em>x </em>term: 5x = 120
- Isolate <em>x</em>: x = 24
Answer:
14M
Step-by-step explanation:
7*2*M
14*M
14M
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6r - 3t = 6 /*8
6r + 8t = - 16 /*3
48r - 24t = 48
48r + 24t = - 48
---------------------- +
96r = 0
r = 0
t = ( -16 + 6r)/8 = - 16/8 = - 2
Answer:
Option a) f(x)=x^2
Step-by-step explanation:
The parent function that can be used to graph the function f(x)=-9(x+5)^2 is f(x)=x^2