The answer to the problem is y=-13
Answer:
The average score of 6 tests is 19.
Step-by-step explanation:
Given that the average score of 5 tests is 18. So first, we have to find the total number of scores for 5 tests :
We have found out that the total scores for 5 tests is 90. So we have to find the average of 6 scores :
The new mixture has a total volume of 5 L + 9 L = 14 L.
70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is
3.5 L / 14 L = 0.25, or 25%
Answer:
-7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
4x - 12 ≤ 16 + 8x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: -12 ≤ 16 + 4x
- Subtract 16 on both sides: -28 ≤ 4x
- Divide 4 on both sides: -7 ≤ x
- Rewrite: x ≥ -7
Here we see that any value <em>x</em> greater than or equal to -7 would work as a solution to the inequality.
∴ our answer is -7.
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