I can help, but what are you exactly trying to do here?
Answer: No, they are not.
Step-by-step explanation: To see if ratios are equivalent, you have to simplify them. 6:4 can be simplified to 3:2 but 19:12 cannot be simplified anymore. Since 3:2 is not equal to 19:12, they are not equivalent.
<span>46 <= grade < 96
First, let's write the equation for the lower limit that the student must get for a B.
(x + 92 + 82 + 88 + 92)/5 = 80
Multiply both sides by 5 giving
x + 92 + 82 + 88 + 92 = 400
Subtract 92, 82, 88, 92 from both sides
x = 400 - 92 - 82 - 88 - 92 = 46
So the student has to get 46 or higher on the test to make a B.
Now let's compute the upper limit
(x + 92 + 82 + 88 + 92)/5 < 90
Multiply both sides by 5
(x + 92 + 82 + 88 + 92) < 450
Subtract 92, 82, 88, 92 from both sides
x < 450 - 92 - 82 - 88 - 92 ) = 96
So the student has to get a grade of less than 96 to get a B.</span>
Suppose the chemist uses <em>x</em> mL of the 8% acid solution, and <em>y</em> mL of the 5% solution.
The chemist wants to end up with a 500 mL solution, so
<em>x</em> + <em>y</em> = 500
and wants this solution to have a concentration of 6.8% acid. This means 6.8% of this volume should be acid. By volume, the 8% solution contributes 0.08<em>x</em> mL of acid, and the 5% solution contributes 0.05<em>y</em> mL, so
0.08<em>x</em> + 0.05<em>y</em> = 0.068(<em>x</em> + <em>y</em>) = 0.068 * 500 = 34
Now,
<em>y</em> = 500 - <em>x</em>
0.08<em>x</em> + 0.05(500 - <em>x</em>) = 34
0.08<em>x</em> + 25 - 0.05<em>x</em> = 34
0.03<em>x</em> = 9
<em>x</em> = 300
The chemist must use 300 mL of the 5% solution.
<h2>SETS</h2>
<h3>Answer:
<u>Letter </u><u>D</u></h3>
- The subsets of the set of animals are
- ∅, {bear}, {cat}, {sheep}, {bear, cat, sheep}, {bear, cat}, {bear, sheep}, {cat, sheep}
<h3>ADDITIONAL INFORMATION</h3>
- The symbol ∅ represents a empty set, that means there are no elements in the set.
