I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).
The sheriff wants 390 mL of the mixed dressing, so that
<em>x</em> + <em>y</em> = 390
<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means
0.05<em>x</em> + 0.15<em>y</em> = 35.1
Solve for <em>x</em> and <em>y</em> :
<em>y</em> = 390 - <em>x</em>
0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1
0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1
23.4 = 0.10<em>x</em>
<em>x</em> = 234
<em>y</em> = 156
Answer:12
Step-by-step explanation:
Answer: 17
Step-by-step explanation: The range of a data set is the difference between the largest and smallest numbers
In this data set, the largest number is 22 and the smallest number is 5 so the range of the data set will simply be 22 - 5 or 17.
So the range of this data set is 17.
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
5x - 11 = 3x + 5
Step 2: Solve for <em>x</em>
<u>Subtract 3x on both sides:</u> 2x - 11 = 5
<u>Add 11 to both sides:</u> 2x = 16
<u>Divide both sides by 2:</u> x = 8
Step 3: Check
<em>Plug in x to verify it is a solution.</em>
5(8) - 11 = 3(8) + 5
40 - 11 = 24 + 5
29 = 29
