Answer:
2. Both
3. e = 3, f = -5, g = 2
Step-by-step explanation:
2. Order doesn't affect product
3. You get e • f = -15, e • g = 6, f • g = -10 from the problem.
e = -15/f (solve for e)
(-15/f) • g = 6 (plug into second equation)
(-15g/f) = 6 (multiply)
-15g = 6f (multiply)
(-5g/2) = f (divide)
(-5g/2) • g = -10 (plug into last equation)
(-5g^2)/2 = -10 (multiply)
-5g^2 = -20 (mulitply)
g^2 = 4 (divide)
g = 2 (square root)
e • g = 6 (plug in for g, solve for e)
e • 2 = 6
e = 3
f • g = -10 (plug in for g, solve for f)
f • 2 = -10
f = -5
I don't know if your teacher made a typo because I tried this multiple times and got the same answer. I don't know how e is negative.
Answer:
6x
Step-by-step explanation:
4x² - 8x + 8 - x² + 2x - 4 - 3x² + <u>6x</u> = 4
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
6 candy bars because 6 times 4 is 24 plus the 5 for the magazine.
Answer: 149 pieces of candy
Step-by-step explanation:
We will divide the total number of pieces of candy by the number of students to find how many each student receives.
3,874 / 26 = 149
Each student will receive 149 pieces of candy.
