Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
<span>35°24` = 35 degrees plus 24/60 degrees = 35.4 degrees.
24/60 degrees is equivalent to 24 minutes.</span>
Answer:
-3/2
Step-by-step explanation:
In the picture attached, the complete question is shown.
The expression is:
You can rewrite the first term, expressing the division as a multiplication, that is, inverting the fraction in the denominator, as follows:
The addition of a negative fraction is simply the subtraction by that fraction:
Which can be simplified dividing by two both numerator and denominator:
The answer is: 56xy³
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Explanation:
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Find the "like terms"; which are:
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"4y" and "2y<span>²"
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The remaining term is: "7x".
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The problem is a "multiplication problem" :
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7x * 4y * </span>2y² ; so start by multiplying the "like terms" :
<span>___________________________________________
4y * 2y</span>² = 8y<span>³
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Then the remaining term is "7x";
so, multiply that by our obtained value: "</span>8y³ " :
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7x * 8y³ = 56xy³ ; which is our answer:
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Answer is 4 books per minute. 240 (books) divided by 60 (minutes in one hour) equals 4
