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(^ω^) I hope I help
"Jack can wrap 28 boxes in 2 hours"
<span>Jack wraps 28 boxes/(2 hours) = 14 boxes/hour </span>
<span>"Walter takes 3 hours to wrap 36 boxes" </span>
<span>Walter wraps 36 boxes/(3 hours) = 12 boxes/hour </span>
<span>Together they wrap 14+12 = 26 boxes per hour. </span>
<span>t hours × 26 boxes/hour = 65 boxes </span>
<h3>Answer: Choice B</h3>
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Explanation:
Using your calculator, you should find that
- sqrt(125) = 11.1803 approximately
- sqrt(196) = 14 exactly
- sqrt(207) = 14.387 approximately
- sqrt(220) = 14.832 approximately
Each approximate result has its decimal digits go on forever without any pattern. So we cannot write those values as a fraction of two integers. The decimal expansion must have some kind of pattern that repeats forever, so we could consider it rational.
Only choice B results in a whole number. The value 14 is the same as 14/1, showing it can be written as a fraction of two integers. Therefore choice B is rational.
Because subtraction comes before multiplication on the order of operations we have to put in parenthasis in this problem.
(x-3.2) is what we have so far.
then we multiply it by 7
so 7(x-3.2)=8.4
Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).
Step-by-step explanation:
A. (5; _) <em>[x = 5; y - ?]</em>
x² + y² = 25
5² + y² = 25
25 + y² = 25
25 + y² - 25 = 25 - 25
y² = 0
y = 0
A. (5; 0)
B. (_; -5) <em>[x - ?; y = -5]</em>
x² + y² = 25
x² + (- 5)² = 25
x² + 25 = 25
x² + 25 = 25
x² + 25 - 25 = 25 - 25
x² = 0
x = 0
B. (0; - 5)
C. (_; 0) <em>[x - ?; y = 0]</em>
x² + y² = 25
x² + 0² = 25
x² + 0 = 25
x² = 25
x = ± √25 = ± 5
C. (-5; 0) or (5; 0)
<em>Point A has coordinates (5; 0), which means that</em>
<em>point C has coordinates (-5; 0).</em>
D. (0; _) <em>[x = 0; y - ?]</em>
x² + y² = 25
0² + y² = 25
0 + y² = 25
y² = 25
y = ± √25 = ± 5
D. (0; - 5) or (0; 5)
<em>Point B has coordinates (0; -5), which means that</em>
<em>point D has coordinates (0; 5).</em>