9514 1404 393
Answer:
420
Step-by-step explanation:
The prime factors of each denominator are ...
12 = 2²×3
14 = 2×7
5 = 5
10 = 2×5
The unique factors are 2²×3×5×7 = 420.
The least common denominator of these fractions is 420.
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<em>Additional comment</em>
- 5/12 = 175/420
- 9/14 = 270/420
- 2/5 = 168/420
- 1/10 = 42/420
Answer: Additive Identity Property
Step-by-step explanation:
Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5.
<h3>
Answer: Angle Q = 133 degrees</h3>
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Work Shown:
Recall that for any triangle, the three angles always add to 180
P+Q+R = 180
(x+13) + (10x+13) + (2x-2) = 180
(x+10x+2x) + (13+13-2) = 180
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12
Now that we know x, we can find the angle measures
- angle P = x+13 = 12+13 = 25 degrees
- angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
- angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees
As a way to check if we have the right answer or not, we see that,
P+Q+R = 25+133+22 = 180
So the answer is confirmed.
Answer:
5 / 6
Step-by-step explanation:
Given that:
Probability that a dice rolled once will not land on 2
Probability = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome = 2
P(not land on 2) = 1 - p(land on 2)
P(land on 2) = 1/6
P(not land on 2) = 1 - 1/6
P(not land on 2) = 5/6
Answer:
$61.23
Explanation:
$38.85 + $22.38 = $61.23