Answer:
C) YQ = 8
Step-by-step explanation:
If WQ is 8 and XZ bisects this line, this means that YQ is also 8.
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Start by combing like terms. You will get 3x+12=51. Now subtract 12 from both sides (3x=39). Divide both sides by 3 (x=13). The answer is 13.
Answer:
The probability is 1/3, or in percent form, 33.3%.
Step-by-step explanation:
First, add up all the marbles. 3 plus 2 plus 1 equals 6 total marbles.
There are 2 yellow marbles out of 6 total marbles. Make it a fraction: 2/6.
Simplify the fraction by dividing by 2, to get 1/3, which is 33.3%.
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Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:
Applying distributive property:
Grouping similar terms:
Applying common factor :
This is the simplified expression
<u>Part B:</u>
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if :
Hence, Mrs. Jones baked 121 cupcakes last week
<h3>Explanation:</h3>
GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.
<em>Example</em>
The numerator and denominator of 6/8 have GCF of 2:
6/8 = (2·3)/(2·4)
The fraction can be reduced by canceling those factors.
(2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4
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LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.
<em>Example</em>
The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.
2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15