Problem 33
For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree.
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Problem 34
Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)
I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1.
Okay , wheres the questions at tho...?
Answer:
x = 8
Step-by-step explanation:
10x - 2 (x + 6) = 52
Let X become 8
10 (8) - 2 (8 + 6) = 52
80 - 2 (14) = 52
80 - 28 = 52
52=52
Answer:
17.25
Step-by-step explanation:
Ratio of clean clothes to dirty clothes = 3 : 5
Clean clothes = 3
Dirty clothes = 5
Total ratio = 3 + 5 = 8
Total clothing article = 46
how many were clean
Number of clean clothes = ratio of clean clothes / total ratio × total clothing article
= 3/8 × 46
= 0.375 × 46
= 17.25
Above step we use "Multiplication property of equality"
In the above step we "Simplify on both sides of equation"
In the above step we use "Distribution property"
The above step is the result of using "Subtraction property of equality"
Above step is result of "Combining the like terms"
Above step is the result of using "Division property of equality"
Above step is result of "Simplifying fractions on either side of equation"
