Hello!
To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.
Before dividing, we need to convert the complex fraction into an improper fraction.
1 1/5 → 5 × 1 + 1 = 6/5
7 1/5 → 5 × 7 + 1 = 36/5
For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.
Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.
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Therefore, the cookie factory made 6 batches of cookies yesterday.
Using the greatest common factor, it is found that the greatest dimensions each tile can have is of 3 feet.
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- The widths of the walls are of <u>27 feet, 18 feet and 30 feet.</u>
- <u>The tiles must fit the width of each wall</u>, thus, the greatest dimension they can have is the greatest common factor of 27, 18 and 30.
To find their greatest common factor, these numbers must be factored into prime factors simultaneously, that is, only being divided by numbers of which all three are divisible, thus:
27 - 18 - 30|3
9 - 6 - 10
No numbers by which all of 9, 6 and 10 are divisible, thus, gcf(27,18,30) = 3 and the greatest dimensions each tile can have is of 3 feet.
A similar problem is given at brainly.com/question/6032811
Answer:
m-a = n
Step-by-step explanation:
a=m-n
Subtract m from each side
a-m = m-n-m
a-m = -n
Multiply each side by -1
-a+m = n
m-a = n
Answer:
Surface area of sphere = 4πr²
r = radius
radius = diameter /2
= 12/2
= 6units
Surface area = 4π×6²
= 144π
= 452.4 square units
Hope this helps.