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svlad2 [7]
2 years ago
11

Select the equivalent expression that shows the fewest possible terms.

Mathematics
2 answers:
LenaWriter [7]2 years ago
7 0

Answer:

Step-by-step explanation:

7a-10c-2a-0.5c+5

5a-10.5c+5

it is your first choice

SSSSS [86.1K]2 years ago
6 0
The first one

7a - 10c - 2a - 1/2c + 5
7a -2a - 10c - 1/2c + 5
5a -10.5c + 5
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Answer:

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Step-by-step explanation:

The coefficient of x in the cosine argument of the function will be 2π/period. Since the period is 5, the coefficient is 2π/5. This observation eliminates choices B and C.

The description "not a reflection of the parent function over the x-axis" means the multiplier of the cosine function is not negative, eliminating choice D.

The remaining choice A matches the description.

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2 years ago
Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.
serious [3.7K]

The greatest number of sandwiches that Olivia can make is 12.

3 slices of cheese will be on each sandwich

<u>Solution:</u>

Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.  

We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?

Let the number of sandwiches be "n"

Then, number of slices of ham per sandwich =\frac{48}{n}

And, number of slices of cheese per sandwich =\frac{36}{n}

As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36

The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.

Out of these common factors, 12 is the greatest

So, H.C.F of 48 and 36 is 12, which means n = 12

Then, number of cheese slices per sandwich =\frac{36}{12}=3

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A table is 3.5 meters long how many centimeters long is the table
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