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Alenkinab [10]
3 years ago
5

Tom has three times as many pencils as pens but has a total of 100 writing utensils. How many pencils does Tom have? How many pe

ns does Tom have?
Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0

Answer:

There are 75 pencils and 25 pens.

Step-by-step explanation:

If Tom has three times as many pencils than pens then,

Pencils = 3(Pens)

If there are a total of 100 writing utensils then,

Pencils + Pens = 100

Substitute the word "pencils" in this equation to 3(Pens),

3(Pens) + Pens = 100

Now remember there is almost a 'hidden' one beside the word "Pens" so,

3Pens + 1Pens = 100

Add the two together,

4Pens = 100

Divide,

Pens = 25

Substitute 25 into the first equation,

Pencils = 3(25)

Pencils = 75

Thus, there are 75 pencils and 25 pens.

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Answer:

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Step-by-step explanation:

From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.

We can then look and see that g(1) = 4 as shown by the point given to us on the graph.

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Option C:

once we plug in 1 for x, our equation looks like

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Option D:

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3 0
3 years ago
If f(x) = 3^x + 10x and g(x) = 2x - 4, find (f + g)(x)
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Vitek1552 [10]
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