The ratio of pencils to pens is 3:5. If there are ten more pens than pencils, how many pencils are there? *

Mathematics

2 answers:

Ugo [173]3 years ago

6 0

Answer:

6 is the answer

pencil/pen=3/5

5pencil=3pen

1 pencil=3/5 pen

1 pen=5/3pencil

pencil/pen=3/5

pencil/10=3/5

pencil=30/5=15

Delvig [45]3 years ago

4 0

Answer:

15 pencils

Step-by-step explanation:

(You can write ratios with x because you are multiplying all parts of the ratio by the same amount in order for it to be the same ratio)

The ratio of pencils to pen is 3x:5x

If there are 10 more pens than pencils, and the ratio is 3x:5x, we see that the difference between 3x and 5x is 2x

So now we know that 2x = 10

so x = 5

Since x = 5, we plug in the number to 3x:5x which would be 3(5):5(5) which would be 15:25

So there are 15 pencils.

I hope this helped, let me know if you have any questions

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).

Stella [2.4K]

Answer:

$\boxed{\sf x - 7}$

Given:

f(x) = - 3x - 5

g(x) = 4x - 2

To Find:

(f + g)(x)

Step-by-step explanation:

$\sf (f + g)(x) = f(x) + g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 3x - 5 + 4x - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4x - 3x - 5 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - 5 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - 7$