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

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

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

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )