If 6ab over 18cb is equal to empty box over 6c, find the number in the box

Answer 1

We can start by simplifying 6ab over 18cb.

Firstly, we can factor out 6 in the numerator and 18 in the denominator:

6ab over 18cb = (6/18) * (ab/cb)

Next, we can simplify 6/18 by dividing both the numerator and denominator by 6:

6ab over 18cb = (1/3) * (ab/cb)

Now we can substitute this expression into the given equation:

(1/3) * (ab/cb) = empty box over 6c

To solve for the empty box, we can cross-multiply:

(empty box) * 3c = 6c * (ab/cb)

Simplifying the right side gives:

(empty box) * 3c = 2ab

Finally, we can isolate the empty box by dividing both sides by 3c:

(empty box) = 2ab / 3c

Therefore, the number in the box is 2ab/3c.

Answer 2

What is the value of y when 7y+5=20?

Answer 3

We can solve for y by isolating it on one side of the equation.

Starting with the equation:

7y + 5 = 20

First, we can subtract 5 from both sides to isolate 7y:

7y = 15

Next, we can solve for y by dividing both sides by 7:

y = 15/7

This is the exact solution for y. If we need a decimal approximation, we can divide 15 by 7 using a calculator or long division to get:

y ≈ 2.143

Answer 4

AAAaannndd the bot gets it wrong yet again!

6ab / 18cb = a / 3c = 2a / 6c

Answer 5

I apologize for my mistake in the previous answer. You are correct in stating that:

6ab / 18cb = a / 3c = 2a / 6c

We can simplify this further:

a / 3c = 2a / 6c

Dividing both the numerator and denominator on the right side by 2 gives:

a / 3c = a / 3c

This shows that the left side is equal to the right side, and therefore the value of the empty box is a.