PLEASE HELP Write an expression and solve it with the given values of the letters: b There are x candies in a bag. 4/9 of all the candies are chocolates. How many candies which are not chocolates are in the bag? (x=36)

5/9x

20 candies

Step-by-step explanation:

There are a total of x candies. We know that 4/9 of them are chocolates. Write this into a mathematical expression:

- "of" always indicates multiplication. So, if we have 4/9 "of" all the candies, we have 4/9 * something

That "something" is the total candies, of which there are x:

4/9 * x

We want how many candies are not chocolates, so we need to subtract this number (4/9 * x) from the total x:

x - 4/9 * x = 5/9x

Now, let's plug 36 in for x:

5/9 * 36 = 20 candies

20

Step-by-step explanation:

Total: x

Chocolate: 4/9 of x = 4x/9

Not chocolate: total - chocolate

x - 4x/9

x(1 - 4/9)

x(9-4)/9

x(5/9)

5x/9

x = 36

5x/9 = 5×36/9 = 5×4 = 20

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.