Apple juice and cranberry juice have been mixed in the ratio 4: 5. if the price of apple juice is 45 cents per pint and the price of cranberry juice is $.08 per pint, what should the price of one pint of the mixture be?

The total price of one pint of mixture is 24.4 cents.

Step-by-step explanation:

We are given that the ratio of apple juice to cranberry juice is 4 : 5.

So, the fraction of apple juice in one pint =

And, the fraction of cranberry juice in one pint =

Now, as we have,

Price of 1 pint of apple juice = 45 cents

Price of pints of apple juice =   = 20 cents

Also, we have,

Price of 1 pint of cranberry juice = $0.08 = 8 cents

Price of pints of cranberry juice =   = 4.4 cents

Thus, the total price of one pint of mixture = 20 + 4.4 = 24.4 cents.

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.

can i see a photo of the question so i can you?