Directions: Convert the following expressions in radical form into exponential expressions in rational form and then multiply and simplify the rational exponential expressions. You do not need to evaluate any of the expressions, just put them in simplest form. Remember, you can only use the multiplication and division strategies when the exponential rational expressions have the same base. Don’t forget to find the LCD when you add or subtract fractions. Please help?? I'm so confused. I have the answer for the first one, but I'm confused about the rest.

18.75 gallons

step-by-step explanation:

probably .5

i can on others if necessary.

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.