From the right hand side, we will need to find a way to rewriting 3x²y in terms of cube roots.
We know that 27 is 3³, so if we were to rewrite it in terms of cube roots, we will need to multiply everything by itself two more twice. (ie we can rewrite it as ∛(3x²y)³)

Hence, we can say that it's:
$\sqrt[3]{162x^{c}y^{5}} = \sqrt[3]{(3x^{2}y)^{3}} * \sqrt[3]{6y^{d}}$
$= \sqrt[3]{162x^{6}y^{3+d}}$

Hence, c = 6 and d = 2

4 0

3 years ago

A machine can produce 27 inches of ribbon in 3 minutes.how much ribbon can the machine produce in 1 hour produce in 1 hour?

denis-greek [22]

540 it produce in a hour

7 0

3 years ago

Select three unit rates that can be used To describe the price of juice one dollar for 12 ounces $1.59 for a pint two dollars fo

enot [183]

Answer:

$1.59 for a pint,

two dollars for a quart,

299 for a gallon

Step-by-step explanation:

Since, rate is used to compare different kinds of quantities and it is the ratio of the quantities,

Also, unit rate states the amount of first quantity corresponding to the unit amount of second quantity,

When we talk about the unit rates for a quantity,

Then it shows the price of the quantity per unit amount.

Thus, by the above explanation it is clear that,

The unit price for representing the price of juice would be,

$1.59 for a pint,

two dollars for a quart,

299 for a gallon.

Note : we do not consider 'one dollar for 12 ounces' a unit price because it is not the price per 1 ounce.

7 0

3 years ago