At a grocery store , the price of pumpkins is determined by how many pounds the pumpkin weighs. The price of a 20.6 pound of pumpkin is $ 6.25. Write an equation that can be used to determine the price of any amount of bananas based on the number of pounds they weigh. Explain the process

Answer:

multiply 1 1/3 by 8x6 and see how many packages

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be , , the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

(Eq. 1)

In addition, we get the following identities:

i)He has three more nickels than dimes

(Eq. 2)

ii)And five times as many pennies as dimes

(Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

The remaining variables are and .

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to evaluate

(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i

=

Now we rationalize the denominator.

Now, multiplying both the numerator and denominator by (6-i)

=

Formula used:

(a+b)² = a² + b² + 2ab

i² = -1

Answer:

Factors: (x²y+6)(y²-11)

Step-by-step explanation:

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So  (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!

Answer:

a) 5 - mn

Step-by-step explanation: its correct