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3 years ago

how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one

Mathematics

1 answer:

alexdok [17]3 years ago

7 0

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

She can choose two.

There are 19 options that can be chosen once.

The first thing we need to do, is find all the "selections".

Here we have two selections:

Topping number 1

Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1: Here we have 19 options.

Topping number 2: Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

C = 19*18 = 342

There are 342 different combinations.

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Plz Help me!!!<br> will mark brainliest!!

Ksju [112]

Answer:

3x² * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

2x * (9x³ + 6x² - 12x) = 18x⁴ + 12x³ - 24x²

x² * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

6x² * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Step-by-step explanatation:

Let's set unknown variables as y (and y₁, y₂, etc)

Question 1:

y * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

So, divide both sides by (6x² + 4x - 8)

y = 3x²

Question 2:

2x * (9x^y₁ + y₂*x^y₃ - y₄*x) = 18x⁴ + 12x³ - 24x² '

Divide both sides by 2x.

(9x^y₁ + y₂*x^y₃ - y₄*x) = 9x³ + 6x² -12x

y₁ = 3, y₂ = 6, y₃ = 2, y₄ = 12

Question 3:

x^y * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

Divide both sides by (18x² + 12x - 24)

x^y = x²

Question 4:

y₁ * x^y₂ * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Divide both sides by (3x² + 2x - 4)

y₁ * x^y₂ = 6x²

y₁ = 6, y₂ = 2

I hope this helps! Feel free to ask any questions!

6 0

3 years ago

Is point (2,1) on the line represented by the equation x + 2y=5?

Arturiano [62]

No it isn't. You can determine if a point is by putting the coordinate values in for x and y.

(2)+2(1)=5

2+2=5

4≠5

3 0

3 years ago

I just need the bottom

kaheart [24]

The answer is 8 mm :)

6 0

3 years ago

Read 2 more answers

Solve the equation.<br> 3/4z=−18<br><br> Enter only a number in simplest form.

WARRIOR [948]

Answer:

The value $z=-24$ will satisfy the equation.

Step-by-step explanation:

Given equation is $z\times \frac{3}{4}=-18$ . We need to find the value of $z$

Step-1: Multiply both sides by $4$

$4\times z\times \frac{3}{4}=-18\times 4\\3z=-72$

Step-2: Divide both sides by $3$

$\frac{3z}{3}=\frac{-72}{3}\\\\z=-24$

So, we get $z=-24$ after simplifying the equation.

8 0

4 years ago

The weekly demand and supply functions for Sportsman 5 × 7 tents are given by

Viktor [21]

The equilibruim point of a demand and supply function is the point at which the quantity demanded is equal to the quantity supplied.

Given the demand function as
$p = -0.1x^2 - x + 33$
and the supply function as
$p = 0.1x^2 + 2x + 13$

The equilibruim quantity is obtained as follows:
$-0.1x^2 - x + 33=0.1x^2 + 2x + 13 \\ \\ \Rightarrow0.2x^2+3x+46=0 \\ \\ \Rightarrow x=-7.5\pm13.18i$

There is no real equilibruim quantity and price for the given demand and supply function.

5 0

4 years ago

how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one​

how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one