A smoothie comes in three sizes - small, medium, and large, with five flavors - strawberry, banana,

Mathematics

2 answers:

Ganezh [65]3 years ago

8 0

Hey there! I'm happy to help!

We have three choices for sizes...

And five choices for flavors.

If you choose small, there are 5 smoothies you can make.

With medium, there are also five.

Same with large!

This gives us 15 possible smoothies.

Have a wonderful day! :D

VARVARA [1.3K]3 years ago

3 0

Answer:

A. 15

Step-by-step explanation:

The fundamental counting principle states if there is a outcomes/options and b outcomes/options, the total number of outcomes is a*b.

a * b

There are 3 sizes: small, medium and large

There are 5 flavors: strawberry, banana, orange, blueberry, and watermelon.

Therefore, we can say that a is 3 (sizes) and b is 5 (flavors).

3 * 5

Here is another way to think about it.

You can order a small smoothie five different ways, a medium five different ways, and a large five different ways.

5+5+5=15

Therefore, there are 15 total outcomes and A is correct.

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Select the procedure that can be used to show the converse of the

Vera_Pavlovna [14]

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.