3 sandwich choices 2 side item choices 4 beverage choices
Let's say the sandwich choices were PB&J, Ham, and Turkey Let's say the sides were fries and mandarin oranges Let's say the beverages were water, orange juice, milk, soda
PB&J Ham Turkey
Fries Mandarin Oranges
Water OJ Milk Soda
The combinations can be as follows:
PB&J, Fries, Water PB&J, Fries, OJ PB&J, Fries, Milk PB&J, Fries, Soda PB&J, Mandarin Oranges, Water PB&J, Mandarin Oranges, OJ PB&J, Mandarin Oranges, Milk PB&J, Mandarin Oranges, Soda Ham, Fries, Water Ham, Fries, OJ Ham, Fries, Milk Ham, Fries, Soda Ham, Mandarin Oranges, Water Ham, Mandarin Oranges, OJ Ham, Mandarin Oranges, Milk Ham, Mandarin Oranges, Soda Turkey, Fries, Water Turkey, Fries, OJ Turkey, Fries, Milk Turkey, Fries, Soda Turkey, Mandarin Oranges, Water Turkey, Mandarin Oranges, OJ Turkey, Mandarin Oranges, Milk Turkey, Mandarin Oranges, Soda
So your answer is correct: There's 24 lunch combinations that can be made.
This is the concept of algebra: The answers to the questions will be as follows: 1. What is AD/AM in the simplest form: AD/AB is the ratio of AD to AB. This will calculated as follows: AD=9 units AB=3 units thus: 9/3=3 Hence, we conclude that the answer is D. 3
2] What is slope of BE/ slope of AE in simplest form: slope=(Δy-axis)/(Δx-axis) slope of AE =(5-0)/(4-0) =5/4 slope BE slope=(5-0)/(4-3)=5/1=5 therefore the ratio of the two slope will be: BE/AE =5/(5/4) =4 The answer is A.4
3. What is the value of x in the proportion (x-1)/5=(4x+2)/35? To get the value of x we solve the above proportion: (x-1)/5=(4x+2)/35 35(x-1)=5(4x+2) 35x-35=20x+10 putting like terms together we get: 35x-20x=10+35 15x=45 dividing both sides by 15 x=45/15 x=3 Hence the answer is B.3
4. What is the value of x in the proportion: (x+1)/(x+3)=15/21 to get the value of x we solve the above: first we begin by cross multiplying the proportion, this will give us: 21(x+1)=15(x+3) 21x+21=15x+45 putting like terms together we get: 21x-15x=45-21 6x=24 dividing both sides by 6 we get x=4 ∴ x=4
5. The lengths of the sides of a triangle are in extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in cm. solution: Here we introduce the variable x such that the perimeter is: 3x+10x+12x=400 25x=400 x=400/25 x=16 The longest side will be: 12×16=192 cm