Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:
where = n = number of elements
k = number of elements choosen
n= 12 , k = 3
We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
Answer: The correct answer is the last one shown in the picture
Step-by-step explanation:
It’s the correct answer because when you subtract the two given equations with like terms you will get (- 25/8x + 63/10) —> when you simplify this you get (-3 1/8x + 6 3/10)
Answer:
a) The unit rate for calories per cup is 100 calories per cup
b) 200 calories in 2 cups of cereal.
Step-by-step explanation:
A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.
a) What is the unit rate for calories per cup?
This is calculated as:
3/4 cup = 75 calories
1 cup = x
Cross Multiply
3/4x = 75 calories × 1
x = 75 calories /3/4 cup
x = 75 ÷ 3/4
x = 75 × 4/3
x = 100 calories per cup
The unit rate for calories per cup is 100 calories per cup
b) How many calories are there in 2 cups of the cereal?
From the above question
3/4 cup = 75 calories
2 cups = x
Cross Multiply
3/4x = 75× 2
x = 150 ÷ 3/4
x = 150 × 4/3
x = 200 calories
There are 200 calories in 2 cups of cereal.
