Answer: The answer is -5b-768 over 6
Step-by-step explanation: subtract b from both sides
replace variable a with 10-b in the expression
remove parentheses
combine the opposite terms
simplify
Answer:
Part A
The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint
Part B
1/3 cup of red paint is added to 1 cup of blue paint
Part C
The unit price per cup of blue paint is $8 per cup of blue paint
Step-by-step explanation:
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3: 1
Part A: Write a sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint (4 points)
The ratio is
Blue paint : Red paint
= 3 : 1
Hence,
The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint
Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning (4 points)
From Part A , we know that
3 cups of blue paint = 1 cup of red paint
1 cup of blue paint = y
Cross Multiply
3 × y = 1 × 1
y = 1/3
Hence, 1/3 cup of red paint is added to 1 cup of blue paint
Part C: I Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? (2 points)
6 cups of blue paint = $48
1 cup of blue paint = x
6 × x = $48 × 1
x = $48/6
x = $8
Answer: 
Step-by-step explanation:
A standard 52 card deck includes spades, clubs, hearts, and diamonds.
13 card of each category is present
So, there are 13 spades present in the deck
Probability is the ratio of favorable to the total outcomes.
