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: 25
Step-by-step explanation:
The hypothenuse will be gotten by using Pythagoras formula. This will be:
Hypotenuse² = Opposite² + Adjacent²
Hypotenuse²= 7² + 24²
Hypotenuse² = 49 + 576
Hypotenuse² = 625
Hypotenuse = ✓625
Hypotenuse = 25kilometer
Your end position is 1, -4)
<h3>How to determine your end position?</h3>
The start position is given as
Start = (3, -3)
The movement can be represented using the following translation rule
(x, y) = (x - 2, y - 1)
When the above translation rule is applied, we have:
End = (3 - 2, -3 - 1)
Evaluate the difference
End = (1, -4)
Hence, your end position is 1, -4)
Read more about translation at:
brainly.com/question/26238840
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The probability of choosing one of us is 2 / 80 .
If that happens, then the probability of choosing
the other one is 1 / 79 .
The probability of both things happening is
(2/80) x (1/79) = 1/3160 = 0.0003165... = 0.032... percent