Answer:
Step-by-step explanation:
f(x) = 2/3 x + 3
This has the meaning that whatever you see in the backets on the left, you put in the x on the right.
f(12) = 2/3 (12) +3
2/3 12 = 4 * 2 = 8
f(12) = 8 + 3
f(12) = 11
Answer:
44 questions
Step-by-step explanation:
Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions.
Let x = total number of questions in part 1
4/5x = 16
Divide both sides by 4/5
x = 16 ÷ 4/5
= 16 × 5/4
= 20
x = 20
There are 20 questions in part 1
She got 16 questions correct, which was 2/3 of the number of part 2 questions.
Let y = number of questions in part 2
2/3y = 16
Divide both sides by 2/3
y = 16 ÷ 2/3
= 16 × 3/2
= 24
y = 24
There are 24 questions in part 2
The total number of questions on Stephanie’s exam = part 1 + part 2
= 20 + 24
= 44 questions
The answer is a. 40 square centimeters, because the area of a triangle is A=(1/2)Bh, or half of Base multiplied by half of Height.
Answer:
Give me a second I know this one.
Step-by-step explanation:
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Hi there! :)

Find the central angle using a ratio in regards to angle and circumference.
The radius is 27 units, so use the following equation to calculate circumference:
C = 2rπ
Therefore:
C = 2(27)π = 54π
Since we have the total circumference, we can write the following proportion:

Cross multiply:
54πx = 6480π
Divide both sides by 54π to isolate for x:
x = 120°