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
Answer:
125x³ − 150x²y + 60xy² − 8y³
Step-by-step explanation:
(5x − 2y)³
₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³
(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)
125x³ − 150x²y + 60xy² − 8y³
First write the equation
3/n = 5
Multiply both sides by n
3/n * n = 5 * n
Simplify
3 = 5 * n
Divide both sides by 5
3/5 = 5 * n/5
Simplify
3/5 = n
Divide
0.6 = n
So 3/0.6 = 5
3x - 43 = 8
Shift the - 43 to the other side and change it to +
3x = 8 + 43
3x = 51
Isolate x by shifting 3 to the other side, dividing 51 by 3.
X = 51 / 3
X = 17
