Answer:
3x
Step-by-step explanation:
50 mi/hr × (1 hr / 60 min) × (200 gal / 500 mi) = ⅓ gal/min
(⅓ gal/min) × (t min) = x gal
t = 3x
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
step 1
Find the value of x
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC

substitute the given values

Solve for x


step 2
Find the measure of angle B
we know that

substitute the value of x

step 3
Find the measure of angle C
we know that

substitute the value of x
Answer:
5. 2¯⁶ or 1/2⁶
6. 2⁹
Step-by-step explanation:
5. Simplify 2⁴ ÷ 2¹⁰
The above expression can be simplified as follow:
2⁴ ÷ 2¹⁰
Recall
Aⁿ ÷ Aᵐ = Aⁿ¯ᵐ
Thus,
2⁴ ÷ 2¹⁰ = 2⁴ ¯ ¹⁰
2⁴ ÷ 2¹⁰ = 2¯⁶
Recall:
A¯ⁿ = 1/Aⁿ
Thus,
2¯⁶ = 1/2⁶
Therefore,
2⁴ ÷ 2¹⁰ = 2¯⁶ or 1/2⁶
6. Simplify 2³ × (2²)³
2³ × (2²)³ can be simplified as follow:
2³ × (2²)³
Recall
(Aⁿ)ᵐ = Aⁿ*ᵐ
Thus,
(2²)³ = 2²*³
(2²)³ = 2⁶
2³ × (2²)³ = 2³ × 2⁶
Recall
Aⁿ × Aᵐ = Aⁿ⁺ᵐ
2³ × 2⁶ = 2³⁺⁶
2³ × 2⁶ = 2⁹
Therefore,
2³ × (2²)³ = 2⁹
Answer:
c)18
Step-by-step explanation: