Answer:
50 rpm clockwise
Step-by-step explanation:
100/50 × 50/200 × 200/150 × 150/200 = 0.5
In an odd number of gears, the first and last rotate inthe same direction.
100 rpm × 0.5 = 50 rpm
Answer: 50 rpm clockwise
Answer:
The new equation is 
Step-by-step explanation:
Given : Function
were shifted 7 units to the right and 3 down.
To find : What would the new equation be?
Solution :
Shifting to the right with 'a' unit is
f(x)→f(x-a)
So, shifting g(x) 7 units to the right is

Shifting to the down with 'b' unit is
f(x)→f(x)-b
So, shifting g(x) 3 units down is


The new equation is 
Answer:
The selling price would be $420.
Step-by-step explanation:
In order to find the mark up, we need to multiply the amount it originally costs by the percentage it is being marked up.
$300 * 40% = $120
Now that we have the mark up amount, we add it to the original cost to get the sale price.
$300 + $120 = $420
Answer:
110 bonus payments
Step-by-step explanation:
Yearly salary is 20,000. So in 6 years, she will get:
20,000 * 6 = 120,000
Her agent's expectation is 1,000,000 and her salary would cover 120,000
So remaining is 1,000,000 - 120,000 = 880,000
This amount will be taken from bonus payments where bonus is 8000 for every game that attracts 100+ fans. SO we divide 880,000 by 8000 to get the number of bonus payments.
880,000/8000 = 110
Answer:
1st scenario: 163.3°
2nd scenario: 125.2°
3rd scenario: 142.3°
Step-by-step explanation:
1st scenario: angles 1 and 2 form a linear pair and add up to 180
2nd scenario: angles 1 and 4 are same-side interior and add up to 180
3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3