Answer:
(- 4, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 4 ) → (- 4, 3 )
The area of the disk is approximately 314 inches
Answer:
A worked 20 hours and B worked 15 hours.
Step-by-step explanation:
Given:
Mechanic A hourly rate = $55
Mechanic B hourly rate = $45
Total charged = $1775
Let's assume Mechanic A worked 'A' amount of hours and Mechanic B worked 'B' amount of hours, then
Step 1:
First equation: A + B = 35
Second equation: 55xA + 45xB = 1775
Step 2:
First equation can be written as: A = 35 - B
Step 3: Replace value of A in second equation
Second equation: 55x(35-B) + 45B = 1775
: 1925 - 55B + 45B = 1775
: (1925 - 1775 )/10 = B
: B = 15 hours
A worked = 35 - 15
= 20 hours
Each card she sells cost $3.25.
y = 3.25s
y = 3.25(4) = 13
Each card she buys cost $5.50.
y = 5.25b
y = 5.25(7) = 38.5
She spent 38.5 dollars in total. However, you need to subtract the money she earned by the total cost.
38.5 - 13 = 25.5
She paid 25.5 dollars out of her own pocket, including the money she earned from selling cards she paid 38.5 dollars.
So the answer is "She spent $25.50"
Let me know if it's correct
