Hi there,
2400 + 1632 = 4032
3 * 192 = 576
4032 - 576 =>
3532 - 76 =>
3532 + 24 - 76 - 24
3556 - 100
3456
3456 / 576 => 6
Therefore, 6 hours of sprayer work
Hope this helps!
Sincerely,
Dus4nR
Answer:
The solution of the system of equations is (11, 12)
Step-by-step explanation:
∵ The price of each student ticket is $x
∵ The price of each adult ticket is $y
∵ They sold 3 student tickets and 3 adult tickets for a total of $69
∴ 3x + 3y = 69 ⇒ (1)
∵ they sold 5 student tickets and 3 adults tickets for a total of $91
∴ 5x + 3y = 91 ⇒ (2)
Let us solve the system of equations using the elimination method
→ Subtract equation (1) from equation (2)
∵ (5x - 3x) + (3y - 3y) = (91 - 69)
∴ 2x + 0 = 22
∴ 2x = 22
→ Divide both sides by 2 to find x
∵ 
∴ x = 11
→ Substitute the value of x in equation (1) or (2) to find y
∵ 3(11) + 3y = 69
∴ 33 + 3y = 69
→ Subtract 33 from both sides
∵ 33 - 33 + 3y = 69 - 33
∴ 3y = 36
→ Divide both sides by 3
∵ 
∴ y = 12
∴ The solution of the system of equations is (11, 12)
Answer:
- field size: 1750 acres
- developed area: 1400 acres
Step-by-step explanation:
If the developed area is 80% of the field, and the undeveloped area is 20%, then the developed area is 4 times the undeveloped area, so is ...
developed area = 4 × 350 acres
developed area = 1400 acres
Then the total area is ...
total area = developed area + undeveloped area = (1400 +350) acres
total area = 1750 acres
9514 1404 393
Answer:
cot(θ) = 4/5
Step-by-step explanation:
In the polar/rectangular coordinate representation (x, y) ⇔ (r; θ), we know that ...
(x, y) = (r·cos(θ), r·sin(θ))
From the various trig definitions and identities, we also know that ...
cot(θ) = cos(θ)/sin(θ) = (x/r)/(y/r) = x/y
For the given (x, y) = (-4, -5), the cotangent is ...
cot(θ) = -4/-5 = 4/5
Don't know what the grid is, but this is a difference of squares.
(6y-1)(6y+1)
