Answer:3/8
Step-by-step explanation:
5/8 of the staff are male. The entire staff is represented by the fraction 8/8. Taking 5/8 from this, what we have left is
8/8-5/8 = 3/8 of the staff are female.
Let the boat speed in still water be b.
Let the current speed be c.
The speed going upstream is 20/4 = 5 mph.
The speed going downstream is 32/4 = 8 mph.
b - c = 5 ........(1)
b + c = 8 .......(2)
Adding equations (1) and (2) we get:
2b = 13
b = 13/2 = 6.5
Plugging in the value for b into equation (1) we find c = 1.5.
The boat speed in still water is 6.5 mph and the current speed is 1.5 mph.
Answer:
Step-by-step explanation:
Length = L.
Width = 2L-3.
A = L * W = 170.
L * (2L-3) = 170.
2L^2 - 3L - 170 = 0,
L = (-B +- Sqrt(B^2-4AC))/2A.
L = (3 +- Sqrt(9 + 1360))/4,
L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In.
Use positive value: L = 10 In.
Answer:
(4,1)
Step-by-step explanation:
when points are reflected on the y-axis you switch your x coordinate from positive to negative or the other way around the y coordinate stays the same.
(2,1) reflected is (-2,1)
(7,4) reflected is (-7,4)
(-8,-4) reflected is (8,-4)
so (-4,1) reflected is (4,1)
Answer:
y = 5
Step-by-step explanation:
Step 1: Write equation
-(4y + 2) - (-3y - 6) = -1
Step 2: Solve for <em>y</em>
- Distribute: -4y - 2 + 3y + 6 = -1
- Combine like terms: -y + 4 = -1
- Subtract 4 on both sides: -y = -5
- Divide both sides by -1: y = 5
Step 3: Check
<em>Plug in y to verify it's a solution.</em>
-(4(5) + 2) - (-3(5) - 6) = -1
-(20 + 2) - (-15 - 6) = -1
-22 - (-21) = -1
-22 + 21 = -1
-1 = -1
