Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[set r = 1.5 m]
⇒ 
⇒ 
m
One revolution of the water wheel corresponds to 
meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
= 
/min
Using this result, the speed of the river in kilometers per hour will be:
× 
× 
⇒ 
⇒ 
≈ 
km/h
Let's look at the formula to solve the perimeter.
2l+2w=98
We know that l=6w
Let's put that into the equation.
2(6w)+2w=98
12w+2w=98
14w=98
98÷14=7
So the width is 7. Let's find the length.
Since the length is six times the width: 7×6= 42
So, the length is 42 while the width is 7. We need to find the area.
42×7=294
The area is 294 m².
Tell me if this helps!!
Answer:
x=-3
Step-by-step explanation:
This is a one step solution all you do is divide 5 into -15
-15/5 = -3
so -3 = x
Answer:
The answer is B hope this helps
Answer:
Step-by-step explanation:
A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1
A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25
Let x represent the number of dimes that Jayden has.
Let y represent the number of quarters that Jayden has.
Jayden has some dimes and some quarters. He has at most 25 coins. It means that
x + y ≤ 25
The coins worth at least $4.60 combined. It means that
0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1
If Jayden has 7 dimes, then
7 + y ≤ 25
y ≤ 25 - 7
y ≤ 18
Substituting x = 7 into equation 1, it becomes
0.1 × 7 + 0.25y ≥ 4.6
0.7 + 0.25y ≥ 4.6
0.25y ≥ 4.6 - 0.7
0.25y ≥ 3.9
y ≥ 3.9/0.25
y ≥ 15.6
All possible values for the number of quarters that he could have would be
15.6 ≤ y ≤ 18
