P = (L+W)*2
⇒ P= (6+4)*2
⇒ P= 10*2
⇒ P= 20.
S= L*W
⇒ S= 6*4
⇒ S= 24
The perimeter and area of the rectangle is 20 ft and 24 ft^2 respectively~
Answer:
5 < x < 21
Step-by-step explanation:
The sum of the shorter sides is greater than the longest side.
If 13 is the longest side:
x + 8 > 13
x > 5
If x is the longest side:
8 + 13 > x
21 > x
Therefore, the third side is any number between 5 and 21.
Answer:
1, 3, 7, 21!
Step-by-step explanation:
60/48
Both can be reduced by 12 to 5/4
So you can have 12 groups with 5 6th graders and 4 7th graders
Answer:
Explanation:
<u>1. Data:</u>
i) Distance traveled by the cars:
ii) Speed of the cars:
iii) Time to arrive at the suburb:
- t₂ - t₁ = 2 hour ⇒ t₂ = t₁ + 2
<u>2. Equations:</u>
time = distance / speed
- t₂ = 480 / v₂
- t₁ = 480 / v₁ = 480 / (v₂ + 20)
t₂ - t₁ = 2 hour
↓ ↓ ↓
480/v₂ - 480/ (v₂ + 20) = 2
<u>3. Solve the equation</u>
480(v₂ + 20) - 480(v₂) = 2 × (v₂ + 20) (v₂)
240(v₂ + 20) - 240(v₂) = (v₂ + 20) (v₂)
240v₂ + 4800 - 240v₂ = (v₂)² + 20v₂
(v₂)² + 20v₂ - 4800 = 0
(v₂ + 80) (v₂ - 60) = 0
v₂ = - 80
v₂ = 60
Only the positive solution has physical meaning:
- v₁ = 60km/h + 20km/h = 80km/h ← answer
