Answer:
- <u>The number of groups in 3 is 4 groups.</u>
- <u>The number of groups in 5 is 7 groups.</u>
Step-by-step explanation:
Let the number of groups in 3 ⇒ x
Let the number of groups in 5 ⇒ y
There are 11 groups. ⇒ x + y = 11 →(1)
There are 47 people. ⇒ 3x + 5y = 47 →(2)
Solve (1) and (2) to get x and y.
From (1) ⇒ y = 11 - x →(3)
By substitution from (3) at (2) with y
∴ 3x + 5(11-x) = 47
3x + 55 - 5x = 47
-2x = 47 - 55 = -8
∴ x = -8/-2 = 4
∴ y = 11 - x = 11 - 4 = 7
So, the number of groups in 3 is 4 groups.
the number of groups in 5 is 7 groups.
I think that a is 6 if 54 divided by 9 then its 6
Answer: 27.33 g water
Step-by-step explanation:
For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.
4000J=m(4.181J/g°C)(100-65°C) [find change in temperature]
4000J=m(4.181J/g°C)(35°C) [divide both sides by specific heat and change in temperature]
m=27.33 g
Answer:
7
Step-by-step explanation:
7 is a common positive factor if 14 and 21. 2:3
Step-by-step explanation:
The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.
If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.
v = λut
ut = v/λ
Using Pythagorean theorem:
d² + (ut)² > v²
d² + (v/λ)² > v²
λ²d² + v² > λ²v²
λ²d² > (λ² − 1) v²
λ² / (λ² − 1) > (v/d)²
