Answer:
24
Step-by-step explanation:
Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case
5*8 and 3*8 = 64
3*8 = 24
5*8 = 40
There are 24 girls
B is the answer to the question
Answer:
Substituting for a Variable
If you know the value that the variable is equal to, you can substitute that value in for the variable in the expression! Let's look at an example. Since we know that x=5, we can directly substitute or replace the x in the expression x+3 with a 5 to solve for y!
Step-by-step explanation:
I hope this kinda helps
Answer:
The rate at which the distance between the two cars is increasing is 30 mi/h
Step-by-step explanation:
Given;
speed of the first car, v₁ = 24 mi/h
speed of the second car, v₂ = 18 mi/h
Two hours later, the position of the cars is calculated as;
position of the first car, d₁ = 24 mi/h x 2 h = 48 mi
position of the second car, d₂ = 18 mi/h x 2 h = 36 mi
The displacement of the two car is calculated as;
displacement, d² = 48² + 36²
d² = 3600
d = √3600
d = 60 mi
The rate at which this displacement is changing = (60 mi) / (2h)
= 30 mi/h
Answer:
Proved
Step-by-step explanation:
The given data is:
not 
Required
Prove by induction that it is divisible by 5
Assume 
So, we have:
where p is a positive digit
Rewrite as:
To solve further, we have to prove that 
is true for 
So, we have:
Add 0
Replace 0 with 
Factorize
Substitute
Factorize
Factorize
![11^{k+1} - 6 = 5[11(p + 1)- 1]](https://tex.z-dn.net/?f=11%5E%7Bk%2B1%7D%20-%206%20%3D%205%5B11%28p%20%2B%201%29-%201%5D)
<em>The 5 outside the bracket implies that it is divisible by 5</em>
