Answer:
24
Step-by-step explanation:
Given that:
Total number of members who race = 18
Ratio of racers to divers = 6 : 2
To find:
Total number of members of the team = ?
Solution:
Given the ratio = 6 : 2
As per the ratio given, we can let the number of racers = ![6x](https://tex.z-dn.net/?f=6x)
and
As per the ratio given, we can let the number of divers = ![2x](https://tex.z-dn.net/?f=2x)
As the swim team members can either race or dive, we can say that:
Total number of members on the team = Number of racers + Number of divers
Total number of members on the team = ![6x+2x=8x](https://tex.z-dn.net/?f=6x%2B2x%3D8x)
As per the question statement, we are given that:
![6x=18\\\Rightarrow x =\dfrac{18}{6}\\\Rightarrow x =3](https://tex.z-dn.net/?f=6x%3D18%5C%5C%5CRightarrow%20x%20%3D%5Cdfrac%7B18%7D%7B6%7D%5C%5C%5CRightarrow%20x%20%3D3)
Therefore, total number of team members = 8
3 = <em>24</em>
Answer:
![x=4](https://tex.z-dn.net/?f=x%3D4)
Step-by-step explanation:
we know that
In a rectangle the two diagonals are congruent (same length), and each diagonal bisects the other.
so
In this problem
![(2x-1)=(x+3)](https://tex.z-dn.net/?f=%282x-1%29%3D%28x%2B3%29)
solve for x
![(2x-x)=(3+1)](https://tex.z-dn.net/?f=%282x-x%29%3D%283%2B1%29)
![x=4](https://tex.z-dn.net/?f=x%3D4)
Answer:
y=mx+c
We have to find the value of m and c.
Let's substitute the value of x and y from the table.
When x=1, y=15,
15= m(1)+c
m +c= 15 ------(1)
Now substitute another set of x and y values.
When x=2, y=24,
24= m(2)+c
2m +c= 24
c= 24 -2m ------(2)
Let me rewrite the two equations so that it is clearer for you to see.
m + c= 15 -----(1)
c = 24 -2m -----(2)
subst. (2) into (1):
m+ 24-2m= 15
-m= 15-24 (bring constants to 1 side, m terms to the other)
-m= -9 (simplify)
m= 9 ( divide by -1 throughout)
subst. m=9 into (2):
c= 24 -2(9)
c= 24-18
c= 6
Thus, the equation is y=9x+6.
When the cat is 3 years old, x=3.
When x=3,
y= 9(3)+6
y= 33.
Hence, the cat is 33 years old in human years.
The area is 44.18 , hope this helps