The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n
Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)
Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12
Step-by-step explanation:
Given
4y - x = 5 + 2y
Let's make y subject then making in slope intercept form that is y = mx + c
4y - 2y = x + 5
2y = x + 5
y = ( x + 5) / 2
y = x/2 + 5/2
Hope it will help :
Answer:
It's 63.29
Step-by-step explanation:
Step 1: We make the assumption that 158 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=158.
Step 4: In the same vein, x%=100.
Step 5: This gives us a pair of simple equations:
100%=158(1).
x%=100(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x% = 158/100
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100% = 100/158
x= 63.29%
Therefore, 100 is 63.29% of 158.
Answer:
Question 6: 26 crowns plus 15 ribbons.
Question 7: 10 footballs plus 42 basketballs.
Step-by-step explanation:
Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable 
, and ribbons as the variable 
, this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be 
, in order to find how many (crowns) and (ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable together, and add the terms with the variable together. Simplified, the equation will be 
. Since the variables and were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.
Question 7 explanation: You can use the same method as you did in question 6, think of footballs and basketballs as the variables and respectively. The equation will be 
= 
. Since the variable was used to represent footballs and the variable was used to represent basketballs, that means the correct answer would be 10 footballs plus 42 basketballs.
A. x=34
2 x 17 = 34
34/2 = 17
