If the average of x and y is 11 and the average of x, and y z is 5 what is the value of z
1 answer:
If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Given,
The average of x and y = 11
We know average = Sum of the terms / Number of terms
Then, the equation will become
x+y =11×2
x+y =22
Average of x, y and z = 5
x+y+z = 5×3
x+y+z =15
Substitute the value of x+y
22+z=15
z =15-22
x = -7
Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Learn more about average here
#SPJ4
You might be interested in
Answer:
It cost $8 per person to get into the carnival
Step-by-step explanation:
Let the entry cost be y
Let Cost of 1 game be x
Cost of 5 games = 5x
Cost of 12 games = 12x
Frankie played 5 games and spent $15.50 altogether.
So, --- A
Maria played 12 games and spent $26 altogether.
So, -- B
Plot the lines
--- Black color
--- Red color
Intersection point provides the solution
(x,y)=(1.5,8)
So, it cost $8 per person to get into the carnival
<h3>Answer:</h3>
- ABDC = 6 in²
- AABD = 8 in²
- AABC = 14 in²
A diagram can be helpful.
When triangles have the same altitude, their areas are proportional to their base lengths.
The altitude from D to line BC is the same for triangles BDC and EDC. The base lengths of these triangles have the ratio ...
... BC : EC = (1+5) : 5 = 6 : 5
so ABDC will be 6/5 times AEDC.
... ABDC = (6/5)×(5 in²)
... ABDC = 6 in²
_____
The altitude from B to line AC is the same for triangles BDC and BDA, so their areas are proportional to their base lengths. That is ...
... AABD : ABDC = AD : DC = 4 : 3
so AABD will be 4/3 times ABDC.
... AABD = (4/3)×(6 in²)
... AABD = 8 in²
_____
Of course, AABC is the sum of the areas of the triangles that make it up:
... AABC = AABD + ABDC = 8 in² + 6 in²
... AABC = 14 in²