Answer:
y = 2 when x =12
Step-by-step explanation:
y = k/x ..............as y varies inversely as x
8 = k/3
k = 8 * 3
k = 24
So,
y = k/x
y = 24/12
y = 2
1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
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2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
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3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
Answer:
28.26 cm
Step-by-step explanation:
circumference of a circle = πd
=3.14 * 9 cm
=28.26 cm
Answer:
. In other words, there number of girls is 
.
Step-by-step explanation:
The average of a number of measurements is equal to the sum of these measurements over the number of measurements.
.
Rewrite to obtain:
.
For this question:
.
.
Therefore:
.
On the other hand, there are 
boys and girls in total. Using the formula for average:
.
From the question, this average should be equal to 
. In other words:
.
Solve this equation for 
to obtain:
.
.
.
In other words, the number of girls here is .
