Step 1: Add the two equations.
Step 2: Solve for x.
Step 3: To find the y-value, substitute in 3 for x in one of the equations.
Step 4: Solve for y.
Step 5: Identify the solution as an ordered pair.
What if adding or subtracting does not eliminate a variable? Example. 3x – y = 8. x + 2y = 5.
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Answer:
3 groups
Step-by-step explanation:
Sopranos = 12
Altos = 9
Find the highest common factor of 12 and 9
12 = 1, 2, 3, 4, 6, 12
9 = 1, 3, 9
The highest common factor of 12 and 9 is 3
Therefore, the choir teacher can only have 3 groups
12 sopranos / 3 groups
= 4 sopranos per group
9 Altos / 3 groups
= 3 altos per group
Each of the 3 groups Will have 4 sopranos and 3 altos each
Answer:
343 square unit is the answer...
Step-by-step explanation:
as a^3 is formula for finding volume where a is 7
Answer:13.5 inches
Step-by-step explanation:
Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base
So our equation for volume becomes
V = c*h*r^2
where 'h' is altitude and 'r' is radius of base and 'c' is constant
Putting the value of V,h,r,
we get,
154 = c*12*3.5*3.5
c = 22/21
Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,
77 = 22/21*h*7/3*7/3
or, h= 13.5
Hope it helps!!!
12y = x + 23
Step-by-step explanation:
- y = −12x + 5
- Perpendicular slopes are opposite reciprocals.
- The original slope is −12
- So the new perpendicular slope is 1/12.
- We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b
y = mx + b
2 = 1/12 * 1 + b
2 = 1/12 + b
b = 23/12
- When we simplify this, we arrive at 12y = x + 23
