Step-by-step explanation:
117+114= 231
360-231= 129
Now find two numbers that add up to 129
Answer:
Since, Robin is twice as old as Earl,
Thus, the ratio of the age of robin and earl = 2 : 3
Let the age of robin = 2x and the age of earl = 3x
Where x is any number,
According to the question,
3×Age of Adam = 2x + 6
Age of Adam = 1/3(2x+6)
Also, Age of Adam = Age of earl - 8
⇒ 1/3(2x+6) = 3x - 8
⇒ 2x + 6 = 9x - 24
⇒ -7x = - 30
⇒ x = 30/7
Hence, the age of Robin = 2x = 2×30/7 = 60/7 years
The age of Earl = 3x = 3×30/7=90/7 years
The age of Adam = 34/7 years
Answer:
- C. The lines will intersect once, because this system has one solution
Step-by-step explanation:
<u>System of equations: </u>
The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same
Let's put the lines into slope-intercept form to compare
<u>Line1 </u>
- 5x - 6y = 4
- 6y = 5x - 4
- y = 5/6x - 4/6
<u>Line </u>2
- 3y + 2x = 7
- 3y = -2x + 7
- y = -2/3x + 7/3
As we see lines have different slopes so they are different and they intersect once
This system has one solution
30 students.....14 are boys...that means (30 - 14) = 16 are girls
if 2 boys are dropped......14 - 2 = 12 boys
and 2 girls are added......16 + 2 = 18 girls
fraction of the class that are boys is : 12/30 which reduces to 2/5 <==
Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
