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
Ballance method is just a fance method of helping you remember to DO THE SAME THING TO BOTH SIDES OF AN EQUATION to keep it ballanced
-10=2(-3x+1)
divide BOTH SIDES by 2 to get rid of that 2 in front
-5=-3x+1
minus BOTH SIDES 1
-6=-3x
divide BOTH SIDES by -3
2=x
-x-7=-12
add7 BOTH SIDES
-x+7-7=-12+7
-x+0=-5
-x=-5
multiplY BOTH SIDES -1
x=5
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
#LearnwithBrainly
Given:
Cards labelled 1, 3, 5, 6, 8 and 9.
A card is drawn and not replaced. Then a second card is drawn at random.
To find:
The probability of drawing 2 even numbers.
Solution:
We have,
Even number cards = 6, 8
Odd numbers cards = 1, 3, 5, 9
Total cards = 1, 3, 5, 6, 8 and 9
Number of even cards = 2
Number of total cards = 6
So, the probability of getting an even card in first draw is:
Now,
Number of remaining even cards = 1
Number of remaining cards = 5
So, the probability of getting an even card in second draw is:
The probability of drawing 2 even numbers is:
Therefore, the probability of drawing 2 even numbers is 
. Hence, the correct option is (b).
Answer:
$525 dollars
Step-by-step explanation:
