3b - a = 45
a = 2b + 40
Solve simultaneously.
3b - (2b + 40) = 45
3b - 2b - 40 = 45
b = 45 + 40
b = 95min (1 hour 35 min)
a = 2 (95) + 40
a = 230min ( 3 hour 50 min)
Answer:
After 10 years the investment A will be bigger than investment B.
Step-by-step explanation:
In Investment A, 50 increases each year by 8% and in investment B, 60 increases by 3 each year.
If after x years the investment A will be equal to investment B, then we can write the equation as

⇒ 50 + 4x = 60 + 3x
⇒ x = 10
Therefore, after 10 years the investment A will be bigger than investment B. (Answer)
The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st
Step-by-step explanation:
Parallel lines have same slopes and different y-intercepts
To find which equation would graph a line parallel to 3y = x + 5
1. Put the equation in the form of y = mx + c
2. m is the slope of the line and c is the y-intercept
3. Look for the equation which has the same values of m and different
values of c
∵ 3y = x + 5
- Divide each term of the equation by 3 to put the equation in the
form of y = mx + c
∴ y =
x + 
∴ m = 
∴ c = 
The first answer:
∵ 3y = x + 1
- Divide each term of the equation by 3
∴ y =
x + 
∴ m = 
∴ c = 
∵ The two equations have same slope m = 
∵ The two equations have different y-intercepts c = 
and c = 
∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines
The equation 3y = x + 1 would graph a line parallel to 3y = x + 5
Learn more:
You can learn more about slope of a line in brainly.com/question/12954015
#LearnwithBrainly
Answer:
BC = 21
Step-by-step explanation:
We know that AB + BC = AC
First we need to solve for x so using what we know lets set up the equation.
AB = 7x + 8
BC = 3x + 6
AC = 64
So (7x + 8) + (3x + 6) = 64
Combine like terms and solve.
10x + 14 = 64
10x = 50
x = 5
Now that we know that x = 5, to find the number for BC let's put that into the BC expression
3(5) + 6 = 21
There's your answer. BC = 21
Now if you really wanna make sure you can input the values we've found into the equation we first made.
AB + 21 = 64
7x + 8 + 21 = 64
7(5) + 8 +21 = 64
35 + 29 = 64
64 = 64