Answer:
B= y+2w
Step-by-step explanation:
We can see that A= y+3w, so because B is missing one of the w's, the area must be y+2w.
We know that the original width was 5, and that after the enlargement the width is 45. To calculate the scale factor we divide the final width between the original one, then:

Therefore the scale factor is 9.
To solve this equation by elimination, what you would do is multiply one of the equations by -1, or distribute -1 to each term in the equation, any of the 2 equations. Then align the equations and add them together.
-(X + 3y = 3)
-X - 3y = -3
-X - 3y = -3
X + 6y = 3
__________
3y = 0
y = 0/3 = 0.
Now we can solve for x, by simply plugging the value of y into any of the 2 equations.
X + 6y = 3
X + 6(0) = 3
X + 0 = 3
X = 3.
The solution to your system of equations would be (3,0).
Check this by plugging in the point to the other equation and see if it is true.
X + 3y = 3
(3) + 3(0) = 3
3 + 0 = 3
3 = 3.
Thus it is the solution.
Answer:
The pencil cost $0.05 and the pen cost $1.05.
Step-by-step explanation:
Let, the price of the pencil is $ .
Given that the pen costs a dollar more than the pencil,
So, the price of the pen=$+1.
Therefore, ++1=1.10
, 2+1=1.10
, 2=1.10–1
, 2=0.10
, =0.10/2
, =0.05
The pencil cost $0.05 and the pen cost $1.05.
Answer:
The maximum distance is 17.5 miles
No she can't make to the airport.
Step-by-step explanation:
Given the cab charges $0.8 per mile and $2 for tolls.
let the miles travelled by melissa be x.
The total charge is $
Now given that she can spend a maximum of $16
so the inequality is




Therefore the maximum distance she can travel is 17.5 miles
Since the distance to airport is 25 miles which is greater than 17.5 miles she cannot afford the cab.