If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.
The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.
The equation you want to set up is
0.5x+7=18
Where, 18-7=11
0.5x=11
11/.5 = x
x = $22
Thus, Mary has a weekly allowance of 22 dollars.
Answer:
Y intercept : ( 0 , 25 )
Step-by-step explanation:
Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : 
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:
Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:
Now we solve for 
in this last equation and make the substitution in the equation for car A:
So this is the speed of both cars: 0.625 miles/minute
Answer:
x = 18/5
Step-by-step explanation:
7x + 4 = 2x+ 22
5x = 18
x = 18/5
Answer:
Center (2,4) , radius=3, h=2 v=4 & r=3
Step-by-step explanation:
Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)
Now, in order to find the length of the radius, you need to do the following:
Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3
As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)
So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:
(x-2)^2 + (y-4)^2 = 9
