Answer:
Step-by-step explanation:
10x + 25y = 370
y = x + 5
10x+25(x+5)=370
10x+25x+125=370
35x=370-125
x=245/35
x=7 which is the number of dimes
x+7= 7+5= 12 which is the number of quarters
So you have 12 quarters. That means you have 7 dimes.
Answer:
2π/5
Step-by-step explanation:
Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
Answer:
a = 2
Step-by-step explanation:
Let's find the equation of the line using the 2 points given.
Let's call -1 as x_1 and -5 as y_1
also, 4 as x_2 and 5 as y_2
The equation of line is :

<em>Let's plug the points and get the equation of the line:</em>

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

The answer is 28.26 because to find the area of a circle you need to do pie time radius squared.