3x -4 (5 - x) = 7x -20
3x-20+4x=7x-20
7x-20=7x-20
I: 635=dimes*10+quarters*25
or shorter
635=d*10+q*25
II: d=q*3+3
Substitute II (d=3q+3) into I to replace d:
635=d*10+q*25
635=(3q+3)*10+q*25
635=30+30q+25q
605=55q
11=q
-> 11 quarters
"What expression represents the number of dimes if q represent quarters"
insert q=11 into II:
II: d=q*3+3
d=11*3+3
d=33+3
d=36
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have:
![C(-6,\ 5)\to x_1=-6,\ y_1=5\\D(-3,\ 1)\to x_2=-3,\ y_2=1](https://tex.z-dn.net/?f=C%28-6%2C%5C%205%29%5Cto%20x_1%3D-6%2C%5C%20y_1%3D5%5C%5CD%28-3%2C%5C%201%29%5Cto%20x_2%3D-3%2C%5C%20y_2%3D1)
substitute:
![d=\sqrt{(-3-(-6))^2+(1-5)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-%28-6%29%29%5E2%2B%281-5%29%5E2%7D%3D%5Csqrt%7B3%5E2%2B%28-4%29%5E2%7D%3D%5Csqrt%7B9%2B16%7D%3D%5Csqrt%7B25%7D%3D5)
Answer: 5 units.
Answer:
A. 50.24
Step-by-step explanation:
f(4) = 3.14 times 4²
f(4) = 3.14(16)
f(4) = 50.24
<h2><u><em>xoxo, </em></u></h2><h2><u><em>your highness...</em></u></h2>
Answer:
6,560
Step-by-step explanation:
yes