7 + 68 = 75
5 x 15 = 75
6 + 69 = 75
3 + 72 = 75
You would make a system of equations, so the first would be "x+y=150" (x is the number of hats and y is the number of shirts). The second equation would be "3x+5y=590". You would solve the system by either substitution, elimination, or graphing it.
If you do it by substitution, you would solve one equation for either variable (the first equation would be easier to solve for either variable) and plug it into the other equation and solve it. So it would look like: y=150-x 3x+5(150-x)=590
If you did it by elimination, you would line the variables in the equations up and make one variable (We'll use x) the opposite of the same variable in the other equation and add the equations together to make the chosen variable cancel out so you could solve for the other variable. So it would look like: 3x+5y=590
+ -5x- 5y=-150
-----------------
-2x=440
x=-220
After you do that, you would plug that answer into one of the original equations and solve for the other variable. So it would look like: -220+y=150
y=370
If you did it by graphing you would simply graph both equations on the same graph and the point that they intersect at would be your answer.
We have been given image of circle that passes through point
. We are asked to find the radius of the circle.
First of all, we will find the center of the circle.
We can see that center of circle is at point
.
Now we will use equation of circle to find radius.
, where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point
and coordinates of center
and solve for r as:
![(-7+2)^2+(-7+1)^2=r^2](https://tex.z-dn.net/?f=%28-7%2B2%29%5E2%2B%28-7%2B1%29%5E2%3Dr%5E2)
![(-5)^2+(-6)^2=r^2](https://tex.z-dn.net/?f=%28-5%29%5E2%2B%28-6%29%5E2%3Dr%5E2)
![25+36=r^2](https://tex.z-dn.net/?f=25%2B36%3Dr%5E2)
![61=r^2](https://tex.z-dn.net/?f=61%3Dr%5E2)
Switch sides:
![r^2=61](https://tex.z-dn.net/?f=r%5E2%3D61)
Now we will take positive square root on both sides:
![\sqrt{r^2}=\sqrt{61}](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%3D%5Csqrt%7B61%7D)
![r=\sqrt{61}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B61%7D)
Therefore, radius of circle will be
and center is at point
.
Answer:
229
Step-by-step explanation:
t10= 2×10^2+3×10-1
=2×100+30-1
=200+29
=229
Answer:
2. D) 275
3. C
Step-by-step explanation:
2. 20 divided by 10 = 2
550 divided by 2= 275
3. 35 times 8= 550$
1 month is 35$
2 months is 70$ (35+35)
4 months is 140$ (70+70)
6 months is 210$ (140+70)
HOPE THIS HELPS!!!