The side of a square is the square root of the area.
Side = sqrt(155)
Side = 12.45 inches. (Round answer as needed)
X=number of boys in the club at first
y=number of girls in the club at first.
(x+y) = members were in the club at first.
We can suggest the next system of equation.
x/y=1/2 ⇒ x=y/2
(x+5)/y=3/4 ⇒4(x+5)=3y
Finally, we have the next system of equations:
x=y/2
4(x+5)=3y
We are going to solve by substitution method.
4(y/2 + 5)=3y
2y+20=3y
2y-3y=-20
-y=-20
y=20
x=y/2
x=20/2
x=10
(x+y)=10+20=30
Answer: There were 30 members int the club at first, they were 10 boys and 20 girls.
Answer:
No solution
Step-by-step explanation:
(7)(3)+(7)(−x)=(−7)(x)+(−7)(3)+-4
21+−7x=−7x+−21+−4
−7x+21=(−7x)+(−21+−4)
−7x+21=−7x+−25
−7x+21=−7x−25
−7x+21+7x=−7x−25+7x
21=−25
21−21=−25−21
0=−46
<h3>Power with a natural exponent.</h3>
<u>Definition</u>:
![a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^4=a\cdot a\cdot a\cdot a\\\vdots\\a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}](https://tex.z-dn.net/?f=a%5E2%3Da%5Ccdot%20a%5C%5C%5C%5Ca%5E3%3Da%5Ccdot%20a%5Ccdot%20a%5C%5C%5C%5Ca%5E4%3Da%5Ccdot%20a%5Ccdot%20a%5Ccdot%20a%5C%5C%5Cvdots%5C%5Ca%5En%3D%5Cunderbrace%7Ba%5Ccdot%20a%5Ccdot%20a%5Ccdot...%5Ccdot%20a%7D_%7Bn%7D)
also
![a^1=a\\\\a^0=1](https://tex.z-dn.net/?f=a%5E1%3Da%5C%5C%5C%5Ca%5E0%3D1)
![6^1=6\\\\3^2=3\cdot3=9\\\\2^3=2\cdot2\cdot2=8\\\\1^7=1](https://tex.z-dn.net/?f=6%5E1%3D6%5C%5C%5C%5C3%5E2%3D3%5Ccdot3%3D9%5C%5C%5C%5C2%5E3%3D2%5Ccdot2%5Ccdot2%3D8%5C%5C%5C%5C1%5E7%3D1)
therefore
<h3>
![\huge\boxed{1^7 < 6^1 < 2^3 < 3^2}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B1%5E7%20%3C%206%5E1%20%3C%202%5E3%20%3C%203%5E2%7D)
</h3>