Answer:
A. 30 adults; B. 24 not dolls
Step-by-step explanation:
A.
![\begin{array}{rcl}\text{No. of adults} & = & \text{No. of visitors} \times \text{Fraction who are adults}\\& = & \text{100 visitors} \times \dfrac{\text{3 adults}}{\text{10 visitors}} \\& = & \textbf{30 adults}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5Ctext%7BNo.%20of%20adults%7D%20%26%20%3D%20%26%20%5Ctext%7BNo.%20of%20visitors%7D%20%5Ctimes%20%5Ctext%7BFraction%20who%20are%20adults%7D%5C%5C%26%20%3D%20%26%20%5Ctext%7B100%20visitors%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B3%20adults%7D%7D%7B%5Ctext%7B10%20visitors%7D%7D%20%5C%5C%26%20%3D%20%26%20%5Ctextbf%7B30%20adults%7D%5C%5C%5Cend%7Barray%7D)
B.
If five-eighths of the prizes were dolls, then three-eighths of the prizes were not dolls.
![\begin{array}{rcl}\text{No. not dolls} & = & \text{No. of prizes} \times \text{Fraction not dolls}\\& = & \text{64 prizes} \times \dfrac{\text{3 not dolls}}{\text{8 prizes}} \\& = & \textbf{24 not dolls}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5Ctext%7BNo.%20not%20dolls%7D%20%26%20%3D%20%26%20%5Ctext%7BNo.%20of%20prizes%7D%20%5Ctimes%20%5Ctext%7BFraction%20not%20dolls%7D%5C%5C%26%20%3D%20%26%20%5Ctext%7B64%20prizes%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B3%20not%20dolls%7D%7D%7B%5Ctext%7B8%20prizes%7D%7D%20%5C%5C%26%20%3D%20%26%20%5Ctextbf%7B24%20not%20dolls%7D%5C%5C%5Cend%7Barray%7D)
Answer:
-1 and -3
(n+7)(n-8)
Step-by-step explanation:
1. Find the Zeros
![f(x)=x^{2} +4x+3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B2%7D%20%2B4x%2B3)
![f(x)=\left(x+1\right)\left(x+3\right)](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%28x%2B1%5Cright%29%5Cleft%28x%2B3%5Cright%29)
![x+1=0\\x=-1\\x+3=0\\x=-3](https://tex.z-dn.net/?f=x%2B1%3D0%5C%5Cx%3D-1%5C%5Cx%2B3%3D0%5C%5Cx%3D-3)
2. Factoring Trinomials
![f(x)=n^{2} -n-56](https://tex.z-dn.net/?f=f%28x%29%3Dn%5E%7B2%7D%20-n-56)
![f(x)=\left(n+7\right)\left(n-8\right)](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%28n%2B7%5Cright%29%5Cleft%28n-8%5Cright%29)
![n+7=0\\n=-7\\n-8=0\\n=8](https://tex.z-dn.net/?f=n%2B7%3D0%5C%5Cn%3D-7%5C%5Cn-8%3D0%5C%5Cn%3D8)
Answer:
Its subtract 12.
Step-by-step explanation:
The first question mark is positive 6.
6-12= -6
The second question mark is -22.
Negative 10 minus 12 equals negative 22
Once you understand integers, it will be really easy. I was in 6th grade last year.
3 + 2k
This is because multiplying by 1/5 is like dividing each term by 5
Answer:
SSS
Step-by-step explanation:
Only sides are given, not angles, so you know it's side-side-side