Answer:
one
Step-by-step explanation:
A unit rate compares a quantity to one unit of measure.
$123 = ($3b + $8.50c)
b + c = 30
b = 24 birds ($72)
c = 6 cats ($51)
51+72=123
There were 24 birds at the shelter on Tuesday.
Answer:
![s = 1](https://tex.z-dn.net/?f=s%20%3D%201)
Step-by-step explanation:
Given
![s - \frac{1}{2} = \frac{1}{2}](https://tex.z-dn.net/?f=s%20-%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Required
Solve for s
![s - \frac{1}{2} = \frac{1}{2}](https://tex.z-dn.net/?f=s%20-%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Add
to both sides
![s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}](https://tex.z-dn.net/?f=s%20-%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D)
Take LCM
![s + \frac{-1+1}{2} = \frac{1+1}{2}](https://tex.z-dn.net/?f=s%20%2B%20%5Cfrac%7B-1%2B1%7D%7B2%7D%20%20%3D%20%5Cfrac%7B1%2B1%7D%7B2%7D)
![s + \frac{0}{2} = \frac{2}{2}](https://tex.z-dn.net/?f=s%20%2B%20%5Cfrac%7B0%7D%7B2%7D%20%20%3D%20%5Cfrac%7B2%7D%7B2%7D)
![s +0 = 1](https://tex.z-dn.net/?f=s%20%2B0%20%20%3D%201)
![s = 1](https://tex.z-dn.net/?f=s%20%3D%201)
Answer: c) 0.75
Step-by-step explanation:
Given : The probability of choosing a black marble is P(Black)= 0.36.
The probability of choosing a black and then a white marble is P( Black and white) = 0.27.
Then by conditional probability ,
The probability of the second marble being white if the first marble chosen is black = ![P(\text{white }|\text{Black})=\dfrac{\text{P( Black and white)}}{\text{P(Black}}](https://tex.z-dn.net/?f=P%28%5Ctext%7Bwhite%20%7D%7C%5Ctext%7BBlack%7D%29%3D%5Cdfrac%7B%5Ctext%7BP%28%20Black%20and%20white%29%7D%7D%7B%5Ctext%7BP%28Black%7D%7D)
![=\dfrac{0.27}{0.36}=\dfrac{27}{36}=0.75](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B0.27%7D%7B0.36%7D%3D%5Cdfrac%7B27%7D%7B36%7D%3D0.75)
Therefore , the probability of the second marble being white if the first marble chosen is black = 0.75
Step-by-step explanation:
43=0.34x+19.5
=> 0.34x+19.5 = 43
=> 0.34x = 43 - 19.5
= 23.5
![= > x = \frac{23.5}{0.34}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B23.5%7D%7B0.34%7D%20)
=> x = <u>69.117</u><u> </u><u>(</u><u>Ans</u><u>)</u>