Answer:
To find a percent of the number, you need to convert the percentage into fractions or decimals. Then, multiply the fraction by the number.
Step-by-step explanation:
1. 60, 90,120,150,180,210,240,270
2. 65/100 x 200/1 = 2 x 65= 130\
3.5/100 x 180/1 = 9
 
        
             
        
        
        
Answer: two units to the left, four units down and reflected across the y axis
 
        
             
        
        
        
        
Answer:
A minimum of 10 dimes and 11 quarters is what Alexandra will have
Step-by-step explanation:
Let
d = number of dimes
q = number of quarters
Since she has 21 coins altogether,
d + q = 21------------------------equation 1    
-   If these coins are worth $3.75 then
0.10 x d + 0.25 x q = 3.75
- which is 0.10d +.25q =3.75
--------------------------equation 2
where $.10 is the value of one dime and $.25 is the value of one quarter
 make d the subject of formula from equation 1 d = 21 -q----------equation 3
  insert it in equation 2
0.10d +0.25q =3.75
0.10(21-q) + 0.25q = 3.75
0.1(21)-0.1q+0.25q=3.75
2.1 +0.15q = 3.75
0.15q  = 3.75-2.1 = 1.65
q = 1.65/0.15 =165/15 =11
- since we have the value of q insert in equation 3 
d = 21 - q
d = 21-11
d = 10
 Alexandra has 10 dimes and 11 quarters.
from my calculation i can see that the a minimum of 10 dimes and 11 quarters is what Alexandra will have
 
        
             
        
        
        
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,  is the initial value, k is the growth constant and t is the number of years.
 is the initial value, k is the growth constant and t is the number of years.
Putting  in the above formula, we get
 in the above formula, we get



Taking ln on both sides, we get

 
                  ![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.