Answer:
30 students
Step-by-step explanation:
80% of N = 24 where N is the total number of students
So
.80 N = 24
N = 24 / .80 = 30
sorry this was a late response
Maria because she is in debt of $210 meaning she owes $210. That is greater than the other debts.
Answer:
Hi
Step-by-step explanation:
Answer:
Step-by-step explanation:
Data provided:
now,
we know the properties of log functions as:
1) log(AB) = log(A) + log(B)
2) 
= log(A) - log(B)
3) log(xⁿ) = n × log(x)
thus,
= 
- 
or
= 
-
or
using property 3
= 
-
also,
thus,
= ![\frac{\log(3)}{\log(\frac{1}{2})}+2\times[\frac{\log(x)}{\log(\frac{1}{2}}]-\frac{\log(2)}{\log(\frac{1}{2})}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clog%283%29%7D%7B%5Clog%28%5Cfrac%7B1%7D%7B2%7D%29%7D%2B2%5Ctimes%5B%5Cfrac%7B%5Clog%28x%29%7D%7B%5Clog%28%5Cfrac%7B1%7D%7B2%7D%7D%5D-%5Cfrac%7B%5Clog%282%29%7D%7B%5Clog%28%5Cfrac%7B1%7D%7B2%7D%29%7D)
or
= 
or
= 
now,
log(1) = 0
log(2) = 0.3010
log(3) = 0.4771
thus,
= 
or
=
Answer:
(x,y)→(x+5,y) will be congruent; (x,y)→(5x,5y) will not be congruent; (x,y)→(0.5x, 0.5y) will not be congruent; (x,y)→(x,-y) will be congruent; (x,y)→(-x,-y) will be congruent.
Step-by-step explanation:
The types of translations that result in congruent images are translations or slides; reflections; and rotations.
Translations will add to the x- and y-coordinates; this is why the first transformation is congruent.
Reflections will negate one or more of the coordinates; this is why the fourth and fifth transformations are congruent.
The remaining two are dilations; these are stretches or shrinks that occur when the coordinates are multiplied by a number other than 1. These change the size of the figure, which is why they are not congruent.
