Answer:
Equation: 
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' = 
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8': 
'20 less than the number': n - 20
Set them equal to each other and solve:
Add 20 to both sides: 
Subtract 
from both sides: 
Multiply both sides by 
: 
Solve for n: n = 112
Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:
<h3>What is a mixed number?</h3>
A mixed number is represented by an integer part and a fractional part, as follows:
a b/c.
In which:
- b/c is the fractional part.
In this problem, the numbers are given as follows:
The mixed number is:
100 and 2/8 = 100 + 0.25 = 100.25.
The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:
More can be learned about mixed numbers at brainly.com/question/1746829
#SPJ1
Answer:
y = 
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = and c = - 3 , then
y = x - 3 ← equation of line
For t=0
<span>Allan borrows--------------------------- > 1870 dollars
for t=6 years
</span>F1 = P*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*6=6
we have
P1=1870
r=8%
m=1
t=6 years
F1 = 1870*(1 +(0.08/1))^6------------------ >2967.45 dollars
for t=2
Allan borrows--------------------------- > 1240 dollars
for t=6 years
F2 = P2*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*4=4
we have
P2=1240
r=8%
m=1
t=4 years------------> (6-2)=4 years
F2 = 1240*(1 +(0.08/1))^4------------------ >1687 dollars
F1+F2=2967.45+1687=4654.45 dollars
the answer is 4654.45 dollars
The answer is B(11, 2sqrt(12) )
proof
the main equation of the circle is (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center
so if the center is the origin, it is O(0,0), and the equation becomes
<span> (x)²+(y)²=R²
</span>and the circle passes through the point (-5,2) so we can write
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13
and for <span>B(11, 2sqrt(12) ) </span>11²+ (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
