Remember
a/b time b/a=1
find 1x
(7/8)x=-2/3
multiply both sides by 8/7 to clea fraction
1x=-16/21
        
             
        
        
        
Answer:  Option 'C' is correct. 
Step-by-step explanation:
Since we have given that 
Original price of  a telescope = $400
Mark up percent = 32%
So, Price after mark-up is given by

Hence, Option 'C' is correct. 
 
        
             
        
        
        
Answer: 2 : 7
Step-by-step explanation:
Number of boys = 4
Number of girls = 10
Total number of students = total number of boys + total number of girls ,that is 
Total number of students = 4 + 10
= 14
Therefore , the ratio in the simplest form that compares number of  boys to total number of students is given by
number of boys : total number of students , that is
4 : 14
which will be 
2 : 7 in the simplest form
 
        
                    
             
        
        
        
 2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
 
        
             
        
        
        
Let
x---------> <span>the measure of the angle opposite the leg that is 6 inches long
we know that
tan x=opposite side angle x/adjacent side angle x
</span>opposite side angle x------> 6 in
adjacent side angle x-------> 6√3 in
<span>so
tan x=6/(6</span>√3)-----> x=1/√3------> √3/3
<span>x=arc tan(</span>√3/3)------> x=30°
<span>
the answer is
30</span>°<span>
</span>