Answer:
Writing the inequality, we have;

the solution to the inequality is;

Explanation:
Given that Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.
Total spending must not exceed $680

She buys a new bicycle for $383.33.
• She buys 2 bicycle reflectors for $7.61 each and a pair of bike gloves for $22.01.
She plans to spend some or all of the money she has left to buy new biking outfits
for $32.43 each.
let x represent the number of biking outfits she can buy.
Total spending is;

Writing the inequality, we have;

we can now solve the inequality;

Therefore, the solution to the inequality is;
 
 
        
             
        
        
        
Answer:
r= -1,-2
t= -7,-4
s= -2,-8
Step-by-step explanation:
 
        
             
        
        
        
$745 × 40% = $298
$745 - $298 = $447
$447 × 1/3 = $149
$447 - $149 = $298
        
                    
             
        
        
        
Answer:
97
Step-by-step explanation:
Given the following conditions :
board measuring 1x100, each square is numbered from 1 to 100
Three colors are used to paint the squares from left to right in the sequence :
one blue, two reds and three green squares in a repeated pattern. 
What is the highest numbered square that is painted blue? 
The sequence of painting is repeated after :
(1 + 2 + 3) = 6 successive squares 
Since the number of squares = 100
Maximum complete repetition possible :
100 / 6 = 16 remainder 4
Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)
On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors. 
Hence, the highest numbered square that is painted blue is 97 
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
hello : 
the system is :  x+ y =4 ...(*) 
                        2x - y = -1...(**)
add(*) and (**) : 3x=3    so : x=1
put this value into (*) : 1+y=4     so : y=3
one solution : (1 , 3)