Answer:
The expression is 100x + 50y ≤ 800.
Step-by-step explanation:
The hip hop DJ charge for $100 per hour. Let x be number of hours of hip hop :


For rap DJ, the charge is $50 per hour. Let y be the number of hours of rap :


Given that both DJs spend a maximum of $800. So the final expression is :

The first and the 2nd one are correct because x is 21 and y is 49
3 and 4 at wrong
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Answer:</h2><h2>c = -24</h2><h2 /><h2>Hope this helps!!</h2>
Step-by-step explanation:
to compare them, we should all bring to the same denominator.
the lcm (lowest common multiplier) is the that denominator.
let's use the approach of the prime factors :
3 : 3
5 : 5
32 : 2×2×2×2×2
24 : 2×2×2×3
the lcm is the combination of the longest "streaks" of the prime factors.
so,
2×2×2×2×2 × 3 × 5 = 32×15 = 480
2/-3 = -2/3 = -320/480 (as 3×160 = 480)
-4/5 = -4×96 / 5×96 = -384/480 (as 5×96 = 480)
21/-32 = -21/32 = -315/480 (as 32×15 = 480)
-15/24 = -15×20 / 24×20 = -300/480 (24×20 = 480)
as
-384/480 < -320/480 < -315/480 < -300/480
we can say
-4/5 < -2/3 < -21/32 < -15/24
You must find the relative rates of both workers...
T=f/3 and J=f/2 so if they work together to clear the field then:
ft/3+ft/2=f make all terms have a common denominator of 6
(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f
2ft/6+3ft/6=6f/6 multiply both sides by 6
2ft+3ft=6f divide both sides by f
2t+3t=6 combine like terms on left side
5t=6 divide both sides by 5
t=6/5 hr
t=1 1/5 hr
t=1 hr 12 min