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Original Number
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3000
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Increase
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5.4% of 3000
= 0.054 x 3000
= 162
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New Total
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3000 + 162 = 3162
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Answer: 3162
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Answer:
Max's paper airplane flew
feet or
feet.
Step-by-step explanation:
As Nora's paper airplane flew 9 1/6 feet
i.e.

Nora's paper was farther than Max's plane flew by = 2 3/4 feet
i.e.

Thus the equation to show how far Max's paper airplane flew is:










Therefore, Max's paper airplane flew
feet or
feet.
A translation moves the graph
A rotation spins it
A reflection flips it
Answer:
a) x > − 24 
b) x < − 3
c) q < 56
Step-by-step explanation:
a) −2/5x−9<9/10
<=> 2/5x + 9 > − 9/10
<=> 2/5x > − 9/10 − 9
<=> 2×2/2×5x > − 9/10 − 9×10/10
<=> 4/10x > − 99/10
<=> x > − 99/4
<=> x > − 24 
b) 4x+6<−6
<=> 4x < − 6 − 6
<=> 4x < − 12
<=> x < − 12/4
<=> x < − 3
c) q+12−2(q−22)>0
<=> q+12−2q −2×(−22)>0
<=> (q−2q) + (12+ 44) >0
<=> −q + 56 >0
<=> q < 56
Answer:
= One-half more than three-fourths of a number
= Three-fourths minus one-half of a number
= three-fourths minus the sum of a number and one-half
Step-by-step explanation:
Suppose x be an unknown number.
∵ 3/4th of a number = 
= One-half more than three-fourths of a number
Now, half of a number = 
= Three-fourths minus one-half of a number
Sum of a number and one-half = 
= three-fourths minus the sum of a number and one-half