No they’re not equivalent because for 3(2n+9) when you distribute the 3 you get 6n+27 & 5n+9+n equal to 6n+9 when you combine like terms (add the n’s).
Hey there!
The correct answer is 30 miles per gallon.
If he can drive 270 miles on 9 gallons, we want to find the unit rate, or miles per gallon. We can do this by dividing 270 by 9. To make it easier, we will take off the zero, and do 27/9, which is 3. Now we add the 0 back on, which gives us 30. Therefore, his average mileage is 30 miles per gallon.
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<h3>
Answer: 135 inches</h3>
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Work Shown:
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
3 yards + 2 feet = 9 feet + 2 feet = 11 feet
1 foot = 12 inches
11 feet = 132 inches (multiply both sides by 11)
11 feet + 3 inches = 132 inches + 3 inches = <u>135 inches</u>
The answer is 11.2 pounds.
The length of q, to the nearest 10th of a centimeter is 7.6 cm.
Given in question,
In ΔOPQ,
o = 9.2 cm
p = 2.4 cm
∠Q = 37°
Cosine formula ⇒ cos θ = 
Putting the values in equation,
cos 37 = 
0.799 = 
0.799*44.16 = 90.4 - 
32.28 = 90.4 - 
= 90.4 - 32.28
= 58.12


q = 7.6 cm (to nearest 10th)
Hence, length of q is 7.6 cm.
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