4m -21 = 3(5m - 1)
4m - 21 = 15m - 3
15m - 4m = -21 + 3
11m = -18
m = -18/11
To check:
LHS → 4 (-18/11) -21 = - 303/11
RHS → 3( 5(-18/11) - 1) = -303/11
LHS = RHS (The answer is right)
Answer:
Question 1 ) Difference of Volume = 112.25 cm³
Question 2) Volume = 6400π feet³
Step-by-step explanation:
<h3>As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.10. If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339.12 cm3, how much more will the new cans hold? Use 3.14 for π and round your answer to the nearest hundredth.</h3>
Diameter = 6 cm
Radius = 3 cm
Height = 12 cm
If we increase the dimension by 1.10, new dimesnions are:
Radius = 3 · 1.1 = 3.3 cm
Height = 12 · 1.1 = 13.2 cm
Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)(3.3²)(13.2)
Volume = 451.37 cm³
Difference of Volume = 451.37 cm³ - 339.12 cm³
Difference of Volume = 112.25 cm³
<h3>
The circumference of a redwood tree trunk is 16π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk? </h3>
Circumference = 2πr = 16π = 2π(8) feet
Radius = 8 feet
Volume = Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)((8²)(100)
Volume = 6400π feet³
Answer:
4.61% increase (round up as needed)
Step-by-step explanation:
Subtract the smaller amount from the larger to find the dollar difference
Then divide the difference by the original amount
Move the decimal point over two spaces (multiply by 100) to get your percentage
0.0461=4.61%
Round up as needed.
Answer:
(25 - 10*y + 16y) + (49 + 8*y - 36y)
Step-by-step explanation:
