PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction
First, we do the exponents.
5² - 4 · 6 + 11
= 25 - 4 · 6 + 11
Next, multiplication (according to PEMDAS).
= 25 - 24 + 11
Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.
= 25 - 24 + 11
= 1 + 11
Finally, addition.
= 12
This is your answer. Happy studying~
Answer:
x=2
z=80
Step-by-step explanation:
Since (7x+66) and (11x+78) are a linear pair, their measures are supplementary and therefore add up to 180 degrees. z and (7x+66) are also vertical angles, meaning that they are equal.
7x+66+11x+78=180
18x+144=180
18x=36
x=2
z=7x+66=7(2)+66=14+66=80
Hope this helps!
Answer:
m < -18/19
Step-by-step explanation:
8m + 95 < -87 m +5
Add 87m to each side
8m+87m + 95 < -87 m+87m +5
95m + 95 < 5
Subtract 95 from each side
95m + 95-95 < 5-95
95m < -90
Divide each side by 95
95m/95 < -90/95
m < -18/19
V = Volume of cylinder
B = area of base
h = height of cylinder
It turns out that
V = B*h
In a similar way to that of a cube
If we know that V = 84pi and h = 7, then we can plug those values into the formula above, and solve for B
V = B*h
84pi = B*7
84pi/7 = B*7/7 ... divide both sides by 7
12pi = B
B = 12pi
Therefore the base is 12pi square units
Volume of a cylinder = the area of the base x height of the cylinder
Area of base =
r^2
A = 6^2(
)
A = 36
V = 36
x 12
V = 432
5 cylinders = 5V
5V = 5 x (432
)
5V = 2160
Final answer: Alex needs to buy 2160
or 6785.84 cubic feet worth of compressed air to fill all of the cylindrical tanks.
