Answer:
(40.6) Is the answer
Step-by-step explanation:
| -72 + 32.4| + 18 / 6 * 3
we do the absolute value first. |-72+32.4| = 39.6
then multiplication (following PEMDAS) 6 * 3 = 18
18 / 18 = 1
39.9 + 1 = 40
Answer:
Condition 1:
four times the sum of X and Y = 4(X + Y)
Condition 2:
the sum of four times X and Y= 4X + Y
In condition 1, both the variables are first added and then multiplied by four. This can be simplified as:
4X +4Y
I condition 2, only the variable X is multiplied with 4 and then added to Y.
With positive integers, condition 1 will always give a greater value.
With negative integers, condition 2 will have greater value.
I hope it will help you!
Answer:
120 cm
Step-by-step explanation:
If you rearrange the lines you will get a rectangle whose sides are 25 cm and 35 cm.
To get a triangle, move the lines inside the rectangle keeping them parallel to the lines in front of them.
Let P the perimeter of the rectangle:
P = 25*2 + 35*2 = 50+70 = 120 cm
Answer:
The root beer mug
Step-by-step explanation:
To known what vessels holds more root beer, we must find the volume (this is the holding capacity) of the two vessels. From the description given, the mug is a cylinder while the glass is a cone.
The volume V of a cylinder whose height is h and radius r may be found as
V = πr²h
The volume V of a cone with similar features
V = 1/3πr²h
Hence the volume of the mug shaped basically like a cylinder that is eight inches tall with a radius of three inches
= π * 3² * 8
= 72π Inches³
Given that the cone shaped bottle has a diameter of four inches, the radius r = 4/2
= 2 inches
Hence the volume of the bottle
= 1/3 * π * 2² * 18
= 24π Inches³
Based on comparison, the mug holds more root beer