Part A: 216 students/ 12 classrooms= 18 students: 1 classroom.
Part B: 104 students/ 4 classrooms= 26 students: 1 classroom.
The average ratio of students to classrooms in both school is:
[(18 students: 1 classroom)+ (26 students: 1 classroom)] /2= 22 students: 1 classroom.
26 students - 22 students= 4 students.
There are 4 students who would have to transfer from School B to School A for the ratios of students to classrooms at both schools to be the <span>same, which is 22 students: 1 classroom.
Hope this helps~</span>
Answer:
2x - 10 = 44 + 8x
7x - 4 = 20 =3x
2(x-3) = -20
15 - 4x + 5 = 32
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x-10-(44+8*x)=0
Pull out like factors :
-6x - 54 = -6 • (x + 9)
-6 = 0
Solve : x+9 = 0
Subtract 9 from both sides of the equation :
x = -9
x = -9
Move all terms containing
x
to the left side of the equation.
4
x
−
4
=
20
Move all terms not containing
x
to the right side of the equation.
4
x
=
24
divide each term by 4
x = 6
2(x−3)=−20
Step 1: Simplify both sides of the equation.
2(x−3)=−20
2x−6=−20
Step 2: Add 6 to both sides.
2x−6+6=−20+6
2x=−14
Step 3: Divide both sides by 2.
2x
2
=
−14
2
x=−7
−4x+20=32
Step 2: Subtract 20 from both sides.
−4x+20−20=32−20
−4x=12
Step 3: Divide both sides by -4.
−4x
−4
=
12
−4
x=−3
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
Answer:
(0-2)
Step-by-step explanation: