Answer:
20
Step-by-step explanation:
You need to create two equations for each company and then set them equal to each other. The keywords base fee means you will pay this amount regardless, so this amount stays constant and it will be the constant in the equation. The other keyword is per. Per will link the variable with the coefficient.
The first equation for company M:
y = 12x + 60
The second equation for company N:
y = 9x + 120
Set the equations equal to each other.
9x + 120 = 12x + 60
Solve for x. I am going to subtract 9x from both sides first.
9x - 9x + 120 = 12x -9x +60
120 = 3x +60
Now, I will subtract 60 from both sides.
120 - 60 = 3x + 60 - 60
60 = 3x
Finally, I will divide both sides by 3
60/3 = 3x/3
x = 20
20 is how many guests it will take for the total cost to be the same.
Answer:
Step-by-step explanation:
10+6n=n-5
6n-n=-5-10
5n=-15
n=-3
Answer:
<u>92 feet.</u>
Step-by-step explanation:
Given:
The length of the garden needs to be 22 feet longer than the width of the garden.
The perimeter of the fence is a total of 324 feet
Question asked:
What will the length be of garden ?
Solution:
As length of the garden needs to be 22 feet longer than the width,
<u>Let width</u> = 
Then,<u> length </u>will be = 
As here perimeter of the fence is given, we can find length and width of garden by using:
Perimeter of rectangle = 

Subtracting both sides by 44

Dividing both sides by 4

Width =
= 70 feet
Then, length will be =
= 70 + 22 = 92 feet
Therefore, the length of the garden will be 92 feet.
Answer:
Step-by-step explanation:
m∠1+∠2=180
2x+40+2y+40=180
2x+2y=180-80
2x+2y=100
x+y=50
x=50-y
m∠1=m∠3
2x+40=x+2y
2x-x=2y-40
x=2y-40
2y-40=50-y
2y+y=50+40
3y=90
y=30
x=50-y=50-30=20
m∠1=2x+40=2×20+40=80°
m∠2=2y+40=2×30+40=60+40=100°
m∠3=x+2y=20+2×30=80°
Answer:
<h2>
The third: 5.32 cubic units</h2>
Step-by-step explanation:
R = 1.52
H = 2.2
π = 3.14
