Let L be the length
Let w be the width
Let p be the perimeter
L+w+L+w=p
L=w+20
3L+2w+3L+2w=240
Sub the first equation in for L in the second equation and solve for w
3(w+20)+2w+3(w+20)+2w=240
3w+60+2w+3w+60+2w=240
10w+120=240
10w=240-120
10w=120
W=120/10
W=12
Sub w into the first equation and solve for L
L=w+20
L=12+20
L=32
Hope this helps!
[-100, -99, -98, -97, -96, 95, -94 .... 94, 95, 96, 97, 98, 99, 100]
its all of the whole numbers from -100 to 100 inclusive
Answer:
= 3n + 77
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then
= 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77
Answer:
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one student ticket.
On the first day of ticket sales the school sold 24 adult tickets and 3 student tickets for a total of $223.00. This means that
24x + 3y = 223 - - - - - - - - - - - -1
The school took in $152 on the second day by selling 7 adult tickets and 6 student tickets. This means that
7x + 6y = 152 - - - - - - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 3, it becomes
144x + 18y = 1338
21x + 18y = 456
Subtracting, it becomes
123x = 882
x = 882/123
x = 7.17
Substituting x = 7.17 into equation 2, it becomes
7 × 7.17 + 6y = 152
50.19 + 6y = 152
6y = 152 - 50.19 = 101.81
y = 101.81/6 = 16.97
Answer:
Width of rectangle = 6 meters
Step-by-step explanation:
Let
Width of rectangle = x
Length of rectangle = 3x-2
Perimeter of rectangle = 44 meters
We need to find:
The Width of rectangle.
The formula used is:

Putting values and finding value of x

So, we get the value of x = 6.
We know that Width of rectangle = x = 6
So, Width of rectangle = 6 meters