Answer:
The dimensions are length=32 inches and width=24 inches
Step-by-step explanation:
Recall that perimeter of a rectangle is

The ratio of its length to width is 4:3.
This implies that,

We substitute P=112 inches, and l in terms of w to get;





The length is

Answer:
t = 10.
Step-by-step explanation:
We can combine like terms, getting 11t - 5 = 105.
Add both sides by 5, getting 11t = 105 + 5 = 110.
We can then divide both sides by 11, getting t = 10.
A little Algebra, and we're home free!
We are given R = 20 and r2 = 75. We need to find r1.
The formula is 1/R = 1/r1 + 1/r2. Plug-in:
1/20 = 1/r1 + 1/75
1/20 - 1/75 = 1/r1
0.0366 = 1/r1
r1 = 1/0.03666
r1 = 27.272
Our answer is r1 = 27 ohms.
9 :
Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6
= > Perimeter of Rectangle = 2( base + height )
= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }
= > 88 / 2 = { x + 4 + x - 6 }
= > 44 = 2x - 2
= > 46 = 2x
= > 46 / 2 = x
= > 23 = x
Therefore,
Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units
Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units
10 :
Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4
Given that the sum of all integers is 36
= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36
= > x + x + 2 + x + 4 = 36
= > 3x + 6 = 36
= > 3x = 30
= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )
= > x = 10

Value of first integer = x = 10
Answer:
1) I am not sure what a few bags mean
2)11-27.94 cm 8=21.59 cm
11 x2.54=27.94
8x2.54=21.59
3)17.52
4 students have the same profit so they will each keep their own money
Step-by-step explanation: