Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
Answer:
he should buy 128 oz of milk for 6.49
Step-by-step explanation:
2.49 divided by 32 equals 7 cents unless your rounding which would be 8 cents
4.99 divided by 64 is 7 cents too 8 if rounding
6.49 divided buy 128 oz would equal 5 cents so it is the cheapest.
Answer:
Step-by-step explanation:
1 and 2 are linear pairs
1 and 3 are verticle
4 and 5 are adjacent
For this case we have the following equation, in a linear way:
This expression can be written in the form 
Where "m" is the slope and "b" is the cut point with the y axis.
Rewriting the given expression we have:
Thus, the slope is 3 and the cut point is -5.
To graph, we must find two points through which the line passes, so, we perform the following steps:
Step 1:
We do 
Thus, the point 
Step 2:
We do
Thus, the point 
Answer:
See attached image
