Answer:
Length is 10
Width is 8
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
![P=2l+2w](https://tex.z-dn.net/?f=P%3D2l%2B2w)
We are told that the length l is 2 more than twice the width w. In other words:
![l=2+2w](https://tex.z-dn.net/?f=l%3D2%2B2w)
Also, we are given that the perimeter is 28. Therefore:
![P=2l+2w\\28=2(2+2w)+2w](https://tex.z-dn.net/?f=P%3D2l%2B2w%5C%5C28%3D2%282%2B2w%29%2B2w)
Distribute:
![28=4+4w+2w](https://tex.z-dn.net/?f=28%3D4%2B4w%2B2w)
Combine like terms:
![28=4+6w](https://tex.z-dn.net/?f=28%3D4%2B6w)
Subtract 4 from both sides:
![6w=24](https://tex.z-dn.net/?f=6w%3D24)
Divide by 6:
![w=4](https://tex.z-dn.net/?f=w%3D4)
So, the width is 4.
And the length is 2 more than twice the width. Thus:
![l=2+2(4)\\l=2+8=10](https://tex.z-dn.net/?f=l%3D2%2B2%284%29%5C%5Cl%3D2%2B8%3D10)
The length is 10.
And we are done :)
Answer: At least 9 vehicles
Step-by-step explanation:
Let the number of vehicles be represented by x
Based on the information given, will be calculated using the equation below:
2400 + 250x ≥ 4500
250x ≥ 4500 - 2400
250x ≥ 2100
x ≥ 2100 / 250
x ≥ 8.4
The person must sell at least 9 vehicles
Answer:
t = 51 - 25p
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
25p + 1t = 51
<u>Step 2: Solve for </u><em><u>t</u></em>
- [Subtraction Property of Equality] Subtract 25p on both sides: 1t = 51 - 25p
- Simplify: t = 51 - 25p
The slope of a line that would be perpendicular would be (-5/2)