Answer:
10 units
Step-by-step explanation:
Represent the length of the shortest side of the triangle by x. Then the sum of the lengths of the other two sides is 2(x + 1), and the perimeter of the triangle is thus x + 2(x + 1), or 3x + 2.
Represent the side length of the square by x - 2. Then the perimeter of the square is 2(x - 2) + 2(x - 2) = 4(x - 2) = 4x - 8, and this perimeter matches that of the triangle:
4x - 8 = 3x + 2, or
x = 10
The length of the shortest side of the triangle is 10 units.
Answer:
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
The given is:
1. An electrician earns 100 dollars for a project installing light fixtures
2. She must pay for the light fixtures herself and they cost 2 dollars
and 50 cents each
3. x represent the number of light fixtures and y represent her
total profit
Her profit is the amount of money she has left over after paying for
the light fixtures
∵ The cost of each light fixtures is 2 dollars and 50 cents
- Let us change the cents to dollar
∵ $1 = 100 cents
∴ 50 cents = dollar
∴ 2 dollars and 50 cents = $2.5
∵ Her profit = The money she earns - The money she pays
∴ The cost of each light fixtures = $2.5
∵ She installs x light fixtures
∴ She pays 2.5 x dollar
∵ She earns $ 100 for installing x light fixtures
∵ Her profit is $y
∴ y = 100 - 2.5 x
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
11,000,000 + 700,000 + 60,000 + 800 + 20 + 5 (expanded form)
eleven million seven hundred sixty thousand eight hundred twenty-five (word form)
The conversion factor should be multiplied in Step 2 instead of being divided.
