Answer:
Length = 27 metres
Width = 9 metres
Step-by-step explanation:
Consider the width to be x.
Then the length will be 3x.
The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.
So the dimensions will become:
Length=3x-4
Width=x+1
Now solve for the variable x using the formula for perimeter of a rectangle:
P = 2(l+b)
66 = 2(3x-4+x+1) (Divide both sides by 2 and simplify the parentheses)
33 = 4x-3 (Add 3 to both sides)
36 = 4x (Divide both sides by 4)
x = 9
Now plug-in the value of x into the original dimensions which were:
Length=3x
Width=x
So the dimensions are:
Length = 27 metres
Width = 9 metres
He sold 76 shirts and 24 pants.
Step-by-step explanation:
Given,
Cost of one t-shirt = $20
Cost of one pants = $45
Total items sold = 100
Total sales = 2600
Let,
x be the number of t-shirts
y be the number of pants
According to given statement;
x+y=100 Eqn 1
20x+45y=2600 Eqn 2
Multiplying Eqn 1 by 20
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 25
Putting in Eqn 1
He sold 76 shirts and 24 pants.
Keywords: linear equations, subtraction
Learn more about linear equations at:
#LearnwithBrainly
Just take any two points from the graph. For example (4, -2) , (0, -3) Slope = (y2-y1) / (x2-x1) = -2-(-3) / 4-0 = 1/4
Answer: W= 5000+0.07S
Step-by-step explanation:
Given: A pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of 7% of sales.
Total wages = Monthly salary + 7% of (Monthly sales)
Let salesperson’s monthly wage be W and monthly sales be S.
Then, W = 5000+(0.07) (S) [Convert percent into decimal by dividing it by 100]
Or W= 5000+0.07S
Required linear equation: W= 5000+0.07S
