Answer:
p = 10t - 100
Step-by-step explanation:
Perform the indicated multiplication: p = 10t - 100.
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:
(a - b)3.2 = 640
a - b = 200 (1)
Also:
(a + b)2 = 640
a + b = 320 (2)
The solution to equation 1 and 2 is:
a = 260, b = 60
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
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Let us assume that a person works for 8 hours a day.
Let us assume that the person works for 5 days a week.
Wage earned per hour = $15
So, wage earned in 8 hours = 15*8 = $120
Now, wage earned in 1 day = 120
So, wage earned in 5 days = 120*5 =$600
As the person works for 5 days in 1 week
So, in 50 weeks, he will work = 50*5 = 250 days
So, total number of hours he must have worked = 250*8 =2000 hours
Now, per hour wage = $15
wage in 2000 hours = 15*2000 = $30000
Hence, the estimated wage a person earns in 50 weeks = $30000
Simplify the expression
-10
Hope this helps! :)
The area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
<h3>How to Calculate the Area of a Rectangle?</h3>
The area of a rectangle is calculated using:
Area = (length)(height).
We are given the following:
Length of rectangle ABCD = side DC = 4y - 5
Height of rectangle ABCD = side AD = 2y
The area of rectangle ABCD = (length)(height) = (4y - 5)(2y).
Expand the expression
The area of rectangle ABCD = 2y(4y) - 2y(5) [distributive property of multiplication]
The area of rectangle ABCD = 8y^2 - 10y
Thus, the area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
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