Using proportions, it is found that he can sort 2160 pieces in 45 minutes.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
He can sort 8 pieces of mail in 10 seconds, hence the number of pieces he can sort per second is given by:
8/10 = 0.8 pieces per second.
45 minutes have 45 x 60 = 2700 seconds, hence the number of pieces is:
2700 x 0.8 = 2160 pieces.
He can sort 2160 pieces in 45 minutes.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
(2, 1)
Step-by-step explanation:
To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.
y = 6x - 11
-2x - 3(6x - 11) = -7 Distribute.
-2x - 18x + 33 = -7 Combine like terms.
-20x + 33 = -7 Subtract 33 from both sides of the equation.
-20x = -40 Divide by -20 on both sides of the equation.
x = 2
Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.
y = 6(2) - 11
y = 12 - 11
y = 1
Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).
Answer:
Translate along the transversal
Step-by-step explanation:
10x^2-23x+13
(10x-13)(X-1). Answer
Look at steps to learn this try not to just copy answer
10x(X-1)= 10x^2-10x
-13(X-1)= -13x+13
-10x^2-10x-13x+13
-10x^2-23x+13
Answer:
152
Step-by-step explanation:
180 - 28 = 152
