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gtnhenbr [62]
3 years ago
7

A mall distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land

carrier takes 2000 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 200 loads per day.
Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents the situation?

Options:
1500x+2000y>=150,000 x+y>=200
2000x+1500y>=150,000 x+y>=200
2000x+1500y<=150,000 x+y<=200
1500x+2000y<=150,000 x+y<=200 ...?
Mathematics
2 answers:
Fed [463]3 years ago
6 0
<span>2000x+1500y<=150,000 x+y<=200
is the correct option</span>
aleksley [76]3 years ago
3 0

Answer: 2000x+1500y\leq150,000

\Rightarrow x+\leq200

Step-by-step explanation:

Let x be the number of loads by land carriers and y be the number of loads by air carriers.

Given: A mall distribution center processes as many as 150,000 pieces of mail each day.

Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load.

2000x+1500y\leq150,000

The loading equipment is able to handle as many as 200 loads per day.

\Rightarrow x+\leq200

Hence, the system of inequalities represents the situation is

2000x+1500y\leq150,000

\Rightarrow x+\leq200

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John wrote that 5+5=10.
Anvisha [2.4K]

By the additive property of equality, the equations John wrote are equivalent.

<h3>Additive property of equality: Determining equivalent equations</h3>

From the question, we are to determine if the equations John wrote are equivalent.

From the given information,

John wrote that

5 + 5 = 10

Then,

He added n to both sides of the equation to get

5 + 5 + n = 10 + n

From the Additive property of equality, we have that

"<em>If we add or subtract the same number to both sides of an equation, the sides remain equal</em>."

Since, John added the same number, n, to both sides of the equation, the equations John wrote are equivalent.

Learn more on Determining equivalent equations here: brainly.com/question/21765596

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8 0
1 year ago
What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns
Dmitrij [34]

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

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A=\frac{1}{2}(9)(6)=27\ in^2

step 2

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