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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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kaheart [24]

Answer:

I think its 21 but iam not sure about the rest

8 0
3 years ago
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Find the value of x in the triangle shown below.<br> x =<br> 98°<br> 27°
Levart [38]

Answer: 55

Step-by-step explanation: There is one simple theorem we need to know in order to solve for this.

Triangle Angle-Sum Property: All three angles interior angles of a triangle add up to 180°.

Thus, we could label the points A, B, and C, and set up an algebraic expression.

Let A = 27, B = 98, and C = x.

A + B + C = 180°.

Substituting A, B, and C we get:

27 + 98 + x = 180°.

Adding, we get:

125 + x = 180°

Subtracting 125 by 180, we get:

x = 55°

Thus, the angle X is 55°.

We could have simply solved this by just doing 180 - 98 - 27 = 55 in the first place, but I wanted to show you how I got such results.

5 0
2 years ago
A jug contains some orange juice. After pouring 240 milliliters of the orange juice into a cup, there are 875 milliliters of ora
zubka84 [21]

Answer:

1,115 mL

Step-by-step explanation:

The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!

4 0
3 years ago
1. In the figure, m DE=124, and M BC=36. The diagram is not drawn to scale. What is m A? A) 44* B) 62* C) 80* D) 88* please help
Anuta_ua [19.1K]

The relation between arc length and exterior angle is given in the figure.

Now we are given far arc length as DE =124

We are given near arc length as BC = 36

So plugging in the formula to find measure of angle A:

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angle A=\frac{124-36}{2}

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3 years ago
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Neeeeeed helllp plzz
tekilochka [14]
Easy


use long division

7 0
3 years ago
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