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masha68 [24]
3 years ago
6

Part A: Solve −np − 80 < 60 for n. Show your work. (4 points)

Mathematics
1 answer:
morpeh [17]3 years ago
7 0
Solution:

1) Add 80 to both sides
-np<60+80

2) Simplify 60+80 to 140
-np<140

3) Divide both sides by p
-n<\frac{140}{p}​​

4) Multiply both sides by -1
n>-\frac{140}{p}

Done!
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-8k+8m+5

I think this is the answer

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(1/3)•(-2) = ?<br><br> Please answer ASAP!! :)
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Answer:

-.6 repeating

Step-by-step explanation:

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The distance between two towns is 21.673 km. Round of the distance to nearest 0.01 km.
Volgvan

Answer:

21.67

Step-by-step explanation:

look at the number in the 0.01 value then the number next to it

if it's five or above then the 7 goes up if it's 4 and below then the number stays the same. in this case the number will stay the same

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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
Alexandra [31]
Answer: y-axis.

Explanation:

The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.

The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.

Also, I attached the graph in cartesian coordinates.

Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).

<span> <span><span> θ (rad)    r = 3 - 4 sin θ </span> <span>

0               3 </span> <span>
π/8            2.61731657 </span>
<span> π/4            2.29289322 </span> <span>
3π/8          2.07612047
</span> <span> π/2            2
</span> <span> 5π/8          2.07612047 </span> <span>
3π/4          2.29289322 </span> <span>
7π/8          2.61731657 </span> <span>
π               3 </span> <span>
9π/8          3.38268343 </span> <span>
5π/4          3.70710678 </span> <span>
11π/8        3.92387953 </span> <span>
3π/2          4 </span> <span>
13π/8        3.92387953 </span> <span>
7π/4          3.70710678 </span> <span>
15π/8        3.38268343 </span> <span>
2π             3 </span> </span></span>

In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.

Therefore, the graph is symmetric about the y-axis.





7 0
3 years ago
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A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se
nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = x

Let number of units of second product = y

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow  5x+4y = 2160...... (2)

Multiplying equation (2) with 2 and subtracting equation (1) from it:

8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}

By equation (1):

10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0
3 years ago
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