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laiz [17]
3 years ago
6

98 POINTS LINEAR PROGRAMMING

Mathematics
1 answer:
valina [46]3 years ago
6 0

P = printer

M = microwave

Weight Equation: 20P + 30M = 1600

Size equation: 3P + 2M = 150


Solve Weight Equation:

20P + 30M = 1600

Subtract 30M from each side:

20P = 1600 - 30M

Divide both sides by 20:

P = 80 - 3/2M


Replace P in size equation with above:

3(80 - 3/2M) + 2M = 150

240 - 4.5M + 2M = 150

240-2.5M = 150

Subtract 240 from each side:

-2.5M = -90

Divide both sides by -2.5:

M = 36


Now solve for P:

3P + 2(36) = 150

3P = 72 = 150

3P = 78

P = 78/3

P = 26


26 Printers and 36 Microwaves.


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If you need help for all 3 questions then ok.
Here’s what you need to do. If they give you a rectangular prism with a side length of #, that number is the length, width and height. I’ll help you for the first picture. They asked how many cubic blocks with a SIDE LENGTH of 1/7 in can fill in a cube with the SIDE LENGTH of 3/7 in. Here is your equation: (3/7 x 3/7 x 3/7) / (1/7 x 1/7 x 1/7). That’s how you solve it. (The slash stands for division.) Now do the same thing with the other pictures. They will ask you how many blocks with a side length of # can fill in a prism with the length, width, and height (or just a side length without saying the l, w and h.) Hopefully this helped! If I got it wrong or if you need help cause you didn’t get what I mean, let me know.

bYe
3 0
3 years ago
Your friend claims that there is not enough information given to find the value of x.Is your friend correct?
Kay [80]
No not a full question
6 0
3 years ago
Beth has 4900 feet of fencing available to enclose a rectangular field. one side of the field lies along a river, so only three
Illusion [34]

Perimeter (P) = 2L + x

            4900 = 2L + x   ⇒  4900 - x = 2L  ⇒ \frac{4900 - x}{2} = L

Area (A) = L · x

A  = (\frac{4900 - x}{2}) (x)

    = \frac{4900x - x^2}{2}

4 0
3 years ago
Evaluate ƒ(x) = –4x – 5 for x = –1.
11111nata11111 [884]
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4 0
3 years ago
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
andriy [413]

Answer:

<h2>Yes, this is a right triangle.</h2>

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

Plugging the values,

{15}^{2}  =  {12}^{2}  +  {9}^{2}

Evaluate the power

225  = 144 + 81

Calculate the sum

225 = 225

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

4 0
2 years ago
Read 2 more answers
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