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Simora [160]
3 years ago
10

Divya is organizing a training for two different seminars, one for teachers and one for mechanics. She has a total of 132 pens a

nd 87 pads of paper. If each of the teachers need 3 pads of paper and 5 pens, and each of the mechanics needs 1 pad of paper and 2 pens, how many teachers and mechanics can she have at the conventions?

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Step-by-step explanation:

Below is an attachment containing the solution.

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Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
Solve this equation using the least common denominator ?
Likurg_2 [28]
The answer would be
A. 3/4
6 0
3 years ago
Shirt cost $20 each and ties cost $12 each. Write an expression for the cost of s shirts and t ties
Ierofanga [76]
20s+12t= is your expression.
6 0
3 years ago
Read 2 more answers
Find the zeros of the following equation using the quadratic formula y = x2 + 13x – 48​
Art [367]
X2+13x-48
(x-3)(x+16)
X=3, X=-16
3 and -16 are the Zeros
5 0
3 years ago
Which line has an equation of y=-5x+4 in slope-intercept form?
tino4ka555 [31]

You can figure the line for each pair of points, or you can try the points in the equation you have and see which are on the line.


First answer: x=1, y=-5×1 +4 = -1 . . . not 9. (1, 9) is not a point on the line


Second answer: x=2, y=-5×2 +4 = -6 . . . not -14. (2, 14) is not a point on the line


Third answer: (see the calculation for the first answer) . . . -1 ≠ 1. (1, 1) is not a point on the line


Fourth answer: (see the calculation for the second answer) We know that (2, -6) is on the given line. Checking (4, -16), we find it is as well.



The appropriate choice is the 4th answer:

... a line passing through the points (2, -6) and (4, -16)

4 0
3 years ago
Read 2 more answers
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