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My name is Ann [436]
3 years ago
14

Solve the system.3 x - 1 2 y = 1 1 4 x + 3 8 y = -1

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

y = -13/14 and x = 240/7

Step-by-step explanation:

3x - 12y = 114 ............eqn 1

x + 38y = -1 ..........eqn 2

Multiply eqn 2 by 3

3x + 114 = -3

Subtract eqn 2 from 1

3x - 12y = 114

- 3x + 114 = -3

____________

0 - 126y = 117

y = 117/-126

y = -13/14

Sub y = -13/14 in eqn 1

3x - 12(-13/14) = 114

3x + 78/7 = 114

Multiply through by 7

21x + 78 = 798

21x = 798 - 78

21x = 720

x = 720/21

x = 240/7 = 34.29

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olya-2409 [2.1K]

Answer:

7.5 pencils broken in a week (5 days).

Step-by-step explanation:

1.5 pencils broken a day

Now we just multiple this by 5 for each of the school day's.

1.5 pencils * 5 days = 7.5 pencils broken in a week.

Have a nice day! :)

Please mark this answer as brainiest!

7 0
3 years ago
A hollow toy, with the dimensions shown in the figure, is to be stuffed with rigid foam. What is the maximum amount of foam that
Fudgin [204]

Option B: 67.02 cubic inches

<h2>Given that:</h2>

The diagram consists of two parts:

  • First a cone on the top with 12 inches height and 4 inches diameter.
  • Second a semi sphere with diameter of 4 inches.

<h2>Calculations:</h2>

The amount of foams that can be stuffed with foam is total volume of both the containers.

Volume of the given cone of 12 inches height and 4 inches diameter can be given as:

\dfrac{1}{3} \times \pi \times 2^2 \times 12\\= 50.265 \: \rm inch ^3

Volume of the semi sphere of 4 inches diameter can be given as:

\dfrac{2}{3} \pi \times 2^3\\= 16.755 \: \rm inch^3

Thus total volume is 50.265 + 16.755 = 67.02 cubic inches.

Thus option B : 67.02 cubic inches is the needed volume.

Learn more here:

brainly.com/question/1315822

7 0
2 years ago
Factor the GCF: 9x4y − 6x3y2 + 3x2y3.
Ganezh [65]
For this case we have the following expression:
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the GCF is:
 3x^2y (3x^2 - 2xy + y^2)
 option A: a 3 is missing at the beginning of the option.
7 0
3 years ago
Eleven is 20% of _______?
strojnjashka [21]
55
You Times 20% by 5 to get fully 100%
So if 11 is 20%
You have to Times 11 by 5 to get fully 100%
11 x 5 is 55.
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5 0
3 years ago
The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle can be no more than 48 inches. What is
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Answer:nodontdoit

Step-by-step explanation:

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