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weeeeeb [17]
3 years ago
12

Give a brief explanation as to what kind of solution you expect for the linear equation 18x +1/2 equals 6(3x +25). Transform the

equation into a simpler form if necessary.
Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

there cannot be any solution of the given linear equation.

Step-by-step explanation:

i) the linear equation of 18x + \frac{1}{2} = 6(3x + 25)

ii) transforming the equation to a simpler form we get

              18x + \frac{1}{2} = 18x + 150  which implies that \frac{1}{2} = 150 which is not true.

iii) therefore there cannot be any solution of the given linear equation.

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Nataliya [291]

3. 12 a

4. 7b-10

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5 0
3 years ago
Read 2 more answers
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. M
valkas [14]

Answer:

i. No, Maurice statement is wrong.

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width.

Since the piece of wood has a shape of a rectangle,

the area of the piece of wood = length × width

                                                 = 18 × 12

                                                = 216 square inches

According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.

The base has the shape of a square, so that;

     the area of the base = length × width = length^{2}

                                       = 1012 ×1012

                                      = 1024144 squared inches

This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.

5 0
3 years ago
What is the right answer. PLEASW HELP. URGENT.
Elanso [62]
1099 square inches hope this helps
3 0
3 years ago
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
Mary rented a truck for one day. There was a base fee of $13.50, and there was an additional charge of 9 cents for each
marishachu [46]

Answer:

15.3 dollars

Step-by-step explanation:

13.50 + (.09 x 20 = 1.8)

13.50 + 1.8

5 0
2 years ago
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