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Kitty [74]
3 years ago
7

Which equation represents a proportional relationship?

Mathematics
1 answer:
notsponge [240]3 years ago
5 0

Which equation represents a proportional relationship?

C. y=1/2x+3

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Solve the system by substitution. <br> 7x-3y=-25 <br> 4x+5=y <br><br> Simplify<br> ( , )
Lynna [10]

Answer:

nznsjisisjnsnaksodood

3 0
2 years ago
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
In which type of economy does the government control all of the factors of production? A. mixed B. market C. command D. traditio
melomori [17]

Answer:

In a command economy, the government controls major aspects of economic production. The government decides the means of production and owns the industries that produce goods and services for the public

Step-by-step explanation:

hope this helps!

7 0
3 years ago
Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.
Basile [38]
So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of<span> the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 </span>× x × y<span>
This can be written as 2x </span>× y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.<span>

</span>
3 0
3 years ago
Read 2 more answers
39. The equation of a line in standard form is
Harman [31]

Answer:

Let's solve for x.

4x−2y=20

Step 1: Add 2y to both sides.

4x−2y+2y=20+2y

4x=2y+20

Step 2: Divide both sides by 4.

4x/4

=  2y+20/4

x=  1/2y+5

Answer: x=  1/2y+5

6 0
3 years ago
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