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2 years ago

10

A patio blueprint has a key that shows 1 inch is equal to 12 feet. If the owner wants the length to be 30 feet, how many inches

will the length be on the blueprint

1 answer:

harkovskaia [24]2 years ago

5 0

Answer:

18

hope it helps...

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Find the value of x <br> 5x = 20

aleksley [76]

Answer:

4

Step-by-step explanation:

Divide 5 on both sides, to get x=4

8 0

2 years ago

Read 2 more answers

If 430 pounds of pebbles cover 1500 square feet, how many pounds of pebbles are necessary to cover 75,000 square feet?

drek231 [11]

6500 pounds are necessary to cover 75000 square feet

5 0

3 years ago

Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of th

umka2103 [35]

The expressions that represent number of tiles that Devon used on her mosaic:

A. 20 + 2t + 2c

D. 20 + t + t + c + c

<h3>What is an expression?</h3>

An expression refers to a mathematical equation which shows the relationship between two or more numerical quantities or variables.

For the expressions that represent number of tiles that Devon used on her mosaic:

Let the triangle tiles be t.

Let the circle tiles be c.

Two rows of t triangle tiles = t + t = 2t.

Two rows of c circle tiles = c + c = 2t.

Mathematically, the expression is given by:

Total tiles = 20 + t + t + c + c

Total tiles = 20 + 2t + 2c.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

Complete Question:

Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.

Pick all the expressions that represent how many tiles Devon used on her mosaic.

A. 20 + 2t + 2c

B. 20 + 4 ( t + c )

C. 2 ( 20 + t + c )

D. 20 + t + t + c + c

8 0

1 year ago

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six

kherson [118]

Answer:

x = 0.53 cm

Maximum volume = 1.75 cm³

Step-by-step explanation:

Refer to the attached diagram:

The volume of the box is given by

$V = Length \times Width \times Height \\\\$

Let x denote the length of the sides of the square as shown in the diagram.

The width of the shaded region is given by

$Width = 3 - 2x \\\\$

The length of the shaded region is given by

$Length = \frac{1}{2} (5 - 3x) \\\\$

So, the volume of the box becomes,

$V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\$

In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

$\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\$

We are left with a quadratic equation.

We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where

$a = 18 \\\\b = -38 \\\\c = 15 \\\\$

$x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\$

Volume of the box at x= 1.59:

$V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\$

Volume of the box at x= 0.53:

$V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3$

The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

7 0

2 years ago

PLEASE HELP ASAP

dezoksy [38]

Answer:

Round 1.9 to 2 cm and multiply by 18.

Step-by-step explanation:

Round 1.9 to 2 cm and multiply by 18. then you will get your answer

8 0

2 years ago