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KiRa [710]
3 years ago
15

When estimating you should use what numbers Odd Even Large Round

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

Round

Step-by-step explanation:

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I need help with number 1
Sophie [7]
Changing those words into an equation, we get:
7+3x = 19
Subtract both sides by 7
3x = 12
Divide both sides by 3
x = 4
That number is 4. Have a nice day! :)
6 0
3 years ago
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0
2 years ago
Solve the following system of equations below x-2y=3 2x-3y=9
Artyom0805 [142]

x - 2y = 3 \\ 2x - 3y = 9 \\  \\  - 2x + 4y =  - 12 \\  \: 2x - 3y = 9 \\  \\ y =  - 3 \\ 2x + 9 = 9 \\ 2x = 0 \\ x = 0 \\ x = 0 \:  \: y =  - 3
7 0
3 years ago
Read 2 more answers
Solve for x and then find the measure of
harkovskaia [24]

Answer:

x = 11

∠B = 80°

Step-by-step explanation:

∠A =∠B because they are corresponding angles

8x - 8 = 5x + 25

3x = 33

divide both sides of the equation by 3:

x = 11

∠B = 5(11) + 25 = 80°

7 0
2 years ago
Please help this makes no sense to me
Whitepunk [10]
The answer to your question: the ratio of 4 months that have 30 days is ✨3 to 1✨
8 0
2 years ago
Read 2 more answers
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