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Volgvan
3 years ago
14

The portions of a house that need to be heated can be modeled by one rectangular prism with a length of 45 feet, a width of 20 f

eet, and a height of 18 feet, and a second rectangular prism with a base area of 350 square feet and a height of 9 feet. What is the total volume?
Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0
45x20x18=16,200
350x9=3,150

16,200+3,150=19,350 Cubic ft
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there are 1,560 students at a school. 85% of them ride the bus, how many students do not ride the bus?
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What does it mean to eliminate a variable?
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Answer:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation.

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avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

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