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Amiraneli [1.4K]
3 years ago
14

Solve -12>3x then graph on a number line that you create and please please show all of your work step by step.

Mathematics
1 answer:
V125BC [204]3 years ago
5 0
The work has one step: divide the expression by 3.
.. -4 > x

Because the symbol is "greater than", the circle at x=-4 is an open circle.

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The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
LekaFEV [45]

Answer:

  border area: 100 m²

Step-by-step explanation:

The area of the pool border will be the overall area of the pool and boder, less the area of the pool. The area of each rectangle is the product of its length and width. The length and width of each can be found using the Pythagorean theorem.

__

<h3>Pythagorean Triple</h3>

The triple (3, 4, 5) is called a Pythagorean triple, because ...

  3² +4² = 5²

That is, a triangle with sides of lengths 3, 4, and 5 will be a right triangle with a hypotenuse of length 5.

__

<h3>Application to Pool/Border Dimensions</h3>

We notice that the sides of the rectangles in the figure have a rise/run of ±3/4 or ±4/3. In each case, the side of the rectangle is the hypotenuse of a triangle with dimensions a multiple of 3 or 4 meters. Hence the hypotenuse (rectangle side length) is the corresponding multiple of 5 meters. The attachment illustrates this point, showing a triangle with sides that are (6, 8, 10), 2 times the basic triple.

The pool is 5 m by 10 m, for an area of ...

  A = LW = (10 m)(5 m) = 50 m²

The overall area is 10 m by 15 m, for an area of ...

  A = (15 m)(10 m) = 150 m²

__

<h3>Border Area</h3>

The pool's border is the difference between the overall area and the pool area:

  150 m² -50 m² = 100 m² . . . . area of pool's border

7 0
2 years ago
6. We want to build the smallest cube possible using bricks with dimensions 8 cm - 12 cm 20 cm. How many bricks do we need?​
Georgia [21]

Answer:

1200

Step-by-step explanation:

We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.

In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks

7 0
2 years ago
What is the solution for x in the equation? -4 + 5x − 7 = 10 + 3x − 2x A.  B.  C.  D. 
laiz [17]

Answer:

x=21/4

Step-by-step explanation:

1. combine like terms

-4+-7= -11  3x-2x=x

2. subtract x

5x-11=x+10

4x-11=10

3. add 11

4x=21

4. divide 21 by 4 = 21/4

8 0
3 years ago
Math emended. D d did dnend d d d d d dd
guajiro [1.7K]

Answer:

huh?

Step-by-step explanation:

whats the questionnnnnnn

7 0
3 years ago
A cone had a diameter of 6 centimeters and a height that is 5 times the diameter. Using 3.14 for pi, which of the following can
marysya [2.9K]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
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