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Dennis_Churaev [7]
3 years ago
10

Solve x - 20 > -15, and then graph the solutions. Use pencil and paper. Explain how

Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0

Answer: x ≥ 6

Step-by-step explanation:

So 6 - 20 would equal -14 which is greater than -15 making it our inequality equal to or greater then 6

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The owner of Carlisle Construction is a little
romanna [79]

Answer:

The facility's volume in cubic yards is 9000

Step-by-step explanation:

The volume of the facility is given by the multiplication of it's dimensions.

We want the volume in cubic yards, so the dimensions have to be in yards.

Each feet has a third of an yard. So the dimensions are:

120 feet = 40 yards

45 feet = 15 yards

45 feet = 15 yards

What is the facility's volume in cubic yards?

V = 40*15*15 = 9000

The facility's volume in cubic yards is 9000

8 0
3 years ago
In a class of 7, there 4 syudents who play soccer. If the teacher chooses 3 students, what is the probability that none of the t
Lubov Fominskaja [6]

Answer:

75%

Step-by-step explanation:

Do 3/4 multiplied by 100% (100/100)

Then you get 75/100 which is 75%.

3 0
3 years ago
If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles.
denis23 [38]

In the above word problem, If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles, Quarter 8-inch tiles will cover the same area as one 2-inches.

<h3>What is the justification for the above?</h3>

Note that the area of the one 2-inch tiles is given as:

A1 = 4in²

The area of the quarter 8-inch tiles is:

A2 = 1/4 x 8 x 8

A2 = 16inch²

Divide both areas

A2/A1= 16/4

= 4

This implies she'll need four 2-inch tiles to cover the same amount of space as a quarter 8-inch tile.

Learn more about word problems:
brainly.com/question/13818690
#SPJ4

Full Question:

A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches. State if you agree with each statement about the tiles. Explain your reasoning.

If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles,

8 0
1 year ago
A coin is flipped 3 times what is the probability that heads appears twice
blondinia [14]
Note that the chances of a head and a tail appear in a single toss is 1/2
(1/2)^3 =0.125
7 0
3 years ago
1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a
Sunny_sXe [5.5K]

Answer:

The equation x=4 represents in R^2 c) a line

The equation x=4 represents in R^3 a) a plane

The equation y+3x=2 represents in R^3 a) a plane

The equation z-4y=8 represents d) a plane

The pair of equations y=2,z=8 represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , x=a with a ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set x=4 we will have only one free variable in R^2 (which is a line in R^2). Therefore, x=4 represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set x=4 we will have only two free variables (y and z) and x=4 will represent a plane (which have two dimensions) in R^3.

2) The equation y+3x=2 in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation y+3x=2 in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation z-4y=8 represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations y=2,z=8 set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0
2 years ago
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