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NISA [10]
3 years ago
11

Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr

esents the solution for the given situation
Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:  x ≥ 6

<u>Step-by-step explanation:</u>

12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

<u>-2x  +12</u>  <u>-2x +12 </u>

3x         ≥       18

<u>÷3         </u>     <u>    ÷3 </u>

   x         ≥       6

Graph: 6 -----------→   the dot is closed (filled in) since it is "equal to"

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Answer:

A)

x=  the number of ride tickets

y=  the total cost of admission plus how many ride tickets a person purchases

B)

y= 1.25x + 9.5

C)

It is a$1.25 per ticket for the rides at the fair, so it would be 1.25 multiplied by the amount of tickets that are purchased (x). Spencer bought 17 tickets, so 17x1.25= 21.25 and it says that he spent a total of $30.75 at the fair, so 30.75-21.25=9.5, so that means the cost of admission is $9.50.

Step-by-step explanation:

I hope this helps!

7 0
3 years ago
4.8 + 2.2w − 1.4w + 2.4
Lostsunrise [7]

Answer:

7.2 + 0.8w

Step-by-step explanation:

combine like terms. Like terms have same variable with same power.

2.2w and (-1.4w) are like terms & 4.8 and 2.4 are like terms.

4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w

                                      = 7.2 + 0.8w

5 0
3 years ago
Read 2 more answers
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Irina-Kira [14]

Answer:

B and D

Step-by-step explanation:

\frac{2^{5} }{6^{5} } = (\frac{1}{3} )^{5}

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3 0
3 years ago
The piecewise function h(x) is shown on the graph.
Artemon [7]

Step-by-step explanation/Answer:

<u><em>The value for h(3) is 1.</em></u>

<u><em>Coordinate (3,1)</em></u>

The value on h(3) is located in the last part of the piecewise function, which starts at (1,3) until (4,0). To know the exact image of h(3), we can find the function that belongs to that piece of line, and then calculated the asked value.

So, to calculate the equation, we first have to find the slope with its definition, and then we'll use the point-slope formula to find the equation:

<u><em>Therefore, the coordinates is (3,1), that is, the value for h(3) is 1.</em></u>

3 0
3 years ago
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A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.
Volgvan
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

----------------------------------------------------
----------------------------------------------------

The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter). 

The height of the box is x inches due to this portion being folded up. 

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed). 

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