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Ronch [10]
3 years ago
9

Otis is cutting a long piece of wood trim into smaller pieces for an art project. The line plot shows the length of the smaller

pieces of wood. How many pieces of wood will be at least 1 2 foot in length?
Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

6

Step-by-step explanation:

From the line plot, the length of wood measuring atleast 1/2 in length include :

Piece with length 1/2 and pieces with length 2/3

Number of pieces with length 1/2 feets = 4

Number of pieces with length 2/3 feets = 2

Pieces with atleast 1/2 feet length = 4 + 2 = 6

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If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
Help me solve for x. the angles they give to you are 138, 78, and 94. please help ​
Taya2010 [7]

Answer:

x = 8

Step-by-step explanation:

180 = 78 + 94 + x

180 =172 + x

-172 -172

18 = x

7 0
3 years ago
A clothing store is selling a shirt for a discounted price of $43.61. If the discount is 11%, what was the original price, in do
svet-max [94.6K]

Answer:

$49

Step-by-step explanation:

Given that the discounted price is $43.61 and this was at an 11% discount

hence the discounted price represents 100% - 11% = 89% of the original price.

if:

89% of original price = $43.61

1% of original price = $(43.61 / 89)

100% of original price = $(43.61 / 89) x 100 = $49

4 0
3 years ago
Read 2 more answers
Find the value:<br> 4+3x2-2²=
UNO [17]

Answer: 6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the domain and range of the function shown in the graph?
love history [14]
The domain is the set of all x values which are defined (appear on the graph) of the function. In this system, all values from negative infinity to 0, but not including zero, and all values above zero, through positive infinity, are valid. We can write this in set builder notation as x: (-∞,0)∪(0,∞).

The range is the set of all y values which are defined in the function. Like the domain, the range of this function contains all value from negative infinity to positive infinity except zero. Same notation: y: : (-∞,0)∪(0,∞).


3 0
3 years ago
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