"three times a number is greater than or equal to 12 and less than 21"
1 answer:
Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7
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Answer:
A.
B. 42.2 million
Step-by-step explanation:
Part A:
Given:
Newspapers circulated in year 2004,
Newspapers circulated in year 2014,
Let the time start at the year 2004. So,
For the year 2014,
Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:
Therefore, the equation describing the relationship is:
Part B:
For the year 2018,
Plug in 14 for in the above equation and solve for
. This gives,
Therefore, in the year 2018, the newspaper circulation will be 42.2 million.
Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
<h3>What are Units conversions?</h3>Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,
Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69
= €398.31
Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,
The amount that is left with Kari,
Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,
Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
Learn more about Units conversion: