Is negative one half rational or irrational

The maximum number of teenagers who live in Geotown can be found by solving an equation using the given information that 210 teenagers own a tablet, which is at least 4/5 of all teenagers in Geotown.

We are given that 210 teenagers own a tablet, and this number is at least 4/5 of all teenagers in Geotown. Let's represent the total number of teenagers in Geotown as 'x'. According to the given information, 4/5 of x is equal to 210. We can set up the equation (4/5)x = 210 and solve for x.

To solve for x, we can multiply both sides of the equation by the reciprocal of 4/5, which is 5/4. This gives us x = (5/4) × 210 = 262.5. However, since the number of teenagers must be a whole number, we round down to the nearest whole number and conclude that the maximum number of teenagers who live in Geotown is 262.

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To plot 7/12 on the number line, divide the line into equal parts and determine where 7/12 falls. 7/12 is closer to 1 than to 1/2 or 0.

Plotting a fraction, such as 7/12, on a number line involves breaking down the interval into equal parts and determining the position of the fraction within that range. In this case, the fraction 7/12 is being considered.

To understand where 7/12 falls on the number line, it's essential to consider both the numerator (7) and the denominator (12). When comparing fractions, having a larger denominator signifies smaller parts, while a larger numerator indicates more parts taken. In this context, the denominator 12 is greater than 2, suggesting that 1/2 is smaller than 7/12. Additionally, since the numerator 7 is smaller than 12, we can conclude that 1 is smaller than 7/12.

As a result of these comparisons, it becomes apparent that 7/12 is closer to 1 on the number line than it is to 1/2 or 0. This intuitive understanding of fraction placement on a number line helps in visualizing the relative sizes and positions of fractions, contributing to a deeper grasp of mathematical concepts and comparisons.

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Final answer:

The student question doesn't correctly pertain to David Hilbert; thus, an answer specific to him is not provided. Instead, a brief description of Hilbert’s contributions to mathematics is outlined, showing a potential misunderstanding or typo in the original question.

Explanation:

The question does not directly relate to David Hilbert, hence answering the question as posed is not possible. David Hilbert was a renowned German mathematician known for his contributions to fields such as invariant theory, the calculus of variations, commutative algebra, and algebraic number theory. His work also had a profound influence on the foundations of mathematics, especially through the establishment of formalism as a philosophy of mathematics, and his famous list of 23 unsolved problems presented in 1900. Notably, Hilbert's name is often associated with the Hilbert's Program, which aimed to provide a complete and consistent set of axioms for all of mathematics, and the Hilbert space, which is a concept in functional analysis that provides a general framework for the mathematical formalism of quantum mechanics. Unfortunately, the information provided in the student question references several other philosophers and mathematicians, such as Harman, Dharmakīrti, Leibniz, Pierce, Hume, and Heisenberg, rather than focusing on Hilbert's life and work.

divide 30/8 = 3.75

3.75 *2 = 7.5 cups

Answer: option A

Step-by-step explanation:

TO get the number of bags, we simply get the quotient, that is:

(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags

Since bags cannot be decimal, so it can only fill 2 bags. The left over is 0.4 or:

0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds

Answer:

2 bags filled, left over is 2/15 pounds of granola

Answer:  2 bags can be filled and [tex]\dfrac{2}{5}[/tex] pound of granola will be left over.

Step-by-step explanation:

Given : A large bag contains [tex]\dfrac{12}{15}[/tex] pound of granola.

The number of bags can be filled with [tex]\dfrac{1}{3}[/tex] pound of granola in each bag will be :-

[tex]\dfrac{12}{15}\div\dfrac{1}{3}\\\\=\dfrac{12}{15}\times\dfrac{3}{1}=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

Thus, the number of bags = 2

The amount  of granola left=[tex]\dfrac{2}{5}[/tex] pound

The total amount that Group B collected 177.66 pounds.

Given that, group A collected 15.49 pounds during week 1, 20.82 lb during week 2, and 22.91 pounds during week 3.

To add two decimal numbers, first check if they have the same number of digits to the right of the decimal point. If they don't, add zeros to the right of one of the numbers until they do. Then, write one number on top of the other, lining up the decimal points vertically.

Now, add the quantity of recycling material collected during three week.

That is, 15.49 + 20.82 + 22.91 = 59.22

Given that, group B collected three times as much as Group A.

So, 3 × 59.22 = 177.66

Therefore, the total amount that Group B collected 177.66 pounds.

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Answer: There are 7 parakeets and 3 canaries in each cage.

Step-by-step explanation:

Since we have given that

Number of parakeets = 42

Number of canaries = 18

According to question, he wants to use as few as cages as possible , but can only have one type of bird in each cage.

So, H.C.F. of 42 and 18 = 6

So, Number of cages would be 6.

Number of parakeets would be

[tex]\dfrac{42}{6}=7[/tex]

Number of canaries would be

[tex]\dfrac{18}{6}=3[/tex]

Hence, there are 7 parakeets and 3 canaries in each cage.

3 1/4             9 1/2

hope it helpedd

The order of numbers from least to greatest is -45, -2.5, -1.1, 0.8, 95.

The given set of number are 95, −2.5, −1.1, −45, 0.8.

Ascending order is a way to arrange numbers from smallest to largest.

Descending order is a way to arrange numbers from largest to smallest.

Arranging the numbers from least to greatest means writing the numbers in an ordered list according to their values. The smallest number should be written on the left, with the next smallest number written to its immediate right.

Now, -45<-2.5<-1.1<0.8<95

So, the order is -45, -2.5, -1.1, 0.8, 95

Therefore, the order of numbers from least to greatest is -45, -2.5, -1.1, 0.8, 95.

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The numbers in ascending order are: -45, -2.5, -1.1, 0.8, 95.

To order the numbers from least to greatest, you compare their values. Starting with the smallest number, you can arrange the numbers in ascending order.

The numbers in ascending order are: -45, -2.5, -1.1, 0.8, 95.

Answer:

The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.

Step-by-step explanation:

Endogeneity answers

The new total cost Sarah has to pay, including the 15% gratuity is $1690.07. This is calculated by adding her repair cost, shipping fee, and gratuity together.

The total cost that Sarah has to pay can be calculated by adding up the cost of computer repair, the cost of shipping, and the gratuity she wants to include. The cost of shipping is 2 percent of the total cost of computer repair, so it would be $1,444.50 * 0.02 = $28.89. The gratuity Sarah wants to pay is 15 percent of the total cost of the computer repair (excluding the cost of shipping) which is $1,444.50 * 0.15 = $216.68.

Adding all these together: $1444.50 (Cost of Repair) + $28.89 (Shipping) + $216.68 (Gratuity) gives us a total cost of $1690.07. This will be the new total cost Sarah has to pay.

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