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ElenaW [278]
2 years ago
9

rove the following statement directly from the definition of rational number. The difference of any two rational numbers is a ra

tional number. Proof: Suppose r and s are any two rational numbers. By definition of rational, r = a b and s = c d for some ---Select--- a, b, c, and d with ---Select--- . Write r − s in terms of a, b, c, and d as a quotient of two integers whose numerator and denominator are simplified as much as possible. The result is the following. r − s = Both the numerator and the denominator are integers because ---Select--- . In addition, bd ≠ 0 by the ---Select--- . Hence r − s is a ---Select--- of two integers with a nonzero denominator, and so by definition of rational, r − s is rational.

Mathematics
1 answer:
Umnica [9.8K]2 years ago
7 0

Answer:

Step-by-step explanation:

Question:

Prove the following statement directly from the definitions.

The difference of any two rational numbers is a rational number.

Answer, see attachment for proof.

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What is the median of these numbers 2.4,2.8,2.3,2.9,2.9
liberstina [14]

Answer:

2.8

Step-by-step explanation:

x2.3, x2.4, 2.8, x2.9, x2.9

4 0
1 year ago
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwitho
Nitella [24]

Answer: The greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Step-by-step explanation:

Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.

To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4

The number of pieces of chicken in each plate = \dfrac{12}{4}=3

The number of pieces of rolls in each plate = \dfrac{16}{4}=4

So,  the greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

7 0
2 years ago
An epidemiologic survey of roller-skating injuries in Metroville, a city with a population of 100,000 (during the midpoint of th
Ahat [919]

Answer: c. \dfrac{90}{1800}\times100\%

Step-by-step explanation:

As per given , we have

Total number of residents injured from roller-skating =1,800

Total number of deaths from roller-skating = 90

Formula for Mortality rate : Mortaility\ rate= \dfrac{Deaths\ due \ to\ injury}{Tota\ injuries}

Then, the proportional mortality ratio (%) due to roller-skating was

=\dfrac{90}{1800}\times100\%

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Hence, the correct answer is c.\dfrac{90}{1800}\times100\%

8 0
2 years ago
Mr.Walden wrote the expression. He asked his students to write an equivalent expression of simplified form.
mafiozo [28]

Answer:

option D

Brianna

Step-by-step explanation:

Given in the question the expression wrote by Mr.Walden

\frac{p^{-5} }{q^{0} }

To write the simplified form of this expression we will use negative rule of exponent

b^{-n}= 1 / b^{n}

q^{-5} = \frac{1}{q^{5} }

so,

\frac{1}{q^{5} x q^{0} }

\frac{1}{q^{5} p^{0} }

Only Brianna wrote right simplification of the expression written by Mr.Walden

3 0
2 years ago
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