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Shtirlitz [24]
3 years ago
9

Which of the following correctly describes the sum of two rational numbers?

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

"The sum of two rational numbers is rational."  

By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

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When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a
irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

6 0
3 years ago
A plumber pays $3.60 for 60 centimeters of pipe.Explain how the plumber can use unit cost of the pipe to find the cost of buying
kvv77 [185]
3.60 / 60cm = .06/cm or 6 cents per centimeter
100cm = 1m
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100m = 100 * $6.00
= $600
5 0
3 years ago
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Given parallelogram ABCD, find the lengths and angles required.
irakobra [83]

Answer:

x = 3, line AB = 17 ,  and line CD = 17

y = 10, angle A = 70, and angle D = 70

Step-by-step explanation:

well since their the same length you can put them equal to each otheir

5x + 2 = 8x - 7

subtract 5x by both sides to get --> 2 = 3x -7

add 7 to both sides and get --> 9 = 3x

divide 3 by both sides to get x = 3

now plug it back in each equation we started with and get you answers

Same steps for y but different equations

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The cost price of a article is Rs.300/=. It is sold with 15% profit find the selling price of the article.
jek_recluse [69]

Answer:

sp=100+gain%/100*cp

100+15%/100*300

300*15=inr4500

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3 0
3 years ago
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The number of 7th graders attending Middle field Science Academy this year is 130% of last year’s total. If 500 7th graders atte
podryga [215]

Answer:

B. (100)(5)=500 C.(130)(5)=650 D.130/100= 650/500 E. There are 650 7th graders this year

Step-by-step explanation:

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