<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B2%7D%7B3x%7D" id="TexFormula1" title="\frac{1}{x}+\frac{2}{3

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tresset_1 [31]

3 years ago

x}" alt="\frac{1}{x}+\frac{2}{3x}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Setler79 [48]3 years ago

6 0

Answer:

5/3x

Step-by-step explanation:

1/x + 2/3x

LCM of ( x, 3x ) = 3x

1/x

= ( 1/x ) * ( 3/3 )

= ( 1 * 3 ) / ( x * 3 )

= 3/3x

1/x + 2/3x

= 3/3x + 2/3x

= ( 3 + 2 ) / 3x

= 5/3x

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Pilar and Ravi start at opposite ends of a 55-mile bike trail. They start riding their bikes toward each other at the same time.

Lynna [10]

Answer:

Ravi’s average speed is 7 miles per hour

Step-by-step explanation:

In this question, we are tasked with calculating what Ravi’s average speed was.

We must know that the term average speed is mathematically equal to Total distance/ Total time

We already have the time of 3 hours, what is needed is the distance.

From the question, we can see that they met at the point where Pilar had travelled 55 miles. What this means is that Ravi would have traveled (55-34) miles to this point since they are coming in opposite direction. This means that Ravi had traveled 21 miles

Thus his average speed is 21 miles/ 3 hours = 7 miles per hour

6 0

3 years ago

What is the slope intercept for that has the point (2,2) and is parallel to y=x+4?

gulaghasi [49]

The new line will have the same slope as the old one.
y = x + 4
y = x + b is the new line
We solve for b by using (2,2)
When x = 2
y = 2

2 = 2 + b
b = 0
Therefore the new line is
y = x

8 0

3 years ago

which of the following questions (multiple answers) are the square roots for 529? check all that applies please I've been stuck

mr Goodwill [35]

23 is one of the answers, and -23, because negative times negative is positive.

Hope this helps and have a nice day:)

4 0

3 years ago

The number of gallons of water in a large tank at time (t) minutes is given by the function W(t)=160,000-8,000t+t². Find the ave

sergij07 [2.7K]

The number of gallons of water in the tank at t=10 is

... W(10) = 160,000 -10(8000 -10) = 80100

The number of gallons of water in the tank at t=10.5 is

... W(10.5) = 160,000 -10.5(8000 -10.5) = 76110.25

The rate of change over the interval is

... (W(10.5) - W(10))/(10.5 - 10) = (76110.25 - 80100)/(0.5) = -7979.5

The average rate of change in the number of gallons of water in the tank over the interval is -7979.5 gal/min.

The sign is negative, so the amount of water is decreasing.

3 0

3 years ago

teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po

mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible top score is 21

The maximum possible top score is 32

The minimum of the possible standard deviation is approximately 1.26

The maximum of the possible standard deviation is approximately 11.7

The reason the above values are correct are as follows:

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is 21

The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is 32

The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ 1.26

The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ 11.7

Learn more about mean and median here:

brainly.com/question/17012793

8 0

2 years ago