All categories

3 years ago

Where would you put 2 1/8th on a number line?

Mathematics

1 answer:

dangina [55]3 years ago

5 0

Answer:

See diagram and explanation

Step-by-step explanation:

A number on the right is greater than a number on the left on the number line.

Mark numbers 2 and 3 on number line (number 3 is to the right from number 2, because 3 > 2).

Divide the unit segment between numbers 2 and 3 into 8 equal parts (this segment is the unit segment because the distance between 3 and 2 is 1).

Each such part represents $\frac{1}{8}$ of the segment.

Mark the number $2\dfrac{1}{8}$ next to the right from 2 (you have to take 2 and 1/8).

You might be interested in

A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate o

astraxan [27]

Answer:

The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.

Step-by-step explanation:

Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:

Against the wind

$v -u = \frac{\Delta x_{1}}{\Delta t_{1}}$

With the wind

$v +u = \frac{\Delta x_{2}}{\Delta t_{2}}$

Where:

$v$ - Speed of the jet in still air, measured in miles per hour.

$u$ - Speed of wind, measured in miles per hour.

$\Delta x_{1}$ , $\Delta x_{2}$ - Distances travelled by jet against the wind and with the wind, measured in miles.

$\Delta t_{1}$ , $\Delta t_{2}$ - Times against the wind and with the wind, measured in hours.

By adding both expressions:

$2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}$

$v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)$

Given that $\Delta x_{1} = 2301\,mi$ , $\Delta t_{1} = 3\,h$ , $\Delta x_{2} = 2811\,mi$ and $\Delta t_{2} = 3\,h$ , the speed of the jet is:

$v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)$

$v = 852\,\frac{mi}{h}$

The rate of the jet in still air is 852 miles per hour.

Lastly, the rate of the wind is:

$u = \frac{\Delta x_{2}}{\Delta t_{2}}-v$

$u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}$

$u = 85\,\frac{mi}{h}$

The rate of the wind is 85 miles per hour.

5 0

3 years ago

Help on these three questions social security is 6.2% and Medicare is 1.45%

Anna11 [10]

1st one i see is b
2nd is a
3rd is b

7 0

3 years ago

Subtract and simplify:. . (2x2 + 5x – 4) – (3x2 – 7x + 1). . A.. –x2 + 12x – 5. . B.. –x2 – 2x – 3. . C.. 5x2 – 2x – 3. . D.. x2

Nataliya [291]

The correct answer is a

6 0

4 years ago

What is the mean absolute deviation of the data set?

Ronch [10]

Answer:

the mean absolute deviation of the data set is 2.

Step-by-step explanation:

To calculate the mean absolute deviation of a data set, we need to follow the following steps:

Step 1: Calculate the mean.

Step 2: Calculate how far away each data point is from the mean (always keeping a possitive distance).

Step 3: Calculate the mean of the deviations.

Step 1: The mean of the data set is:

Mean = (12 + 10 + 10 + 8 + 6+ 7 + 7 + 12)/8 = 72/8 = 9

Step 2:

{12 -9, 10-9, 10-9, 9-8, 9-6, 9-7, 9-7, 12-9} = {3, 1, 1, 1, 3, 2, 2, 3}

Step 3: (3 + 1 + 1 + 1 + 3 + 2 + 2 + 3)/8 = 2

In conclusion, the mean absolute deviation of the data set is 2. Which corresponds to the option B.

5 0

3 years ago

Write a rule for the function represented by the graph.

lord [1]

For the 1st one i believe its Y=6

And the second one is Y=1

7 0

3 years ago