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Masja [62]
3 years ago
7

Write four and five-eighths as an improper fraction and as a mixed number. I NEED HALP!

Mathematics
2 answers:
Hatshy [7]3 years ago
6 0
4 5/8 is a mixed number
((4*8)+5)/8
(32+5)/8
37/8 is an improper fraction.

Hope this helps :)
Anettt [7]3 years ago
3 0
4 5/8 mixed number
37/8 improper fraction
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If the mean of 4,6,4,7,(x+1),8 and 2 is 5 ,find the median​
Rainbow [258]
<h3>Answer:  Median = 4</h3>

===========================================================

Explanation:

The mean is found by adding up all of the values and dividing by n, where n is the number of values in the set.

In this case, we have n = 7 values here. We count (x+1) as well since x is a placeholder for a number, which makes (x+1) also a placeholder in a sense.

As for what replaces x, we're not sure yet but we can use algebra to solve.

Lets add up all of the values given except for the "5" at the end. That 5 is the mean which is not part of the data set.

Adding up those values mentioned gives:

4+6+4+7+(x+1)+8+2 = x+32

Then divide this over n = 7 to get the mean 5

(x+32)/n = mean

(x+32)/7 = 5

-----------------------------

Let's isolate x

(x+32)/7 = 5

x+32 = 7*5

x+32 = 35

x = 35-32

x = 3

If x = 3, then x+1 = 3+1 = 4

So the (x+1) is being a placeholder for the number 4.

In other words, we'll replace the (x+1) with 4.

The data set of

4,6,4,7,(x+1),8,2

updates to

4,6,4,7,4,8,2

-----------------------------

We'll get to the median in a moment, but first we need to check if we have the correct replacement for (x+1)

Add up the values in the set {4,6,4,7,4,8,2}

Doing so leads to: 4+6+4+7+4+8+2 = 35

Then divide by n = 7 to compute the mean: 35/n = 35/7 = 5

We get the mean is 5 which matches with the instructions. So we have the correct replacement for the (x+1). We can now find the median.

------------------------------

To find the median of any data set, we need to make sure the numbers are in order from smallest to largest.

Right now {4,6,4,7,4,8,2} is not sorted, but we can sort the items to get {2,4,4,4,6,7,8}

The median is at the exact middle. In this set, the median is that third copy of '4'. Note how "2,4,4" is to the left of the median while "6,7,8" is to the right of the median. There is the same number of values on either side of the median to show things are balanced and we are at the center point.

As an alternative, you can cross off each pair of outer values one at a time until you steadily arrive at the midpoint, which again is that third copy of '4'.

So that's why the median is 4.

8 0
2 years ago
PLEASE HELP ASAP Hi! Please help me guys!!! This is difficult for me.. :c ~Why might a solution to an inequality not be reasonab
abruzzese [7]

Answer:

When the solution is negative

Step-by-step explanation:

One example, let's say you are buying pens and each pen cost 3 dollars and you cannot spend more than 15 dollars, how many pens can you buy?

The inequality would be 3x < 15, so any negative solution is not reasonable because you cannot buy negative pens. The same goes for most real-world problems dealing with time, money, or distance.  

8 0
3 years ago
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
Oksi-84 [34.3K]
3/3...............................
8 0
2 years ago
Nine times the sum of a number and 26 is at most -25
kobusy [5.1K]

Answer:

x ≤  -259/9

Step-by-step explanation:

Change into a number equation   9(x + 26) ≤ -25

3 0
2 years ago
What is 4(5a+b)−9a+3 Simplified
tatyana61 [14]
20a + 4b - 9a + 3 = 11a + 4b + 3
5 0
2 years ago
Read 2 more answers
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