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Phantasy [73]
2 years ago
11

List the integers satisfy the inequality -1 less than 2x - 5 less or equal to 5​

Mathematics
1 answer:
Ilya [14]2 years ago
4 0

Answer:

integers are { 3 , 4 , 5 }

Step-by-step explanation:

- 1 < 2x - 5 ≤ 5

- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5                           [ adding by 5 ]

4 < 2x + 0 ≤ 10

4 < 2x ≤ 10

2 < x ≤ 5                                                     { divide by 2 ]

Therefore, integers are { 3 , 4 , 5 }

You might be interested in
Melissa is 29 meters below the surface. After swimming 12 minutes she rises upward 15 meters. What is her final depth?
pav-90 [236]

Answer:

The final depth of Melissa is 14 meters below the surface

Step-by-step explanation:

In this kind of problems, involving directions, etc, usually one position is the positive direction and the other position is the negative direction.

In our problem, we suppose that the surface is the positivo zero, above the surface is the positive position(positive depth) and below the surface is the negative directions(negative depth).

The problem states that Melissa is 29 meters below the surface. So, her initial position is 29 meters in the negative direction, so it is equal to -29.

Then, the problem states that Melissa rises upward 15 meters. Upward is the positive direction, so she moved to the positive direction. It means that we are going to do -29+15 = -14 meters.

It means that the final depth of Melissa is 14 meters below the surface

6 0
3 years ago
G(x) = 4x−8, find g(1/2)
zhannawk [14.2K]

g(x) = 4x−8, find g(1/2)

Replace x with 1/2 and solve.

4(1/2) - 8

= 2 - 8

= -6

The answer is -6

4 0
3 years ago
Read 2 more answers
You have a balance of $4,600 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40.
MariettaO [177]

Answer:

$86

Step-by-step explanation:

first you gotta find the interest

4,600 * 1% = 46

so the interest is $46

then you add the interest and late fees together to get the payment for the month

46 + 40 = $86

your total cost is $86

7 0
2 years ago
There are two similar purses. The blue purse has a volume of 837 cm? and the red purse has a volume of 248 cm3, If the width of
Sunny_sXe [5.5K]

The width of the blue purse that is similar to the red purse is approximately 50.6 cm.

<h3>How to Determine the Linear Measurement and Volume of Similar Solids?</h3>

If two solids, A and B, has a linear measure a and b respectively, and they are both similar to each other, the ratio of their volumes and their linear measures would be expressed as:

Volume of solid A/volume of solid B = a³/b³.

We are given two purses that are similar to each other:

Volume of Blue purse = 837 cm³

Volume of Red purse = 248 cm³

Width of Red purse = 15 cm

Let width of Blue purse be = x

Therefore we would have the following ratio:

Volume of blue purse/volume of red purse = (width of blue purse)³/(width of red purse)³

Plug in the values

837/248 = x/15

Cross multiply

(248)(x) = (837)(15)

248x = 112,555

Divide both sides by 248

248x/248 = 112,555/248

x = 50.6 cm

The width of the blue purse is approximately 50.6 cm.

Learn more about volume of similar solids on:

brainly.com/question/16599646

#SPJ1

3 0
1 year ago
Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given questions.
musickatia [10]

Answer:

a) Mean = $1,595.83

b) Median = $1,675

c) Mode = $1,950

d) Midrange = $1,475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Step-by-step explanation:

The data set for selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine.

1850   1950   1600   1950   1650   1000   1950   1400   1000   1700   1950   1150

a) Mean

The mean is the sum of all the variables in the distribution divided by the number of variables.

Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12

= (19,150/12) = $1,595.83

b) Median

The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.

Arranging this dataset

1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950   

The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700

Median = (1650+1700)/2 = $1,675

c) Mode

The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.

Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950

d) Midrange

The midrange is given mathematically as

Midrange = [(Highest variable) + (lowest variable)] ÷ 2

Highest variable = 1950

Lowest variable = 1000

Midrange = (1950+1000)/2 = $1475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Hope this Helps!!!

4 0
2 years ago
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