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11Alexandr11 [23.1K]
3 years ago
9

jade buys a blouse and a skirt for 3/4of thier original price jade pays a total of 31.50 for the two items if the original price

of the blouse is 18 what is the original price of the skirt write an equation to represent the situation and use the disributive property to solve show your work
Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer: the original price of the skirt is $24

Step-by-step explanation:

Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)

Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is

0.75(x + 18)

Applying the distributive property, it becomes

0.75x + 13.5

Jade pays a total of 31.50 for the two items. It means that

0.75x + 13.5 = 31.5

0.75x = 31.5 - 13.5

0.75x = 18

x = 18/0.75

x = $24

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Name a career that requires data-analysis skills. Describe how data analysis is used in this career. Be specific in your example
Viefleur [7K]

Answer: Find explanations below.

Step-by-step explanation:

1. A career as a Data Scientist would require data analysis skills.

2. The Data Scientist computes and analyzes large amounts of data from different sources and then makes useful interpretations with it. He needs skills In Statistics, Calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.

3. The median value is used when the data set contains values that repeat regularly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.

4. The dot plot is a simple scale representation of data values using dots to highlight the frequency of occurrences. I would use a dot plot to analyze quantitative data (like percentages, and decimals), and univariate data ( like mean, median, and mode).

The box plot analyzes a group of data in graphic styles. I would use it to determine the interquartile range, maximum, minimum, and median values. I would also use it to identify outliers.

5. Dot plot Strengths:

a. It is easy to plot the dots.

b. It is easy to interpret the data.

c. It shows the connection between the two data sets.

Dot Plot Weaknesses:

a. It shows the similarities between only two sequences.

b. The changes that occur between the data set cannot be easily detected.

c. It is time-consuming.

Box Plot Strengths:

a. Outliers are detected.

b. Indicates the 5-point summary.

c. It can compare more than two data set.

Box Plot Weaknesses:

a. Real values are lost.

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6. The Income of the population of adult women would have a negatively skewed distribution.

4 0
3 years ago
2/5 - 1/4 show your work
Natali [406]

2/5-1/4

8/20 - 5/20

(8-5)/20

= 3/20


I hope that's help ! if you have question please ask

6 0
3 years ago
Read 2 more answers
Figure ABCD - Figure EFGH
Colt1911 [192]
<h3><u>Answer:</u></h3>
  • 30.5 units
<h3><u>Step-by-step explanation:</u></h3>

We know that:

  • <u>Trapezoid ABCD has one side that is 25 unit. </u>
  • <u>The other 3 sides (AB, BC, and CD) are 12 units. </u>
  • <u>EF = 6 units</u>
  • <u>EH = 12.5</u>
  • <u>Trapezoid ABCD is congruent to Trapezoid EFGH</u>

<em>If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.</em>

<u>Work</u>

  • => 6(3) + 12.5
  • => 18 + 12.5
  • => <u>30.5 units</u>

Hence, the perimeter of EFGH is 30.5 units.

BrainiacUser1357

4 0
2 years ago
The letter of the word cosmology are randomly arranged in a line.
Ainat [17]

Answer:

1/3

Step-by-step explanation:

probability= no. of objects/no. of total number

= 3/9

=1/3

7 0
3 years ago
For her parents' anniversary party, Ellie is considering using one of two venues. A hotel in
kompoz [17]

The hotel is $250 plus $25 per person so the equation would be

y= 25x + 250

(Y is the total cost and x is the number of people)

the restaurant is $100 plus $40 per person so the equation would be

y = 40x + 100

What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:

25x + 250 = 40x + 100

and then solve...

1. subtract 100 from both sides

    25x + 150 = 40x

2. subtract 25x from both sides

    150 = 15 x

3. divide both sides by 15

    10 = x

you can check by plugging 10 into the original equations

25(10) + 250

250 + 250 = 500

and

40(10) + 100

400 + 100 = 500

they both cost $500 when you invite 10 people

6 0
3 years ago
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