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quester [9]
3 years ago
12

Five sisters - Alexandra, Emily, Lisa, Martha, and Laura decide to purchase a big screen TV as a birthday gift for their mother.

- Martha agrees to pay 20% of the cost -Emily gives $75 -Alexandra pays 25% of the cost -Laura gives $75 - Lisa contributes one-half of the cost. What is the total cost of the big screen Tv? What amount will each sister pay?
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

  • Total cost: $3000
  • Martha: $600
  • Emily: $75
  • Alexandra: $750
  • Laura: $75
  • Lisa: $1500

Step-by-step explanation:

The percentages add to 95%, so the dollar amounts (total $150) comprise 5% of the cost. Then the total cost is ...

  total cost × 5% = $150

  total cost = $150/0.05 = $3000

And the percentages are ...

  20% × $3000 = $600 (Martha's share)

  25% × $3000 = $750 (Alexandra's share)

  50% × $3000 = $1500 (Lisa's share)

_____

<em>Check</em>

$600 + 75 + 750 + 75 + 1500 = $3000 . . . as it should

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Which of the following correctly compares the uses of bar graphs versus pie charts? bar graphs show patterns in data with variab
saw5 [17]

Answer:

<h3><em>Bar graphs show data involved in distinct categories that do not overlap; whereas, pie charts show data as parts out of a whole (such as out of 100%).</em></h3>

Step-by-step explanation:

A bar graph, also called a bar chart, is used to present categorical variables, which involves rectangular bars with a correlation between a specific category and the frequency of them, this graphs can be also called histograms. It's used in statistics to describe a bunch a data, separating them in categories. This charts can be horizontal or vertical, and an important characteristics is that it's applied to represent discrete categories, that is, values expressed with whole numbers. (An example is attached).

On the other hand, pie charts, or circular charts, are used to indicate proportions from a whole part, like a pie or cake, you have a whole and 100% data and you divided into slices. For example, from the whole population in the U.S. we could divide it by ethnicity, parts from a whole, like show the image attached.

<h3>Therefore, based on each definition, the correct answer is:</h3>

<em>Bar graphs show data involved in distinct categories that do not overlap; whereas, pie charts show data as parts out of a whole (such as out of 100%).</em>

5 0
3 years ago
The teacher separated her class of twenty-eight students into two groups. One group has 4 more than twice as many students as th
wariber [46]
4+2x = x (x = student in smaller group)

4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group 
4 + 2(8) = 20 students in the larger group
8 0
3 years ago
Help please 10points
ikadub [295]

Answer:

Have you tried copying and pasting?

Step-by-step explanation:

ctrl c

ctrl v

6 0
3 years ago
Help me please if you can
makvit [3.9K]

Answer:

-2

Step-by-step explanation:

Add them up: -14

Divide by how many there are: -14 / 7 = -2

4 0
2 years ago
\large -\frac{2}{3}x+3=\frac{2}{3}x+\frac{1}{3}
german

Answer:

\boxed {x = 2}

Step-by-step explanation:

Solve for the value of x:

-\frac{2}{3}x + 3 = \frac{2}{3}x + \frac{1}{3}

-Take \frac{2}{3}x and subtract it from -\frac{2}{3}x:

-\frac{2}{3}x + 3 -\frac{2}{3}x = \frac{2}{3}x - \frac{2}{3}x + \frac{1}{3}

-\frac{4}{3}x + 3 = \frac{1}{3}

-Subtract both sides and convert 3 to a fraction:

-\frac{4}{3}x + 3 - 3 = \frac{1}{3} - 3

-\frac{4}{3}x  = \frac{1}{3} - \frac{9}{3}

Since both \frac{1}{3} and \frac{9}{3} have the same denominator, then you would subtract the numerator:

-\frac{4}{3}x  = \frac{1 - 9}{3}

-\frac{4}{3}x  = \frac{8}{3}

-Multiply both sides by -\frac{3}{4}, which is the reciprocal of -\frac{4}{3}:

x = \frac{8}{3} (-\frac{3}{4})

x = \frac{-8(-3)}{3 \times 4}

x = \frac{24}{12}

-Divide 24 by 12:

x = \frac{24}{12}

\boxed {x = 2}

So, therefore, the value of x is 2.

5 0
3 years ago
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