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7nadin3 [17]
2 years ago
7

Madison and Tyler each wrote an expression that is equivalent to The expressions they created are shown in the table.

Mathematics
2 answers:
elixir [45]2 years ago
4 0

Answer: Tyler used the distributive property.


Step-by-step explanation:

For the expression: 14.1(19.8+7.6)

Madison wrote: 14.1(7.6+19.8) which is by commutative property of addition.

  • The commutative property of addition says that a+b=b+a, for a,b be any real number

Tyler wrote:14.1(7.6)+14.1(19.8) which is by distributive propery.

  • The distributive property says that a(b+c)=ab+ac, for a,b,c be any real numbers.

Hence, the last option is correct.

Inessa05 [86]2 years ago
4 0

Answer:

to shorten that up, the answer is D

Step-by-step explanation:

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FinnZ [79.3K]

Answer:

iii) a=3b/2

Step-by-step explanation:

7a-2b= 5a+b

7a-5a=2b+b

2a=3b

a=3b/2

8 0
2 years ago
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Give an example of a qualitative variable and an example of a quantitative variable (discrete or continuous.) Explain the common
galben [10]

Answer:

Example of qualitative variable: hair colour.

Example of discrete quantitative variable: age.

a) Qualitative data displays are pie charts, histograms

b) Quantitative data displays are scatter and line graphs.

Step-by-step explanation:

A qualitative variable expresses a non-numerical quality of an object or person. For example, hair colour (brown, blonde, red...) or eye colour (green, blue, brown...).

A quantitative variable is a numerical value. For example, temperature (100 K, 2000 K...) or age (12 years, 20 years...).

A discrete quantitative variable can be obtained by counting, like the number of cars in a road. This is plotted in scatter graphs. For continuous variable, it can be obtained by measuring, like the height of your family members. This is plotted in line graphs.

  • Pie charts: is a circular graphic that shows the statistics or number of people or objects with certain characteristics. For example, how many people have brown hair, how many are blonde and how many are redheaded.
  • Histograms: they show vertical bars associated with the qualitative variable in the x-axis and the number of objects or people with that characteristic in the y-axis.
  • Scatter: it is a graph with x and y axis and using Cartesian coordinates. Since it is for quatities, numbers can be represented as points.
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6 0
1 year ago
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Natalia is writing a recursive formula to represent the sequence 8,12,18,27 what value should she use as the common ratio in the
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Common ratio = second term / first term = 12 / 8 = 1.5
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2 years ago
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The builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days. Tax on building mate
erastova [34]

Answer:

$1340.49

Step-by-step explanation:

From the attached image

Subtotal Cost of Purchased Items

= (20  \times 16.69)+(2 \times 20.78)+(2  \times 15.58)+(6  \times 21.38)\\+(118  \times 6.60)+(500  \times 0.22)+(10  \times 8.44)+(1  \times 150)\\\\=\$1658

Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.

Discount = 23% of $1658 = 0.23 X 1658 =$381.34

Total (Less Discount) = 1658-381.34 = $1276.66

Tax on building materials is 5%.

Therefore:

Tax = 5% of $1276.66=0.05 X 1276.66

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Therefore, the total bill:

=$1276.66+63.83

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5 0
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George is saving for a mortgage on a $125,000 house. He needs 20 percent for a down payment. He currently has $22,000. How long
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