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horsena [70]
4 years ago
15

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and - white models each selling at $119.

The rest were color sets at $319 each. The sale brought in $10,360. How many color sets were sold?
Mathematics
1 answer:
Harman [31]4 years ago
8 0

Answer: 28 color sets were sold

Step-by-step explanation:

Let x represent the number of black-and - white models that were sold.

Let y represent the number of color sets that were sold.

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and - white models while the rest were color sets.. It means that

x + y = 40

Black-and - white models each sold for $119. Color sets sold at $319each. The sale brought in $10,360. It means that

119x + 319y = 10360 - - - - - -- - - - - -1

Substituting x = 40 - y into equation 1, it becomes

119(40 - y) + 319y = 10360

4760 - 119y + 319y = 10360

- 119y + 319y = 10360 - 4760

200y = 5600

y = 5600/200

y = 28

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What is the area of the cross section if the length is 12 cm and the width is 10 cm?
VARVARA [1.3K]

Answer:

120 cm²

Step-by-step explanation:

From the question;

  • Length is 12 cm
  • Width is 10 cm

We are required  to determine the area of the cross section;

  • Note that the cross section is the plane of a solid that remains constant through the solid.
  • In this case, the cross section is a rectangle whose dimensions are 12 cm by 10 cm.

But Area of a rectangle = Length × Width

Therefore;

Area of cross section = 12 cm × 10 cm

                                   = 120 cm²

Thus, area of the cross section is 120 cm²

6 0
4 years ago
In a study of speed​ dating, female subjects were asked to rate the attractiveness of their male​ dates, and a sample of the res
Blizzard [7]

Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015,  standard deviation = 2.8812

B)  The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

              = 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

                   = 207.5385/26−1   ≈ 8.3015

iii) standard deviation = \sqrt{variance}

                                    = \sqrt{8.3015} = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

     

5 0
3 years ago
Help me to answer now ineed this <br> Please...
Vera_Pavlovna [14]
ANSWER TO QUESTION 1

\frac{\frac{y^2-4}{x^2-9}} {\frac{y-2}{x+3}}

Let us change middle bar to division sign.

\frac{y^2-4}{x^2-9}\div \frac{y-2}{x+3}

We now multiply with the reciprocal of the second fraction

\frac{y^2-4}{x^2-9}\times \frac{x+3}{y-2}

We factor the first fraction using difference of two squares.

\frac{(y-2)(y+2)}{(x-3)(x+3)}\times \frac{x+3}{y-2}

We cancel common factors.

\frac{(y+2)}{(x-3)}\times \frac{1}{1}

This simplifies to

\frac{(y+2)}{(x-3)}

ANSWER TO QUESTION 2

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

We change the middle bar to the division sign

(1+\frac{1}{x}) \div (\frac{2}{x+3}-\frac{1}{x+2})

We collect LCM to obtain

(\frac{x+1}{x})\div \frac{2(x+2)-1(x+3)}{(x+3)(x+2)}

We expand and simplify to obtain,

(\frac{x+1}{x})\div \frac{2x+4-x-3}{(x+3)(x+2)}

(\frac{x+1}{x})\div \frac{x+1}{(x+3)(x+2)}

We now multiply with the reciprocal,

(\frac{(x+1)}{x})\times \frac{(x+2)(x+3)}{(x+1)}

We cancel out common factors to  obtain;

(\frac{1}{x})\times \frac{(x+2)(x+3)}{1}

This simplifies to;

\frac{(x+2)(x+3)}{x}

ANSWER TO QUESTION 3

\frac{\frac{a-b}{a+b}} {\frac{a+b}{a-b}}

We rewrite the above expression to obtain;

\frac{a-b}{a+b}\div {\frac{a+b}{a-b}}

We now multiply by the reciprocal,

\frac{a-b}{a+b}\times {\frac{a-b}{a+b}}

We multiply out to get,

\frac{(a-b)^2}{(a+b)^2}

ANSWER T0 QUESTION 4

To solve the equation,

\frac{m}{m+1} +\frac{5}{m-1} =1

We multiply through by the LCM of (m+1)(m-1)

(m+1)(m-1) \times \frac{m}{m+1} + (m+1)(m-1) \times \frac{5}{m-1} =(m+1)(m-1) \times 1

This gives us,

(m-1) \times m + (m+1) \times 5}=(m+1)(m-1)

m^2-m+ 5m+5=m^2-1

This simplifies to;

4m-5=-1

4m=-1-5

4m=-6

\Rightarrow m=-\frac{6}{4}

\Rightarrow m=-\frac{3}{2}

ANSWER TO QUESTION 5

\frac{3}{5x}+ \frac{7}{2x}=1

We multiply through with the LCM  of 10x

10x \times \frac{3}{5x}+10x \times \frac{7}{2x}=10x \times1

We simplify to get,

2 \times 3+5 \times 7=10x

6+35=10x

41=10x

x=\frac{41}{10}

x=4\frac{1}{10}

Method 1: Simplifying the expression as it is.

\frac{\frac{3}{4}+\frac{1}{5}}{\frac{5}{8}+\frac{3}{10}}

We find the LCM of the fractions in the numerator and those in the denominator separately.

\frac{\frac{5\times 3+ 4\times 1}{20}}{\frac{(5\times 5+3\times 4)}{40}}

We simplify further to get,

\frac{\frac{15+ 4}{20}}{\frac{25+12}{40}}

\frac{\frac{19}{20}}{\frac{37}{40}}

With this method numerator divides(cancels) numerator and denominator divides (cancels) denominator

\frac{\frac{19}{1}}{\frac{37}{2}}

Also, a denominator in the denominator multiplies a numerator in the numerator of the original fraction while a numerator in the denominator multiplies a denominator in the numerator of the original fraction.

That is;

\frac{19\times 2}{1\times 37}

This simplifies to

\frac{38}{37}

Method 2: Changing the middle bar to a normal division sign.

(\frac{3}{4}+\frac{1}{5})\div (\frac{5}{8}+\frac{3}{10})

We find the LCM of the fractions in the numerator and those in the denominator separately.

(\frac{5\times 3+ 4\times 1}{20})\div (\frac{(5\times 5+3\times 4)}{40})

We simplify further to get,

(\frac{15+ 4}{20})\div (\frac{(25+12)}{40})

\frac{19}{20}\div \frac{(37)}{40}

We now multiply by the reciprocal,

\frac{19}{20}\times \frac{40}{37}

\frac{19}{1}\times \frac{2}{37}

\frac{38}{37}
5 0
3 years ago
What are the factors of the square root of 329
Andru [333]

Answer: x=-\dfrac{3}{2}, 7

Step-by-step explanation:

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2x^2-10x-26-x+5=0  Move all terms to one side

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x(2x+3)-7(2x+3)=0  Factor out common terms in the first two terms, then in the last two terms.

(2x+3)(x-7)=0 Factor out the common term 2x+3

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Step-by-step explanation:

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