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inysia [295]
3 years ago
5

A store has a 40\%40%40, percent off sale on headphones. With this discount, the price of one pair of headphones is \$36$36dolla

r sign, 36. What is the original price of the pair of headphones?
Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0
Let 
X=<span>the original price of the pair of headphones
then 
if the % </span>off sale is 40--------------- > (1-0.40)*X=<span>$36
x=36/0.60=60

the answer is 
</span>the original price of the pair of headphones was $60
vlabodo [156]3 years ago
3 0

Let x be the original price of headphones.

Since there is 40% off, the price after discount will be 60% of x. So we can set this information as:

60 \text { percent of x} =36

\frac{60}{100} \cdot x=36

x=36\cdot\frac{100}{60}

x=36\cdot\frac{10}{6}

x=6\cdot10=60

Therefore, original price of headphones is $60.

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determine if the sequence is geometric if it is find the common ratio the 8th term and the explicit formula can someone check my
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Answer:

You can check the answer by yourself after seeing the below answer.

Step-by-step explanation:

A sequence is geometric only if has common ratio i.e. r=\frac{a2}{a1} =\frac{a3}{a2} whiere a1,a2 and a3 are first,second and third term of the sequence respectively.

1) Common ratio r=\frac{-18}{-3}=\frac{-108}{-18}=6\\

 Explicit formula a_{n} =a_{1} .r^{n-1}

Now using the above formula, we can find 8^{th} term=-3*(6)^{8-1} =-3*6^{7}=-839808.

2) Here

\frac{a2}{a1}\neq \frac{a3}{a2}\\\frac{-2}{-4}\neq \frac{1}{-2}\\\frac{1}{2}\neq\frac{1}{-2} so this is not geometric sequence so no need to proceed further.

3) Common ratio r=\frac{15}{-3}=\frac{-75}{15}=-5\\

 Explicit formula a_{n} =a_{1} .(-5)^{n-1}

Now using the above formula, we can find 8^{th} term=-3*(-5)^{8-1} =-3*(-5)^{7}=234375.

4) Common ratio r=\frac{-6}{1}=\frac{36}{-6}=-6\\

 Explicit formula a_{n} =a_{1} .(-6)^{n-1}

Now using the above formula, we can find 8^{th} term=1*(-6)^{8-1} =1*(-6)^{7}=-279936.

5)Common ratio r=\frac{-8}{4}=\frac{16}{-8}=-2\\

 Explicit formula a_{n} =a_{1} .(-2)^{n-1}

Now using the above formula, we can find 8^{th} term=4*(-2)^{8-1} =4*(-2)^{7}=-512.

6)Common ratio r=\frac{-8}{-2}=\frac{-32}{-8}=4\\

 Explicit formula a_{n} =a_{1} .(4)^{n-1}

Now using the above formula, we can find 8^{th} term=-2*(4)^{8-1} =-2*(4)^{7}=-32768.






3 0
3 years ago
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TEA [102]
The two triangles formed will be ADB and BCD

Hope this helps :)
8 0
3 years ago
Multiply.<br><br><br> −3.6(−5.4)(3)
Ratling [72]

Answer:

-3.6(-5.4)(3)

=58.32

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7 0
3 years ago
Read 2 more answers
What is the area of triangle ABC?
miskamm [114]

Answer:

<h2>7 square units</h2>

Step-by-step explanation:

As you can observe in the image attached, we know the coordinates of each vertex of the triangle.

To find the area using only its vertex coordinates, we need to use the following formula

A=\frac{1}{2}[x_{1}(y_{2} -y_{3}+x_{2}(y_{3} -y_{1} )+x_{3}(y_{1}-y_{2}  )   )

Where the coordinates are

A(1,1)\\B(4,0)\\C(3,5)

Replacing coordinates, we have

A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0  )  ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7

Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.

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