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gulaghasi [49]
3 years ago
11

An eight-month used stereo system was sold for $255.75. This was one third (1/3) the amount of what this system originally cost.

What was the original cost of this set?
Mathematics
1 answer:
Alex3 years ago
4 0
From the givens, we know that 1/3 of the original cost is $255.75

Assume that the original price of the stereo is y, therefore:
(1/3) y = 255.75
y = 3 x 255.75

The original price of the stereo is $767.25
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Statements
vazorg [7]

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

CBD = ABD

and

CBD + ABD = 90

Substitute CBD for ABD in CBD + ABD = 90

CBD + CBD = 90

2CBD = 90

Divide both sides by 2

\frac{2CBD}{2} = \frac{90}{2}

CBD = \frac{90}{2}

CBD = 45

Hence, it is proved that CBD = 45

<em>Follow the above explanation and use it to answer your question properly</em>

6 0
2 years ago
Jason recorded these temperatures one day:
kap26 [50]

Answer:

C. The afternoon temperature was 6 degrees above the night temperature.

Step-by-step explanation:

this is correct because the 6 is 6 more than 0.

8 0
2 years ago
Read 2 more answers
10ⁿ = 1 <br> a) n=1<br> b) n=0<br> c) n=2
s344n2d4d5 [400]

Step-by-step explanation:

n = 0

because,

p^0 = 1

10000000^0 = 1

6 0
2 years ago
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Let D = {x| x is a student} be the domain, and let ƒ(x) = “date of birth” be the possible function. Determine if the relation is
shusha [124]
A relation is a function if the value in its Domain does not occur more than once. This means each domain value is paired with exactly one value of range.

In the given scenario, the domain is the students (e.g name of a student) and the function returns the date of birth of the student. A student can have only one date of birth. So it is not possible that a value in Domain(i.e. a student) is paired with more than one date of births. 

Therefore, we can conclude that the given relation describes a function. 
5 0
3 years ago
Read 2 more answers
Solve the following quadratic by<br> completing the square.<br> y = x^2 - 6x+7
kozerog [31]

Answer:

x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}

Step-by-step explanation:

<u>Given quadratic equation</u>:

y = x^2 - 6x+7

To complete the square, begin by adding and subtracting the square of half the coefficient of the term in x:

\implies y = x^2 - 6x+\left(\dfrac{-6}{2}\right)^2-\left(\dfrac{-6}{2}\right)^2+7

\implies y = x^2 - 6x+\left(-3\right)^2-\left(-3\right)^2+7

\implies y = x^2 - 6x+9-9+7

Factor the perfect square trinomial:

\implies y=(x-3)^2-9+7

\implies y=(x-3)^2-2

To solve the quadratic, set it to zero and solve for x:

\implies (x-3)^2-2=0

\implies (x-3)^2-2+2=0+2

\implies (x-3)^2=2

\implies \sqrt{(x-3)^2}=\sqrt{2}

\implies x-3= \pm\sqrt{2}

\implies x-3+3= 3\pm\sqrt{2}

\implies x= 3\pm\sqrt{2}

Therefore, the solution to the given quadratic equation is:

x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}

6 0
1 year ago
Read 2 more answers
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