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egoroff_w [7]
2 years ago
5

You spend $30.40 on 4 cds. each cd costs the same amount and is on sale for 80% of the original price. write and solve an equati

on to find out how much you spend on each cd
Mathematics
1 answer:
Ratling [72]2 years ago
8 0

The original price of a CD is $9.50. However, since they are 80% off, you spend $7.60 on each CD.

Steps to translate the given word problem to a linear equation.

  1. Read carefully the problem
  2. Find out what value is given, what is required, and what is asked to find.
  3. Use variables to represent the unknowns. A variable is usually represented by a letter such as x, p, m, and so on.
  4. Translate the problem into equations.
  5. Solve the equations using elimination, substitution, or graph method.

In the given problem, let p be the original price of each CD.

The CD is on sale for 80%, therefore, $30.40 is the total money spent for 4 discounted CDs.

We can represent this as:

    4 x (80% x p) = 30.40

     4 (0.8p) = 30.40

      3.2 p = 30.40

            p = 9.50

Hence, the original price of a CD is $9.50. However, since they are 80% off, you spend = 0.8 x $9.50 = $7.60 on each CD

Read more about translating a word problem into an equation here:

brainly.com/question/13818690

#SPJ4

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Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-17900=\frac{20300-17900}{4-1}(x-1)

y-17900=\frac{2400}{3}(x-1)

y-17900=800(x-1)

y-17900=800x-800

Add 17900 on both sides.

y=800x-800+17900

y=800x+17100

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

30700=800x+17100

Subtract 17100 from both sides.

30700-17100=800x

13600=800x

Divide both sides by 800.

\frac{13600}{800}=x

17=x

Therefore, in 17th year his income was $30,700.

5 0
3 years ago
Two sides of a triangle are 8cm and 12cm. Which of the following CANNOT be the measure of the third side,
blondinia [14]

Answer:

4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.

Answer=8

Step-by-step explanation:

7 0
4 years ago
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Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG
Naddika [18.5K]

Answer:

The correct answer is 3/8

Step-by-step explanation:

It was in my practice and I had gotten it correct.

4 0
3 years ago
What number between 30 and 40 has only one and itself as factors?
ANEK [815]
The numbers between 30 and 40 whose only factors are one and themselves, also called prime numbers, are 31 and 37.<span> Prime numbers are useful in generating numerical passwords or codes that are difficult to crack. so A) is the answer
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8 0
3 years ago
An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio
Art [367]

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

                Each ride = $0.50

Option 2 . Admission fee = $6

                Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x  ---1

Cost of ride according to option 2 = 0.75x  

So, total cost after having x rides according to option 2 :

= 6+0.75x  --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

10+0.50x=6+ 0.75x

10-6= 0.75x-0.50x

4= 0.25x

\frac{4}{0.25} =x

16=x

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

5 0
3 years ago
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