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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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bogdanovich [222]

Answer:

(A) - (5)

(B) - (4)

(C) - (1)

(D) - (2)

Step-by-step explanation:

(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]

(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.

(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).

(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.

(C) We are given the polynomial (x+3)(x−5)(x+2)²

(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.

(D) We are given the polynomial (x+2)²(x+1)²

(2)  The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)

8 0
3 years ago
The enrollment for a new program is 1,500 students. the program is expected to grow at a rate of 0.03. what is the expected enro
Hatshy [7]

The expected enrolment in 7 years is  1845.

<h3>What is the expected enrolment?
</h3>

The formula for calculating future value of the number of students is an exponential equation with this form:

FV = P (1 + r) ^n

  • FV = Future population
  • P = Present population
  • R = rate of growth of the population
  • N = number of years

1500 x (1.03)^7 = 1845

To learn more about future value, please check: brainly.com/question/18760477

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3 0
2 years ago
Is 144 a perfect square or not​
Rina8888 [55]

Answer: Yes

Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.

In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.

6 0
3 years ago
3 3/4 -1 3/14 in simpilist form
lakkis [162]

For this case we must simplify the following expression:

3 \frac {3} {4} -1 \frac {3} {14} =

To do this, we convert the mixed numbers to improper fractions:

\frac {4 * 3 + 3} {4} - \frac {14 * 1 + 3} {14} =\\\frac {15} {4} - \frac {17} {14} =\\\frac {14 * 15-4 * 17} {4 * 14} =\\\frac {210-68} {56} =\\\frac {142} {56} =\\\frac {71} {28} =\\2 \frac {15} {28}

Answer:

\frac {71} {28} = 2 \frac {15} {28}

6 0
3 years ago
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Lisa [10]

Answer:

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Step-by-step explanation:

-72 / 9 = -8

7 0
3 years ago
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