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Leni [432]
4 years ago
7

Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then

determine how much Molly paid for each song?
Mathematics
1 answer:
Ghella [55]4 years ago
4 0

Answer:

Molly paid for each song $1.5

Step-by-step explanation:

Let

x ------> amount that Molly paid for each song

we know that

The amount that Molly paid for each song multiplied by 8 is equal to the gift card value

so

The linear equation that represent this problem is

8x=12

Solve for x

Divide by 8 both sides

x=12/8

x=\$1.5

Molly paid for each song $1.5

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Solve 4x + 1 = 3 – 2x
romanna [79]

Answer:

x = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 1 = 3 - 2x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2x on both sides:                    6x + 1 = 3
  2. Subtract 1 on both sides:                6x = 2
  3. Divide 6 on both sides:                   x = 1/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(1/3) + 1 = 3 - 2(1/3)
  2. Multiply:                        4/3 + 1 = 3 - 2/3
  3. Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

7 0
3 years ago
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48. A map is drawn to a scale of 1cm to represent 50km. If the actual distance between two villages is 480km, what is the distan
lana66690 [7]

Set up a ratio:

1/50 = x/480

Cross multiply:

50x = 480

Divide both sides by 50:

X = 9.6

The distance on the map is 9.6 cm

5 0
3 years ago
Write the equation of the line that is parallel to the y-axis and passes through the point (7,0)
Afina-wow [57]

The equation of the line is x = 7 which is parallel to the y-axis and passes through the point (7,0)

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

We have:

The line that is parallel to the y-axis and passes through the point (7,0)

As we know the line equation:

Parallel to the y-axis

x = c

Passes through the point (7,0)

x = 7

Thus, the equation of the line is x = 7 which is parallel to the y-axis and passes through the point (7,0)

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

8 0
2 years ago
(FASTEST AND BEST GETS BRAINLIEST)Josiah is shopping online and finds a great deal on chests of drawers. Josiah pays $27 for a c
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7*

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3 years ago
peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28
DIA [1.3K]
<h3>Answer:  8</h3>

=======================================================

Work Shown:

Let's say there are 28 cards in a full stack.

6/7 = 24/28 after multiplying top and bottom by 4

Since he has 24/28 of a stack left, this means he has 24 cards left.

He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.

So this must mean he will get 24/3 = 8 piles

(8 piles)*(3 cards per pile) = 8*3 = 24 cards total

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