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kondor19780726 [428]
3 years ago
10

A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchase

s 15 combs for a total of (15x-45) dollars. By how much is each comb discounted?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

$3

Step-by-step explanation:

Given that:

Price of each comb = $x

15 combs were purchased in = $(15x-45)

To find:

Amount of discount offered on each comb.

Solution:

First of all, let us calculate the price of 15 combs at the price of $x each.

Original Price of 15 combs = Price of one comb \times Number of combs = $15x

Now, there is some discount provided on the purchase of 15 combs.

Discount offered on 15 combs = Original price of 15 combs - Discounted price of 15 combs = 15x- (15x-45) = $45

Discount offered on each comb = Discount on 15 combs divided by 15

Discount offered on each comb = \frac{45}{15} = <em>$3</em>

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Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x     4 6 8 10

y     7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x     4   6   8   10

y     12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x     4   6   8   10

y     1    3    5    7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x     4   6   8   10

y     3   3   3    3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

8 0
2 years ago
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Ons: Practice
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Answer:

x = 18

Step-by-step explanation:

Given

\frac{x}{6} - 7 = -4

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\frac{x}{6} - 7 = -4

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\frac{x}{6} - 7+7 = -4+7

\frac{x}{6}  = -4+7

\frac{x}{6}  = 3

Multiply through by 6

6 * \frac{x}{6}  = 3 * 6

x = 3 * 6

x = 18

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If the sum of three consecutive integers is 36, what is the smallest of these integers?
DedPeter [7]
Let the three consecutive equals:
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3 years ago
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Answer:

1. -2\frac{9}{12}

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Step-by-step explanation:

1.

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2.

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