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Lady_Fox [76]
3 years ago
14

When number can each term of the equation be multiplied by to eliminate the fractions before solving 6-3/4x+1/3=1/2x+5​

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:

12

Step-by-step explanation:

You need to find the least common denominator (LCD) to all the denominators of the fractions present in the equation. These denominators are (writing them in their prime factor form to make our calculations easier):

4=2^2\\3=3\\2=2

Therefore, we need to include a factor of 3, and two factors of 2 (2^2) in our least common denominator, so this LCD will be a perfectly divided by all three given denominators, therefore eliminating all fractions in the equation.

Our LCD is = 3*2^2=13*4=12

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3 years ago
You have made two of the exact same necklaces that cost you a total of $15 in supplies. You have chosen to mark up the price by
tatyana61 [14]

Answer:

A) The selling price for each necklaces is $8.625

B) The profit mark in each necklaces is 15%

Step-by-step explanation:

Given as :

The total cost of two necklaces = c.p = $15

The markup percentage for the necklaces = m = 15%

Let The selling price for both necklaces = s.p

A ) <u>Now, From markup method</u>

m% = \dfrac{s.p - c.p}{c.p}

or, 15% =  \dfrac{s.p - 15}{15}

or, 15% =  \dfrac{s.p}{15} - 1

or, \dfrac{s.p}{15} = 1 + 15%

or, \dfrac{s.p}{15} = 1 +  \dfrac{15}{100}

or, \dfrac{s.p}{15} =  \dfrac{100 + 15}{100}

or,  \dfrac{s.p}{15} =  \dfrac{115}{100}

∴ s.p = \frac{15\times 115}{100}

I.e s.p = $17.25

So, selling price of two necklaces = s.p = $17.25

or, selling price of one necklaces = s.p = \dfrac{17.25}{2} = $8.625

Hence, The selling price for each necklaces is $8.625

<u>Now, Again</u>

B) ∵ The total cost of two necklaces = c.p = $15

So, The cost price of one necklaces = \dfrac{15}{2} = $7.5

∴ profit% for each necklace =  \dfrac{s.p - c.p}{c.p}

i.e profit% for each necklace =  \dfrac{8.625 - 7.5}{7.5}

Or, profit% for each necklace =  \dfrac{1.125}{7.5}

Or, profit% for each necklace = 0.15

So, The profit make in each necklaces = 15%

Hence, The profit mark in each necklaces is 15%

Answer

8 0
3 years ago
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