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vladimir1956 [14]
3 years ago
12

25 POINTS!

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
-\dfrac12x+3=-x+7

Add -3 to both sides:

-\dfrac12x+3-3=-x+7-3
-\dfrac12x=-x+4

Multiply both sides by -2:

-2\times\left(-\dfrac12\right)x=-2(-x+4)
x=-2(-x+4)

On the right hand side, distribute the -2:

x=2x-8

Add -2x to both sides:

x-2x=2x-2x-8
-x=-8

Divide by -1:

\dfrac{-x}{-1}=\dfrac{-8}{-1}
x=8

(and not x=-8, unless the original equation wasn't correctly written/interpreted?)
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Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t
morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = \dfrac{s.p - c.p}{c.p}

I.e 40% =  \dfrac{s.p - 18.10}{18.10}

Or, \dfrac{40}{100} + 1 = \dfrac{s.p}{18.10}

Or, \dfrac{140}{100} =  \dfrac{s.p}{18.10}

Or, s. p = \dfrac{140\times 18.10}{100}

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = \dfrac{\textrm estimated cost}{\textrm estimated total base unit}

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = \dfrac{\textrm profit}{\textrm estimated cost}

I.e The profit rate% = \dfrac{21.29}{4.05}

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41  Answer

4 0
3 years ago
Find the value of the expression ​
Karolina [17]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Arithmetic Operation.

====> 5(3+6) + 5*3/ 5(4-1)

=====> 5(9) + 15 / 5(3)

=====> 45+15 / 15

=====> 60/15

======> 4

answer is 4

4 0
3 years ago
Find the factors of -8 that add to -7
Vedmedyk [2.9K]

Answer:

1 and -8

Step-by-step explanation:

1 + (-8) = 1 - 8 = -7

3 0
3 years ago
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. At week 12, how much money will Sam have
PolarNik [594]

Answer:

$50 + ($30 x 12) = $410

Step-by-step explanation:

8 0
3 years ago
Write a multiplication expression that can be used to solve 2/3a = 30.
Tresset [83]
<h3>Answer:</h3>

a=45

<h3>Solution:</h3>
  • We need to multiply both sides by 3 in order to get rid of the denominator, 3:
  • 2/3a•3=30•3
  • 2a=90
  • Divide both sides by 2:
  • a=45

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
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