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Reptile [31]
3 years ago
15

Solve for q. 5q + 2p + 4 = 3q – 8​

Mathematics
2 answers:
Sergio039 [100]3 years ago
7 0

q =  - p - 6

5q + 2p + 4 - 3q =  - 8 \\ 2q + 2p + 4 =  - 8 \\ 2q + 4 =  - 8 - 2p \\ 2q =  - 8 - 2p - 4 \\ 2q =  - 12  -  2p \\  \frac{2q}{2}  =  \frac{ - 2p - 12}{2}  \\ q =  \frac{ - 2p - 12}{2}  \\ q =  - p - 6

bulgar [2K]3 years ago
5 0

Answer:

q = -p-6

Step-by-step explanation:

=> 5q+2p+4 = 3q-8

(Combining like terms)

=>5q-3q = -2p-8-4

=> 2q = -2p -12

=> 2q = 2(-p-6)

Dividing both sides by 2

=> q = -p-6

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Expreess 3.81 as a mixed number
Luba_88 [7]

Answer:

3.81 = 3 81/100

Step-by-step explanation:

This can’t be simplified so it stays as 3 \frac{81}{100}

8 0
3 years ago
Worth 20 points
bezimeni [28]

Answer:

1. 1/8 ÷ 3/4 = 1/6

2. 3/5 ÷ 3/2 = 2/5

3. 4/1 ÷ 2/3 = 6

4.9/4 ÷ 6/5 = 15/8

5.22/4 ÷ 2/5 = 261/80

Step-by-step explanation:

Hope this Helped

5 0
2 years ago
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 X.............​
Mrrafil [7]
Your answer is x = 78! Hope this helps!
3 0
3 years ago
Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin
jonny [76]

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

<span>                                                       2x + y = 92</span>

The value of y in terms of x is equal to,

<span>                                            y = 92 – 2x</span>

The area is the product of the two sides,

<span>                                                                        A = xy</span>

Substituting,

<span>                                                            A = x (92 – 2x) = 92x – 2x2</span>

Solving for the derivative and equating to zero,

<span>                                                            0 = 92 – 4x  ; x = 23</span>

Therefore, the area of the garden is,

<span>                                                            A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

4 0
3 years ago
Read 2 more answers
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