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SSSSS [86.1K]
3 years ago
14

3(v-4)=51 solve for v

Mathematics
2 answers:
Elena L [17]3 years ago
6 0

Answer:

v=21

Step-by-step explanation:

Use the distributive property or divide both sides by 3.

Distributive property way:

3(v-4)=51

3v-12=51

3v=63

v=21

Divide both sides by 3 way:

3(v-4)=51

v-4=17

v=21

Snowcat [4.5K]3 years ago
4 0

Answer:

21

it's 21 because v= 21 because 21 is V

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castortr0y [4]

Answer:

126 trees should she plant per acre to maximize her harvest.

Step-by-step explanation:

Let x be the additional tress that must be plant after planting 100 tress.

So, total number of trees = 100 + x trees

Also, Each additional tree planted decreases the yield of each tree by 3 bushels.

So , net bushels by each tree = 35 - 3x

The revenue function becomes

f(x) = (100 + x)(35 - 3x)

Thus,

Differentiating it by using chain rule as:

f'(x) = (100 + x)35 + 100(35 - 3x)

f'(x) = 3500 + 35x + 3500 - 300x

f'(x) = 7000  - 265x

<u>For maxima of f(x), f'(x) = 0</u>

7000  - 265x = 0

Thus,

x = 26.4151

<u>Since, x represents tress, so, x is 26.</u>

<u>So, total tress she would plant to earn maximum revenue = 100 + 26 = 126 trees</u>

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3 years ago
A chef is filling one sink with water, while emptying another. The first sink is empty and is being filled at a rate of 4 gallon
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3 years ago
Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one
olga_2 [115]

Answer:

Length = Width = Height = 64 ; Luggage Box is a CUBE

Step-by-step explanation:

Given : Length (L) + Width (W) + Height (H) ≤ 192 ; & Length = Width

Volume ( V )of luggage [Cuboid] = L.W.H

Since L = W :

V = L.L.H  → V = L^2H  

L + L + H = 192 →  2L + H = 192 → H = 192 - 2L

Putting value of 'H' in 'V'

V = L^2 (192 - 2L) → V = 192L^2 - 2L^3

Maximising volume function , differentiating it w.r.t 'L'

dV / dL = 2(192 L) - 3 (2L^2)  → = 384L - 6L^2

dV / dL = 384L - 6L^2  = 0

384L = 6L^2 → 384 = 6L

L = 384 / 6 → L = 64  ; W also = 64

Putting value of L in 1st given sum equation : 2L + H = 192

2 (64) + H = 192

128 + H = 192 → H = 192 - 128 → H = 64

Since L = W = H = 64 ; Luggage bag is a Cube

6 0
3 years ago
The quantity of an element is decaying over time such that the amount of material at
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Answer:

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3 years ago
Find the length of X
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Answer:

x = 8\sqrt{2}

Step-by-step explanation:

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x = 8\sqrt{2}

8 0
3 years ago
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