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mr_godi [17]
3 years ago
8

If you dig a 6 ft hole how deep is that hole

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

about 20 ft

Step-by-step explanation:

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Help, don’t understand this problem.
Mila [183]

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 9 → (1)

x + 2y = 8 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term, that is

- 3x - 6y = - 24 → (3)

Add (1) and (3) term by term to eliminate x

(3x - 3x) + (- 5y - 6y) = (- 9 - 24), that is

- 11y = - 33 ( divide both sides by - 11 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting in (2)

x + 2(3) = 8

x + 6 = 8 ( subtract 6 from both sides )

x = 2

Solution is (2, 3 )

8 0
3 years ago
Read 2 more answers
How do I solve <br><br> 10x-3(7-2x)+18
kiruha [24]
10x-(3x7-3x2x)+18
10x-(21-3x2x)+18
10x-(21-6x)+18
10x-21+6x+18
16x-21+18
16x-3
8 0
3 years ago
Read 2 more answers
A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
HACTEHA [7]

Answer:

A) Revenue function = R(x) = (580x - 10x²)

Marginal Revenue function = (580 - 20x)

B) Fixed Cost = 900

Marginal Cost function = (300 + 50x)

C) Profit function = P(x) = (-35x² + 280x - 900)

D) The quantity that maximizes profit = 4

Step-by-step explanation:

Given,

The Price function for the cake = p = 580 - 10x

where x = number of cakes sold per day.

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

where x = number of cakes sold per day.

Please note that all the calculations and functions obtained are done on a per day basis.

A) Find the revenue and marginal revenue functions [Hint: revenue is price multiplied by quantity i.e. revenue = price × quantity]

Revenue = R(x) = price × quantity = p × x

= (580 - 10x) × x = (580x - 10x²)

Marginal Revenue = (dR/dx)

= (d/dx) (580x - 10x²)

= (580 - 20x)

B) Find the fixed cost and marginal cost function [Hint: fixed cost does not change with quantity produced]

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

The total cost function is a sum of the fixed cost and the variable cost.

The fixed cost is the unchanging part of the total cost function with changing levels of production (quantity produced), which is the term independent of x.

C(x) = 900 + 300x + 25x²

The only term independent of x is 900.

Hence, the fixed cost = 900

Marginal Cost function = (dC/dx)

= (d/dx) (900 + 300x + 25x²)

= (300 + 50x)

C) Find the profit function [Hint: profit is revenue minus total cost]

Profit = Revenue - Total Cost

Revenue = (580x - 10x²)

Total Cost = (900 + 300x + 25x²)

Profit = P(x)

= (580x - 10x²) - (900 + 300x + 25x²)

= 580x - 10x² - 900 - 300x - 25x²

= 280x - 35x² - 900

= (-35x² + 280x - 900)

D) Find the quantity that maximizes profit

To obtain this, we use differentiation analysis to obtain the maximum point of the Profit function.

At maximum point, (dP/dx) = 0 and (d²P/dx²) < 0

P(x) = (-35x² + 280x - 900)

(dP/dx) = -70x + 280 = 0

70x = 280

x = (280/70) = 4

(d²P/dx²) = -70 < 0

Hence, the point obtained truly corresponds to a maximum point of the profit function, P(x).

This quantity demanded obtained, is the quantity demanded that maximises the Profit function.

Hope this Helps!!!

8 0
3 years ago
Avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados.
mezya [45]

Answer:

y = 3x

Step-by-step explanation:

sorry cant do the graph

6 0
3 years ago
I need help understanding this and help with the problems...
Pavel [41]

1. 15+37=?

  • 15=10+5 (given on the diagram)
  • 37=30+7 (given on the diagram)
  • add digits to digits 5+7=12=10+2
  • add tens to tens 10+30+10=50
  • add tens and digits 50+2=52.

2. 22+49=?

  • 22=20+2 (given on the diagram)
  • 49=40+9 (given on the diagram)
  • add digits to digits 2+9=11=10+1
  • add tens to tens 20+40+10=70
  • add tens and digits 70+1=71.

3. 38+26=?

  • 38=30+8 (given on the diagram)
  • 26=20+6 (given on the diagram)
  • add digits to digits 8+6=14=10+4
  • add tens to tens 30+20+10=60
  • add tens and digits 60+4=64.

Answer: 1) 52; 2) 71; 3) 64.

7 0
3 years ago
Read 2 more answers
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