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deff fn [24]
3 years ago
12

Patrick is building a sandbox he begins with one piece of wood. He cuts 3 feet off the piece of wood then he cuts the remaining

length of wood into four equal parts if each part is 5 feet long what was the original length of the piece of wood
Mathematics
1 answer:
faust18 [17]3 years ago
3 0

Answer: the original length of the piece of wood is 23 feet

Step-by-step explanation:

Let x represent the original length of the piece of wood.

He cuts 3 feet off the piece of wood. This means that the remaining length of wood would be

(x - 3) feet

he cuts the remaining length of wood into four equal parts. if each part is 5 feet long, it means that

(x - 3)/4 = 5

Cross multiplying by 4, it becomes

x - 3 = 4 × 5

x - 3 = 20

x = 23

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Use a factor tree to find the GCF of 32 and 80.
valentinak56 [21]

Answer:

GCF of 32 and 80 is 16

Step-by-step explanation:

factors of 32 = 1, 2, 4, 8, 16, 32

factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

8 0
2 years ago
Please Please Please help with this math problem
katovenus [111]
  1. The revenue as a function of x is equal to -x²/20 + 920x.
  2. The profit as a function of x is equal to -x²/20 + 840x - 6000.
  3. The value of x which maximizes profit is 8,400 and the maximum profit is $3,522,000.
  4. The price to be charged to maximize profit is $500.

<h3>How to express the revenue as a function of x?</h3>

Based on the information provided, the cost function, C(x) is given by 80x + 6000 while the demand function, P(x) is given by -1/20(x) + 920.

Mathematically, the revenue can be calculated by using the following expression:

R(x) = x × P(x)

Revenue, R(x) = x(-1/20(x) + 920)

Revenue, R(x) = x(-x/20 + 920)

Revenue, R(x) = -x²/20 + 920x.

Expressing the profit as a function of x, we have:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = -x²/20 + 920x - (80x + 6000)

P(x) = -x²/20 + 840x - 6000.

For the value of x which maximizes profit, we would differentiate the profit function with respect to x:

P(x) = -x²/20 + 840x - 6000

P'(x) = -x/10 + 840

x/10 = 840

x = 840 × 10

x = 8,400.

For the maximum profit, we have:

P(x) = -x²/20 + 840x - 6000

P(8400) = -(8400)²/20 + 840(8400) - 6000

P(8400) = -3,528,000 + 7,056,000 - 6000

P(8400) = $3,522,000.

Lastly, we would calculate the price to be charged in order to maximize profit is given by:

P(x) = -1/20(x) + 920

P(x) = -1/20(8400) + 920

P(x) = -420 + 920

P(x) = $500.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

3 0
2 years ago
Help me on this math question please
yawa3891 [41]

Answer:

Area

Step-by-step explanation:

When covering the surface of a solid, we measure or calculate the area.

3 0
3 years ago
Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5
irina1246 [14]

ans is b...multiply eqn 1 by -2 and eqn 2 by 3

=》 -6x + 10y = 4...eqn 3

=》 6x + 3y = 9...eqn 4

add eqn 3 and 4...

=》13y = 13

=》y =1 and x = 1

5 0
3 years ago
What is the GCF of the expression (24 + 18)?
andrew-mc [135]
6. 24- factors:1&24,2&12,3&8, 4&6. 18  factors: 1&18, 2&9, 3&6. The highest number that can multiply into them is 6 so it is the GCF
6 0
3 years ago
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