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Anit [1.1K]
3 years ago
13

A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is 200 + 3q q . The cost

per item to produce q items in factory B is 400 + q 3q . Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.
Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

100

Step-by-step explanation:

200+3qq+400+q3q

200+3q²+400+3q²

3q²-3q²+400-200    

q²=200

q²=200/2

q²=100

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The solution of this question
nata0808 [166]

9514 1404 393

Answer:

  30°, 150°

Step-by-step explanation:

You know the answer to this because you have memorized the short table of trig function values.

  sin(θ) = 1/2 for θ = 30° and θ = 150°

5 0
3 years ago
(1Q) Describe how to transform the graph of g(x) = lnx into the graph of f(x)= ln(x-4)+3?
xxMikexx [17]

Answer:

B

Step-by-step explanation:

The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.

Red: Parent Function y = ln(x)

Blue: 4 units right. 3 units up.

Answer: B

6 0
3 years ago
The Opposite Of The Opposite Of $800 Is $800. Is His Reasonign correct?<br> Explain
babymother [125]

Answer:

umm... i belive yes.

Step-by-step explanation:

this is beacuse..

800 opposite wold be -800 right

and then the opposite of -800 wold be 800

so 800 is equal to 800 cus ya

so yes i belve that this is true.

5 0
3 years ago
Doug sold 125 sandwiches to raise money for his boy scout troop. 80% of those sandwiches were sold in his neighborhood. How many
grigory [225]

Answer:

Doug sold 100 sandwiches in his neighborhood.

Step-by-step explanation:

To solve for percentage you have to first find the percentage's decimal. To find this you have to the move the decimal point up to places. This makes 80 into 0.8. After you do this you will mutiply that but the total amount. So 125 times 0.8. Once you do this you should get 100. This means that Doug sold 100 sandwiches in his neighborhood.

4 0
3 years ago
The distance between two cities is 145 miles. A truck can cover this distance in 2. 5 hours. A car is 1. 5 times as fast as the
Sophie [7]

The relative speed of the car to the truck while moving towards each other is the sum of the speed of both vehicles.

  • The time it takes them to meet is <u>1 hour</u>

Reasons:

The distance between the cities, d = 145 miles

The time it takes a truck to cover the distance = 2.5 hours

The speed of the car = 1.5 × Th speed of the truck

Required:

The time it takes them to meet if they are moving towards each other.

Solution:

  • \displaystyle Speed = \mathbf{ \frac{Distance}{Time}}

\displaystyle Speed \ of \ the \ truck, \ v_{truck} = \frac{145 \ miles}{2.5 \ hours} = \mathbf{58 \ mph}

Therefore;

The speed of the car, v_{car} = 1.5 × 58 mph = 87 mph

At the time<em>, t</em>, the truck and the car meet, we have;

\mathbf{v_{car} \times t + v_{truck} \times t = d}

Which gives;

87 × t + 58 × t = 145

\displaystyle t = \mathbf{\frac{145}{87 + 58}} = 1

  • The time it takes them to meet, <em>t</em> = <u>1 hour</u>

Learn more about distance, time and speed here:

brainly.com/question/17609639

8 0
2 years ago
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