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3 years ago

It takes 45 minutes for 4 people to paint 5 walls.How many minutes does it take 6 people to paint 4 walls?

1 answer:

4 0

45 min. - 4 peoples - 5 walls
? min. - 6 peoples - 4 walls
-------------------------------------------
180 min. - 1 man - 5 walls ⇒
36 min. - 1 man - 1 wall ⇒
6 min. - 6 peoples - 1 wall ⇒
24 min. - 6 peoples - 4 walls (answer)

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The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. Which statement best fi

nevsk [136]

Answer:

The correct option is a.

Step-by-step explanation:

The average cost function is

$f(x)=\frac{600+2x}{x}$

Where x is the number of calendars produced.

The average cost formula is

$AC=\frac{\text{Total Cost}}{\text{Number of items}}$

Therefore the total cost is defined b the function

$g(x)=600+2x$

Here 600 is the initial cost and the cost each unit is 2.

Initial cost is the fixed cost which occurs at zero level of productivity.

The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.

8 0

3 years ago

Read 2 more answers

Find four geometric means between 25 and 800.

SVEN [57.7K]

Actually, you have to find four missed terms of geometrical sequence. Denote

$a_1=25,\\ a_6=800$

and r - ratio, then

$a_2=a_1\cdot r=25r,\\a_3=a_1\cdot r^2=25r^2,\\a_4=a_1\cdot r^3=25r^3,\\a_5=a_1\cdot r^4=25r^4,\\a_6=a_1\cdot r^5=25r^5$ .

Since $a_6=800$ , you have that $800=25r^5$ , then

$r^5=\dfrac{800}{25} =32,\\r=2$ .

Now substitude r=2 in each of unknown 4 terms:

$a_2=25\cdot 2=50,\\a_3=25\cdot 2^2=100,\\a_4=25\cdot 2^3=200,\\a_5=25\cdot 2^4=400$ .

Answer: four geometric means between 25 and 800 are 50, 100, 200, 400.

8 0

4 years ago

Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in

Mrrafil [7]

Answer:

1300

Step-by-step explanation:

We are given

x = 35

$\frac{dp}{dt}=-0.05$ [rate of change of price with time]

We want to find $\frac{dx}{dt}$ , which is the rate at which supply is changing.

First, we need to implicitly differentiate the equation given:

$625p^2-x^2=100\\1250p\frac{dp}{dt}-2x\frac{dx}{dt}=0$

Here, we have what we need except for p. We find p when x = 35:

$625p^2 - x^2 =100\\625p^2 - (35)^2 =100\\625p^2=1325\\p=1.46$

Now, find dx/dt:

$1250(1.46)(-0.05)-2(35)\frac{dx}{dt}=0\\-91.25-70\frac{dx}{dt}=0\\\frac{dx}{dt}=-1.30$

In thousands, 1.30 * 1000 = 1300 cartons per week decrease

5 0

3 years ago

The slope and a point on a line are given. Use the information to locate three additional points on the line.

Vsevolod [243]

C is the right answer , the equation of the line y=-4x-7

8 0

2 years ago

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Jim has 20-inch wheels on his bicycle (their diameter is 20 inches). The tires are worn out, and he would like to cut them into

Dafna11 [192]

≈120in
The equation for circumstance is 2πr and one tire is 62.83 so two tiers would be 125.66 or ≈ 120

4 0

3 years ago

Read 2 more answers