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3 years ago

Look at the comparison below3/10 is this comparison statement correct

Mathematics

2 answers:

9966 [12]3 years ago

6 0

What statement, but 3/10 is equal to 6/20 , etc.

bixtya [17]3 years ago

3 0

What statement? 3/10

?

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The profit (in thousands of dollars) of a company is given by P(x) = -8x2 + 32x + 14.

andre [41]

Answer:

Step-by-step explanation:

The profit (in thousands of dollars) of a company is given by the function:

$\displaystyle P(x) = -8x^2+32x+14$

And we want to find the maximum profit of the company.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:

$\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

Find the x-coordinate of the vertex. In this case, a = -8, b = 32, and c = 14. Hence:

$\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2$

To find the maximum profit, substitute this value back into the function. Hence:

$\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46$

Therefore, the maximum profit of the company is 46 thousand dollars.

Our answer is C.

5 0

2 years ago

Clare has 80 pencils and 56 erasers to give away. What is the largest number of group that can formed with the same numbers of p

Leokris [45]

Answer:

Step-by-step explanation:

I assume each person in the group must have 1 pencil AND 1 eraser each.

Since you have more pencils than erasers, then the limiting factor is the number of erasers. So a group of 56 people will have 1 pencil And 1 eraser and Clare will have 24 pencils left over (assuming Clare has her own pencil and eraser - if not then the group size is 55 assuming Clare is not in the group)

sorry if it's too confusing

6 0

3 years ago

A fire engine starts pumping water at 9:20 am at the rate of 800 gallons per minute. Another fire engine, pumping at the rate of

AleksAgata [21]

Answer:

10:10 AM

Step-by-step explanation:

The first thing is to use an identical time variable for both cases, we will do it as follows:

Let t = number of minutes of pumping time of the first fire engine

Therefore, for the second fire truck it would be:

(t-10) = pumping time of the second fire engine, since it started 10 min after the first engine.

To find the value of t, we equalize the equations of the first engine and the second engine:

We know that the first one would be: 800 * t

And the second: 1000 * (t-10)

Thus

1000 * (t-10) = 800 * t

1000 * t - 10000 = 800t

1000 * t - 800 * t = 10000

200 * t = 10000

t = 10000/200

t = 50 minutes

In other words, 50 minutes after the first engine starts pumping, it equaled the second

To know the time they were matched it would be like this:

9:20 AM +: 50 = 10:10 AM

Therefore, at 10:10 AM both engines were matched.

To check the above we have to:

50 * 800 = 40000

40 * 1000 = 40000

Therefore, in that time, they were equalized.

4 0

3 years ago

Read 2 more answers

What is the distance between (0,-1), (5,1)

BlackZzzverrR [31]

Answer:

square root of 29 or approximately 5.38

7 0

3 years ago

Read 2 more answers

What is the value of x? Enter your answer in the box.

Andrews [41]

Answer:

$\displaystyle 7 = x$

Step-by-step explanation:

Five is one-eighth of forty, so relatively proportional to that, one-eighth of twenty-four is three, so you do this:

24 = 2x + 10

- 10 - 10

__________

$\displaystyle \frac{14}{2} = \frac{2x}{2} \\ \\ 7 = x$

I am joyous to assist you anytime.

5 0

3 years ago