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aleksandr82 [10.1K]
3 years ago
5

Several students were asked to name the kinds of animals they saw in the past week at the park. Determine the ratio that compare

s the number of cats seen to the total number of animals seen. Dogs 8 Cat 2 Fish 4 Lizard 2 Choices: 1:8 5:16 3:16 1:4
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0

Answer:

A. 1:8

Step-by-step explanation:

We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.

Dogs: 8

Cat: 2

Fish: 4

Lizard: 2

We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.

Let us find total number of animal by adding each type of animals as:

\text{Total animals}=8+2+4+2

\text{Total animals}=16

We can see that the students saw 2 cats, so ratio of cats to total animals would be 2:16.

Dividing 2 and 16 by 2, we will get:

\frac{2}{2}:\frac{16}{2}\Rightarrow 1:8

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.

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These are the cost and revenue functions for a line of trumpets sold at a music store:
Maslowich

Answer:

168 trumpets for $1702

Step-by-step explanation:

Profit is the measure to be maximized.  We are given revenue and cost relationships as a function of units, x (trumpets).  Profit is the difference:

Profit = Revenue[R(x)] - Cost[C(x)]

Profit = (76x – 0.25x^2) - (-7.75x + 5,312.5)

Profit = 76x - 0.25x^2 + 7.75x - 5,312.5

Profit = 76x - 0.25x^2 + 7.75x - 5,312.5

Profit = - 0.25x^2 + 83.75x - 5312.5

At this point we can find the trumpets needed for maximum profit by either of two approaches:  algebraic and graphing.  I'll do both.

<u>Mathematically</u>

The first derivative will give us the slope of this function for any value of x.  The maximum will have a slope of zero (the curve changes direction at that point).  Take the first derivative and set that equal to 0 and solve for x.

First derivative:

d(Profit)/dx = - 2(0.25x) + 83.75

d(Profit)/dx = - 0.50x + 83.75

0 = - 0.50x + 83.75

0.50x = 83.75

x = 167.5 trumpets

<u>Graphically</u>

Plot the profit function and look for the maximum.  The graph is attached.  The maximum is 167.5 trumpets.

Round up or down to get a whole trumpet.  I'll go up:  168 trumpets.

<u>Maximum Profit</u>

Solve the profit equation for 168 trumpets:

Profit = - 0.25x^2 + 83.75x - 5312.5

Profit = - 0.25(168)^2 + 83.75(168) - 5312.5

<u>Profit = $1702</u>

4 0
3 years ago
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6 0
3 years ago
Find the common ratio of the geometric sequence 5, -15, 45,
Lelu [443]

Answer:

-3

Step-by-step explanation:

The common ratio of a geometric sequence is the number that each term of the sequence is multiplied by. This means that the the previous term is multiplied by the common ratio to get the current term. The common ratio can also be used to create a function that can predict future terms.

To find the common ratio of this sequence, divide a term by the previous term. For example, -15/5. This gives the answer, -3. Dividing the terms allows us to figure out what factor is being multiplied by in the sequence.

8 0
3 years ago
PLEASE HELP 2 QUESTIONS 45 POINTS!!!!!!!!!
Effectus [21]

Answer:

1. -8x² - 16x - 6      a = -8, b = -16, c = -6

1. 4x² - 1                  a = 4, b = 0, c = -1

Step-by-step explanation:

use the 'foil' method:

(4x + 2)(-2x - 3)

F: -8x²     O: -12x       I: -4x       L: -6

-8x² - 16x - 6

(2x + 1)(2x - 1)

F: 4x²     O: -2x       I: 2x       L: -1

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In the problem 100 divided by 25 equals 4 the the what is 100
Mekhanik [1.2K]

Answer:

<em>Dividend</em>

Step-by-step explanation:

Dividend is a number that is to be divides by other.

So 100 is a dividend.

25:

A divisor.

A divisor is a number to be divided by.

4:

Result of the division

6 0
4 years ago
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