PLEASE HELP!!!! (exponential decay/growth) .

Given:

The ratio of cats to dogs is 3:7.

12 dogs escaped and the ratio is now 3 : 4.

To find:

The total number of animal at the beginning.

Solution:

Let the number of cats and dogs at the beginning are 3x and 7x respectively.

12 dogs escaped. So, the remaining number of dogs is (7x-12).

New ratio of cats and dogs is 3:4.

[tex]\dfrac{3x}{7x-12}=\dfrac{3}{4}[/tex]

[tex]4(3x)=3(7x-12)[/tex]

[tex]12x=21x-36[/tex]

[tex]12x-21x=-36[/tex]

[tex]-9x=-36[/tex]

Divide both sides by -9.

[tex]\dfrac{-9x}{-9}=\dfrac{-36}{-9}[/tex]

[tex]x=4[/tex]

Now, the total number of animals at the beginning is

[tex]Total=3x+7x[/tex]

[tex]Total=10x[/tex]

[tex]Total=10(4)[/tex]

[tex]Total=40[/tex]

Therefore, the total number of animals at the beginning is 40.

Answer:

7500

Step-by-step explanation:

force = Acceleration × Mass

1500×5=7500

Answer: The answer is D

Answer:

Step-by-step explanation:

They sold $42 worth of tickets in one hour. Need more information to determine the number of tickets.

The Wilson Student Government sold $42 worth of tickets in one hour. Total amount of money earned from ticket sales = $126

Number of hours during which the tickets were sold = 3 hours

Step 1: Divide the total amount of money earned by the number of hours to find the average ticket sales per hour.

Tickets sold in one hour = Total amount of money / Number of hours

Tickets sold in one hour = $126 / 3

Step 2: Perform the division.

Tickets sold in one hour = $42

So, the Wilson Student Government sold $42 worth of tickets in one hour. This means that on average, they were making $42 per hour during the three-hour period of selling tickets for the talent show.

To know more about tickets:

https://brainly.com/question/23246243

#SPJ2

Answer:

Hope that answers your question

Answer:

x=68°

Step-by-step explanation:

In quadrant 3 the FULL  value is 90°

90°-22°

=68°

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Hope this helped!!

Answer:

68 degrees

Step-by-step explanation:

Answer:

The equation in the standard form of the line through the given points is;

y = 3x - 17

Step-by-step explanation:

We start by getting the slope of the line;

m = (y2-y1)/(x2-x1)

m = (7-10)/(8-9) = -3/-1 = 3

The stands equation form is;

y = mx + b

m is slope, b is the y-intercept

so we have

y = 3x + b

To get b, we substitute the coordinates of any of the points

10 = 3(9) + b

10 = 27 + b

b = 10-27

b = -17

So the equation is;

y = 3x - 17

Answer:

for every 19 red apples, there are 7 green ones

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

The answer is 37 I tried it and its right

Answer:

the answer is A

Step-by-step explanation:

hope it helped

Answer:

Yes

Step-by-step explanation:

Two variables may be associated without a causal relationship. For example, there is a statistical association between the number of people who drowned by falling into a pool and the number of films Nicolas Cage appeared in in a given year. However, there is obviously no causal relationship.

I don't know if it would help but you can try  

Answer:

yes

Step-by-step explanation:

Answer:

yes the answer is right it is 48.98

Answer:

Exponential

Step-by-step explanation:

Answer:

sure,ill tryy :)

How to find slope:

Divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The actual formula for this is: (y2 - y1)/(x2 - x1).

How to find Y intercept

To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Ex. 2x + 3y = 12

So you plug in 0 for x therefore it becomes:

3y = 12

so, the y intercept is 4

Let me know if this is helpful :)

Answer:

80 cm^3

Step-by-step explanation:

In order to find the volume of an object, you must multiply the length x width x height of the object. In the case of this pyramid, you also must multiply by 1/3 in the end. This looks like 5x6x8x(1/3) = 80 cm^3

Answer:

I got 240 but I'm not sure if that is correct

Step-by-step explanation:

volume is the space inside and you find out with length x width x height and that's what I did. I guess the number just seems high

Answer: Parallel lines

Step-by-step explanation:

These lines are Parallel due to the fact that they will never cross each other. Since they are both perfectly lined up with each other, this makes them Parallel.

Answer:

Step-by-step explanation:

10 inches

Answer:

68.5 inches

Step-by-step explanation:

The pythagorean theorem is a^2+b^2 = c^2

In this case, a = 60, b = 33, and we are looking for c, so this is how you do it:

60^2 + 33^2 = 3600 + 1089 = 4689

sqrt(4689) = 68.47627326...

Rounded to the nearest tenth is 68.5!

Answer:

21

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

30-8=22

5*4=20

20 dollars is the closest you can get without going over

Answer:

First box: 12.56, second box: 12.56

Step-by-step explanation:

We know the volume (v) is 25.12

We know the base's area (b) is 12.56 (from the statement supplied)

Answer:

3052.08

Step-by-step explanation:

since there is nothing next to the hundredths place its 3052.08, unless your taking about the hundreds place then it would be 3100.00.

9514 1404 393

Answer:

  13.609°

Step-by-step explanation:

The csc^-1 function is the arccosecant function. It gives the angle whose cosecant is given. If we let A represent that angle, your statement is ...

  A = csc^-1(4.25)

It is used to solve the relation ...

  4.25 = csc(A)

__

Some calculators can give you the value directly (see attached). Most cannot. In any event, you need to make sure the angle mode for the calculator is set to degrees.

When your calculator does not have the csc^-1 function, you can make use of the trig identity ...

  csc(x) = 1/sin(x)

In the above equation, this becomes ...

  4.25 = 1/sin(A)

  sin(A) = 1/4.25 . . . . . solve for sin(A)

All scientific and graphing calculators will have the inverse sine (arcsine) function.

  A = sin^-1(1/4.25)

  A ≈ 13.609° . . . . . . . calculator mode in Degrees

_____

Additional comment

For inverse functions, especially inverse trig functions, I find it useful to read them as ...

  csc^-1(x)   ⇒   "the angle whose cosecant is x"

  sin^-1(x)   ⇒   "the angle whose sine is x"

This reminds me that the value it gives is an angle (degrees or radians), and the argument it takes is a pure number (one with no units).

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

15.60+120.00=$135.60

Answer:

Interest = $75

Total to pay back = $375

Step-by-step explanation:

The total amount she will have to pay back is found by the formula:

= Amount borrowed * (1 + rate * years)

= 300 * ( 1 + 5% * 5)

= $375

The interest is therefore:

= Amount to be paid back - Amount borrowed

= 375 - 300

= $75

Answer:

i have no clue

Step-by-step explanation:

Answer:

you have to only put "8000"

Step-by-step explanation:

bcs i said so