a veterinarians office has 2100 animals it sees in one month. of these animals, 1500 of them are dogs. what is the ratio of dogs to all animals, in simplest form?

Answer:

Step-by-step explanation:

Refer to attached for the table and clearer version of the question

As per table A and B pipes feed the tank and C is the outlet

Considering initial volume of 100 gallons, the amount of water in the tank after x minutes is:

We can calculate when tank is going to be empty:

Since we got negative number, the tank is not going to be empty when all 3 pipes are open.

The function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

If we have two sets A and B as:

[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]

Then, function

[tex]f:A \rightarrow B[/tex]

is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.

The connected pairs are then written as:

[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex]

Under the function f.

The table shows the input and output of water from pipes A, B, and C.

Pipe                                        A                         B                        C

Flow In (gallons/minute)      a(x)=25x             b(x)=10x

Flow Out (gallons/minute)                                                       c(x)=30x

The pipes begin operating simultaneously at noon.  Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened.

At noon, a tank contains 100 gallons of water. In the above table A and B shows the inlet of water while C shows the out let of the water.

So, 100, A and B added in the function while C will be subtracted as,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

Thus, the function in option C represents T (x).

Now use this equation, to find the number of minutes for the tank be empty. For this equation, the equation equal to zero as,

[tex]T(x)=100+25x+10x-30x[/tex]

[tex]0=100+25x+10x-30x\\-100=5x\\x=-20[/tex]

This negative value of x tells that if all the three pipes are open, the tank is never become empty completely.

Thus, the function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

Learn more about the function here;

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Answer:

Paige mows 1/2 acre per hour

Step-by-step explanation:

1/4=.25

1/2=.5

               .25*2=.50

               .50*2= 1

Answer:

3

Step-by-step explanation:

This is because its the opposite.

Jasmine would write 3.

Hope this helps!!

Answer:

c

Step-by-step explanation:

Answer:

604 minutes

Step-by-step explanation:

145+459=604

Answer:

The answer is A because A has 9 zeroes behind 3.5

1,000,000

2,500,000x0.4 (40 as a decimal) = 1,000,000

Answer: its nit the 3rd one i just took the test

Step-by-step explanation:

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

let [tex] A(-2, 4) = (x_2, y_2) [/tex]

[tex] B(?, ?) = (x_1, y_1) [/tex]

[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]

Rewrite the equation to find the coordinates of B

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

Solve for each:

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]

[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]

[tex] 5 = x_1 - 2 [/tex]

[tex] 5 + 2 = x_1 - 2 + 2 [/tex]

[tex] 7 = x_1 [/tex]

[tex] x_1 = 7 [/tex]

[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]

[tex] 7 = y_1 + 4 [/tex]

[tex] 7 - 4 = y_1 + 4 - 4 [/tex]

[tex] 3 = y_1 [/tex]

[tex] y_1 = 3 [/tex]

Coordinates of point B: (7, 3)

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

Rewrite the equation to find the coordinates of B

Coordinates of point B: (7, 3)

Answer:

a

   The population of interest is the registered voters , this is because  it is the population from which the sample size is selected from.

b

The  population is the registered voters of the  large southwestern state

c

Well this does not adequately represent the population because this sample where selected from only the registered voters of the  large southwestern state  and not the whole country

d

   Yes the result will be nearly the same because

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  5,500

Considering question a

 What is the population of interest

   The population of interest is the registered voters , this is because  it is the population from which the sample size is selected from.

Considering question b

What is the population from which the sample was selected    

  The  population is the registered voters of the  large southwestern state  

Considering question c

    Does the sample adequately represent the population

Well this does not adequately represent the population because this sample where selected from only the registered voters of the  large southwestern state  and not the whole country

Considering question d

   Yes the result will be nearly the same because

Answer:

The prize is p100,000.00, and we can define this as the 100%.

Now, we could say:

"Each member receives the same percentage of the price as the total percentage of the project that he/she did"

Then:

Member A did 25% of the total project.

Then he gets an amount X.

X = 25%

p100,000.00 = 100%

We can solve this system for X as:

X = (25%/100%)*p100,000.00 = p25,000.00

Now we can use the samme aproach for the other members:

Member B did 40% of the total project:

Then he gets an amount X.

X = 40%

p100,000.00 = 100%

X = (40%/100%)*p100,000.00 = p40,000.00

Member C did 25% of the total project.

Then he gets an amount X.

X = 25%

p100,000.00 = 100%

X = (25%/100%)*p100,000.00 = p25,000.00

Member D did 10% of the total project.

Then he gets an amount X.

X = 10%

p100,000.00 = 100%

X = (10%/100%)*p100,000.00 = p10,000.00

Now, we also could divide the price evenly between the four members:

p100,000.00/4 = p25,000.00

So they all get the same amount, but i think that the actual solution to this problem is the other one.

Answer:

D

Step-by-step explanation:

Answer:

d. 40

Step-by-step explanation:

Answer:

8 : 5

simple math

Answer:

4

Step-by-step explanation:

The incorrect step is Step 4, cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y), the correct option is C.

Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.

The steps used to solve the trigonometric identity are :

Step 1 :  sin(x+y)

Step 2: cos ((π/2) - (x+y))

Step 3 : cos ( (π/2 -x) -y)

Step 4 : cos (π/2 -x) cosy + sin (π/2 -x)siny

Step 5: sinxcosy+cosxsiny

Therefore,the correct step is cos (π/2 -x) cosy + sin (π/2 -x)siny  and not cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y) , the incorrect step is Step 4.

The complete question is attached with the answer.

To know more about Trigonometric Identity

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#SPJ2

Answer: 0.2877

Step-by-step explanation:

Given : The proportion of eggs will be damaged in route to the stores = 15% = 0.15

Sample size = 100

Let p be the probability of her eggs will be damaged.

The probability that less than 13% will be damaged is given by :-

[tex]P(p<0.13)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.13-0.15}{\sqrt{\dfrac{0.15\times(1-0.15)}{100}}})[/tex]

[tex]=P(z<-0.56)[/tex]

[tex]=1-P(z<0.56)\\\\= 1-0.7123\\\\= 0.2877[/tex]

Hence, the required probability = 0.2877

Answer:

6000

Step-by-step explanation:

You want to make the 5 a 6 and zero's for the rest. You make the five a six because if the number is 5 or higher you bump it up one number, if it is 4 or lower you don't need to bump it up or down. I hope this helps!

Place values is the value of a digit in relation to its position

5658 approximated to the highest place value is 6000

The number is given as:

[tex]\mathbf{Number = 5658}[/tex]

The number is in thousands; so, the highest place value is thousands

This means that the number must be approximated to thousands.

When 5658 is approximated to the nearest thousands, the approximated value is:

[tex]\mathbf{Approximated = 6000}[/tex]

Hence, 5658 approximated to the highest place value is 6000

Read more about place values at:

https://brainly.com/question/16552177

[tex]2x + \frac{1}{3} = \frac{4}{3} [/tex]

[tex]2x = \frac{4}{3} - \frac{1}{3} [/tex]

[tex]2x = \frac{3}{3} [/tex]

[tex]2x = 1[/tex]

[tex]\color{hotpink}x = \frac{1}{2} [/tex]

Therefore , the correct option is :-

[tex]\color{yellow}\mapsto\color{teal}x =\color{magenta} \frac{1}{2} [/tex]

Answer:

420 Cars were tested

Step-by-step explanation:

231×100÷55=420

Answer:

90×0.7

Step-by-step explanation:

I think this is the correct answer.

100-30=70

70=0.7

Answer:

C

Step-by-step explanation:

Answer:

392

Step-by-step explanation:

times 28 by 14 and youll get 392 - may i get brainliest :)

Answer:

392 people would be in the room

Step-by-step explanation:

you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together  112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392

Answer:

Yes you can

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

...

y = 1/3x +b

1 = 1/3(9) +b

1 = 3 +b

subtract 3 from both sides

-2 = b

Answer:

the y intercept is -4 and the slope is 1

Step-by-step explanation:

Answer:

itz 5

Step-by-step explanation:

i took quiz

Answer:

she spent $14

Step-by-step explanation:

1/4=0.25

0.25 x 56= 14