In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number of cats.
Ο 18
Ο 21
Ο Ο Ο Ο
Ο 15
Ο 16

Answer:

A

Step-by-step explanation:

9 items at $50 each would be 9 × $50 = $450, which is more money than he has.

Answer:

A) dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) S(t) = (100 + t) - 5000/(100 + t)

C) 35%

Step-by-step explanation:

A) Let;

t = time in minutes

S = amount of syrup

dS/dt = rate at which syrup is flowing through tank

We are told that initially, the tank contains a mixture of 450 liters of cola and 50 liters of cherry syrup.

Thus,

At t = 0

Amount of cola = 450 litres

Amount of syrup = 50 litres

Total mixture = 450 + 50 = 500 litres

We are told that a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute.

Thus, amount of liquid in the tank at a time "t" is; 500 + 5t

We are told that cherry syrup is added at the rate of 2 liters per minute.

Thus, rate at which syrup is flowing through tank is given as;

dS/dt = 2 - 5[S/(500 + 5t)]

Factorizing out, we have;

dS/dt = 2 - 5[S/5(100 + t)]

5 will cancel out to give;

dS/dt = 2 - S/(100 + t)

Since we have 50 liters of cherry syrup initially, the initial value problem is;

dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) We have our initial value problem as;

dS/dt = 2 - S/(100 + t)

Rearranging, we have;

dS/dt + S/(100 + t) = 2

Multiplying through by 100 + t gives;

(dS/dt)•(100 + t) + S = 2(100 + t)

Integrating each term with respect to t gives;

(100 + t)S = (100 + t)² + c

Divide both sides by (100 + t) to get;

S = (100 + t) + c/(100 + t)

At t = 0;

S(0) = (100 + 0) + c/(100 + 0)

S(0) = 100 + c/100

Recall earlier in our initial value problem where we stated that S(0) = 50.

Thus;

100 + c/100 = 50

Subtract 100 from both sides to givw;

c/100 = 50 - 100

c/100 = -50

c = -50 × 100

c = -5000

Thus;

S(t) = (100 + t) - 5000/(100 + t)

C) The capacity of the tank is given as 1000 liters.

Earlier, we saw that amount of liquid in the tank at a time "t" is; 500 + 5t

Thus;

500 + 5t = 1000

5t = 1000 - 500

5t = 500

t = 500/5

t = 100 minutes

We want to find What percentage of the mixture is cherry syrup when the tank is full.

Thus we will plug in t = 100 minutes into S(t) = (100 + t) - 5000/(100 + t)

Thus;

S(100) = (100 + 100) - 5000/(100 + 100)

S(100) = 200 - 25

S(100) = 175 litres

We saw earlier that total mixture initially was 500 litres.

Thus, percentage of the mixture that is cherry syrup when the tank is full is;

175/500 × 100% = 35%

Answer:

125

Step-by-step explanation:

divide the Figure into 3 parts

1 st = 5 X 10 =50

2nd = 5×10 =50

3rd = 5×5 = 25

total = 50+50 + 25 = 125

Answer:

92°

Step-by-step explanation:

First, find the value of x.

3x + 23 = 4x (corresponding angles are congruent)

Subtract 3x from each side

23 = 4x - 3x

23 = x

x = 23

Angle ABC = 4x

Plug in the value of x

Angle ABC = 4(23)

Angle ABC = 92°

Answer:

True is correct

Step-by-step explanation:

Answer:

the awnser is 8 as is it it the awnser

Step-by-step explanation:

It's C.

8x8 = 64,

64/8 = 8

Answer:

A, C, E

Step-by-step explanation:

I don't really know how to explain it but you can kinda substitute 9 for the variable to confirm if you want.

Answer:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Step-by-step explanation:

Given

[tex]m = \frac{1}{15}[/tex] -- Slope

[tex](x_1,y_1) = (3,-5)[/tex] --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for y1, x1 and m

[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Hence, the equation in point slope form is:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Solving further to represent the equation in slope-intercept form, we have:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}x - \frac{1}{15}*3[/tex]

[tex]y+5 = \frac{1}{15}x - \frac{1}{5}[/tex]

Make y the subject

[tex]y= \frac{1}{15}x - \frac{1}{5}-5[/tex]

[tex]y= \frac{1}{15}x - (\frac{1}{5}+5)[/tex]

[tex]y= \frac{1}{15}x - (\frac{1+25}{5})[/tex]

[tex]y= \frac{1}{15}x - (\frac{26}{5})[/tex]

[tex]y= \frac{1}{15}x - \frac{26}{5}[/tex]

Answer:

1. No

2. No

3. Yes

4. No

Step-by-step explanation:

The first one isn't  proportional because it doesn't  start at 0

The second one isn't proportional because there isn't  a pattern between  the coordinates

The 3rd one is a proportional relationship because it starts at 0 and there is an equal amount of space between each coordinate and there is evidentially a pattern.

Finally, the  4th one isn't proportional because the last coordinate doesn't correspond w/ the others

Plz mark me brainliest if correct :)

Answer:

Pretie sure answer is 0

Step-by-step explanation:

first you take the 1 and subtract it from -3

which is -2 then add the other 2 to the -2 which is 0

then you devide 5 with 5 and 5 with zero which leaves you with zero and 0=x

Answer:112

Step-by-step explanation:multiply and divide for your answer

Step-by-step explanation:

In an hour, there are 60 minutes.

100km * (12/60) = 20km.

Hence the train runs 20km in 12 minutes.

Answer:

68°

Step-by-step explanation:

PRQ = SRQ gives:

3x-8 = 2x+6

x = 6+8 = 14

So PRQ = SRQ = 34

and

PRS = PRQ+SRQ = 68

Answer:

40+2+0.1

Step-by-step explanation:

Answer:

Percent decrease = 10.43% (Approx)

Step-by-step explanation:

Given:

Old price = $1.15 million

New price = $1.03 million

Find:

Percent decrease

Computation:

Percent decrease = [(Old price - new price)/Old price]100

Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100

Percent decrease = [($0.12 million)/$1.15 million]100

Percent decrease = 10.43% (Approx)

Answer:

Depth of water is increasing at 0.143 ft/min.

Step-by-step explanation:

Answer:

exact form:  -5/4

Decimal Form: -1.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of integers from 300 through 780, inclusive:

Number of integers with at least one of digit 1:

The probability is:

Answer:

8.75

Step-by-step explanation:

7/4 = 1.75 and ?/5 (5x1.75) = 8.75

Answer:

3) 146 degrees

4) 471 degrees

5) x = 100 and 3x = 300

Step-by-step explanation:

all three are polygons whose sum of all interior angles can be found by using the formula (n - 2)*180 where 'n' refers to the number of sides

In #3 and 5 there are 5 sides, so (5 - 2)*180 = 3(180) giving a total of 540 degrees. Add all known angles and deduct from 540.

#4 has 7 sides, so (7 - 2)*180 = 1260 degrees. Add all known angles and deduct sum from 1260.

#5 Add all integers plus 'x' + '2x' to get 240 + 3x = 540

2 hours Step-by-step explanation:

Answer: 2 hours.

Step-by-step explanation:

2/5 hour = one load of laundry

2/5 x 5 = 10/5 = 2 hours.

It will take Shonda 2 hours to dry 5 loads of laundry.

Hope this helps!

The ratio of the distance Jamal ran to the distance Lonnie ran is 4:1.

Note that 1 yard = 3 feet

Since Jamal ran a distance of 360 feet, this will be converted to yard and this will be: = 360/3 = 120 yards

Lonnie ran a distance of 30 yards.

Then the ratio of the distance that Jamal ran to the distance Lonnie ran all be: = 120/30 = 4/1 = 4:1

The ratio of the distance is 4:1

Read related link on:

https://brainly.com/question/21806098

Answer:

Letters A. and D. would fill in the blank correctly.

Given :

A point ( -3 , -2 ).

An equation of a line, y = x + 2.

To Find :

An equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.

Solution :

Let, equation of new line is :

y = mx + c     ....1)

Here, m and c are slope and intercept respectively.

We know, product of slope of two line is -1 :

m( 1 ) = -1

m = -1

It is also given that point ( -3,-2 ) passes through this point.

Putting value of this point and slope in equation 1), we get :

[tex]-2 = (-1)\times ( -3 ) + c\\\\c = -2 -3\\\\c = -5[/tex]

Therefore, the equation of line is : y = -x -5 .

Answer:

The expected number of people you will have to ask before you find someone with jumper cables is 6.25.

Step-by-step explanation:

        [tex]p_{X}(k)=(1-p)^{k-1}p;\ k={1, 2, 3...}[/tex]

        [tex]p_{X}(k)=(1-p)^{k}p;\ k={0, 1, 2, 3...}[/tex]

In this case the first scenario follows.

X = number of people you will have to ask before you find someone with jumper cables.

p = 0.16

Compute the expected number of people you will have to ask before you find someone with jumper cables as follows:

[tex]E(X)=\frac{1}{p}\\\\=\frac{1}{0.16}\\\\=6.25[/tex]

Thus, the expected number of people you will have to ask before you find someone with jumper cables is 6.25.