The animal shelter had a special on adoption rates for their dogs and cats. Each dog adoption fee was $75 and each cat adoption fee was $35. On Christmas Eve, the animal adopted out 8 total animals and brought in $400 in total adoption fees. How many dogs and how many cats were adopted out on Christmas Eve?

dogs:

cats:

Answers

Answer 1

Answer:

3 dogs and 5 cats were adopted out on Christmas eve.

Step-by-step explanation:

Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.

From the question,

On Christmas Eve, the animal adopted out 8 total animals

That is, x + y = 8 ...... (1)

and brought in $400 in total adoption fees.

Also from the question,

Each dog adoption fee was $75 and each cat adoption fee was $35.

∴ On Christmas Eve,

75x + 35y = 400 ...... (2)

Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.

From equation (1)

x + y = 8

Make x the subject of the relation.

∴ x = 8 - y ...... (3)

Substitute the value of x into equation (2)

75(8 - y) + 35y = 400

600 - 75y + 35y = 400

600 -40y = 400

600 - 400 = 40y

200 = 40y

∴ 40y = 200

y = 200/40

y = 5

Substitute the value of y into equation (3)

x = 8 - y

x = 8 - 5

x = 3

∴ x = 3 and y = 5

Hence, 3 dogs and 5 cats were adopted out on Christmas eve.


Related Questions

Identify the end behavior brain list for whoever gets it right

Answers

Answer:

Number 4, the last one

Step-by-step explanation:

The answer is the first choice.

For every odd-degree polynomial function,

When x approaches positive infinity, y approaches positive infinity.

When x approaches negative infinity, y approaches negative infinity.

As shown in the graph, substituting x into any numbers that are greater than 3 and you'll see how the graph heads toward y-value infinitely.

helppp will give brainliest

Answers

Answer:

1/3 is the slope of the line

the yellow one is correct

Write an equation in slope-intercept form of the line that is parallel to the line y = 3x - 1 and passes through ( - 2, - 8)

Answers

y = 3x - 2

Since it is parallel to y = 3x - 1, it has its slope, but also when x = -2, y = -8.

Create an equation... starting with:

y = 3x

When x = -2, y = -8:

y = 3x - 2

Check work by substituing x for -2:

y = 3(-2) - 2

y = -6 - 2

y = -8 ✔️

pls help

due at 11:59

Answers

Answer:

C. E.

Step-by-step explanation:

3. Two sides of a triangle measure 17 inches
and 9 inches. Which cannot be the length
of the remaining side?
A. 21
B. 26
C. 9
D. 15

Answers

the answer is b.

the length of x is 26.

can someone help me T-T

Answers

Answer:

This should be the answer

Step-by-step explanation:

One = a, c, f, e

Infinite = d

No = b

what is an equation for the line that passes through the points (-2,3), and (2,1)

Answers

Answer:

yes

Step-by-step explanation:

no

Lucia made a scale drawing of a game room. The pool table is 3 inches long in the drawing. The actual pool table is 9 feet long. What scale did Lucia use?
1 inch : _____feet

Answers

3 feet is equal to 1 inch if she measured 3 inches to equal 9 feet

Find the
measure of X given two triangles:

Answers

Answer:

The measure of angle x is 68°

Step-by-step explanation:

The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures

In the given figure

∵ An isosceles Δ has a vertex angle of measure 68°

∴ The other two angles are equal in measure ⇒ base angles

→ The sum of the measures of the interior angles of a triangle is 180°

The sum of the measures of the base angles = 180° - 68°

∴ The sum of the measures of the base angles = 112°

→ Divide their sum by 2 to find the measure of each angle

∵ The measure of each base angle = 112° ÷ 2

The measure of each base angle = 56°

∵ There are two intersected segments

∴ There is a pair of vertically opposite angles

∵ The other isosceles Δ has a vertex angle of measure x

A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically

   opposite angles

∴ They are equal in measure

∴ The measure of the base angle of the 2nd Δ = 56°

∴ The two base angles are equal in measure

The measure of each base angle is 56°

→ The sum of the measures of the interior angles of a triangle is 180°

56° + 56° + x = 180°

∴ 112° + x = 180°

→ Subtract 112 from both sides

x = 68

The measure of angle x is 68°

How do you make x the subject of the formula?

Answers

Step-by-step explanation:

Open the brackets

px - pq = x

Add pq to both sides.

px = x + pq

Subtract x from both sides.

px - x = pq

x (p - 1) = pq

Divide both sides by (p - 1)

x = pq/(p-1)

Please gimme brainliest.

what is the anwser to 20<2m-16

Answers

Answer:

the answer is m>18 hope this helps

If u^2=d, what does the square root property state that u is equal to?

Answers

Answer:

the square root of d

Step-by-step explanation:

if [tex]u^{2} = d[/tex] then the square root property would take the square root of each side of the equation. the square root of [tex]u^{2}[/tex] would just be [tex]u[/tex] because it's already squared and its exponent would just be cancelled out, while d would simply turn to [tex]\sqrt{d}[/tex].

meaning if [tex]u^{2} =d[/tex] then [tex]u=\sqrt{d}[/tex], because you've done the same thing to both sides of the equal sign, so they remain equivalent.

The square root property says the value of u²=d is u=±√d

What is Square Root?

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds.

Given here: The expression u²=d

The square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

Thus we have the given expression as u²=d

Taking square root on  both sides we get u=±√d

Hence, The square root property says the value of u²=d is u=±√d

Learn more about the square root property here:

https://brainly.com/question/29286039

#SPJ2

A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the numbe
chosen is divisible by 5 or 8.

Answers

Numbers divisible by 5 from 2 to 50 is 10 and numbers divisible by 8 from 2 to 50 is 6 ,therefore 6+ 10 =16 making 16/50 =8/25

What is the function??

Answers

The answer would be c.2

5h(-m+f)= 6

SOLVE FOR F!

Answers

6/5h+m

Just divide by 5h and then add m

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?

60

40

20

140

Answers

Answer:

Ok well it’s obviously not 140 Bc that’s more Doctors than they had to start and it isn’t 20, it’s not 40, so it’s 60.

Step-by-step explanation:

Also if you do 100/5 you get 20 and 5-2 is 3 so 20 times 3 is 60 so yeah

If 2i-2+i - 2i/3+i = a+bi then a= and b=

Answers

Answer:

a=-2 and b=10/3

Step-by-step explanation:

Given that [tex]2i-2+i-\frac{2i}{3}+i=a+bi[/tex].

[tex]\Rightarrow -2+2i+i-\frac{2i}{3}+i=a+bi \\\\\Rightarrow -2+(2+1-2/3+1)i=a+bi \\\\\Rightarrow -2+\frac{10}{3}i=a+bi[/tex]

On comparing the real and imaginary parts, we have

a=-2 and b=10/3.

Will give brainliest (Don't copy from the internet please)

You have gone out to eat with a couple of friends. One is your friend Jamal and the other is your friend Marek. At the end, you get the check, and you decide to split it in two parts. You will pay for yourself and Jamal, while Marek will pay for 1/3 of the total amount. You end up paying $16.00 for your part of the meal. Later, you can’t remember how much the total bill was, but you are sure you can figure it out.



1. Write a system of equations to represent this situation, and solve the system to find out how much the total cost of the meal was (including your part as well as Marek’s part). Show all of your work.



2. How much did Marek pay for his part of the meal? Again, show all of your work.



3. Was this a fair way to split up the check? What might be a more fair way to split up the check?

Answers

1: 48


2: 1/3 of 48 = 48/3 = 16


3:No it wasn’t because you payed an extra 16 for jamals meal.Everyone should pay 16 dollars each because that is 1/3 of the meal price

How do you get the fully simplified slope-intercept form?​

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

Find the length of each missing side and each missing angle in the equilateral triangles below

Answers

Answer:

z=4.2ft

x=60 º

y=60 º

Step-by-step explanation:

Because the triangle is equilateral, all sides are the same, so z=4.2

Also because it is equilateral, all angles of the triangle equal 60 º.

Answer:

4.2ft

Step-by-step explanation:

This is an equilateral triangle so all sides and angles will be the same

Could some one solve this for me? I’m to dumb

Answers

Answer:

we haul y=.045x+20

you haul y=1x

Rewrite 1/4 with the denominator of 100

Answers

Answer: 25/100= 1/4

Step-by-step explanation:

100/4=25

1*25=25

4*25=100

The fraction is now 25/100

Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?

A. M<1+ M<2 +M<3 + m<4 = 360

B. The sum of the measures of angles of a triangle is 180°

C. The measure of all right is 90°

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Answers

Answer:

b 3eedeehheheehejwjjhhhejjererj

Write seventeen thousand and one hundred six thousandths in standard form

Answers

Answer: 17,000.106.

Step-by-step explanation: hope this helps

Please help! Solve for g

Answers

Answer:

g= - 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 5 to both sides.

Step 4: Multiply both sides by 4/(-1).

g=−32

Answer:

g = -32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3 = g/-4 - 5

Step 2: Solve for g

Add 5 to both sides:                    8 = g/-4Multiply -4 on both sides:            -32 = gRewrite:                                        g = -32

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Substitute in g:                    3 = -32/-4 - 5Divide:                                  3 = 8 - 5Subtract:                              3 = 3

Here we see that 3 does indeed equal 3.

∴ g = -32 is the solution to the equation.

David earns a 4% commission for all the furniture he sells. If David sales were 187500 what was the dollar amount of his commission?

Answers

Answer:195000

Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales

What is 135 less than the product of 57 and 219?

Answers

Answer: something in the negatives

Step-by-step explanation:

If 4x+5=13x+4-x-9 then x= ?

Answers

4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x

Answer:

x = 5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

4x + 5 = 13x + 4 - x - 9

Step 2: Solve for x

Combine like terms:                    4x + 5 = 12x - 5Subtract 4x on both sides:          5 = 8x - 5Isolate x term:                              10 = 8xIsolate x:                                       5/4 = xRewrite:                                        x = 5/4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply:                               5 + 5 = 65/4 + 4 - 5/4 - 9Add:                                     10 = 81/4 - 5/4 - 9Subtract:                              10 = 19 - 9Subtract:                              10 = 10

Here we see that 10 does indeed equal 10.

∴ x = 5/4 is the solution to the equation.

A restaurant bill is 56.39.Estimate a 15% tip

Answers

15% would be 8.4585


hope this helps!!

A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse traveled the same distance each hour. To determine the distance that the mouse traveled each hour, Matt performed the calculations below.

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating speed;

Speed = Distance/Time

Given

Speed = 3/24 miles per 3 hours

Required

Distance travelled in an hour

3/24 miles = 3 hours

x = 1 hour

Cross multiply;

3 * x = 3/24 * 1

3x = 3/24

Cross multiply;

3x * 24 = 3

72x = 3

x = 3/72

x = 1/24

Hence the distance travelled each hour is 1/24 miles

Answer:

c

Step-by-step explanation

make it simple

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