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

-2x -3=9 solve and explain

Answers

Answer:

-6

Step-by-step explanation:

-2x - 3 = 9

     + 3     +3

-2x = 12

/ -2     / -2

x = -6

A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?

Answers

Answer:

The radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

[tex]A\:=\:4\pi r^2[/tex]

[tex]r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}[/tex]

Plug in Surface Area of sphere =  5024, π = 3.14 in the formula

[tex]\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:[/tex]

[tex]r\approx 20[/tex] cm

Therefore, the radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm

What is an area model of 15 times 11

Answers

Answer:

165

Step-by-step explanation:

you need to x it

I need the measure of 6

Answers

Answer:

angle 6 is 63

They are alternate to each other

Step-by-step explanation:

Here, we want to get the measure of angle 6 from the diagram

From the diagram,

angle 6 is also 63

The reason for this is because the two angle measures are alternate angles and alternate angles are congruent

I need the measure of angle 1

Answers

Answer:

Angle 1 is 69°

Step-by-step explanation:

9x + 66 = -9x + 156

9x + 9x = 156 - 66

18x = 90

18x/18 = 90/18

x = 5

-9x + 156

-9(5) + 156

-45 + 156

111

180 - 111 = 69.

I need help..........

Answers

Answer:

Step-by-step explanation:

lol

you need help...

XD

Find factors of following polynomial
A) 7 + 4 + 56 + 32 B) + 9 + 8 + 72
C) (42− 12 + 9 2− 92 )
plz answer properly
I will mark the person brainliest who answers properly

Answers

Step-by-step explanation:

the cotrect one is C

❤❤❤❤

A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3

Answers

Answer:

The volume of a rectangular prism = V = 140 m³

Step-by-step explanation:

Given:

Length l = 4 mWidth w = 5 mHeight h = 7 m

To Determine:

The volume of rectangular prism = V

Using the formula to determine the volume of the prism

V = l × w × h

V = 4 × 5 × 7

V = 140 m³

Therefore, the volume of a rectangular prism = V = 140 m³

the table represents the points on the graph of a linear function. Which of the following equations best represents the data in the table?​

Answers

9514 1404 393

Answer:

  f(x) = 3x +5

Step-by-step explanation:

The x-values change by 1 from the first line to the second.

The y-values change by -13-(-16) = 3 from the first line to the second.

Then the "rate of change" is ∆y/∆x = 3/1 = 3. This will be the coefficient of x in the equation. The last choice is appropriate:

  f(x) = 3x + 5

aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn

Answers

Answer:

m = 12n

Step-by-step explanation:

M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.

Is 72,681 is rounded to the nearest thousands

Answers

Answer:

70,000

Step-by-step explanation:

Answer:

The correct answer is 73,000.

Step-by-step explanation:

This is because, we know that the number 7 or 70,000 represents the ten-thousands in this number. Therefore, the number 2 or 2,000 represents the thousands place, which is what we are trying to round.

In order to do so, we have to look at the number behind it, which, in this case, is 6.

Rule: If the number is 4 or less, the number before it stays the same. If the number is 5 or more, the number before it goes up 1.

Since 6 is larger than 5, the 2 will become a 3, while the other numbers become 0s.

Therefore, the correct answer is 73,000.

Hope this helps! :)

Determine whether the relation is a function.​

Answers

This is a function because they have different x that go to y the y

Which is the graph of f(x) = |x| +3? ​

Answers

I think it’s C because the point is at 3

if dan was 4 years old 18 years ago, how old will he be 16 years from now?

Answers

Answer:

4+18 = 22 thats now in 16  years would be 38 years old

Step-by-step explanation:

question 15: Given l∥m, find the value of x.

Answers

Answer:

x=8

Step-by-step explanation:

the addition of all the angles must equal 360(the 4 angles on the intersection) degrees

125+125=250

360-250=110

110/2=55

7*8-1=55

Point C is located at (1, 2), and point D is located at (-4,-2). Find the point that is the distance from point C
to point D. (1 point)
a. (-0.25, 1)
b. (-1.5,0)
c. (-0.5, 1.5)
d. (0.25, 2.25)

Answers

Answer:

The answer would be c

Step-by-step explanation:

i choosed c because u have da negative sign in front of 4 and 2 and positive numbers with 1 and 2

Answer:

b

Step-by-step explanation:

I think this means to find the mid-point(?) of the line which by doing that you take both x-values and you add them and then divide by two, and then you take both y-values and add them and then divide by two. So you have: (1+-4)=-3, (-3/2)=-1.5

-1.5=x

(2+-2)=0, (0/2)=0

0=y

(-1.5, 0)

Beau buys a 3 pound bag for a hike. He wants to make 4 ounce bags for his friend going with him. How many 4 ounce bags can he make?

Answers

Answer:

12 bags

Step-by-step explanation:

3 pounds = 48 ounces

48 ÷ 4 = 12

Answer:

12 bags

Step-by-step explanation:

The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?

Answers

Answer: 18 by8

Step-by-step explanation:

Identify any constraints on the domain

Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in minutes
Choose the correct answer below.

OA. The domain consists of all integers greater than or equal to 10 and less than or equal to 20

OB. The domain consists of all integers less than or equal to 20
OC The domain consists of all integers greater than or equal to 0

OD. The domain consists of all integers greater than or equal to 0 and less than or equal to 20

O E. The domain consists of all integers greater than 0 and less than or equal to 20

Answers

Answer:

Step-by-step explanation:

A vertical asymptote represents a value at which a rational function is undefined, so that value is not in the domain of the function. A reciprocal function cannot have values in its domain that cause the denominator to equal zero. In general, to find the domain of a rational function, we need to determine which inputs would cause division by zero.

Scott's Montly income is $3,500. Scott spends 12% of his monthly income on groceries.

a. calculate the amount Scott spends each month on groceries

b. Scott spends $250 each month on his car. What percent of his monthly income does scott spend on his monthly car payment? (round to the nearest whole percent)

help plss

Answers

Answer:  i don’t know  this anwser but pls give me points I’m sure another person will give u something

Step-by-step explanation:

Josh worked 30 hours last week and earned $8.50 per hour. If $32.50 was withheld from his paycheck, what was Josh's net pay?

Answers

Answer:

$222.50

Step-by-step explanation:

Hours Josh worked last week = 30

Money earned per hour = $8.50

Money withheld = $32.50

Josh's net pay = (30 x 8.50) - 32.50

                        = 255 - 32.50

                        = $222.50

Pls mark as brainliest <3

A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?

Answers

Answer:

1.4

Step-by-step explanation:

3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece

1.4 I hope I helped have a nice day!!

Yo can somebody help me with this question

Answers

Answer:

[tex]\huge\boxed{x=9}[/tex]

Step-by-step explanation:

[tex]\angle A\cong\angle B\qquad\text{therefore}\qquad AC\cong BC\Rightarrow|AC|=|BC|\\\\\text{We have}\ |AC|=20;\ BC=3x-7.\\\\\text{Therefore}\\\\3x-7=20\qquad|\text{add 7 to both sides}\3x-7+7=20+7\\\\3x=27\qquad|\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9[/tex]

please help me!!!!!!!!!!!!!

Answers

Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3

Isolate variable terms: 2+3=4x-3
Answer= 5=X

What is the slope of this line?

y= -5/3x + 5

Answers

Answer:

-5/3

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

y=mx+b

m is the slope

so its -5/3

Hope this helps plz hit the crown :D


Answer questions one through six, show your work.

Answers

Answer:

1) 36, 2) 14, 3) 19, 4) 18, 5) 3, 6) 117

Step-by-step explanation:

1)  6(7) - 3(2)   2)  (7)(4)/2   3)  (7) + |2(7) - (2)|   4)  6(5) - 4(3)   5)  [(4) + (5)]/3  

    42 - 6             28/2            7 + |14 - 2|               30 - 12            9/3

    36                   14                7 + 12                      18                    3

                                               19

6)  (4) + [(5)^3 + (3)] - 15

     4 + (125 + 3) - 15

     4 + 128 - 15

     132 - 15

     117

d. If the speed of a body is increased four times, how will its kinetic energy be affected?
Show by calculation.

e. By how many times will the kinetic energy of a body increase if its speed is tripled?
Show by calculation.

f. What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?

Is in less time than B. who has more power​

Answers

Answer:

E

Step-by-step explanation:

PLZZZ HELPPP I WILL GIVE YOU BRAINLESS ‼️‼️

Which gives the correct values for points A, B, C, and D?

A number line going from negative 2 to negative 1. There are 5 equal spaces between the numbers.
A = negative 1 and one-fifths, B = negative 1 and two-fifths, C = negative 1 and three-fifths, D = negative 1 and four-fifths
A = negative 1 and one-fifths, B = negative 1 and four-fifths, C = negative 1 and three-fifths, D = negative 1 and two-fifths
A = negative 1 and four-fifths, B = negative 1 and three-fifths, C = negative 1 and two-fifths, D = negative 1 and one-fifth
A = negative 1 and four-fifths, B = negative 1 and one-fifth, C = negative 1 and three-fifths, D = negative 1 and two-fifths

Answers

Answer:

the thrid one

Step-by-step explanation:

bc its all correct like i went over all of it and its correct glad to help bro!!!!!

Answer:

c

Step-by-step explanation:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72

Answers

Given:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter.

The table of values which represents the number of pounds of food she collects each week.

To find:

The number of more pounds of dog food Louisa need to reach her goal.

Solution:

For first week = 20.5 pounds

For second week = [tex]18\dfrac{3}{4}=18.75[/tex]

For third week = 32.75

Now,

[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]

Therefore, the correct option is C.

halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))

John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?

thx for haplin me!! :)

Answers

Question:

Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.

How much more money did she save than spend this week?

Answer:

none. i better be right or else im  jumping off my roof

Other Questions
22.758 to the nearest foot what is equivalent to 6x-3y=12 Which of these statements uses transitional words to connect ideas? A. Many states have more than one national park. Florida has the Everglades and the Dry Tortugas. B. Arizona has a very famous national park. It is called the Grand Canyon. It is famous and draws visitors from all over the world. C. The beautiful, lush Hawaiian islands are the home of two of the worlds most active volcanoes. D. South Dakota's Badlands are home to a lot of wildlife, including bison, bighorn sheep, and swift foxes. What kind of information is included in a political platform?A) lists of people who form a committeeB) additional sources of information about issuesC) positions and opinions related to current issuesD) questions that citizens should ask themselves Fill in the blank. Remember to spell correctly. Greenland is a part of the European country of _____. name the device that helps you to maintain potential difference across a conductor What two items are the products of photosynthesis? Can someone please help meWhich value is equivalent to the expression 3^(-3)? *A.1/27B.1/9C.-9D.-27 Suppose that the separation between two speakers A and B is 6.60 m and the speakers are vibrating in-phase. They are playing identical 126-Hz tones and the speed of sound is 343 m/s. An observer is seated at a position directly facing speaker B in such a way that his line of sight extending to B is perpendicular to the imaginary line between A and B. What is the largest possible distance between speaker B and the observer, such that he observes destructive interference : According to Booker T. Washington, why is it important for African Americans to learn a trade or industrial skill rather than pursuing political rights? Homogamy is the tendency of individuals to marry people who have social characteristics similar to their own.true or false The purpose of a thesis statement is to:summarize what was writtenlist several opinionsstate what the author intends to provecreate a smooth beginning to an essay Which set of transformations would prove triangle QRS ~ triangle UTS?? Help! what is it that makes a magnet different from a piece of iron that is not mangetic? please help me, this isn't a test or quiz I just need some help. Which event was the final straw which led to the rewriting of the Constitution? aShays's Rebellion bAnnapolis Convention cWhiskey Rebellion dThe Boston Massacre 1. A Baltimore passenger train traveled 80 miles in 1.5 hours. What was the average speed of the train? 50mph What is the solution to this equation? 7x + 3 = 10x - 5.4 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. A truck driver is trying to decide between two jobs offers. Driving company A offers pay for $600 per week, plus $0.15 per mile driven. Driving company B offers $700 per week, plus $0.10 per mile driven. The truck diver wants to know how many miles would they need to drive in a week to be making the same amount between the 2 companies. Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, w? What is the value of w?