A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and they made $3,360. Write a system of equations that matches the situation

Answers

Answer 1

Answer:

x+y=28

70x+140y=3360

8 cats, 20 dogs were sold

Step-by-step explanation:

Let x=cats y=dogs

We know that a total of 28 pets were sold which means that

x+y=28

We also know that they made 3360 which means that

70x+140y=3360

It doesn't really say if you need to solve this but I will anyways

We use the first equation (x+y=28) and subtract 28 and y from both sides to get

x-28= -y we can then divide both sides by -1 so y can be a positive

-x+28=y

This is what y equals in terms of x and so we can plug this in for y in the second equation

70x+140(-x+28)=3360

Distribute the 140 and get

70x-140x+3920=3360

Add like terms and subtract 3920 to get

-70x=-560

divide both sides by -70 and get

x=8

We now know that 8 cats were sold and can plug this value into any equation to solve for y ( I will be using the first one because that's easiest)

8+y=28

subtract 8 and get

y=20

Answer 2

A system of equations that matches the situation is:

1) d + c = 28.................Equation 1

2)140d + 70c = 3360............Equation 2

This question has to do with Algebraic equations.

Let's represent

Number of dogs = d

Number of cats  = c

A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and they made $3,360.

We have two algebraic systems of equations for the above statements

1) d + c = 28.................Equation 1

2) $140 x d + $70 x c = $3,360

140d + 70c = 3360............Equation 2

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Related Questions

The quotient of 2 and x is greater than 4\

Answers

Answer:

7

Step-by-step explanation:

Answer:

x is greater that 8

Step-by-step explanation:

this is because if the quotient of 2 and x has to be greater that 4 then 2 divided by 8 (8 being x) is 4 so anything substituting x has to be greater that 8.

1a) Sara sells a car that was priced at $8,500.00. If she makes a commission of 6.5%, how much will she make? *

Answers

Answer:

$552.50

Step-by-step explanation:

To find how much she will make, find 6.5% of 8500

8500(0.065)

= 552.5

So, she will make $552.50

Answer:

$552.50

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

[tex]I=P*R[/tex]

Where:

P is the principal amount, $8500.00.

R is the interest rate, 6.5% per year, or in decimal form, 6.5/100=0.065.

To find the simple interest, we multiply 8500 × 0.065 to get that:

The interest is: $552.50

In which set of points is y a function of x? A. {(1, -2), (0, 1), (1, 1), (1, 2)} B.{(1, 2), (0, 1), (1, 2), (1, 1)} C.{(2, 1), (0, 1), (1, 0), (2, 1)} D.{2, 2), (1, 1), (0, 1), (-1, -1)}​

Answers

Answer:

D

Step-by-step explanation:

There is no repeated x

The required set of points is y a function of x is C.{(2, 1), (0, 1), (1, 0), (2, 1)}. Option C is correct.

What is set?

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

A function is a set of ordered pairs where each value of x has only one corresponding value of y. In other words, for a function, there can be only one value of y for each value of x.

So, among the sets of points given, set D, A, and C is not a function of x because the value x=1 has two corresponding values of y.

Therefore, the set of points in which y is a function of x is set C.{(2, 1), (0, 1), (1, 0), (2, 1)} because, for each value of x, there is only one corresponding value of y.

Learn more about sets here:
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Fill in the blanks to complete the steps of this word problem: Moby can use his jetpack to travel 240 miles in 4 hours. How far can he travel in 10 hours?

Answers

Answer:

Well 240 divided by 4 equals 60 which is how many miles he can travel in 1 hour.

Step-by-step explanation:

So 60 multiplied by 10 equals 600.

That means Moby can travel 600 miles on his jetpack in 10 hours

Hope this helps :)

240 x 2 = 480
240 • 2 = 600
Final answer 600

In triangle bcd if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle

Answers

Answer:

<b = 108 degrees

<c = 36 degrees

<d = 36 degrees

Step-by-step explanation:

The sum of angle in a triangle is 180 degrees

Hence <b + <c + <d = 180

13x-35 + 5x - 19 + 2x + 14 = 180

13x+5x+2x-35-19+14 = 180

20x-40 = 180

20x = 180 + 40

20 x = 220

x = 220/20

x = 11

Get <b

<b = 13x-35

<b = 13(11) - 35

<b = 143-35

<b = 108 degrees

Get <c

c =5x-19

<c = 5(11)-19

<c = 55-19

<c = 36degrees

Get <d

<d = 2x+14

<d = 2(11) + 14

<d = 22+14

<d = 36 degrees

What is the value of z?

Answers

Answer:

68°

Step-by-step explanation:

Every figure must sum 180°(Sides-2) degrees

Example: For a triangle (3 sides) 180°(3-2) => 180°(1) =>180°

In this case: 5 sides 180°(5-2) => 540°

So all the angles (5) must sum 540°

Mathematically expressed as:

[tex](119)+(z)+(2z)+(70)+(2z)+(11)=540\\119+z+2z+70+2z+11=540\\200+5z=540\\5z=540-200\\5z=340\\z=\frac{340}{5}\\z=68'[/tex]

Lets see changing every Z by 68...

119+68+2(68)+70+2(68)+11

119+68+136+70+136+11=540°

please help its math will mark brainliest

Answers

Answer:

11 yards.

Step-by-step explanation:

4 + 5 + 2 = 11

Hope this helps : )

Answer:

19, 360

Step-by-step explanation:

1 mile = 1760

1760 × 11 = 19360


Which description is paired with its correct expression?

Four less than the quotient of a number cubed and seven 4 - n3/7 + 3

Five times the difference of a number squared and six 5(6 - n2)

Nine more than the quotient of six and a number cubed decreased by 4 9 + n3/6 - 4

Twice the difference of nine and a number squared 2(9 - n2)

I think it’s D
Please help

Answers

Answer:

D.

Step-by-step explanation:

Hi there! You’re correct.

Twice the difference of nine and a number squared would look like

[tex]2(9-n^2)[/tex]

I hope this helped! :)

There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. Therefore, there are males cast in the school play.

Answers

Answer:

12

Step-by-step explanation:

There are 32 female casts in a school play

The ratio of male to the female role is 3:8

Therefore the number of male casts in the school play can be calculated as follows

3/8= x/32

Cross multiply

8x = 32×3

8x= 96

x= 96/8

= 12

Hence there are 12 male casts in the school play

Rectangle ABCD is shown on the coordinate grid below.
Which sequence of reflections will map rectangle ABCD onto itself?
A. a reflection over the −axis followed by a reflection over the −axis
B. a reflection over the −axis followed by another reflection over the −axis
C. a reflection over the line = 2 followed by a reflection over the line = 2
D. a reflection over the line = 4 followed by a reflection over the line = −4

Answers

Answer:

Step-by-step explanation:

It’s B I did the test

Option {C} : a reflection over the y - axis followed by another reflection over the y - axis is the correct alternative of the given ones.

What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each other

Given is a Rectangle ABCD as shown on the coordinate grid.

In order to map the rectangle ABCD onto itself, we will reflect it over the y − axis followed by another reflection over the same y − axis.

Therefore, option {C} : a reflection over the y - axis followed by another reflection over the y - axis is the correct alternative of the given ones.

To solve more questions on graph reflections, visit the link below -

https://brainly.com/question/7835414

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Consider the expression below. 26 ÷ 10 3

Answers

Answer:

2.5

Step-by-step explanation:

if rounded would be 3

Plz help! I will do anything

Answers

it’s b if i’m not mistaken

Oliver streams movies through a company that charges $4.99 per month and $1.99 per
movie, m. Write an equation to represent the total cost, t, per month.
Dependent variable:
Independent variable:
Equation:
Use your equation to determine the monthly cost if Oliver watched 5 movies.

Answers

Answer:

4.99 + 1.99m = T. Dependent Variable = T (Total Cost), Independent Variable = M (Movies) Now, for the equation we have to input 5 for the m because he watched 5 movies. So, 4.99 + 1.99(5) = T Well, 1.99 x 5 is 9.95 so our next step is this 4.99 + 9.95 = T and that  added up together would be 14.94 dollars. $14.94 = T

Step-by-step explanation: I hope that this helps you!


I need help
With this question ASAP PLS

Answers

10 times!!!!!!!!!!!!

There are 47 photos in the blue album the blue album has 32 more photos than the red album. How many photos are in the blue album?

Answers

Answer:

15

Step-by-step explanation:

There are 47 photos in the blue album

The blue album has 32 nore photos than the red album

Therefore the number of photos in the red album can be calculated as follows

= 47-32

= 15

Hence there are 15 photos in the red album

PLEASE QUICKLY!
find x:

-5x^2=1.8

Answers

Answer:

The answer and explanation is on the picture.

Divide is the x hope its right

Tim has 3 blue shirts and 2 red shirts in a drawer. He randomly picks one shirt, puts it back, and then picks another shirt. What is the
probability that Tim picked up a blue shirt first and then a red shirt?

A. 5/25

B. 6/10

C. 5/10

D. 6/25

Answers

Answer:

D-6/25

Step-by-step explanation:

Will give brainliest ty

Answers

Answer:

B

Step-by-step explanation:

Sorry if it is incorrect

Look at the diagram. Which of the following is another name 22?
с.
А
D
1/2
B

Answers

Answer:

i think another name for angel 2 is CBD or DBC i ain't sure

Step-by-step explanation:

pls help me!! thank you!!

Answers

Answer:

4

Step-by-step explanation:

4 is the answer :))) good luck

Solve x and y 3x-4y=18,9x+2y=12

Answers

Answer:

please follow me

stay safe and healthy

6[x+1]=-2[3x+9] please show work will give brainlist

Answers

Answer:

Step-by-step explanation:

6(x+1) = -2(3x+9)

6x+6 = -6x-18

6x+6x+6-6 = -6x+6x-18-6

12x=-24

x= -2

Find the value of X. Giving brainliest if correct!

Answers

Answer:

X=24

Step-by-step explanation:

I did this when I was a freshman and I was always really good at it

A peep increased by 25% is a pop. A pop decreased by 40% is a slug, and a slug increased by 100% is a slap. What percent of a peep is a slap

Answers

Answer:

A slap is 120% of a peep

Step-by-step explanation:

We shall make use of values here

Let a peep be value of 100

A pop is 100 + 25% of 100

= 100 + 0.25(100) = 125

Pop = 125

A slug is pop deceased by 40%

= 125 - (40% of 125)

= 125-(50) = 75

A slap is a slug increased by 100%

= 75 + (100% of 75)

= 75 + 75 = 150

So now, we want to calculate percent of peep is a slap

That will be;

150/125 * 100%

= 120%

in a congregation of 300 members, 130 have hymn books, 90 have bibles and 100 have neither. How many have both hymn book and bible​

Answers

Answer:

20 members have both hymn books and bibles.

Step-by-step explanation:

Sets

There are two sets of people. One is made up of members who have hymn books, the other one is made up of members who have bibles. From the total members of the congregation, some have neither.

The congregation has 300 members out of which 100 don't have bibles either hymn books. This means that 300-100= 200 members have bibles or hymn books. Since 130 have hymns books and 90 have bibles, there are 90+130=220 members who have either.

The difference of 220 - 200 = 20 is the number of members who have both hymn books and bibles.

I'm solving for UW. And we're using pythagorean theorem.​

Answers

UW = 45
a squared + b squared = c squared
- 6^2 + x^2 = 9^2
- 36 + x = 81
- (subtract 36 from both sides)
- x = 45

i'm pretty sure this is right and i hope it helps you!

Answer:

6^2+x^2 = 9^2

x^2 = 9^2-6^2 = 81-36 = 45

x = √45

UW = √45 ft

What Is the area of the trlangle? Enter the answer in the box.
square units

Answers

Answer: right

Step-by-step explanation:

The equation for a triangle is A=1/2BH (b is the base and h is the height) you would count the little boxes, the base is 4 and the height is 6. Now you would just plug your numbers back into the equation. A=1/2(4)(6) then solve the equation to get your answer which would be 12 square units.

A cement mixer can hold up to 681 kilograms of cement. How many 100-pound bags of cement can be put into the mixer at one time?​

Answers

Answer:

15 bags

Step-by-step explanation:

Given that :

Capacity of mixer = 681 kg

Pounds per bag of cement = 100 pounds

Number of bags mixer can hold =?

Converting the capacity of mixer to pounds :

1kg = 2.205 pounds

681 kg = (681 * 2.205) pounds = 1501.605 pounds

Number of 100 pound bag of cement :

Capacity in pounds / 100 pounds

1501.605 / 100

= 15.016

= 15 bags of 100 pound cement


Can someone help me plz I will give the brainliest I promise

Answers

Answer:

He should play Pacman instead

What is the slope of line a?

• -4
• 4
• -1/4
• 1/4

Answers

I think it’s four. If not then I’m sorry

Answer:

-1/4 is the correct answer

Step-by-step explanation:

you’re going down 1 and over 4 :)

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