Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Sally, an artist, plans to paint and sell some miniature paintings. She just bought some brushes for $12, and paint and canvas for each painting costs $77; she will sell each painting for $78. Once Sally sells a certain number of her paintings, she will be breaking even. How much will Sally have earned? How many paintings will that be?


Sally's expenses and receipts will both total $______ when she has sold ______of her paintings.

Answer:

(x-2)²+(y-4)² = 25

Step-by-step explanation:

Standard equation of a circle is expressed as

(x-a)²+(y-b)² = r²

Center = (a, b)

Radius = r

Get the radius

r² =(0-4)²+(-1-2)²

r² = (-4)²+(-3)²

r² = 16 + 9

r² = 25

Centre = (2, 4)

Substitute into the equation

(x-2)²+(y-4)² = 25

This gives the required equation

A=1

B=-5

C=3

-(-5)+(Square root of) (-5)^2+4(1)(3)/2(1)

-(-5)-(Square rooy of) (-5)^2+4(1)(3)/2(1)

5.5414 or -.5414

Answer:

The answer would be 81,000

Step-by-step explanation:

Answer:

The answer is 81,000

Step-by-step explanation:

If you multiply 30x30x30+30x30x60=81,000

Answer:

That question is easy you can use simple logic for this no math needed the answer is B 4.2mi if you need a reason why it is i will provide one

Step-by-step explanation:

Answer:

y= -0.2x+14

Step-by-step explanation:

you have to do y2-y1/x2-x1 of any two coordinates or points so you could do 9.8-10.2/21-19 then you get -0.4/2 and that equals -0.2 so -0.2 is now ur slope or M. Next you pick any coordinate like (19,10.2) and you plug that into ur y=mx+b to find the b since you have found the m already from y2-y1/x2-x1. You could do 10.2= 19(-0.2)+b once you do the algebra to solve this you get 14 as your b or y intercept

Answer:

6/10 is the answer

Step-by-step explanation:

hope it helps!!!

Answer:

Dog - K.C.

Horse - Bo

Bird - Cricket

Cat - Tuffy

The solution is

The name of the dog = K.C.

The name of the horse = Bo

The name of the bird = Cricket

The name of the cat = Tuffy

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A can be calculated as

The species of pets in set A = { Dog , Horse , Bird , Cat }

The names of the pets in set B = { K.C. , Bo , Cricket , Tuffy }

The expressions are

Now , Tuffy and K. C. cannot fly or be ridden

So , Tuffy and K.C. are either the cat or the dog

And , Tuffy runs from the dog

So , Tuffy is the cat and K.C. is the dog from the expression

The bird talks to Bo , so Bo is not the bird

So , from the expression , we get

Therefore , the name of the horse is Bo and name of the bird is Cricket

Hence ,

The name of the dog = K.C.

The name of the horse = Bo

The name of the bird = Cricket

The name of the cat = Tuffy

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Answer:

105 degrees

Step-by-step explanation:

Since there mus tbe 180 degrees in a triangle 180-80=100 and then -25 is equal to 75. since the line is 180 degrees, 180-75 = 105

Answer:

jdnendndnndhehehrhejejrjrhrh

Step-by-step explanation:

fndndbdhdhdhddhdhdhcfbbdbddbdbdbd

hello hello hi good day?

Answer:

2.3

Step-by-step explanation:

Answer:

0.76

[tex]\frac{19}{25}[/tex]

Step-by-step explanation:

Answer:

D) 76/100

Step-by-step explanation:

16/100 + 6/10 = ?

16/100 + 60/100 = ?

16/100 + 60/100 = 76/100

Answer:

The correct option is option A

A. The statement is false. Each matrix is row equivalent to one and only one reduced echelon matrix

Step-by-step explanation:

The matrix in echelon form is not in a unique form, as such row reduction can yield an infinite amount of answers. However a row reduced echelon form is unique and will give the same answer in every order that the row operation is performed

The statement is false. Each matrix has only one unique row echelon form, therefore, the correct option is option A.

Answer:

Step-by-step explanation:

So this is a quadratic sequence.

3, 12, 22, 33, 45, 58, 72

 9   10   11    12   13   14  

9, 10, 11, 12, 13, 14

 1    1    1    1    1

This means the next one must be 15 so

3, 12, 22, 33, 45, 58, 72, x

 9   10   11   12   13   14   15

x= 72+15

x= 87

Answer:

$15 dollars off so the original price is $60!!!

Step-by-step explanation:

Answer:

$36

Step-by-step explanation:

45 x 0.20

= 9

Total price - sale

= 45 - 9

= 36

Answer: the answer is a

Step-by-step explanation:

Answer:

the answer is A

because translating is just shifting

Answer:

5

Step-by-step explanation:

Answer:

5x-2

Step-by-step explanation:

2x+3x=5x

5-7=-2

Answer:

5x+-2

Step-by-step explanation:

(2x+5) + (3x-7)

2x+3x=5x

5-7=-2

5x-2

Answer:

50:75

Step-by-step explanation:

2+3=5

125/5=25

25*2=50

25*3=75

50:75

Hope this helped! :)

Answer:

P(A) = 4/7.

Step-by-step explanation:

Probability it does not occur = 3/7 so probability it does is 1 - 3/7.

P(A) = 1 - 3/7 = 4/7.

Answer:

[tex]Amount = 55440in^3[/tex]

Step-by-step explanation:

Given [Missing piece]

[tex]h = 9in[/tex] --- height

[tex]r = 7in[/tex] --- radius

[tex]n = 120[/tex] --- number of cones

Required

How much foam for 120 cones

First, calculate the volume of 1 cone

[tex]V = \frac{1}{3}\pi r^2h[/tex]

[tex]V = \frac{1}{3} * \frac{22}{7} * 7^2 * 9[/tex]

[tex]V = \frac{1}{3} * 22 * 7 * 9[/tex]

[tex]V = 22 * 7 * 3[/tex]

[tex]V = 462in^3[/tex]

So, the amount of foams needed for 120 is:

[tex]Amount = 120 * V[/tex]

[tex]Amount = 120 * 462in^3[/tex]

[tex]Amount = 55440in^3[/tex]

Answer:

y = 3x + 3

Step-by-step explanation:

m = 3 because the slope rises 3 and runs 1, therefore 3/1 = 3

b = 3 because the y-intercept is (0,3), therefore y-int = 3

y = 3x + 3

Answer: 65

Step-by-step explanation:

Since the mean mark of the 9 students is 50. Their total marks will be:

= 9 × 50

= 450

Since the marks obtained by 8 students are given, we add the marks together and this will be:

= 60+40+50+30+80+40+45+40

= 385

The score of the 9th student will be:

= 450 - 385

= 65

Answer:

1)   19

2)  41

3)  25

4)  22

5)  37

Step-by-step explanation:

The Answers from the box plot are:

1)   19

2)  41

3)  25

4)  22

5)  37

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

From the Box plot we can write

1.The shortest time it took to serve a customer from the box plot is 19.

2. The longest time it took to serve a customer is 41.

3. The median time it took to serve a customer is 25.

4.The first quartile of the restaurant service times is 22.

5. The third quartile of the restaurant service times is 37.

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Answer:

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

Answer:

Step-by-step explanation:

6. 8

7. 21

8. 18