By coincidence, Kimberly's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 9-liter containers while blue paint is sold in 12-liter containers. What is the smallest amount of each paint color the store must have sold?

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Complete Question

Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.

Answer:

a) The number of 13 cent = 14

b) The number of 29 cent = 24

c) The number of 45 cent = 16

Step-by-step explanation:

We are told he has 54 stamps in total.

These stamps are;13 cent, 29 cent, and 45 cent stamps.

Let's

Number of 13 cent = a

Number of 29 cent = b

Number of 45 cent = c

Hence,

a + b + c = 54........... Equation 1

The total value of the 3 stamps are $15.98.

1 cent = $0.01

We have

0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2

We know from the question that:

13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.

Therefore

2(0.13a) + 0.29b + 0.45c = 17.8

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

Combining Equation 2 and 3 together

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

We eliminate b and c by Subtracting Equation 3 from 3

0.13a = 1.82

a = 1.82/0.13

a = 14

a + b + c = 54........... Equation 1

Since a = 14

14 + b + c = 54

b + c = 54 - 14

b + c = 40

c = 40 - b

Substitute 40 - b for c and 14 for a is Equation 2

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98

= 1.82 + 0.29b + 18 - 0.45b = 15.98

Collect like terms

1.82 + 18 - 15.98 = 0.45b - 0.29b

3.84 = 0.16b

b = 3.84/0.16

b = 24

Hence: Solving for c

a + b + c = 54........... Equation 1

14 + 24 + c = 54

38 + c = 54

c = 54 - 38

c = 16

Therefore,

The number of 13 cent = 14

The number of 29 cent = 24

The number of 45 cent = 16

Answer:

you need to show the examples

Step-by-step explanation:

Answer: 0.1 or 1/10

Step-by-step explanation:

Answer:

20

I hope this helps!

Answer:0.00015241579

Step-by-step explanation:

The answer is 17! :D

Have a good day <3

Answer:

There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator

Step-by-step explanation:

9514 1404 393

Answer:

  4x +5y = 25

Step-by-step explanation:

One way to write the equation is ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

  (1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5

  -4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1

  4x +5y = 25 . . . . standard form equation of the line

__

Another way to write the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(5 -0)(x -0) +5

  y = -4/5x +5 . . . . slope-intercept form of the equation of the line

Step-by-step explanation:

2x + 5y = 6

move it = y= -2x+6

the slope is -2

so, the slope is negative

Answer:

Linear.

Step-by-step explanation:

A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!

Answer:

I think it is the second one, flown by women

Step-by-step explanation:

Answer:

25 MP3 downloads

Step-by-step explanation:

If he starts off with $50 then these are the steps

$50 - $1.50 = $48.50 for 1 MP3

$48.50 - $1.50 = $47.00 for 2

$48.50 - $1.50 = $45.50 for 3

then repeat that until we have $12

it doesnt give us exactly $12 but it gives us $12.50 reminder

So he can but 25 MP3 downloads and still have at least $12 remining

Hope this helps plz give me brainliest I worked really hard

Answer:

22.68 or 22.7

Step-by-step explanation:

hope this helps

Answer:

23

My logic:

Well i just rounded up to the nearist one because you didn't specify how to round.

Answer:

[tex]\sqrt{2000}\phantom{a}yards[/tex]

Step-by-step explanation:

For a right triangle, [tex]a^{2} =b^{2} +c^{2}[/tex], if a is the hypotenuse. So, [tex]60^{2} =40^{2} +c^{2}[/tex], and c is the the distance we are trying to find:

[tex]60^{2} =40^{2} +c^{2}[/tex]

[tex]3600=1600+c^{2}[/tex]

[tex]c^{2} =2000[/tex]

[tex]c=\sqrt{2000}\phantom{a} yards[/tex]

Answer:

7)

a. y = 1/3x - 2

b. m = 1/3, b = -2

8.

a. y = -1/3x -5

b. m = -1/3, b = -5

Step-by-step explanation:

7.

2x - 6y = 12

-6y = -2x + 12

y = 1/3x - 2

8.

x + 3y = -15

3y = -x - 15

y = -1/3x -5

c.

Answer: The arrows show the appropriate destination for your dragging.

_____

Combining like terms in the given expression makes it simplify to ...

 (2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

2x -18x +14y -19 = -16x +14y -19 . . . not the same

-2xy -1 . . . not the same

16x +14y -1 . . . not the same

9 -16x +14y -10 = -16x +14y -1 . . . equivalent

-16x +14y -1 . . . equivalent and simplified

2x -18x +14y -1 = -16x +14y -1 . . . equivalent

Step-by-step explanation:

Answer:

all whole numbers

all whole-number multiples of 125

Step-by-step explanation:

The domain and the range of a function is the set of input and output values of the function.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

[tex]\mathbf{y = 125x}[/tex]

The number of tickets cannot be less than 0.

So, the domain of the revenue function is:

[tex]\mathbf{Domain = [0,\infty)}[/tex]

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is:

[tex]\mathbf{Range = [0,\infty)}[/tex]

The above means that, the range is also the set of all whole numbers (in multiples of 125)

Read more about domain and range at:

https://brainly.com/question/1632425

Answer:

3.43 hrs

or

3 13/30

orrrr

103/30

Step-by-step explanation:

Answer:

1,000*31 = 31,000

Step-by-step explanation:

since the first 1000 fans get a ball and each ball costs $31 then u multiply

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.

Answer:

12/9 and 4/3... Hit it in the calculator

Answer:

129.97

Step-by-step explanation:

19.99+29.99+79.99=129.97

Answer:

2nd choice OC.y=-2x+3

Step-by-step explanation:

The equation for the slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. With these two numbers both given to us, we can just plug them in and get y=-2x+3.

Hope this helps you

Answer:

3000 people

Step-by-step explanation:

4% teenagers --> 120 teenagers were there

120/4 means 1% so 30 is 1%

1% times 100 is 100% so 30 times 100 equals 100% so 3000 is 100% of the people at the stadium

Answer:

The answer is DF

Step-by-step explanation:

The opposite side is 4 or EF, so the ADJACENT side would be 3 or DF according to SOH CAH TOA.

Answer:

21 or 23

Step-by-step explanation:

Cuz 22 is in the middle of both.

.-.

Answer:

21 or 23

Step-by-step explanation:

BRAINLIEST PLS

Answer:

3) y = 1/3x - 1

4) y = 2/5x + 0 or just y = 2/5x

5) y = -1x +4

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly