Kelly is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for
a booth at the fair, and the materials for each box of cards cost $3. She will sell the cards for
$7 per box of cards. At some point, she will sell enough cards so that her sales cover her
expenditures. How many cards will that take?
Write a system of equations, graph them, and type the solution.
50
40
30
Dollars ($)
20
10

Answer:

[tex]y=-\frac{3}{2} x+3[/tex]

Step-by-step explanation:

The slope (m) is [tex]-\frac{3}{2}[/tex] by finding the rise (the change in y ⇒ ∆y), over the run (the change in x ⇒ ∆x) from any two points from the line. In this case, the rise is -3, and the run is 2 OR you can say that the rise is 3, and the run is -2.

The y-intercept (b) is 3 because it’s where it intersects the y-axis. If you see the image, you can see that the line intersects the y-axis at the point (0, 3). So, the y-intercept (b) is 3.

Put it all together in Slope-intercept form, which is y=mx+b. So the m (slope) is [tex]-\frac{3}{2}[/tex] and the b (y-intercept) is 3. Plug those in to get: [tex]y=-\frac{3}{2} x+3[/tex]

Hope this helps! :)

Answer:

$22.5

Step-by-step explanation:

25% of $90

25% x 90

0.25 x 90

$22.5

Answer:

x = 22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

other angle that is not x is 180-134= 46 degrees

180-(46+112)=x

180-158=x

22=x

Answer:

So, lets say the refridgerator started at 37 degrees F alright?

Step-by-step explanation:

37 - 4 = 33

33 + 2 = 35

35 - 7 = 28

28 - 1 = 27

27 + 3 = 30

30 + 1 = 31

So the final temurature at 2:00pm would be 31 degrees F

Hope this helped :)

Answer:

(-2, -12), (0, 2), (2, 16), (4, 30)

Step-by-step explanation:

Input: -2

y = 7x + 2

y = 7(-2) + 2

y = -14 + 2

y = -12 (Output)

Input: 0

y = 7x + 2

y = 7(0) + 2

y = 0 + 2

y = 2 (Output)

Input : 2

y = 7x + 2

y = 7(2) + 2

y = 14 + 2

y = 16 (Output)

Input: 4

y = 7x + 2

y = 7(4) + 2

y = 28 + 2

y = 30 (Output)

Answer:

180 degrees

Step-by-step explanation:

Answer:

8 pounds

Step-by-step explanation:

3 ft board = 2lb

12 ft board is 4 times more so

2x4 = 8 lb

Given:

Point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5.

To find:

The rule and coordinates of A'.

Solution:

Let a point be P(x,y).

If a point translated 3 units horizontally and -5 units vertically, then

[tex]P(x,y)\to P_1(x+3,y-5)[/tex]

Then, rotated 90° clockwise.

[tex](x,y)\to (y,-x)[/tex]

[tex]P_1(x+3,y-5)\to P_2(y-5,-(x+3))[/tex]

Then, reflected over the x-axis.

[tex](x,y)\to (x,-y)[/tex]

[tex]P_2(y-5,-(x+3))\to P_3(y-5,x+3)[/tex]

Dilated by a factor of 5.

[tex](x,y)\to (5x,5y)[/tex]

[tex]P_3(y-5,x+3)\to P'(5(y-5),5(x+3))[/tex]

[tex]P_3(y-5,x+3)\to P'(5y-25,5x+15)[/tex]

So, the rule of transformation is

[tex](x,y)\to (5y-25,5x+15)[/tex]

We have a point A(4,-3). So, put x=4 and y=-3.

[tex]A(x,y)\to A'(5(-3)-25,5(4)+15)[/tex]

[tex]A(x,y)\to A'(-15-25,20+15)[/tex]

[tex]A(x,y)\to A'(-40,35)[/tex]

Therefore, the coordinate of point A' are (-40,35).

Answer:

0.857 weeks

Step-by-step explanation:

Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...

M = 35 + 15x

A = 5 + 50x

Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money

35 + 15x = 5 + 50x  ... subtract 5 and 15x from both sides

30 = 35x  ... divide both sides by 35

[tex]\frac{30}{35}[/tex] or 0.857 = x

Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.

*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***

We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.

2 snacks= $8

What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4

1 snack= $4

Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:

32 - 8= 24

3 tickets= $24

Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:

1 ticket= $8

Therefore, snacks are $4 and movie tickets are $8

Thank you! Btw can i please get brainly :3

Answer:

29

Step-by-step explanation:

I subtracted 65 from 36 since the question only gave me 2 numbers and a variable to use.

Step-by-step explanation:

c = 65 - 36

c = 29

C is 29 that is the answer

Answer:

y=-3/4x+5.5

Step-by-step explanation:

Answer:

18 square centimeters

Step-by-step explanation:

To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.

Answer:

9 cm

Step-by-step explanation:

Area is length x width

3 cm x 3 cm = 9 cm

But if you are doing the problem from the picture it is

A = 6 cm x 3 cm

= 18 cm

Answer:

The difference $2.733.30

Step-by-step explanation:

Let the total money be x

The remaining money will be (x-1400)

40% of this on a bed

= 40/100 (x-1400)

= 0.4(x-1400)

cost of bed is 25% of x

Thus;

0.4(x-1400) = 25/100 * x

0.4(x-1400) = 0.25x

0.4x - 560 = 0.25x

0.4x-0.25x = 560

= 0.15x = 560

x = 560/0.15

So the difference between the tv and. bed, will be ;

560/0.15 - 1400

= (560-210)/0.15 = $2,333.33

Answer:

the answer is 12k²r¹⁴.........

Answer:

81

Step-by-step explanation:

area of top triangle = 1/2 x 8 x 9 = 36

area of rhombus = 9 x 5 = 45

sum of areas = 81

Answer:

c = 88

Step-by-step explanation:

c/88 = 44/19

19×c = 44×38

19c = 1672

c = 88

Answer:

multiply -7 by 6x and then multiply-7 by 7

-7(6x)-7(7)

-42x-49=-133

+49. +49

the 49 cancel out

-42x=-84

divide both sides by -42

-42x/-42=-84/-42

the -42 cancel out

leaving x=2 the negatives cancel out making it positive

Answer:

30%

Step-by-step explanation:

lol

Answer:

The answer to this problem would be 30%

Step-by-step explanation:

I had this exact problem, and I got it correct......

9514 1404 393

Answer:

  4

Step-by-step explanation:

The least common multiple of 13 and 21 is 274, so the number of interest will be 10 less than that. The value in the given range is ...

  2(274) -10 = 536

We are interested in the remainder from 536/19, which is 4.

__

536 = 13·41 +3 = 21·25 +11 = 19·28 +4

Responder:

$ 131.25

Explicación paso a paso:

Dado que :

Importe pagado tras sucesivos descuentos del 10% y 20%

Sea el costo original = x

Importe final tras ambos descuentos = 94,5

Primer descuento = (1 - 0.1) x = 0.9x

Segundo descuento: (1 - 0.2) de 0.9x = 0.8 de 0.9x = 94.5

Es decir ; 0,8 * 0,9x = 94,50

0,72x = 94,50

Dividir ambos lados por 0,72

0,72x / 0,72 = 94,50 / 0,72

x = 131,25

Por lo tanto, precio original = $ 131.25

Answer:

[tex]given \\ \frac{ {(y + 1)}^{5} }{(y + 1) ^{3} } \\ as \: they \: have \: same \: base \\ {(y + 1)}^{5 - 3} \\ = (y + 1) ^{2} \\ or \: we \: can \: write \\ = (y + 1)(y + 1) \\ \\ hope \: it \: helps.[/tex]

Answer:

The answer is  [tex]y^2+2y+1[/tex]

Explanation:

- Properties of Exponent -

[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Our a is y+1

Our m is 5

Our n is 3

[tex]\frac{(y+1)^5}{(y+1)^3}=(y+1)^{5-3}\\(y+1)^2[/tex]

- Multiply The Polynomial -

As for the Quadratic Polynomial and being squared, we use the following formula:

[tex](x+y)^2=x^2+2xy+y^2[/tex]

Our x is y

Our y is 1

Thus,

[tex](y+1)^2=y^2+2(y)(1)+1^2\\(y+1)^2=y^2+2y+1[/tex]

As our simplified, multiplied form is [tex]y^2+2y+1[/tex]

Answer:

k = 4

Step-by-step explanation:

The formula for binomial probability distribution is;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

Where C(n, k) is the number of possible ways that n number of people choose k.

While p is probability of success

In this question, 20 children want to choose from 4 toys namely tricycle, blocks, a train set, and puzzles.

This means that from binomial probability distribution formula, n = 20 and k = 4.

Answer:

1) £2 = €2.32

£5 = €5.80

£50 = €58

2) The graph will be a straight line

3) (0, 0)

4) Label the independent variable, £ on the x-axis and dependent variable € on the y-axis

Step-by-step explanation:

1) The given conversion factors is £1 = €1.16

Therefore;

£2 = 2 × €1.16 = €2.32

£2 = €2.32

£5 = 5 × €1.16 = €5.80

£5 = €5.80

£50 = 50 × €1.16 = €58

£50 = €58

2) The shape of the plot of the directly proportional currencies graph will be a straight line

3) Given that the £ is directly proportional to the € and that the value of the € can be found directly by multiplying the amount in £ by 1.16, without the addition of a constant, the graph crosses the axes at the origin (0, 0)

4) The y-axes which is the dependent variable should be labelled €, while the x-axis which is the independent variable should be labelled £

Answer:

11

Step-by-step explanation:

You would start by subtracting $30 from $151 which is $121.

Then you would divide this by 11 which 121÷11=11

So 11 test were bought.

Answer:

184

Step-by-step explanation:

hope this helps!! :D

Answer:

When x=2, both expressions have a value of 18.

The expressions have equivalent values for any value of x.

The expressions have equivalent values if x=8

Step-by-step explanation:

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1

When x = 2, both expressions have a value of 18.

7x + 4

= 7(2) + 4

= 14 + 4

= 18

3x + 5 + 4x - 1

3(2) + 5 + 4(2) - 1

6 + 5 + 8 - 1

= 18

The expressions are only equivalent for x = 4 and x = 6.

• This is not true because the expression is also equivalent for x = 2

The expressions are only equivalent when evaluated with even values.

When x = 1

7x + 4

7(1) + 4

= 7 + 4

= 11

3x + 5 + 4x - 1

3(1) + 5 + 4(1) - 1

3 + 5 + 4 - 1

= 11

The expressions have equivalent values for any value of x.

Yes, it has an equivalent value at any value of x

The expressions should have been evaluated with one odd value and one even value.

When x = 0, the first expression has a value of 4 and the second expression has a value of 5.

7x + 4

7(0) + 4

= 0 + 4

= 4

3x + 5 + 4x - 1

3(0) + 5 + 4(0) - 1

0 + 5 + 0 -1

= 4

The expressions have equivalent values if x = 8.

7x + 4

7(8) + 4

56 + 4

= 60

3x + 5 + 4x - 1

3(8) + 5 + 4(8) - 1

24 + 5 + 32 - 1

= 60

Answer:

1,4,7

Step-by-step explanation: