Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge's work is shown below.

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

Hope this helps.

Answer:

y=-1·x+2

Step-by-step explanation:

The histogram and the piechart are graphical ways of representing the relative frequency table of the hundred random household

Start by placing the data in a relative frequency table

Sport                   Frequency  Relative frequency

Football (1)                   35                0.35

Baseball (2)                  21               0.21

Soccer (3)                     12                0.12

Basketball (4)               27                0.27

Other (5)                       5                  0.05

Next, we plot the histogram and the piechart using a graphing calculator

See attachment for the diagrams

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Answer:

806

Step-by-step explanation:

add 2,578-3,384 you have to subtract  that to get our final answer which is 806 that's how many they have left.

Answer:100,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a linear programming question

let the cordless trimmer be X

and the cord type be Y

the objective function is

maximize

36.50x+109.50y=P

constraints

2X+6Y<=600-----1

X+Y=200-----------2

solve 1 and 2 simultanouesly

mutiply  eqn 2 by 2 we have

2x+6y=600-------1

2x+2y=200--------3

subtract the eqns 3 from 1

4y=400

y=100

put y=100 in eqn 2 we have

x+100=200

x=200-100

x=100

36.50x+109.50y=P

36.50(100)+109.50(100)=P

 3650+10950=P

P=$14600

The company should produce

100cordless and 100 cord-type

Answer:

4.35 / 100 = 0.0435

Step-by-step explanation:

We find it useful to convert 4.35% to decimal, because if you need to find 4.35% of any number, you can simply multiply that number with 0.0435.

Answer:

5.75x = f(x)

22.99 + 2.09x = g(x)

Step-by-step explanation:

Divide them into two parts:

Normal drinks and commemorative drinks

- With normal, only $5.75 is related (Only one drink at a time so 5.75x)

- With commemorative, $22.99 and $2.09 are related (A one time fee of $22.99, then a refill of $2.09; so 22.99 + 2.09x)

Answer:

20 cakes were sold

Step-by-step explanation:

I assume the question is how many cakes did they sell

set up equation

$5 per cake equals $100

5x = 100

divide both sides by 5

5x ÷ 5 = 100 ÷ 5

1x = 20

x = 20

Answer:

19

Step-by-step explanation:

The first thing is recognize that it is a rectangle and two triangles with given bases and heights.

So the first step is finding the area of both triangles, which you can do with the formula for the area of a triangle:

A = (BH)/2

Because the height is two, the area is going to be equal to the base.

The sum of the two triangles is 7.66.

Next you want to find the area of the rectangle, you can do so using the formula:

A = BH

A = 6(2)

The area of the rectangle is 13.

Find the sum of the areas of the three shapes.

3.30 + 4.36 + 12 = 19.66

Answer:

Rs 6720.

Step-by-step explanation:

Given,

Perimeter of room ( P ) = 14m

Height of room ( H ) = 4m

Area of 4 wall = 2 × 14 ×4

= 112m sq.

Now,

Cost = 112 × 60

= Rs 6720.

Answer:

180

Step-by-step explanation:

they are vertical angles

Answer:

A) 108

B) C virtical opisite angles

Step-by-step explanation:

Answer:

[tex]\frac{25}{16}[/tex]  

I hope this helps!

Answer:

I think your answer is ab.

I think it will help you.

The other factor of the polynomial [tex]\rm x^2+8x+15[/tex]  is  ( x + 3 )

It is given that the polynomial [tex]\rm x^2+8x+15[/tex] has one factor that is [tex]\rm (x+5)[/tex].

It is required to find another factor of the above polynomial.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have a polynomial of degree two:

[tex]\rm = x^2+8x+15[/tex]

By using the factorization method we get:

[tex]\rm = x^2+8x+15\\\rm = x^2+3x+5x+15\\\rm = x(x+3)+5(x+3)\\\rm = (x+3)(x+5)\\[/tex]

Thus, the other factor of the polynomial [tex]\rm x^2+8x+15[/tex]  is  ( x + 3 )

Learn more about Polynomial here:

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Answer: (x + 3) or A!

Step-by-step explanation:

have a nice eday.

correct on edge 2023

[tex]\begin{array}{ccll} lbs&\$\\ \cline{1-2} 1 & 3.98\\ 0.6& x \end{array} \implies \cfrac{1}{0.6}=\cfrac{3.98}{x}\implies x \approx 2.39[/tex]

Answer:

$8.50

Step-by-step explanation:

Set to $76.50:

76.5 = 9h

divide by 9

8.5 = h

He worked 8 and a half hours

Answer:

35000

Step-by-step explanation:

multiple the the cards per shipment by the number of shipments

7000x 5

=35000

Answer: Ok I have two ways for this

1. If you mean how many will there be for each shipment: 1,400

If you mean how many will there be for 5 shipments since there is 7,000 each shipment then 35,000

Step-by-step explanation:

1. 7,000 ÷ 5

2. 7,000 x 5

Answer:

The card is 6 centimeters long.

Step-by-step explanation:

This is relatively easy. Just divide Area / Width since A = L x W

48 / 8 = 6

Answer:

$294

Step-by-step explanation:

Garden table = x

bench = x-91

x + (x-91) = 659

2x = 750

x= 375

375 - 91 = 284

Answer:

6

Step-by-step explanation:

the area is six lol yep that's it

Answer:

6 m

Step-by-step explanation:

Multiply the short side by the long side. 2*3=6

Answer: Well 6 / 2(1+2) = 9

and 814 x 407 = 331,298

Step-by-step explanation:

Answer:

86%

Step-by-step explanation:

86+14=100

Since 100 is a very common percentage number, then 86% of people voted, and 14% did not.

Hope this helps! :)

Have a please day and remember to keep smiling! :)

Can I please have brainliest? I really want to level up

Answer:

Many solutions

Step-by-step explanation:

If it is manipulated, you simply get:

2x + 2x + 2 = 4x + 2

0 = 0

So, there are infinitely many solutions, as anything you plug in for x will be canceled as there are 4 x's on both sides.

Answer:

Stephen Talked for 138 minutes.

Step-by-step explanation:

(0.10)m + 10.00 = 23.80         Given

              -10.00   -10.00      

            (0.10)m = 13.80          Subtraction Property of Equality

              /0.10       /0.10        

                      m = 138             Division Property of Equality

Answer: Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.

Stephan talked for ✔ 138 minutes.

The simplest form of w : x : y : z will be;

⇒ w : x : y : z = 20 : 30 : 9 : 1

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Olivia and Jessica have in total half as many sweets as Fran and Gary have in total.

Now,

Let Fran got w sweets.

Gary got x sweets.

Olivia got y sweets.

Jessica got z sweets.

So, We get;

⇒ (y + z) = 1/2 (x + w)    ..(i)

Here, w = 2a and x = 3a

And, y = 9b and z = b

Substitute in equation (i), we get;

⇒ (y + z) = 1/2 (x + w)    

⇒ (9b + b) = 1/2 (2a + 3a)  

⇒ 10b = 1/2 (5a)

⇒ 20b = 5a  

⇒ 10b = a

So, w = 20b and x = 30b

Or, w : x = 20b : 30b

So, w : x: y: z = 20b : 30b : 9b : b

                     = 20 : 30 : 9 : 1

Thus, The simplest form of w : x : y : z will be;

⇒ w : x : y : z = 20 : 30 : 9 : 1

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Assignment: Type one to two paragraphs that describe your models and relate them to the law of conservation of mass. Your document should:

Identify the names of the reactants and products in the reaction.

Identify the number of molecules that make up the reactants and products.

Identify the type and number of atoms in each molecule of the reactants and products.

Explain what happens during the chemical reaction.

Explain how mass is conserved during the chemical reaction

The name of the reactant in this reaction is called Calcium Carbonate (CaCO3) and the products in this reaction are Calcium Oxide (CaO) and Carbon Dioxide (CO2). There are 5 atoms total in calcium carbonate: one calcium atom, one carbon atom, and 3 oxygen atoms. In calcium oxide there are 2 atoms total: one calcium atom and one oxygen atom. In carbon dioxide there are 3 atoms total: one carbon and two oxygen atoms. So in the reaction the mass of the products stayed the same because according to the law of conservation, “in a closed or isolated system, matter cannot be created or destroyed. It can change forms but is conserved.” This can be seen in the reaction because no matter was made or destroyed, it was all just rearranged. To further explain, the law of mass conservation in chemistry states that, “in a chemical reaction, the mass of the products equals the mass of the reactants,” which further proves that no matter was created or destroyed, just rearranged. In conclusion, in the reaction the products had the same number of atoms as the reactant because no matter was destroyed or created, simply rearranged to create new products!