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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

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Answer:

s = -1

r = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2r + 8s = -4

7r = -6s + 8

Step 2: Rewrite Systems

2r + 8s = -4

Step 3: Redefine Systems

-7r = 28s + 14

7r = -6s + 8

Step 4: Solve for s

Elimination

Step 5: Solve for r

Answer:

r = 2, s = - 1

Step-by-step explanation:

Given the 2 equations

2r + 8s = - 4 → (1)

7r = - 6s + 8 ( add 6s to both sides )

7r + 6s = 8 → (2)

Multiplying (1) by 7 and (2) by - 2, then adding will eliminate the r- term

14r + 56s = - 28 → (3)

- 14r - 12s = - 16 → (4)

Add (3) and (4) term by term to eliminate r , that is

44s = - 44 ( divide both sides by 44 )

s = - 1

Substitute s = - 1 into either of the 2 equations and solve for r

Substituting into (1)

2r + 8(- 1) = - 4

2r - 8 = - 4 ( add 8 to both sides )

2r = 4 ( divide both sides by 2 )

r = 2

solution is r = 2 , s = - 1

Answer:

11y

Step-by-step explanation:

The answer is 11y because is kinda like adding. You add 6 + 5 which is 11 and then you just convert the y so its 11y

Answer:

no

Step-by-step explanation:

57 isnt a prime number

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

∴ The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

∴ The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

∴ 4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

∴ 1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

∴ 1.50x = 3

→ Divide both sides by 1.50

∴ x = 2

∴ The person would have to play 2 games for the two bowling alleys to

   cost the same amount

Answer:

yes

Step-by-step explanation:

because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.

Answer: x = 5

Step-by-step explanation:

Answer: 111.6 meters

Step-by-step explanation:

Since there are 8 hurdles that are spaced 12.3 meters apart, the number of meters here will be:

= 7 × 12.3 meters

= 86.1 meters

We are further told that there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line.

The length of the race will be:

= 86.1 + 15 + 10.5

= 111.6 meters

Answer:

The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Hope this helps

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Answer:

Step-by-step explanation:

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Answer:B

Step-by-step explanation:

Answer:

D, is the correct answer!!

Step-by-step explanation:

Answer:

67.938 =

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Step-by-step explanation:

Here, we want to write the given number in expanded form

Mathematically that will be ;

60 + 7 + 0.9 + 0.03 + 0.008

Using the power of 10, that will be;

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.

Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.

As per the given graph,

Triangle GHI and triangle DEF are plotted.

If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.

And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.

Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".

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Answer:

Deon spent 60% of his money on lunch.

Step-by-step explanation:

Answer: (13 + y) / 5

Step-by-step explanation:

Since Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters, the total jewellery given to the sisters will be:

= 13 + y

Since there are 5 Carlson sisters, the number of pieces of jewelry that each sister receive will be:

= Total jewelries / Number of sisters

= (13 + y) / 5

Answer:Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces, so the sisters received a total of 13+y13+y13, plus, y pieces of jewelry.

The sisters divided the 13+y13+y13, plus, y pieces of jewelry evenly among themselves, and there were 555 sisters. So each sister received \dfrac{13+y}{5}

5

13+y

​

start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.

Each sister received \dfrac{13+y}{5}

5

13+y

​

start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.

8n - 32 + 5m + 33 - 3

8n-32+5m+30

8n-32+30+5m ( rearranging)

8n-2+5m

answer:

5m+8n-2 or 8n+5m-2

Answer:

[tex]8n+5m-2[/tex]

Step-by-step explanation:

Simplify the expression by combining like terms:

[tex]-32+33-3\\\\1-3\\\\-2[/tex]

Insert:

[tex]8n+5m-2[/tex]

:Done

Answer:

18/56

Step-by-step explanation:

Answer:

18/56

Step-by-step explanation:

9/28= 18/56

for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28

Step-by-step explanation:

=9.8-6.4n

just add them together as easy as that

Answer:

3 cups = 709.77 milliliters

Step-by-step explanation:

Cup : milliliters

1 cup : 236.59 milliliters

3 cups : x milliliters

Equate both ratios

1 / 236.59 = 3 / x

Cross product

1 * x = 236.59 * 3

x = 709.77 milliliters

Therefore,

3 cups = 709.77 milliliters to the nearest hundredth

Answer:

240

Step-by-step explanation:

3^5 - 5 + 6

243 - 5 = 238+6= 244

240?

Answer:

The graph below shows the graph of 3x - y = 1.

Hope this helps! :)

Answer:

365 degrees :)

Step-by-step explanation:

It's a multiple of 5, but with no zeros, so that means the ones place is 5. The hundreds place is two less than 5, so that's 3. And the tens place is two times the 3, so that gives you 365!  

Answer: 365

Step-by-step explanation: hope this helps bud

Answer:

Jen's speed = 135 miles per hour (Approx)

Kamlee's speed = 134 miles per hour (Approx)

Step-by-step explanation:

Given:

Jen walk = 45 miles

Jen's time = 20 min = 20/60 = 0.333 hour

Kamlee walk = 56 miles

Kamlee's time = 25 min = 25/60 = 0.416667 hour

Find:

Speed

Computation:

Jen's speed = 45 / 0.333

Jen's speed = 135 miles per hour (Approx)

Kamlee's speed = 56 / 0.416667

Kamlee's speed = 134 miles per hour (Approx)

Answer:

What is your question?

Step-by-step explanation:

Answer:

x=81.2

Step-by-step explanation:

Answer:

A. 70/100 shows 70% as a ratio...

Step-by-step explanation?

Answer:

D good luck :) also have a great day

Answer: y=-4x+5

Step-by-step explanation:

Answer:

y=-4x+5

Step-by-step explanation:

1. Find the slope by counting downward and over from one point to another point.  Let's start from (-2,13) and go down to (0,5)

If you are worried about miscounting, you could also use the slope formula which is y2-y1/x2-x1

5-13/0--2

= -8/2

The slope is -4.

2. FInd where the line crosses the y-axis to get the y-intercept. Here it crosses it at 5.

3. Write the equation on slope-intercept form, which is y=mx+b where mx represents the slope and b represents the y-intercept.

y=-4x+5

Answer

Solving for F

F=8 2/3, 8.6

Answer:

900

Step-by-step explanation:

434+285+176 is 895,895 to the nearest hundred is 900