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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

To solve more questions on equation modelling, visit the link below-

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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:

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: 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:

(-1, 4)

Step-by-step explanation:

From the graph we see that;

At x = 0, y has a value of 1

At x = 2, y has a value of 1

At x = 1, y has a value of 0

At x = -1, y has a value of 4

Looking at the given options, the only ordered pair that corresponds to a correct reading on the graph as earlier observed is; (-1, 4)

Answer:

no

no

yes

Step-by-step explanation:

Answer:

-2, -1

Step-by-step explanation:

So moving left would affect the x-axis.

Left would move it to the negatives so -1 - 1 = -2.

Moving up would affect the y-axis.

Up would move towards the positive so -5 + 4 = -1.

-2, -1

Answer:

(-6,-9) , (0,0) and (3,-6)

Step-by-step explanation:

Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis

By dilating by a factor of 3, we multiply each term by 3

We have the following;

A’(-6,9) B’(0,0) and C’ (3,6)

Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)

So the vertices will be as follows;

(-6,-9) , (0,0) and (3,-6)

Answer: She had 19 incorrect answers

Step-by-step explanation:

n = number of incorrect answers at 4 points per answer

110 = 148 - 2n

Solve for n

n = (148 - 110)/2 = 19

Answer:

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

Step-by-step explanation?

Answer:

third option both cost the same after 2 months

Answer:

900

Step-by-step explanation:

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

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:

x  

4

−5x  

2

+4

To factor the expression, solve the equation where it equals to 0.

x  

4

−5x  

2

+4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

4

−5x  

2

+4 by x−1 to get x  

3

+x  

2

−4x−4. To factor the result, solve the equation where it equals to 0.

x  

3

+x  

2

−4x−4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=−1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

3

+x  

2

−4x−4 by x+1 to get x  

2

−4. To factor the result, solve the equation where it equals to 0.

x  

2

−4=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

​  

. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.

x=  

2

0±  

0  

2

−4×1(−4)

​  

​  

Do the calculations.

x=  

2

0±4

​  

Solve the equation x  

2

−4=0 when ± is plus and when ± is minus.

x=−2

x=2

Rewrite the factored expression using the obtained roots.

(x−2)(x−1)(x+1)(x+2)

Answer:

35

Step-by-step explanation:

if GFL = 34 and GEL = 36 FLG would be 35

Answer:

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

Hope this helps! :)

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)

Answer: x = 5

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

D, is the correct answer!!

Step-by-step explanation:

Answer:

What is your question?

Step-by-step explanation:

Answer:

x=81.2

Step-by-step explanation:

Answer:

divide, or write and equation and solve it

Step-by-step explanation:

Answer:

Hope it can help you .......

Mark me as a brainlist and follow me.....

It is difficult to determine whether the sample of desserts that Wendy tasted is representative of all desserts from the county's bakeries without additional information.

First, it depends on the total number of bakeries in the county. If there are only a few bakeries, Wendy's sample of 12 desserts from each bakery may not be enough to accurately represent all the desserts in the county. On the other hand, if there are many bakeries, and Wendy tasted 12 desserts from each one, then her sample may be more representative.

Secondly, it is important to consider how the bakeries were selected. If Wendy only tasted desserts from certain types of bakeries or only in certain areas of the county, her sample may not be representative of all the county's bakeries.

Therefore, without more information on the total number of bakeries in the county and the selection process, it is difficult to determine whether Wendy's sample of desserts is representative of all the desserts from the county's bakeries.

To learn more about sample here:

https://brainly.com/question/12496604

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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:

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: 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:

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

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:

equation: 10 + 0.05x=22

Step-by-step explanation:

the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.

9514 1404 393

Answer:

  equation: 10 +0.05m = 22

  solution: Bob used 240 minutes in July

Step-by-step explanation:

Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...

 10 + 0.05m = 22 . . . . . total of charges for July is $22

__

The equation is solved by subtracting the constant and dividing by the coefficient of m.

  0.05m = 12 . . . . . subtract 10

  m = 12/0.05 = 240

Bob used 240 minutes in July.

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)