Using your academic vocabulary and writing at least 5-7 sentences, give the (x, y) solution to the system and explain how to
solve it using the SUBSTITUTION METHOD. If your explanation uses any other method (graphing calculator or linear combination), you will not receive credit for this writing assignment.

y - 3x + 7

5x-y-5

The window width in the blueprint is 1.5 in.

As per the given question-

A window in the room measures 2. 5 feet in width.

The given scale is-

Blue print (inches) : original (feet)

3 in : 5 ft

Divide both side by 2

1.5 in : 2.5 ft

Window's width in Blue print (inches) = 1.5 in.

As a result, the window width in the blueprint is 1.5 in.

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The polynomial f(x) = 2x³ + ax² + bx + 6 is exactly divisible by 2x - 3. The values of a and b are a = 131/27 and b = -71/9

To solve the problem, use the polynomial remainder theorem. If a polynomial f(x) is divided by a linear function with zero x = a, then the remainder r = f(a).

The given polynomial is:

f(x) = 2x³ + ax² + bx + 6

- The polynomial is exactly divisible by (2x-3) means:

f(3/2) = 0

2. (3/2)³ + a(3/2)² + b(3/2) + 6 = 0

27 + 9a + 6b + 24 = 0

9a + 6b = - 51 (equation 1)

- f(x) divided by (x+3) has remainder -28

f(-3) = -28

2. (-3)³ + a(-3)² + b(-3) + 6 = -28

9a - 3b = 20  (equation 2)

Substract equation 2 from equation 1

9a + 6b = -51

9a - 3b =  20 _

      9b = -71

         b = -71/9

9a - 3(-71/9) = 20

9a = 131/3

a = 131/27

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The overall budget the Mr Hollis has is $12800.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Mr.Hollis determines that he gives away 800 each month and the fraction is 1/6 of his budget.

The value of the overall budget will be illustrated as x.

Therefore 1/16 × x = 800

x / 16 = 800

x = 16 × 800

x = 12800

Hollis has $12800 as budget.

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Answer:

12=b

Step-by-step explanation:

2b+7=3b-4 is what your gonna do ti solve the problem because both segments have the same length. Then you solve for b by -2b from each side. Then it will become 7=b-4. Add 4 to the seven to get 12=b

Answer: check the image attached

Step-by-step explanation:

Hope this helps

Answer:

Just point the graph on Y=33x+0

Step-by-step explanation:

There's no B or starting point, so you would just plant the point on 0,33

Answer:

Corinna will have to run at 7 meters per second to get there at the same time as Deanna.

Step-by-step explanation:

So to find the distance of Deanna's route, you can use the Pythagorean theorem.

a^2 + b^2 = c^2

60^2 + 80^2 = 10000

c^2 = 10000

Take the square root of both sides.

c = 100

So Deanna runs 100 meters at 5 meters per second.

100/5 = 20

She runs for 20 seconds.

To find Corinne's distance, we add 60 and 80, which is 140.

To find how fast she need to run to get there in 20 seconds, you divide 140 by 20, which gets 7 (meters per second). You can also think of it like this: to run 140 meters in 20 seconds, she has to run at 140 meters per 20 seconds, which you can simplify (like a fraction) to 7/1, or just 7

Answer:

[tex] \frac{ {m}^3{} }{25} [/tex]

Step-by-step explanation:

that is the answer

Answer: 0.86 pounds of fruit

Step-by-step explanation:

8.3-7.44=0.86

Answer:

7 is correct.

There are 4 small triangles, 2 medium-sized triangles, and 1 large triangle.

After using the probability distribution table, the given table does not show a probability distribution. The statement 1 is correct.

In the given question, we have to check which statement is correct regarding to the given option.

The given statements are:

(1) This table does not show a probability distribution.

(2) This table shows a probability distribution.

Before checking the statement we learn about a probability distribution table.

In a probability distribution table every result of a statistical experiment is connected to the likelihood that the result will actually occur. An experiment's result is recorded as a random variable, which is typically written with a capital letter.

As we can see that there is given the probability of having the blue, green, yellow and red color.

So the given table does not show a probability distribution.

So the statement 1 is correct.

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The number of days that it will take to sell his box of 35 is 21 days.

Ratio simply demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, Nigel is selling candy bars for his outdoor club and he is averaging 4 bars every 3 days.

Let the number of days be x.

This will be:

3/x = 4/35

Cross multiply

4x = 3 × 35

x = (3 × 35)/4

x = 105 / 4

x = 21

It will take 21 days

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Answer:

Peni will need a total of $17.90

Step-by-step explanation:

$1.20 x 7 = $8.40

$0.50 x 5 = $2.50

$1.00 x 7 = $7.00

$8.40 + $2.50 + $7.00 = $17.90

Answer:

yes it is???

Step-by-step explanation:

(a) The nth term of the sequence is given by A(n)=195 + (n - 1)10.

(b) The 12th term of the sequence is A(12) = 305.

One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...

The term "finite arithmetic progression" or "arithmetic progression" refers to a limited segment of an arithmetic progression.

A mathematical sequence has the following structure: a, a+d, a+2d, a+3d, etc., up to n terms. The initial term is a, the shared distinction is d, and n is the total number of words. Find the AP, the first term, the number of terms, and the common difference for the computation using the arithmetic sequence formulae. To determine the nth term, sum, or common difference of a given arithmetic sequence, many formulae related to arithmetic series are utilized.

A(n)=195+(n-1)10

The given arithmetic sequence is 195, 205, 215, 225,.....

The first term a =195

The common difference d= 205-195

d =215-205

d =225-215

So, d = 10

(a) The nth term is given by

A(n)=a+(n-1)d

A(n)=195+(n-1)10

(b) For n=12, the 12th term is given by

A(12)=195+11(10)

A(12)=305

Therefore, A(n)=195+(n-1)10

And A(12)=305

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The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.

Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.

In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.

Therefore, the correct option is A.

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Complete question

Which statement best analyzes the role this event plays in The Necklace plot?

“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”

It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

It is the climax of the story since the reader is most excited at this point.

It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.

It serves as the falling action because it shows that Mathilde will have to get used to her place in life.

The length of the shorter piece is 33 inches.

According to the question,

We have the following information:

A 132 ​-inch is cut into two pieces. One piece is three times the length of the other.

Now, let's take the length of the shorter piece to be x inches and the length of another piece will be 3x inches.

Now, we have the following expression:

x+3x = 132

4x = 132

4 is in multiplication on the left hand side. So, it will be in the division on the right hand side.

x = 132/4

x = 33 inches

Hence, the length of the shorter piece is 33 inches.

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Answer:

No

Step-by-step explanation:

The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.

34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.

34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).

The discrete and continuous random variables are-

a) Discrete; (b) Continuous; (c) Discrete; (d) Continuous; (e) Discrete; (f) Continuous

(a) So because number of new accounts is counted, (a) discrete (like, non-negative integers).

(b) Continuous, given that the interval between customer arrivals may have decimal values (like 2.9 minutes or 27.75 seconds).

(c) Because the quantity of clients is counted, (c) discrete (like, non-negative integers).

(d) Continuous, as the fuel consumption can have decimal values (like 15.5 gallons).

(e) Since this number of minorities is counted, (e) discrete (like, non-negative integers).

(f) Continuous since the outdoor temperature can be expressed in decimal degrees (e.g., 7.78 C).

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The Equation of line is y= -1/3x + 5/3

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

x-intercept = (3,0) and y-intercept =  (0,1).

slope, m= 0-1/ 3-0= -1/3

so, The slope-intercept form of the equation of a line is

y= mx + b

y= -1/3x +b

Now, the passes through (-1, 2) we get

2= -1/3(-1) + b

2- 1/3= b

b= 5/3

So, the Equation of line is y= -1/3x + 5/3

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Answer:

Step-by-step explanation:

it help by showinbng thta

Dora solved the equation.

She multiplies 4 inside the bracket. But she fails to know that 4× -1 = -4. Instead she multiplied that 4×-1 = -41. This is her first mistake.

In the second step, she shifted -41 to the right side in order to find the value of x. As -41 gets shifted to right side , -41 becomes +41 and added with +11 to get 52. which is totally a wrong method.

Step-by-step explanation:

Here is the exact method of solvation.

[tex]{ \blue{ \bold{4(x - 1) = 11}}}[/tex]

[tex]{ \blue{ \bold{4x - 4 = 11}}}[/tex]

[tex]{ \blue{ \bold{4x = 11 + 4}}}[/tex]

[tex]{ \blue{ \bold{4x = 15}}}[/tex]

[tex]{ \blue{ \boxed{ \red{ \sf{x = \frac{15}{4}}}}}} [/tex]

Main answer:

a) 18 millions of dollars/year

b) 6 millions of dollars/year

Step-by-step explanation:

a) the average rate of change of annual sales between 2001 and 2002 millions of dollars/year

Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)

                     = (417 - 399) / (2001 - 2002)

                     = 18 / 1

                     = 18 millions of dollars/year

b) the average rate of change of annual sales between 2001 and 2006 millions of dollars/year

Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)

                      = (369 - 399) / (2006 - 2001)

                      = 30 / 5

                      = 6 millions of dollars/year

The average rate of change of annual sales between 2001 and 2002 is 18 millions of dollars/year ,  between 2001 and 2006 is 6 millions of dollars/year

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Answer:

360 sq feet

Step-by-step explanation:

The width of the room is given in the question, 12 feet.

We don't know the length. Let's call the length x.

x = length

We were also given the perimeter, 81, that's the distance around the sides...

all the sides added up.



Use x for the long wall.

Use x-3 for the wall with the door in it.

x + 12 + x-3 + 12 = 81

combine like terms

2x + 21 = 81

subtract 21

2x = 60

divide by 2

x = 30

The room is 30 feet long by 12 feet wide.

Area =

length × width

= 30 × 12

= 360

The area of the room is 360sq feet.

The equation which represents the price of the ticket after the discount is y = 0.25x.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that the movie theatre is giving a discount of 75% the original cost of the ticket is x and discounted cost is represented by the variable y.

The equation for the cost of the ticket will be written as,

y = x - 0.75x

y = 0.25x

The graph of the linear equation is attached with the answer below.

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Answer:

Another Professional Player

Answer: 82 is the answer

Step-by-step explanation: I just did this question and worked it out and it said it was right

Answer:

y=3+5x

Step-by-step explanation:

Add 5x to both sides.

Answer:

[tex]-3[/tex]

Step-by-step:

[tex]8+ (-3) + (-8)[/tex]

1  ) Combine like terms...

[tex]=5 - 8[/tex]

2 ) Solve...

[tex]= - 3[/tex]

Hope this helps! :)

Answer:

The smaller number is 4.

Step-by-step explanation:

X and Y are the two numbers

x+y=12

x-y=-4

Subtract these two equations

(x+y=12)

-(x-y=-4)

—————-

2y=16

y=8

Plug it in to any equation:

x+y=12

x+8=12

x=4

Answer:

each student get 2.5 of graham crackers

Step-by-step explanation:

[tex]total \: students \: = 12 \\ graham \: crackers \: = 30 \\ 30 \div 12 \\ = 2.5[/tex]