Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.

3x + y = -2

y = 2x + 3

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

=============================================================

Work Shown:

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

--------------

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

Answer:

Write full question

I cannot understand

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

Answer:

The slope is undefined.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-10)/(-5-(-5))

m=-1/(-5+5)

m=-1/0

undefined

Since the slope is undefined, this is a vertical line.

Answer:

undefined

Step-by-step explanation:

Ok, we will use the formula:

[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]

The points (-5, 10) is our one, making -5 x1 and 10 y1

The points (-5, 9) is our two, making -5 x2 and 9 y2

now we add them into our formula

[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex]         = undefined

Hope this helps. Check with someone else to make sure. <3

Answer:

Step-by-step explanation:

ab abahha

Answer:

Step-by-step explanation:

x^2 = 5x + 24                                Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24  -24

x^2 - 5x - 24 = 0                            This does factor. -8 and 3  are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

It should be noted that all the solids have the same volume.

Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. It should be noted that the definition of length is interrelated with volume.

Here, the three solids below have the same height. The cross-sections of the parallel planes have equal areas. They all have same volume.

Learn more about volume on

https://brainly.com/question/1972490

#SPJ1

Answer:

50

Step-by-step explanation:

Answer:

A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.

Step-by-step explanation:

i have linked 1 picture of a ratio table example

hope this helped

Given that the total amount of land in acres is 538

The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres

Mathematically we have

538/34 = 15.823

But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15

Learn more about division of numbers:

https://brainly.com/question/17220365

Answer:

B.

Step-by-step explanation:

Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?

She bought a total of 17 apples and lemons combined.

So the equation that would represent this is,

l + a = 17.

Each apple costs 35¢ and each lemon costs 15¢. All the lemons and apples cost $3.95 togther.

So the equation that would represent this is,

0.15l + 0.35a = $3.95

Answer:

[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]

Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

[tex]\frac{51}{100}\times \frac{93}{1}[/tex]

[tex]=\frac{4743}{100\times \:1}[/tex]

[tex]=\frac{4743}{100}[/tex]

Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"

So Jane wrote k numbers.

lets take an example

if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.

Hence she write k numbers.

Jane wrote k - 4 natural numbers for the given condition.

Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Jane wrote all the natural numbers from 5 to k, including 5 and k.

So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.

To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.

1, 2, 3, 4, 5, ..., k-1

So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.

Therefore, she wrote k - 4 natural numbers.

Learn more about natural numbers here :

brainly.com/question/17429689

#SPJ2

Answer:

sin =5/3

tan = sin/cos= 3/5/5/3=1

Step-by-step explanation:

you haven't game me much to work with but sin= opp/adj and cos= adj/opp so there you go

The probability of picking a marble that is not blue is 5/6

The proportions of the balls are given as:

[tex]Red = \frac 12[/tex]

[tex]White = \frac 13[/tex]

[tex]Blue = 6[/tex]

The probability of picking a ball that is not blue is:

[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]

So, we have:

[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]

Rewrite the fractions as equivalent fractions

[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]

Take LCM

[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]

Add 3 and 2

[tex]P(Not\ Blue) = \frac {5}6[/tex]

Hence, the probability of picking a marble that is not blue is 5/6

Read more about probabilities at:

https://brainly.com/question/8652467

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

Answer:

25*1/5(or 0.2)=

5

she gives a way 5 toys

Hope This Helps!!!

The number of toys that she gives away will be 5.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Cynthia gave 1/5 of her toys to her little sister.

If she had 25 toys.

Then the number of toys that she gives away will be given by the product of 25 and 1/5.

⇒ 25 x 1 / 5

⇒ 5

The number of toys that she gives away will be 5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

The desmos link is in the reply section below...

1.) y = 1.56x + 1.29

2.) the slope is 1.56

As the weeks are increasing, the student's balance is growing about 1.56 per week.

3.) y = 24.69

4.) 50 = 1.56x + 1.29

50 - 1.29 = 1.56x + 1.29 - 1.29

48.71 =1.56x

48.71 / 1.56

31.2

i'm pretty sure it's 20.

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

Answer: The 9th term of the sequence 27,37,47 is 107.

Answer: 3Z

Step-by-step explanation:

Answer:

(x+1)^2*(x+2)*(x+3)

Step-by-step explanation:

(x+1)(x+2)(x+3)x.(x+1)

(x+1)^2*(x+2)*(x+3)

(x+3)

 (((x•(x+1))•(x+2))•—————)•(x+1)

                      x  

(x + 1) • (x + 2) • (x + 3) • (x + 1)

Multiply  (x+1)  by  (x+1)