Students in a poetry class are writing poems for their portfolios. The teacher wants them to write stanzas with certain numbers of lines each. Lucy wrote 9 short stanzas and 9 long stanzas, for a total of 198 lines. Quincy wrote 9 short stanzas and 6 long stanzas, for a total of 156 lines. How many lines do the two sizes of stanzas contain?

Answers

Answer 1

Answer:

x = 8

y = 14

the short stanzas contain 8 lines

the long stanzas contain 14 lines

Step-by-step explanation:

lets call the short stanzas x

and the long stanzas y

using given information, you can make this equation

9x + 9y = 198

you can also make this equation

9x + 6y = 156

simplify the first equation

9x + 9y = 198

9x = 198 - 9y

x = 198/9 - y

x = 22 - y

substitute x for 22 - y in the second equation to find y

9(22 - y) + 6y = 156

198 - 9y + 6y = 156

-9y + 6y = -42

-3y = -42

y = 14

substitute y for 14 in the first equation to find x

9x + 9y = 198

9x + 9*14 = 198

9x + 126 = 198

9x = 198-126

9x = 72

x = 72/9

x = 8


Related Questions

Can someone please explain slope in a way that might make sense.

Answers

Okay let’s take the question “Find the slope of the points (4, 1) and (-2, 7)” as an example

The slope of an equation or graph is the rate of change.

In order to find slope, we use the formula m=rise/run or m=y2-y1/x2-x1

“m” is equal to the slope

“rise” or “y2-y1” is the difference (subtraction) of the two y coordinates

“run” or “x2-x1” is the difference (subtraction) of the two x coordinates

Remember, the points we are using for this example are (4, 1) and (-2, 7)

m = y2-y1/x2-x1
m = 7-1/-2-4

1 and 7 are your y coordinates so you plug them in an find the difference (subtraction)

4 and -2 are your x coordinates so you plug them in an find the difference (subtraction)

It doesn’t matter whether you do “m=7-1/-2-4” or “m=1-7/4-(-2)” both will have the same answer

The only thing you can’t do is something like “m=7-1/4-(-2)” or “m=1-7/-2-4”

The bottom can’t be solved in the opposite way of how it was solved on top and vice versa of that makes sense

Also, keep in mind that if you see two negatives as in the “m=1-7/4-(-2)” example, you turn it into an addition symbol

Like this:
“m=1-7/4+2)”

Because two negatives are equal to a positive

m = y2-y1/x2-x1
m = 7-1/-2-4
m = 6/-6
m = 6/-6
m = -1

Remember that a negative divided by a positive is always a negative so it doesn’t matter where you place the negative sign

For example, if your slope was 2/-5, that would be the same as -2/5

And when you divide two negatives, it always equals to a positive

For example -2/-5 would simplify to 2/5

I hope that helped and made sense :)

A. 5/7 pi

B. 4/9 pi

C. 6/7 pi

D. 2/3 pi

E. 5/9 pi

Answers

Answer:

A. 2.243994753

B. 1.396263402

C. 2.692793703

D. 2.094395102

E. 1.745329252

Answer:

D

Step-by-step explanation:

Remark

This is an incredibly beautiful problem! It is solved mostly by algebra. r = 1 and the height will therefore be 2

Equations

l^2 + r^2 = l^2

l is the slant height.

Solution

SA = π * l * r + π r² = π(1 + √5)          Divide both sides by π

Find l

l * r + r^2 = 1 + √5

l^2 = r^2  + h^2

l^2 = r^2 + (2r)^2

l^2 = 5r^2

l = √5 * r

Now go back to this equation to find r

l * r + r^2 = 1 + √5                               Substitute the value for l

√5 r * r + r^2 = 1 + √5                         On the left pull out r^2

r^2 (1 + √5) = 1 + √5                            Divide by 1 + √5

r^2 = 1                                                  Take the square root on both sides

sqrt(r^2) = sqrt(1)

r =1

Therefore h = 2

Volume of the cone.

V = 1/3 * π r² h

V = 1/3 * π 1² 2

V = 2/3 * pi

D

x2=120
solve for the exact variable answer

Answers

Answer:

60 ?

Step-by-step explanation:

60×2 = 120. .

when you have a x right behind a number that means multiply

3x – 4y = 2; 6x – 8y = 1 .

How many solutions PLEASE

Answers

Answer:

No solution

Step-by-step explanation:

3x - 4y = 2

6x - 8y =1

Multiply the first equation by -2 so you can eliminate the x's.

-2(3x-4y =2)

6x - 8y = 1

-6x + 8y = 2

6x - 8y = 1

Add the equations so they cancel.

0 + 0 = 3

0 [tex]\neq[/tex] 3, therefore there are no solutions.

What is Y=3x^2+6x+10 in vertex form.

Answers

Answer:

y=3(x+1)^2+7

Step-by-step explanation:

Given S'T'U'V' is a dilation of STUV, find the scale factor of dilation.

Answers

Step-by-step explanation:

Scale factor of STUV to S'T'U'V

= Length of T'U' / Length of TU

= 6/12 = 0.5.

What is the value of x?

What is the measure of

Answers

Answer:

x is 10

Step-by-step explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS  = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

Stephanie has 6 classes a day at school. Each class is 52 minutes long. She goes to school 5 days a week. How many minutes does she spend in her classes each week?

________ minutes

Answers

Answer:

1560 minutes

Step-by-step explanation:

52minutes x 6 = 312minutes

312minutes x 5 = 1560 minutes

so that means, she spends 1560 minutes in class

Answer:

___1560_____ minutes.

Step-by-step explanation:

6*52*5 = 1560 minutes

___1560_____ minutes.

At a party, the number of people who ate meatballs was 11 fewer than 13 of the total people. Five people ate meatballs.
Write and solve an equation to find the number of people at the party. Let x represent the number of people at the party.


B.Write a one-step equation that has the same solution ill give 25 points for an answer asap please it's due today!

Answers

Answer:

5=1/3x-11  

Step-by-step explanation:

Add eleven to each side to get 16=1/3x. Then multiply each side by three to get 48=x, so x=48.-step explanation:

What is the multiplayer for a 3% increase?

Answers

Answer:

3% = 0.03

verified with calculator

50/21 as a 10th of a percent

Answers

Answer:

20 percent

Step-by-step explanation:

Which of the following best describes the slope of the line below?

Answers

Answer:

It would be negative

Explanation:

Select the correct answer.
Simplify the following expression.
1
OA
OB. 5(-3)
О с.
53
OD.

Answers

Answer:

B) 5(-3) either way its telling you to multiply 5 by -3

The simplifying form of the expression 5⁻³ is,

⇒ 1 / 5³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression for simplifying is,

⇒ 5 ⁻³

Now,

By rule of exponent;

⇒ a⁻ⁿ = 1 / aⁿ

Hence, We can formulate simplifying form of the expression 5⁻³ is,

⇒ 5 ⁻³

⇒ 1 / 5³

Thus, The simplifying form of the expression 5⁻³ is,

⇒ 1 / 5³

Learn more about the mathematical expression visit:

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can I please have some help​

Answers

Step-by-step explanation:

14. e= -25

16. y=7

18. -k=500

20. w= -20

22. x=21

24. y=0

hope it helps.

Answer:

14. e=-25

16. y=7

18. k=-500

20. w=-20

22. x=21

24. y=0

Step-by-step explanation:

big brain

1.) Ivan made a scale drawing of his cell phone using the scale factor 1 mm = 2 in. How long is the drawing of his phone if the actual phones is 8 inches? Arecine for rice pudding calls for un​

Answers

Using proportions, it is found that the length of his drawing is of 4 mm.

Proportions:This question is solved by proportions, using a rule of three.The scale means that each mm drawn corresponds to 2 inches of actual length. What is the length of the drawing if the actual length is of 8 inches?

The rule of three is:

1 mm - 2 in

x mm - 8 in

Applying cross multiplication:

[tex]2x = 8[/tex]

[tex]x = \frac{8}{2}[/tex]

[tex]x = 4[/tex]

The length of his drawing is of 4 mm.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Simplify as fully as possible
4x²y^4 × (3xy²)² / 2x²y×4xy^9

Answers

Answer:

The answer is ;

9x/2y^2

Step-by-step explanation:

Here, we want to simplify as far as possible

Let us take all the numbers one after the other

All numbers on numerator and denominator;

(4 * 9)/(2 * 4) = 9/2

All x

(x^2 * x^2)/(x^2 * x) = x

All y

(y^4 * y^4)/(y * y^9) = y^8/y^10 = 1/y^2

So the complete answer is;

9/2 * x * 1/y^2

= 9x/2y^2

Help giving brainliest...

Answers

Answer:

7, 8, 8,7,8,9

Step-by-step explanation:

brainliest plss!!<3

(5 or more raise the score, 4 or less let it rest) so
1.would round to 7
2.would round to 8
3.would round to 8
4.would round to 7
5.would round to 8
6.would round to 9

Hope this helps

Have a great day/night

A seed company planted a floral mosaic of a national flag. The perimeter of the
rectangular planting area is 420 feet. The length of the area is 110 feet longer
than the width.

a.) Write a system of equations to relate the
length and width of the planting area.

b.) Use the system of equations to
determine the length and width of
the planting area.

Answers

9514 1404 393

Answer:

  a) 2(L+W)=420; L-W=110

  b) length: 160 ft; width: 50 ft

Step-by-step explanation:

The formula for the perimeter (P) in terms of length (L) and width (W) is ...

  P = 2(L+W)

We can use this as one of the equations. The other will relate the length and width according to their difference:

  L -110 = W

Substituting the given perimeter in the above equation, our system of equations is ...

420 = 2(L+W)L-110 = W

Substituting for W in the first equation gives ...

  420 = 2(L +(L -110))

  210 = 2L -110

  320 = 2L

  160 = L

  160 -110 = W = 50

The planting area is 160 feet long by 50 feet wide.

_____

Comment on the question

Most national flags have a length/width ratio of 1.5 or 2. The flags of Vatican City and Switzerland are square (1.0). The longest flag is that of Qatar, with an aspect ratio of width:length = 11:28, about 2.545. The "national flag" described here has an aspect ratio of width:length = 5:16, or 3.2. Apparently, it is not to scale, or not from Earth. (The US flag aspect ratio is 1.9.)

If UW = 9x -9, what is UW in units?

Answers

did u get this figured out

someone do these please!

Answers

Answer:

I think the first option is better.

Step-by-step explanation:

First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900

And 6.55 of $5000 is 325. 325 * 36 = 117000

If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.

HOPE THIS HELPED.

IF IT DOESN'T PLEASE COMMENT.

Solve using the quadratic formula: -16x^2-4x + 382

Answers

Answer:

Step-by-step explanation:

[tex]x=\frac{- b+ \sqrt{b^{2}-4ac} }{2a}[/tex]   [tex]x=\frac{- b- \sqrt{b^{2}-4ac} }{2a}[/tex]        

x=-5, 4.7

convert 8x-10y=20 into slope intercept form

Answers

Answer:

y=⅘x-2

Step-by-step explanation:

8x-10y=20

-10y=-8x+20

y=⅘x-2

Which tables represent linear functions of x?
X
y
х
у
1
1
X у
1 1
2 B 4
-2
1
X Y
1 5
2 C 10
3 15
2 A-4
8
WN
3
-6
3
9
27

Answers

Answer:

answer B

Step-by-step explanation:

I got this answer right on my test

Table 1 and table 3 are represent linear functions of x.

What is a linear function?

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0. Although the linear functions are also represented in terms of calculus as well as linear algebra.

Given are four tables, we need to find that which of them shows linear functions of x,

Linear functions will have the ratios of x and y coordinates, constant.

In table 1 :-

x/y = -1/2

-2/4 = -1/2

-3/6 = -1/2

Since the x and y coordinates are constant, therefore, the function is linear.

In table 2 :-

x/y = 1/1 = 1

2/4 = 1/2

3/9 = 1/3

Since the x and y coordinates are not constant, therefore, the function is not linear.

In table 3 :-

x/y = 1/5

2/10 = 1/5

3/15 = 1/5

Since the x and y coordinates are constant, therefore, the function is linear.

In table 4 :-

x/y = 1/1 = 1

2/8 = 1/4

3/27 = 1/9

Since the x and y coordinates are not constant, therefore, the function is not linear.

Hence, table 1 and table 3 are represent linear functions of x.

Learn more about linear functions click;

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Aisha wants to paint the four walls of her living room.
Each wall is 2.4 m high and 3.7 m long.
One wall has a door of 2 m by 0.7 m.
Tins of paint cost £12 per 1.5 L tin.
Each litre of paint can cover 8 m2 of wall.
There is an offer of: Buy 2 tins get the 3rd at half price.
How much will Aisha pay to paint her living room?

Answers

9514 1404 393

Answer:

  £30

Step-by-step explanation:

The total area of the four walls is ...

  A = 4 × LW

  A = 4 × (2.4 m)(3.7 m) = 35.52 m²

Subtracting the area of the door, we find the painted area to be ...

  35.52 m² -(2 m)(0.7 m) = 34.12 m²

Painting this area will require ...

  (34.12 m²)/(8 m²/L × 1.5 L/tin) = 2.8433... tins

Aisha will need to buy 3 tins of paint, for which she pays 2.5 times the price of 1 tin:

  2.5 × £12 = £30 . . . . Aisha's cost to paint her living room

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

A system of equations is shown:

4x = −3y + 17
3x − 4y = −6

What is the solution to this system of equations?

(−2, −3)
(3, 2)
(2, 3)
(−3, −2)

Answers

Answer:

(2, 3)

Step-by-step explanation:

A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?

A. 35

B. 42

C. 25

D. 17

E. 32

Answers

Answer:

Step-by-step explanation:

A right cylinder has a diagonal length of 37 and a total surface area of 492.

What is the height of the cylinder?

A. 35

B. 42

C. 25

D. 17

E. 32

A middle-school art teacher, Ms. Velez, and her students are turning the school’s gymnasium into a student art museum for the day.
Ms. Velez types a program for the event and writes: "The most popular art museum in the world, the Louvre, has approximately 9,300,000 visitors each year. About 1,900,000 of those visitors are young people age 18 to 25."
1) How would you write the two numbers above in scientific notation? (2 points)
2) BONUS: Approximately what percent of visitors to the Louvre are young people?

Answers

Answer:19 to the 5th power

Step-by-step explanation:

U got to count all the zeros and that will be the number u put on top plus 19

i don’t understand how to do this 3a + 7 + 2(3 +a)

Answers

Answer:

5a+13

Step-by-step explanation:

I need help again pls.

Answers

Answer:

4/3

Step-by-step explanation:

sohcahtoa

tan  = opposite/adjacent

tanX = 32/24 = 4/3

Evaluate 18a+5 when a=3.

18a+5=

Answers

Answer:

59

Step-by-step explanation:

18(3)=54+5=59

I dont see why it isnt 59, talk to me in th comments

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