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
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.
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 = WSubstituting 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.)
Solve using the quadratic formula: -16x^2-4x + 382
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
Answer:
y=⅘x-2
Step-by-step explanation:
8x-10y=20
-10y=-8x+20
y=⅘x-2
Which of the following best describes the slope of the line below?
If UW = 9x -9, what is UW in units?
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)
Answer:
(2, 3)
Step-by-step explanation:
can I please have some help
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
Simplify as fully as possible
4x²y^4 × (3xy²)² / 2x²y×4xy^9
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
A. 5/7 pi
B. 4/9 pi
C. 6/7 pi
D. 2/3 pi
E. 5/9 pi
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
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
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
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!
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:
Given S'T'U'V' is a dilation of STUV, find the scale factor of dilation.
Step-by-step explanation:
Scale factor of STUV to S'T'U'V
= Length of T'U' / Length of TU
= 6/12 = 0.5.
Select the correct answer.
Simplify the following expression.
1
OA
OB. 5(-3)
О с.
53
OD.
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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What is Y=3x^2+6x+10 in vertex form.
Answer:
y=3(x+1)^2+7
Step-by-step explanation:
i don’t understand how to do this 3a + 7 + 2(3 +a)
Answer:
5a+13
Step-by-step explanation:
3x – 4y = 2; 6x – 8y = 1 .
How many solutions PLEASE
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.
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
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.
x2=120
solve for the exact variable answer
Answer:
60 ?
Step-by-step explanation:
60×2 = 120. .
when you have a x right behind a number that means multiply
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?
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 :)
Can someone please explain slope in a way that might make sense.
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
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
I need help again pls.
Answer:
4/3
Step-by-step explanation:
sohcahtoa
tan = opposite/adjacent
tanX = 32/24 = 4/3
Help giving brainliest...
Answer:
7, 8, 8,7,8,9
Step-by-step explanation:
brainliest plss!!<3
someone do these please!
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.
What is the multiplayer for a 3% increase?
Answer:
3% = 0.03
verified with calculator
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
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.
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50/21 as a 10th of a percent
Answer:
20 percent
Step-by-step explanation:
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?
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
Evaluate 18a+5 when a=3.
18a+5=
Answer:
59
Step-by-step explanation:
18(3)=54+5=59
I dont see why it isnt 59, talk to me in th comments
What is the value of x?
What is the measure of
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