10. A farmer wants to.fence in the garden shown below. Write a
simplified rational expression for the ratio of the garden's
perimeter to its area.
3x
3x
Answers
The rational expression for the ratio between the perimeter and the area is:
R = 4/3x
How to find the ratio?
We want to find the ratio, as a rational expression, between the perimeter and the area.
Remember that for a square of sidelength S, the perimeter is:
P = 4*S
And the area is:
A = S^2
Then the ratio between these two is:
R = P/A = (4*S)/(S^2) = 4/S
In this case, the sidelength is 3x, then S = 3x, replacing that we get:
R = 4/3x
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Related Questions
what is the answer to this expression -2 x (10 + (-5) )
Answers
Answer: The answer to this expression is -10x
Step-by-step explanation:
We distribute -2x t the equation inside of the parenthaseis
[tex]-2 x (10 + (-5))[/tex]
[tex]-2x*10=-20x[/tex]
[tex]-2x*-5=10x[/tex]
[tex]-20x +10x=-10x[/tex]
x= -5y + 36
5x + 5y = 0
The substitution method. Also please help me I’m so confused
Answers
Answer:
x = -9
y = 9
Step-by-step explanation:
If we know that x = -5y + 36
The second line says that
5x + 5y = 0
We can substiute the value of x from the first line into the second line.
So it becomes
5 ( -5y+36) + 5y = 0
Distribute the 5 over the parentheses
-25y + 180 +5y = 0
Then we can add things that are alike; so that means we can add the y values
-20y + 180 = 0
Then add 20y to both sides of the equation
180 = 20y
Then you divide by 20.
You get 9 = y!
Now that you have the value of y, you can put it back into the intial question.
5x+5y = 0
5x + 5(9) = 0
5x + 45 = 0
5x = -45
x = -9
Answer:
x=-9 y=9
Step-by-step explanation:
Substitute x:
5(-5y+36)+5y=0
Use Distributive property
-25y+180+5y=0
Add Like terms
-20y+180=0
Subtract 180 from both sides
-20y=-180
divide -20 from both sides
y=9
Solve for x by substituting the value of y into the equation x= -5y + 36
to get x=-9
The probability of getting a soda at the movie theater is 70%. What is the probability that the next three guests in the movie theater will get a soda
Answers
The probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of getting a soda at the movie theater is 70%.
[tex]P=70\%\\P=\dfrac{70}{100}\\P=0.7[/tex]
By the chain rule, the probability of getting the soda to the next 3 guest is equal to the cube of the probability of getting a soda at the movie theater.
Thus, the probability that the next three guests in the movie theater will get a soda is,
[tex]P^3=0.7^3\\P^3=0.343[/tex]
Thus,the probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.
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Write an equation for a line that passes through (1,-4) and (3,-5)
Answers
Answer:
y = -3/4x - 1/2
Step-by-step explanation:
Given:
Point 1: (1, -4)
Point 2: (3, -5)
Find:
The equation for the line that passes through Point 1 & Point 2
Solution:
y = mx + b
Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept
m = ( y2 - y1 ) / ( x2 - x1 ) = ( -5 - (-4) ) / ( 3 - 1 ) = -1 / 2
∴ m = - 1/2
Using either P1 or P2, plug in one of their respective x- and y-values into:
y = -1/2 x + b
I'll do (3, -5):
-5 = -1/2 ( 3 ) + b
-2 = -3/2 + b
-4 = -3 + 2b
-1 = 2b
∴ b = -1/2
∴ y = -3/4x - 1/2 is the equation of the line that passes thru both points (-5, 4) and (3, -2)
A cellular phone sells for $99.00. The company is
offering a discount of 33% for a one-year service
contract. There is an 8.25% sales tax. How much will
Bert have to pay for the phone if he takes the one-year
service contract?
a. $35.36
b. $40.83
c. $71.80
d. $73.50
Answers
I need help pls!!! I would appreciate it
Answers
Answer:
(-1,-4) ---> 77
Step-by-step explanation:
Michelle has private health insurance that cost $435 a month. Her new employer will provide the same health insurance at no cost to her. What is the health insurance worth as a benefit of employment?
Answers
The health insurance worth as a benefit for Michelle is = $870.
Calculation of total health insurance benefitsThe private health insurance cost for Michelle = $435
The new employer will provide the same health insurance = $435
Therefore, the health insurance worth as a benefit for Michelle is = $435 + $435 = $870
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Grayson biked 45 miles in 3 hours Maya biked 26 miles in 2 hours. if they both kept a constant speed, how much faster did Grayson bike than Maya?
PLEASE HELP ASAP
Answers
The speeds of both Grayson and Maya can be found using the equation:
distance/time
So 45/3
and
26/2
Grayson was going 15mph while Maya was going 13mph
So Grayson was going 2mph faster than Maya
Last year at a certain high school, there were 84 boys on the honor roll and 50 girls
on the honor roll. This year, the number of boys on the honor roll decreased by 25%
and the number of girls on the honor roll decreased by 16%. By what percentage did
the total number of students on the honor roll decrease? Round your answer to the
nearest tenth (if necessary).
Answers
Answer:
Step-by-step explanation:
Boys Girls
84 50
%decrease %decrease
-25% -16%
84=100% 50=100%
75% 84%
75/100×84 84/100×50
=63 =42
84+50=134
63+42=105
134-105=29
134=100%
29
29/134×100
21.6%
Which sum is rational?
A. 1 + 18
B. 25 + 1.75
C. V3 + 5.5
D. I+V2
Answers
Answer: B. √25 + 1.75.
Step-by-step explanation: Rational Numbers are numbers that terminate or don't need to be terminated. For example, 1/3 is a repeating number, but we can terminate the value, whereas pi is never ending, and there is no terminating with that value. Numbers like 5.56 and 7/8 are rational because they don't need to be terminated to be rational. √25 is 5, no decimals to terminate or anything, and that makes the value rational. 1.75 is also rational, and that's why equation c is fully rational. √3 and √2 can't terminate, because both are 1.73205080757 and 1.41421356237, which means that they still can't terminate. Pi cannot terminate, so that's why the answer choices with pi aren't rational.
Hope this helps! :)
Charlie had $938 he wants to buy gifts for his 15 family members he wants to spend the same amount of money (in dollars) for each person with the remaining money he buys a pen worth $3 how much money will he have left over after his purchases
Answers
Answer: $5
Step-by-step explanation:
938-3 = 935
935/ 15 = $62 on each person with a balance of $5
what are the domain and range of the function in the graph? round to the nearest tenth
Answers
Answer:
can you send a pic of the graph so we can give you an answer?
A train that travels at 240 km/hr will travel _____m in 30 seconds
Answers
Answer: 8 meters
Step-by-step explanation: you divide 240 by 30
Russell wants to ride 2 miles on his bike. each lap around his block is 1/10 mile. which model show how many laps he should ride?
Answers
Answer:
20 miles
Step-by-step explanation:
each lap is 1/10 mile, then we have to do 2x10 =20
pls mark as brainliest hope this helps
Find the LCM by first finding the prime factors.
3, 4, 8, 12
Answers
Answer:
12
Step-by-step explanation:
f I read 245 pages of The Lightning Thief, what percent of the book have I read? (There are 377 pages total, Round to the nearest percent
Answers
Answer:
65%
Step-by-step explanation:
set a porportion
245 =x
377 100
245x100= 24500/377 = 64.9 rounded = 65%
7. ) Find the area of the given figure.
A) 178. 3 m2
B) 196. 5 m2
C) 250. 8 m2
D) 292. 5 m2
E) 297. 1 m2
Answers
Step-by-step explanation:
Where is the reference shape?
Directions: Find the error.
Hugo says that if you interchange any coordinate
in quadrant IV, the new coordinates would still be
in quadrant IV. His friend Melanie disagrees. Who is
correct? Give two examples and explain.
Answers
When an article is sold at 6% profit and 9% profit then the difference in sp is Rs 9 find CP and both SP of the article.
Answers
Step-by-step explanation:
the present price of a motorcycle is Rs 2,25,000.if it's price is depreciated per year by 8% after how many years will the price of the motorcycle be rs 1,75,204.80?
I have a deadline for this soon please help (edmentum)
Answers
f(x)+g(x) Add the two functions g and f
(3x+2)+(4x)
f(x)+g(x)=7x+2
f(g(x)) Put the g function into f
f(4x)
f(4x)=3(4x)+2
12x+2
You could combine functions when you need to find the value of something for two equations. Like finding the total value of tickets sold for adult (f(x)) tickets and children (g(x)) tickets.
A square room has measures of length and height am and bm respectively. write the formula to calculate the area of its four walls
Answers
Answer:
area of the four walls
= a^2 x 4
A grocery store sells long grain rice for 2.49 per pound. Write an expression for the cost of y pounds of long grain rice.
I dont want to waste time thinking about it
Answers
Answer:
Step-by-step explanation:
Cost = 2.49 * y
You really should spend the time. Math is used everywhere.
Emily walks every day, and she keeps a record of the number of miles she walks each day. The histogram and five-number summary below were created from the recorded miles for a random sample of 25 of the days Emily walked.
Answers
Given the method given to calculate an outlier, the method does not identify 7.5 miles as an outlier.
Is 7.5 miles an outlier?An outlier is either very much larger or smaller than the rest of the data in the dataset. In this dataset: 1, 2, 1000. 1000 is an outlier.
Outlier = 1.5 x interquartile range
Interquartile range = q3 - q1
1.5 x (3.8 - 2.6) = 1.8
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hey, can you answer this for me?
9-3x=54?
Answers
[tex] \Large{\boxed{\sf x = -15}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 9 - 3x = 54 [/tex]
[tex] \\ [/tex]
Subtract 9 from both sides:
[tex] \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 [/tex]
[tex] \\ [/tex]
Divide each side by -3 :
[tex] \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} [/tex]
[tex] \\ \\ [/tex]
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what is w + 4 1/4 = 13 19/20
Answers
Answer:
w = 9 7/10
Step-by-step explanation:
w + 4 1/4 = 13 19/20
Subtract 4 1/4 from each side
w = 13 19/20 - 4 1/4
Get a common denominator of 20
w = 13 19/ 20 - 4 1/4*5/5
w = 13 19/ 20 - 4 5/20
w = 9 14/20
We can simplify
w = 9 7/10
Rewrite the fractions to have the same denominator:
1/4 can be rewritten as 5/20
now you have w + 4 5/20 = 13 19/20
Solve for w by subtracting 4 5/20 from both sides:
W = 9 14/20 which can be rewritten as 9 7/10
answer: 9 7/10
Find the 66th term in the following
arithmetic sequence :
-92, -85, -78, -71, .
Answers
363
Step-by-step explanationT1= a= -92
T2= -85
common difference d = T2-T1
d = -85 -(-92)
= -85 +92
= 7
Tn = a + (n-1)d
T66 = -92 + (66-1)7
= -92 + (65)7
= -92 + 455
= 363
Determine the intercepts of the line.
Do not round your answers.
y = 4x + 7
X-intercept: ( __ , __ )
Y-intercept: ( __ , __ )
Answers
Answer:
y intercept is (0,7) & x is (7/4,0)
Step-by-step explanation:
you put 0 for y or x and solve to get the intercept. for y int, you put 0 where the x is. for x int, put 0 at y.
y intercept is (0,7).
y = 4(0) + 7
y = 0 + 7
y = 7
x intercept is (7/4,0)
0 = 4x + 7
7 = 4x
7/4 = 4x/4
7/4 = x
Is the question below a statistical question?
What is the difference in rainfall between this year and last
year?
Answers
Answer:
No because there can only be one answer.
Step-by-step explanation:
Statistical questions have to have more than one answer in order for it to be statistical.
Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips? Yes, Sasha is correct. The mean amount she makes is $58. 33 in a day. Yes, Sasha is correct. The mean amount she makes is $65. 33 in a day. No, Sasha is not correct. The median amount she makes is $53. 00 in a day. No, Sasha is not correct. The median amount she makes is $60. 00 in a day.
Answers
Answer: Yes Sasha is correct she makes $58.33 a day
Step-by-step explanation: First add all the tips
[43 + 32 + 65 + 88 +50 + 72 =350]
Then divide by how many tips there are
[350 ÷ 6]
therefore your answer is $58.33
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answers
Answer: 24 students have less than 20 pets
Step-by-step explanation: