Luke and Seth each need to buy the same amount of fencing for their gardens. While Seth's garden is square in shape, Luke's garden is rectangular with the length 3 feet longer than Seth's. Luke's width is half of the length of his own garden. How much fencing did each buy?

Answers

Answer 1

A = Lw (Area equal length times width)

A = 48 (the garden's area is 48 ft2)

L = w + 2

 

We have values for our variables, so let's plug them in:

48 = w(w + 2)

Distribute:

48 = w2 + 2w

Subtract 48 from both sides:

0 = w2 + 2w - 48

 

AS you can see, we now have a quadratic. From here we need:

m + n = 2 and

m * n  = -48

When we break up the quadratic into (w + m)(w + n)

48 is an even number divisible by 3, so it'll be also be divisible by 6:

48 / 6 = 8

8 + (-6) = 2

8 * -6 = -48, so:

0 = (w + 8)(w - 6) →→ 0 = w + 8, or 0 = w - 6

w = -8 or 6

 

We can't have a negative width, so it cannot be -8, therefore, the width is 6 ft. I'm sure you can find the length from here.

(i hope this is right)


Related Questions

Demetri solved this problem using his calculator.
17×0.25=

His answer was 42.5. Which of the following is a mental check Demetri can use to determine that his answer is not reasonable?
A.
When a number is multiplied by 0.25, the decimal point in the answer should be moved 2 places to the right instead of 1 place to the left.
B.
Multiplying by 0.25 is the same as multiplying by 4, so his answer should be close to 16 multiplied by 4.
C.
Multiplying by 0.25 is the same as dividing by 4, so his answer should be close to 16 divided by 4.
D.
When a number is multiplied by 0.25, the decimal point in the answer should be moved 1 place to the right instead of 1 place to the left.

Answers

figure it out yourself

find the area of each polygon I DONT GET IT SO PLZ HELP SOMEONE

Answers

Answer:

Step-by-step explanation:

Count each sides :)

Answer:

DONT DOWNLOAD THE DOC IT GIVES YOU A VIRUS WHERE U TYPE IN ALL CAPS

Step-by-step explanation:

Solve for X
2x - 8 = 30

Answers

Answer:

x=19

Step-by-step explanation:

2x - 8 = 30

get x by itself by adding 8 to both sides

2x=38

divide by 2

x=19

pls help me for 100 points!

Answers

Answer:

160

Step-by-step explanation:

Answer: 160

Step-by-step explanation:

Larry drives 225 miles in 4.5 hours abd 375 miles in 7.5 hours. Based on Larrys rate which equation will calcuate the distance Larry drives d, in t hours

Answers

The rate of distance which is the average speed driven by Larry is; (d1 + d2)/(t1 + t2) = 50 mph

How to Calculate mathematical rates?

We are given;

First distance driven by Larry = 225 miles

First time by Larry = 4.5 hours

Second Distance driven by Larry = 375 miles

Second time by Larry = 7.5 hours

Formula for rate of distance which is speed is;

s = d/t

where;

d is distance

t is time

Thus;

Rate = (225 + 375)/(4.5 + 7.5)

Rate = 600/12

Rate = 50 mph

Read more about mathematical rates at; https://brainly.com/question/8728504

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A store pays $27 for a ticket to a play and marks the price up by 39%. What is the amount
of the mark-up?

Answers

Answer:

first, lets find 39% of 27.

39% of 27=10.53

10.53+27=

37.53

An airplane travels 500 miles in 2 hours. What is the airplane's speed in feet per second? How to do step by step.

Answers

Here you go..............

Please help I do anything just help
The table shows the amounts of tomato sauce and cheese used to make the last 4 orders at Sara’s Pizza


b. Sara’s Pizza recorded weekly sales for regular cheese pizza from the past four weeks.
Week 1: 417 pizzas sold
Week 2: 399 pizzas sold
Week 3 : 405 pizzas sold
Week 4: 410 pizzas sold
Estimate how much tomato sauce and cheese they should purchase for next week. Explain how you made your estimate and why it is reasonable.

Answers

Answer:

i think it week 2

Step-by-step explanation:

hope this help

Solve the following problem -9 + w = 1.

What is the value of w?

Can someone Plz help me......

Answers

Answer:

w = 10

Step-by-step explanation:

-9 + w = 1

w = 1 - (-9)

w = 1 +9

w = 10

-9+w=1
w=1+9
w=10

so this is your answer

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
24, 12, 6, ...
Find the 8th term.
Help

Answers

Answer:

[tex]\frac{3}{16}[/tex]

Step-by-step explanation:

The common ratio is [tex]\frac{1}{2}[/tex]

24, 12, 6, 3, [tex]\frac{3}{2}[/tex], [tex]\frac{3}{4}[/tex], [tex]\frac{3}{8}[/tex], [tex]\frac{3}{16}[/tex]

so divide each term by 2

plz mark m brainliest. :)

plssss helpppp ILLL GIVE BRAINLESS

Answers

Answer:

C

Step-by-step explanation:

i think

Pls help extra points and mark brainlist

Answers

Answer:

343

Step-by-step explanation:

Cube would be a number times itself 3 times. 7x7x7 is 343

the growth rate of nominal gdp between 1998 9063
and 2018 20501 was

Answers

Answer:

The nominal GDP growth rate between 1998 and 2018 was 126.20 percent.

Step-by-step explanation:

Given that in 1998 the country's GDP was $ 9,063 and in 2018 it was $ 20,501, to determine the nominal growth rate of the nation's GDP, the following calculation must be made:

9,063 = 100

20,501 = X

((20,501 x 100) / 9,063) = X

2,050,100 / 9,063 = X

226.20 = X

226.20 - 100 = 126.20

Therefore, the nominal GDP growth rate between 1998 and 2018 was 126.20 percent.

Dylan paid $3.50 for 12 folders. How much would he pay for 30 folders?

Answers

$8.75 for 30 folders

Answer:

8.75

Step-by-step explanation:

12f=3.50

30f=3.50/12*30

3.50/12*30= 8.75

8.75 is the amount for 30 folders.

A soccer team must raise at least $660 buy new equipment. To reach this goal, each of the 12 soccer players sells tickets
to a game. Tickets cost $2.75 each. The school athletics fund donates an additional $10 per player. The situation is
modeled by the inequality shown,

12(2.75r + 10) 660

How many tickets must each player sell to raise the money?

A at least 19
B at least 17
C at least 16
D at least 20

Answers

Answer:

At least 17

Step-by-step explanation:

12(2.75r+ 10)≥ 660

33r+120≥ 660

33r≥ 540

r≥ 16.36

You can't sell 0.36 of a ticket to they need at least 17

2+2=5 if im not wrong

HURRY ANSWER Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive on
negative correlation, describe its meaning in the situation.
Consumer Price Index, 1950-2002
700
600+
500
400
300
200+
100
1950
1960
1970
1980
1990
2000
Year
Source: Bureau of Labor Statistics, U.S. Dept. of Labor
a. no correlation
b. positive correlation; as time passes, the CPI increases.
C.positive correlation as time passes

Answers

Answer:

B

Step-by-step explanation:

The meaning in the situation is B; positive correlation; as time passes, the CPI increases.

What does correlation coefficient convey?

The correlation coefficient is the degree of association between two quantities in terms of linear relation. The range of correlation coefficient is -1 to 1

If the correlation is -1, then that refers as the one quantity increases, the other quantity decreases , also the correlation is 0, then there is no linear relationship between two variables.

There are two types of Correlation;

Positive Correlation= With Increase in x value, y value also increases, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases, we call it negative correlation.

As we can see from the points plotted on the graph ,with increase in x value , y value decreases.

Hence, positive correlation; as time passes, the CPI increases.

Learn more about correlation coefficient here:

https://brainly.com/question/10725272

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what does the unit 3 represents in the number 21,473,862,095

Answers

Answer:

1 million

Step-by-step explanation: you go from the last number and count the steps like ones, tens, hundreds, and so on

What is - 0.9 as a decimal

Answers

Answer: -0.9 as a decimal is -0.9

but if you meant as a fraction, then it's -9/10

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

There Are Several Ways To Write 0.9.

1) 0.9

2)0.90

3)9/10

4)90/100

Hope this was able to help you!

-TheAnimeCatUwU

#LearnWithBrainly

What are a missing number 3/5=...../20 12/16=..../8​

Answers

Answer:

3/5=12/20

12/16=6/8

Step-by-step explanation:

Determine the domain of the following graph:

Answers

Hi there! :)

[tex]\large\boxed{[-6, 6]}[/tex]

The domain of a graph consists of its x-values.

In this graph, we can see endpoints at the value x = -6 and x = 6.

Thus, the domain is from x = -6 to 6.

Since we have endpoints, however, we can use closed brackets "[]" to denote the domain in interval notation. Therefore, the domain of this function is:

[-6, 6].

The distance between R and S on the coordinate grid is units. (Input whole numbers only) Numerical Answers Expected! Answer for Blank 1​

Answers

Answer:

45 units

Step-by-step explanation:

when solving 20x+5y=40 for y

Answers

Simplifying
20x + -5y = 40

Solving
20x + -5y = 40

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5y' to each side of the equation.
20x + -5y + 5y = 40 + 5y

Combine like terms: -5y + 5y = 0
20x + 0 = 40 + 5y
20x = 40 + 5y

Divide each side by '20'.
x = 2 + 0.25y

Simplifying
x = 2 + 0.25y

The answer is y=-4x+8. The paper shows how to solve the equation step by step.

4 wholes and 3/8 - 2 wholes and 1/8. Those are the problems. Help me answer them please.

Answers

Answer:

c 2 and 2/8

Step-by-step explanation:

you subtract the wholes first which is 4 - 2 = 2

and then the fractions 3/8 - 1/8 = 2/8

Answer:

C

2 2/8

Step-by-step explanation:

PLS ANSWER ASAP THANKS TO YOU!

Answers

Answer:

3

Step-by-step explanation:

9.

12. Sana makatulong

If K = {(x, y) Ix-y=5), is Set K a function?
1. Νο
2. Yes

Answers

Answer:

no its not

Step-by-step explanation:

DOES ANYONE KNOW THIS???!?!?​

Answers

Answer:

15%

Step-by-step explanation:

56-32/32×100

24/32×100=75

100-75=15%

Answer:

15%

Step-by-step explanation:

Faizal and Ritesh are playing a game on fractions. They make 5 chits, each having some fractions written on it. Faizal picks up a chit and got the fraction 3/5 Ritesh picks a chit with fraction which is equivalent to Faizal's fraction. What fraction is with Ritesh?​

Answers

Answer:

3/4

Step-by-step explanation:

(3/4)/x=1

3/4 = x*1 = x

Or it can be other 3/4 in other forms such as 6/8 or 9/12

Solve. What is the area of the shape above in square inches?

Answers

so the inches well be 3,840 inche

Step-by-step explanation:

I got 465 because there are 4 triangles so 8x15/2x4 plus 15x15

Factor 25b – 14b
b(25 – 14)
b(25 + 14)
-b(25 – 14)
-b(25 + 14)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{We cannot do much of nothing because we don’t have all the information}\\\large\text{to solve.. so we can just simply do process of elimination until we fully find}\\\large\text{the ANSWER you are trying to look for.}[/tex]

[tex]\large\text{Given equation: 25b - 14b}\\\large\text{COMBINE your LIKE TERMS}\\\large\text{\underline{25b - 14b} = 11b}\\\large\text{So, we are looking for an equation that gives us \bf{11b}}[/tex]

[tex]\large\text{Option A.}\downarrow\\\large\text{b(25 - 14)}\\\large\text{DISTRIBUTE: b(25) + b(-14)}\\\bullet\large\text{ Reverts to: 25b - 14b (our ORIGINAL EQUATION) so this can be}\\\large\text{equal to 11b}\\\\\large\text{Option A. could POSSIBLY be your ANSWER}[/tex]

[tex]\large\text{Option B. }\downarrow\\\large\text{b(25 + 14)}\\\large\text{Distribute}\\\large\text{25(b) + 14(b)}\\\large\text{It DOES NOT revert to the original equation. It gives us: 25b + 14b}\\\large\text{If we COMBINE your LIKE TERMS in that equation. We would get: 39b}\\\large\bf{39b \neq 11b}\\\\\large\text{Option B is NOT your ANSWER}[/tex]

[tex]\large\text{Options C and D CANNOT be your answers because Option C. is}\\\large\text{-11b and Option D. is -39b}[/tex]

[tex]\boxed{\boxed{\large\text{To sum it all up, your ANSWER is: \bf{Option A. b(25 - 14)}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the 76th term on the arithmetic sequence
4, 7, 10, 13

Answers

Answer:

229

Step-by-step explanation:

1) the difference of the sequence is:

d=7-4=10-7=13-10=3.

2) the common view of the formula of the n term is:

a(n)=a(1)+d*(n-1), where n - required number of the term (it is 76), d- the calculated difference, a(1) - the 1st term of the given sequence.

3) according to the formula above it is possible to substitute n=76, d=3 and 4, then:

a(76)=4+3*(76-1)=4+225=229.

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