There is a rectangular lot in the garden, with 6 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its four sides, and make the area of the expanded rectangle 48 ft^2. How long should you expand the original lot in four directions?


You should expand the original lot by…
Please type ft to represent feet.

Answers

Answer 1
So the amount you are increasing it by is equal on both sides. Firstly let’s look at the factors of 48, (1,2,3,4,6,8,12,16,24 and 48) the only factors that are can be equal increase from 4 and 6 is by 2 ft giving us a length of 8 and a width of 6
Answer 2

Answer:

2 ft

Step-by-step explanation:

Given:

l = 6 ftw = 4 ftExtended area = 48 ft²Extension= x

Find x:

(6 + x)(4 + x) = 48x² + 10x + 24 = 48x² + 10x + 25 = 49(x + 5)² = 49x + 5 = 7x = 7 - 5x = 2


Related Questions

Determine the equation of the line that has a slope of and goes through the
point (3,5).

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what is the slope ? i can’t solve with out the slope

round these numbers to the numbers to the nearerst 1000

1781

Answers

Answer 2000

This is because the value in the hundreds place is greater than 4

Answer:

1780

Step-by-step explanation:

first number is the tens next is the hundreds then the thousands the number after eight is only one so you round down

Write an equation in point-slope form that has a slope of -1/2 and a y-intercept of -8.

Can somone please help me!!

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

y = mx + b

y = -1/2x - 8

y1+8= -1/2(x1-0)

Point slope form is y1-y=m(x1-x)

Slope: -1/2
Y-intercept: -8
A point from the line: (0, -8)

PLS HELP Which expression is equivalent to 7y−3x−2y?

2xy

7y−5x

4x−2y

5y−3x

Answers

Answer:

is a equation? because you can do this 3x-2=7 and the answer is x=3

7y - 3x - 2y is equivalent to 5y - 3x.

You must combine like terms. Since 7y and - 2y have like terms, we could combine them by subtracting 2y from 7y, leaving you with 5y.

7y - 3x - 2y

= 7y - 2y - 3x

= 5y - 3x.

Please mark my answers as the Brainliest if you find my explanation helpful :)

there are two numbers tat multiply to -36 and combine to 0. Find the two numbers,then the SMALLER number is your answer for this question

Answers

-6 and 6. -6x6 is -36 and combined equal 0. The -6 is the smaller of the two numbers

3. What is the GCF of 12, 24, and 36? A. 12 C. 24 B. 18 D. 48​

Answers

Answer:

A

Step-by-step explanation:

GCF is greatest common factor, which means that it is the greatest number all the numbers can be divisible by

for these numbers it is 12

Hey there!

Finding the GCF (Greatest Common Factor) of 12, 24, & 48

List of the factors

• 12: 1, 2, 3, 4, 6, & 12

• 24: 1, 2, 3, 4, 6, 8, 12, & 24

• 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, & 48

Common factors

• 1, 2, 3, 4, 6, & 12

Biggest numbers out of the factors

• 6 & 12

GREATEST common factor

• 12

Therefore, your answer is: GCF (Greatest Common Factor) → 12

• Option A.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Solve for m: m=−(4+m)+2

Answers

Answer:

m = - 1

Step-by-step explanation:

m = -4 - m + 2    Combine

m = -2 - m          Add m to both sides

m+m = - 2          Combine

2m = - 2            Divide by 2

m = -2/2

m = - 1

m=−(4+m)+2

Simplify both sides of the equation.

m=−(4+m)+2

m=−m+−4+2

m=(−m)+(−4+2)

m=−m+−2

m=−m−2

Add m to both sides.

m+m=−m−2+m

2m=−2

Divide both sides by 2.

2m/2=−2/2

m=−1

hope this helps!

Nora needs 2.25 cups of sugar to make 24 cupcakes. How much sugar does she need to make 608 cupcakes?

Answers

Answer:

57

Step-by-step explanation:

2.25 give 24

x give 608

.................

608 ×2.25 ÷24= 57

Pls answer and quick!! i'll give brainliest if right

Answers

Answer:

21.25

Step-by-step explanation:

If 2in is 5ft, then 1 inch is 2.5 ft

Then we can say that the height of the original house is:

8.5 * 2.5 = 21.25 inches

Hope this helps!

This circle is centered at the origin, and the length of its radius is 5. What is the equation of the circle?

Answers

Given :-

Circle's centre is at origin.The radius is 5 u .

To Find :-

The equation of the circle .

Answer :-

As we know that the general equation of circle centred at origin is ,

x² + y² = r²

where r is the radius .Here r =5 , So ,

x² + y² = 5² + = 25

What would be the steps to solving this problem?

[tex]\frac{1}{3}[/tex](6x+30)=6x-2(x-7)

Answers

Isolate the variable by dividing each side by factors that don’t contain the variable.

X = -2

Hope this helps!
Have a great day!

please decent answer, I really need it.
thankyou​

Answers

Answer:

Step-by-step explanation:

you need to convert all the numbers to a decimal or fraction with the same denominator then add i all u and take it away from the main number then divide the answer by 2

The volume of the Earth is about 0.0000007 times as great as the volume of the Sun. That's pretty small!
How could you write the Earth's volume in comparison to the Sun's in scientific notation?
Earth's volume is _____
X
____times as great as the Sun's.

Answers

Athe sky

Step-by-step explanation:

Answer:

0.0000007

Step-by-step explanation:

7 x 10^7

Identify the property used to the following statements
1. (3)(-5) = (-5)(3)
2. 15+8=23
3. 10(3+2)=10(3)+10(2)

Answers

Answer:

co.mutative property

Step-by-step explanation:

you can switch the terms around

Write a number equivalent to 47/18


Answers

Answer:

2.61 or 3

Step-by-step explanation:

47/18=2.61

what's 110/18 simplify ?
a : 5/3
b : 20/11
c : 7/3
d : 55/9

Answers

The answer has to be: D) 55/9

Answer:

55/9

Step-by-step explanation:

divide both sides by 2, results in 55/9.

You cant go past 2, so 55/9 (or d) is your answer)

:)

Which is larger?
A) 52
B) 33
o
А
OB

Answers

Answer:

B)3^3

Step-by-step explanation:

Which relation is a function?

Answers

Answer: see below

Step-by-step explanation:

Vertical line test determines which graph is a function.

The graph should pass the vertical line only once if it’s a function.

So we can see that it is the left V-shaped graph.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

The graph number [2], represents a function.

What is a expression? What is a mathematical equation? What is Equation modelling ?

A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.

We have some graphs of relations as shown.

Only the graph number [2], represents a function as for a single value value of [x], a single unique value of [y] exists.

Therefore, the graph number [2], represents a function.

To solve more questions on finding the domain and range of functions, visit the link below -

brainly.com/question/1632425

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Solve -8х + 4 < 36.
ОА. Х<_ 4
ОВ. x<_-4
ОC. х>_4
OD. х>_-4

Answers

Answer: D

Hope it helps

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP.For spirit week at the local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear their school colors. what is the ratio?

Answers

Answer:

The ratio is 4:1 school colors to no colors

Step-by-step explanation:

Do 1200/300 = 12/3 =4/1

Answer:

4:1

Step-by-step explanation:

that is the most simplified version of it

unsimplified is 1200:300

cuanto es 220 dividido 3

Answers

Answer:

73.33

Step-by-step explanation:

determine the x- and y-intercepts for the two lines below and then use them to graph each line.
a. x - 2y = 4
b. 3x + 6y = 24

Answers

Answer:

a. x - 2y = 4

Step-by-step explanation:

carry on learning

What are the lower (Q1) and upper quartiles (Q3) for the following scores?

3,5,5,5,6,8,9,10,11,13,13,14,15,17,18,20

A. Q1 = 5 and Q3 = 15
B. Q1 = 5 and Q3 = 14.5
C. Q1 = 5.5 and Q3 = 15
D. Q1 = 5.5 and Q3 = 14.5

Answers

I think D is the best option

HELP NEEDED QUICK

Find the measure of the missing angles.

Answers

Y- 64 X- 26 I believe these are the angles.

What is the answer for this -2 + 4

Answers

Answer:

[tex] - 2 + 4 = + 2[/tex]

I hope I helped you^_^

Answer:2

Step-by-step explanation:

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!

Answers

Answer:

A) 33

B) 58

Step-by-step explanation:

A is 33 because supplementary angles add up to 180 in total. 180 - 147 = 33, so its supplementary angle would be 33 degrees.

B is 58 because complementary angles add up to 90 in total. 90 - 32 = 58, so the complementary angle would be 58 degrees.

Answer:  33° and 58°

Step-by-step explanation:

147° and 32°

Two angles are called complementary when their measures add to 90 degrees. (90° - 32°) = 58°

Two angles are called supplementary when their measures add up to 180 degrees.  (180°-147°) = 33°

share out £20 between bill and sue in the ratio 3:2

Answers

Answer:

12:8

Step-by-step explanation:

Bill receives £12, and Sue receives £8.

In order to divide £20 between Bill and Sue in the ratio 3:2, we first need to find the total number of parts in the ratio. The sum of the parts in a 3:2 ratio is 3 + 2 = 5.

Next, we determine the value of one part by dividing the total amount (£20) by the total number of parts (5): £20 ÷ 5 = £4.

Now, we can allocate the money to Bill and Sue according to their shares in the ratio. For Bill, who gets 3 parts, we multiply his share of one part (£4) by 3: £4 × 3 = £12. For Sue, who gets 2 parts, we multiply her share of one part (£4) by 2: £4 × 2 = £8.

Thus, Bill receives £12, and Sue receives £8.

In mathematical terms, we can represent the division of £20 between Bill (B) and Sue (S) as follows:

Let the ratio be represented as B:S = 3:2.

Total parts in the ratio = 3 + 2 = 5.

Value of one part (Vp) = Total amount / Total parts = £20 ÷ 5 = £4.

Amount received by Bill (Ab) = 3 parts × Vp = 3 × £4 = £12.

Amount received by Sue (As) = 2 parts × Vp = 2 × £4 = £8.

Thus, Bill receives £12, and Sue receives £8.

In summary, when dividing £20 between Bill and Sue in the ratio 3:2, we follow the steps of finding the total parts in the ratio, calculating the value of one part, and then distributing the amount based on each individual's share in the ratio.

To know more about Ratio here

https://brainly.com/question/851332

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Can anyone help please?

Answers

Answer:

Blank 1: 18

Blank 2: 10

Blank 3: 12

Blank 4: 18

Blank 5: 1.5

Blank 6: 155

Blank 7: 224

Blank 8: 280

B & C

Step-by-step explanation:

If Enguun tutored for 19.5 hours last month, how much money did she earn last month?

Answers

uhh
how much money does enguun earn for every hour she works?

equation for the amount of sodium in 4 slices of bread 130,260, 390, 520

Answers

We can use a linear equation in this data set because we have a given rate of increase (sodium) over a given quantity (slices).

Therefore, we need to calculate the rate of change between both variables; how much sodium increases per the amount of slices of bread.

Calculating the slope:
• We are not given two coordinate pairs, so to calculate the slope, we need to know how much sodium is added per each piece of bread.
• We will take the difference of the sodium increases in the data set:

260-130 = 130

520-390 = 130

Therefore, the slope or rate of change is 130mg per 1 piece of bread. We can put this into a slope-intercept equation in the form of y=mx+b

Y=130x is the equation.

Please give Brainliest!
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