The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to be half as wide as it was originally. This resulted in a garden with a 34-foot perimeter. What is the area of the new smaller garden?

Answers

Answer 1

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

[tex]2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29[/tex]

So,

length = x

width = y = [tex]29-x[/tex]

The length is reduced by 7 feet and the width becomes half.

New length = [tex]x-7[/tex]

New width = [tex]\frac{1}{2}(29-x)[/tex]

New perimeter = 34 foot

[tex]2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19[/tex]

So,

New length [tex]=x-7=19-7=12\,\,foot[/tex]

New width = [tex]\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot[/tex]

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot


Related Questions

if 9/24 = 3/x then x is what?

Answers

Answer:

24

Step-by-step explanation:

Answer:

x=8

Hope this helps! Please mark Brainliest!

Tameca already has $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.

Answers

Answer:

9 weeks

Step-by-step explanation:

5 x 9 = 45

45 + 55 = 100

Answer:

55 + 5x ≥ 100.

5x ≥ 45.

Step-by-step explanation:

write the first equation shown above first, then subtract 55 from 55 and 55 from 100. do not use 0 later on in your equation! 100 - 55 = 45. then write the second equation. after you write the second equation, divide 5 by 5 and 45 by 5. do not use 0 later on in your equation! 45 divided by 5 = 9. she must save for 9 weeks. i hope this works! here is a picture of my work to help you understand it better! <3 it’s kind of blurry, but if you focus enough it’s easier to read.

f(x) = x2+9 g(x) = X-9 Find f(x)-g(x).​

Answers

Answer:

Hi there

Your answer is

x^2 -x +18

Step-by-step explanation:

( x^2 + 9 ) - (x-9)

x^2 + 9 -x +9

x^2 -x +18

Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is
is 1
Some of her measurements are shown in the table.
Enter numbers in the boxes to complete the table.
Eiffel Tower
Model 1
Model 2
(feet)
(inches)
(inches)
Height
984
11.808
Width of
328
Base

Answers

Complete question :

Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is 1/4

____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)

Height _______ 984 ______11.808 ____?

W of base ____ 328 _______? _______?

Answer:

Model 1 :

Width of Base = 328 * 0.012 = 3.936 inch

Model 2 :

Height = 11.808 * 4 = 47.232 inches

Width of base = 4 * 3.936 = 15.744 inches

Step-by-step explanation:

____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)

Height _______ 984 ______11.808 ____?

W of base ____ 328 _______? _______?

Scale factor of Model 2 to Model 1 is 1/4

Model 1 : Model 2

1 : 4

The scale factor of actual tower to model 1

984ft = 11.808 inches

Hence,

1 ft = 11.808 / 984

1 ft = 0.012 inch

Model 1 :

Width of Base = 328 * 0.012 = 3.936 inch

Since ;

Model 1 : Model 2 ; 1 / 4

1 : 4

Model 2 :

Height = 11.808 * 4 = 47.232 inches

Width of base = 4 * 3.936 = 15.744 inches

Can someone help me find the scale factor and the missing sides please?

Answers

Answer:

x = 6, y = 45

Step-by-step explanation:

[tex]scale \: factor = \frac{13}{32.5} \\ = \frac{2}{5} \\ \\ \frac{x}{15} = \frac{18}{y} = \frac{2}{5} \\ \\ \implies \frac{x}{15} = \frac{2}{5} \\ \\ x = \frac{2 \times 15}{5} \\ \\ x = 6 \\ \\ \frac{18}{y} = \frac{2}{5} \\ \\ y = \frac{5 \times 18}{2} \\ \\ y = 45[/tex]

Solve for I.
-9x + 5 < 17 AND 13+ 25 < -1

Answers

Answer:

answer it is 17 for real it is

the 87 person team has 1/2 of a water cooler left, how much should each person get?

Answers

Answer:

0.574%  each

Step-by-step explanation:

1/2 : 87 = 0.00574

0.00574 * 100 = 0.574% each

Which of the following is an example of a linear equation in slope intercept form?

Answers

a. slope intercept form is y=mx+b so the slope is 4 and y intercept is -5.

You are a contractor and charge $65 for a site visit plus an additional $15 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $950 working at two separate work sites.

Answers

Answer:

54.6 hours

Step-by-step explanation:

65x2 is 130 130-950 is 820 then 820 divided by 15 is 54.6 therefore meaning you have to work 54.6 hours to get 950$ you can check this by doing 54.6x15+130, might not be exact because i rounded to the nearest tenth.

Hope this helps!

How many angles are there?

Answers

Answer:

There are 7 angles.

Step-by-step explanation:

Which ones better? How much more r u saving?

Answers

Answer:

2 L bottle for 1.69

the unit price for the two liters is cheaper than one for 12 pack

10x+2y=-30 x and y intercept

Answers

10 is the x intercept and 2 is the y intercept

You had $21 to spend on three pens .After buying them you had $12 how much did each pen cost

Answers

I thinks it’s 3 because 21-12=9 so you spent 9 dollars 9/3=3

A rectangle’s width is 8 inches long. If the length is 3 times the width, what is the perimeter of the rectangle?

Answers

Answer:

the perimeter is 64

Step-by-step explanation:

the length is 24 because 8*3 = 24 and since it is perimeter  of a rectangle there are two sides that are the same length which  is the length are 24+24 and width is 8+8 and all together

24+24+8+8=64

Graph the linear function described by the equation
y = -3x - 2.
Step 1: Identify the slope and y-intercept.
slope =

Answers

The slope of given line is -3 and the y-intercept of the line is -2.

What is Straight Line?

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

Here, we know that slope intercept form of straight line;

            y = mx + c

Given equation;

          y = -3x - 2

compare this equation with general equation, we get

    m = -3 and c = -2

Thus, The slope of given line is -3 and the y-intercept of the line is -2.

Learn more about Straight line from:

https://brainly.com/question/27560536

#SPJ1

Answer:

Graph the linear function described by the equation

y=-3x-2

Step 1: Identify the slope and y-intercept.

slope =

Step-by-step explanation:

if your gross pay was $365 and your net pay was $313.90 what percent of your pay went towards deductions

Answers

I believe it would be 15%

Please hurry!! (But no rush, thank you)

Answers

Answer:

The answer is d 3 to the power of 108

Answer:

c

Step-by-step explanation:

:) srry if its wrong

please help me with this ​

Answers

Answer:

C) [tex] {6}^{6} [/tex]

Explanation:

[tex] \frac{ {6}^{9} }{ {6}^{3} } = {6}^{9 - 3} = {6}^{6} [/tex]

HELP PLEASE SIXTH GRADE GUYS

Answers

Answer:

-3

Step-by-step explanation:

The answer would be -3.


Exhibits
If the measure of b is 85 degrees, what must be the measure of d? Explain.
Math symbols

Answers

Answer:

d = 95

Step-by-step explanation:

b and d are a linear pair, so the sum of their measures is 180 deg.

b + d + 180

85 + d = 180

d = 95

Answer:

If the measure of b is 85 degrees, what must be the measure of d?

Step-by-step explanation:If the measure of b is 85 degrees, what must be the measure of d?

What is Addition property of equality
a. If a=b, then a+c=b+C
b. If a=b, then a-c=b-c
c. If a=b, then acaba
d. If a=b, then a/c=b/c

Answers

a b and d

not c

dont put c

Which numbers are a distance of 5 units from 3 on the number line?

Write your answer : ___ and ___

Answers

3 + 5 = 8

3 - 5 = -2

-2 and 8

Which of the following expressions is not equivalent to -4.5 • -8?
A) (8)(-4.5)
B) 8.4.5
C) -8.-4.5
D) (4.5)(8)

Answers

Answer: (8)(-4.5)

Step-by-step explanation: If you were to multiply -4.5 • -8 it would be a positive number but if you multiply (8)(-4.5) that would equal a negative number

this is 8th grade math and i dont understand it

Answers

The answer is W. The y -intercept of a graph is the point where the graph crosses the y -axis.

Which of these is NOT a major organ of the circulatory system?*
O heart
veins
capillaries
O arteries
O lungs

Answers

Answer:

Lungs im pretty sure

Answer:

Lungs are not part of the circulatory system. They're part of the respiratory system

Step-by-step explanation:

Select all input values for which f(x)=6
Choose all answers that apply:
a) x=-7
b) x=-5
c) x=2
d= none of the above

Answers

Answer: none of the above

Step-by-step explanation: there is no such input value.

Answer:

None of the above because none of the other answers make sense

Step-by-step explanation:

(3,4)(4,-3)(7,4)(3,8)
Is it a function ?

Answers

Answer:

yes

Step-by-step explanation:

Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1). PLZ HURRY!

Answers

Answer: Y= -1/4x + 1 1/4

Step-by-step explanation: Perpendicular means the slope will be negative reciprocals

Noah ordered 16 cupcakes and paid $40. Jada ordered 52 cupcakes and paid $104. Did they pay the same rate?

Answers

No

Reason: 40 divided by 16 is 2.5 and 104 divided by 52 is 2, so noah would have paid 5 cents more
no they didn’t,

16 x 2 = 52 cupcakes

$40 x 2 = $80

Jada did NOT pay the same rate, she payed $24 more that Noah

Is 2,710,506 divisible by 8? ​

Answers

Answer:

no

Step-by-step explanation:

Other Questions
How do scientists explain the slow rotation of the sun with respect to the rest of the solar system? PLEASE HURRY WILL GIVE BRAINLIEST. Find the quotient: -37.44/4.8 Select the correct answer from each drop-down menu. Complete these sentences about the Babylonian civilization. The Babylonians were great supporters of art and architecture. Their most well-known achievement in architecture was the . This achievement was a wonder in a land that was mainly made up of deserts and mountains. The is named for one of the most famous rulers of Babylon. The citizens of Babylon had to follow this collection of rules and laws. The Babylonians practiced , but Marduk was their main god. What did the idea of Manifest Destiny mean?A. The United States should include all of North America.B. The United States should include all of Mexico.C. The United States should join with Canada to form one nation.D. The United States should reach from the Atlantic Ocean to thePacific Ocean. Big Foot produces sports socks. The company has fixed expenses of $80,000 and variable expenses of $0.80 per package. Each package sells for $1.60. The number of packages Big Foot needed to sell to earn a $24,000 operating income was 130,000 packages. If Big Foot can decrease its variable costs to $0.70 per package by increasing its fixed costs to $95,000, how many packages will it have to sell to generate $24,000 of operating income? Is this more or less than before? Why? Begin by identifying the formula to compute the sales in units at various levels of operating income using the contribution margin approach. ( Fixed expenses + Operating income ) Contribution margin per unit = Sales in units (Round your answer up to the nearest whole unit.) Big Foot will have to sell packages to generate $24,000 of operating income. One of the most important applications of ratio analysis is to compare a companys performance with that of other players in the industry or to compare its own performance over a period of time. Such analyses are referred to as a comparative analysis and trend analysis, respectively. A common size analysis requires the representation of financial statement data relative to a single financial statement item (or base account or value). What is the most commonly used base item for a common size balance sheet? Net income Earnings before interest and taxes Total assets Net sales I've attached a picture plz help Choose the mood of the underlined verb.If I were you, I'd hike up Bridal Veil Falls.A. indicativeB. imperativeO C. subjunctive is, is underlined Is, is underlined What is the utility of tissues inmulti-cellular organisms? PLS HELP Which function represents the transformation that moves figures to the right 3 units and down 7 units? Please help me out on this! Would be greatly appreciated Which of these Acts forced American colonists to allow British troops to stay in their homes?A. the Declaratory ActB. the Stamp ActC. the Sugar ActD. the Quartering Act What country does this flag represent Which of the following is a rational number?A) v15B) v16C) v17D) v18(the v is supposed to be the square root sign) What is the answer of 6xy + (-9xy) Determine whether the ratios form a proportion. A) Yes, ProportionalB) No, Not Proportional 14. What is the rate if the distance traveled is 360 miles for 6 hours? Hamburgers are sold in packages of 20, while buns are sold in packages of 12. What are the least numbers of packages you should buy inorder to have the same number of hamburgers and buns? If a drag racing car accelerated at 69 miles per second in 0.25 s, what is the acceleration of the car As people entered the gym for a volleyball tournament, members of the pep club wereselling $3 raffle tickets for a tablet and $4 raffle tickets for a gaming system. The numberof $4 tickets sold was four more than one half the number of $3 tickets sold. The pep clubraised $636 from the ticket sales. Write a system of equations to represent thegiven scenario