Community planners are planning to build a new community garden. They agree that the garden will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the length would remain at 15.8 yards but that the width would increase by 5.2 yards. So, the garden would now cover an area of 327.65 square yards.

Which equation can be used to determine the original width of the garden, w?
1: 327.65 = 5.2 (w + 15.8)
2: 327.65 = 15.8(w +5.2)
3: 327.65 = 2 (w +21)​

Answers

Answer 1

Answer:

2)

Step-by-step explanation:

To find the original width, multiply 15.8 by w, and by 5.2.

You'll get 327.65 = 15.8w + 82.16.

Next, do the opposite of the symbol from both sides, 327.65 - 82.16 = 15.8w + 82.16.

The constant is 82.16, and the symbol is +, the opposite of plus is -, and thus subtract the constant from both sides.

You'll get 245.49 = 15.8w.

Now do the opposite of the symbol (a number next to a variable is multiplication, so do division, and divide 15.8 on both sides.

245.49/15.8 = 15.8w/15.8, which equals 15.5373417722.


Related Questions

Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8

Answers

You have to take a poll.

x2-8x+12=0


Someone help me

Answers

[tex]\large\boxed{\tt\:Question}[/tex]

x² - 8x + 12 = 0

Hello meremyj! Here's your answer with explanation.

[tex]\large\boxed{\tt\:Answer\:with\:Explanation}[/tex]

[tex]x ^ { 2 } - 8 x + 12[/tex]

Use the biquadratic formula =》 [tex]x=\frac{-b±\sqrt{\left(-b\right)^{2}-4 ac}}{2}[/tex]

Now,

   b = 8    c = 12    a =  1

Using the biquadratic formula & substituting the values....

[tex]x=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-48}}{2} \\x=\frac{-\left(-8\right)±\sqrt{16}}{2} \\x=\frac{-\left(-8\right)±4}{2} \\\underline{\underline{x=\frac{8±4}{2}} }[/tex]

Now, solve when  [tex]x=\frac{8+4}{2}[/tex]

[tex]x=\frac{8+4}{2}\\x=\frac{12}{2} \\\boxed{\bf\:x=6 }[/tex]

Now, solve when [tex]x = \frac{8-4}{2}[/tex]

[tex]x = \frac{8-4}{2}\\x = \frac{4}{2}\\\boxed{\bf\:x=2}[/tex]

______________

The value of  x  can be 6 & 2.

______________

Hope it'll help you!

Lucäžž

What is the value of the rational expression 6-x/x+5 when x = 2?

4/7
4/5
8/7
8/5

Answers

Answer:

4/7

Step-by-step explanation:

6 -2/2+5 = 4/7

thats it simple

Answer: 10

Step-by-step explanation:

6-x/x+5

6-(2)/(2)+5

Order of Operations

6-1+5

5+5

10

A new school will have three playgrounds. Two playgrounds will be large and one playground will be small. The district administrator had 3 5/8 truckloads of concrete delivered for each of the two large playgrounds and 1 9/10 truckloads of cement delivered for small playground. If the cost of the concrete is $2,000 per 1/2 truckload, the concrete for the three playgrounds will cost $_____.


Blank options

-18,300

-22,100

-32,600

-36,600


plz help I don't understand this at all.

Answers

Answer:

you multiple two numbers and you devide both sides you get the answer

What is the area of the shaded portion of the square?

Answers

Answer:

Maybe 34cm

Sana makatulong..

Answer:

144.5 cm^3

Step-by-step explanation:

17 x 17 = 289
289 divided by 2 (because half of the square is shaded)

Which equals 144.5 cm ^3

Please help
4(x+8)+2=1/2(8x+60)

Answers

Answer:

This is a contradiction

Write two algebraic expressions that have -10m as one of the terms in their product. ​

Answers

Step-by-step explanation:

Given,

The product of Algebraic Expression is equal to the ________ of their H.C.F& L.C.M.

Solution,

Consider the the numbers are a, b.

a \times b = LCM\,of\,\left( {a,b} \right) \times HCF\,of\,\left( {a,b}Given,

cellus If investments double every 7 years and you start with a $600 investment, how much money would you have after 21 years? ​

Answers

Answer:

4800$

Step-by-step explanation:

1 day = 600

7 years = 600 x 2 = 1200$

14 years = 1200 x 2 = 2400$

21 years = 2400 x 2 = 4800$

please help I don't understand what it wants :(
NO LINKS!!!!!!!!

Below are two parallel lines with a third line intersecting them.

× = ____ °​

Answers

Answer:

x=116°

Step-by-step explanation:

we have two parallel line and x=116

Which number represents a square root of 3 [cos(pi/2) + i sin (pi/2)]?

Answers

Answer:   Choice B

===========================================================

Explanation:

We use De Moivre's Theorem. It says that if you started with

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

then raising both sides to the nth power leads to

[tex]z^n = r^n*\left[\cos\left(n*\theta\right)+i*\sin\left(n*\theta\right)\right][/tex]

The term out front r is raised to the nth power. We also have copies of n inside the trig functions.

The square root operation undoes the squaring operation, so we'll be dealing with n = 2.

If you were to go through each answer choice, then you'll find that squaring choice B will lead to the original expression given.

[tex]z = \sqrt{3}*\left[\cos\left(\frac{\pi}{4}\right)+i*\sin\left(\frac{\pi}{4}\right)\right]\\\\\\z^2 = (\sqrt{3})^2*\left[\cos\left(2*\frac{\pi}{4}\right)+i*\sin\left(2*\frac{\pi}{4}\right)\right]\\\\\\z^2 = 3*\left[\cos\left(\frac{\pi}{2}\right)+i*\sin\left(\frac{\pi}{2}\right)\right]\\\\\\[/tex]

Note that working this process in reverse means we apply the square root and we'll go from the expression in choice B to the original expression again.

The complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number in the trigonometric form:

Z = √(3[cosπ/2 + i sinπ/2])

It is required to find the square root of the complex number.

To find the square root of the complex number we can use the De Moivre's theorem:

If

Z = r[cosθ + i sinθ]

Zⁿ = rⁿ[cosnθ + i sinnθ]

Using the above theorem:

Z =  √3[cos[(1/2)π/2] + i sin[(1/2)π/2]]

Z =  √3[cosπ/4 + i sinπ/4]

Thus, the complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ5

A group of 169 students needs to be seated in a square formation for a
yearbook photo. Solve the equation N² = 1,024 to find how many students
should be in each row. ASAP

Answers

We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

[tex]r = \sqrt{169} = 13[/tex]

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows N can be calculated as :-

[tex] {N}^{2} = 1024[/tex]

[tex]N = \sqrt{1024} [/tex]

[tex]N = 32[/tex]

Final Answer :-

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

--------------------------------------

When Sammy's school bus has traveled 4.3 miles, he has completed only 40% of his trip home from school. How many miles does Sammy travel on the school bus from school to home?

Answers

Answer:

10.75 miles

Step-by-step explanation:

Kathy is laying stepping stones in her garden the stones are 8 inches long and she wants to create a path that is 10 feet long how many stones will she need

Answers

Answer:

15 stones

Step-by-step explanation:

1) It is easier to convert to one unit. So i chose to convert everything to inches.

1 foot = 12 inches

10 feet = 120 inches

2) we then simply divide the size of the stones to see how much we need to cover the path

120/8 = 15 stones  

The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?

Answers

Answer:

each company will earn $38 when they ship a 12-pound package

Step-by-step explanation:

you can solve this algebraically by setting up two equations:

let 'c' = charges per pound

Lone Star:  y = 2c + 14

Discount:  y = 1.5c + 20

now set each equation equal to the other to solve for 'c':

2c + 14 = 1.5c + 20

subtract 14 from each side to get:

2c = 1.5c + 6

subtract 1.5c from each side to get:

0.5c = 6

c = 6/0.5

c = 12

if you plug 12 in for 'c' in each equation you will get y = 38

(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package

Solve pls with explanation!


((mn^8)/n^9 )^3


WILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

m is only raised to the 3rd power. The 8 effects only the n

Numerator

m^3

(n^8 )^3 = n ^24

denominator

(n^9)^3 = n^27

Answer: m^3 * n^24 / n^27 = m^3 / n^(27 - 24) = (m/n )3

Hi!

Given:

[tex](\cfrac{mn^8}{n^9} )^3[/tex]

First, let's do what is inside the parenthesis. Since we're dividing, we subtract unlike exponents, and if there are any negatives, we switch them to make them positive:

[tex]8-9=-1[/tex]

Switch since it's negative:

[tex]\frac{m}{n} ^3[/tex]

what is 6.38 to 1 decimal place​

Answers

Answer: Is 6.4

Step-by-step explanation: I hope I helped in some way shape or form.

Anyone wanna hope on a meet

Answers

Answer:

yes I would like to hope on a meet that will be fun

the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?

Answers

The container can hold 26 gallons.


1/3 is equal to 2/6
After 13 gallons, it went up to 5/3, meaning it went up by 3/6.
Since you wanna find the total gallons, 6/6, you just multiply 13 by 2 since 3/6 is half the container.

13 x 2 = 26

1.
Use the quadratic function to predict y if x equals 6.

y = 2x^2 − 2x − 2

A. y = −58

B. y = −60

C. y = 60

D. y = 58

Answers

Answer:

D. y = 58

Step-by-step explanation:

Answer:

The value of the polynomial   is 58 for x = 6.

Step-by-step explanation:

Here, the given quadratic function polynomial is given as:

or,  

Now, to find the value of y, when x = 6

⇒  

                 = 2(36 - 6 -1)  = 2(29)  

                 = 58

⇒y(6)  = 58

Hence, the value of the given polynomial   is 58 for x = 6.

Convert 1/3 to a percent

Answers

Answer:

33 1/3%

Step-by-step explanation:

           

Answer:

33.3%

Step-by-step explanation:

We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:

1/3 = 0.33333333333333

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.33333333333333 x 100 = 33.3333%

(Hope this helps can I pls have brainlist (crown)☺️)

Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?

Answers

Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D

What is the perimeter of a regular decagon with sides of 14 inches?​

Answers

Answer:

140 inches

Step-by-step explanation:

one decagon has 10 sides

14*10= 140

Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C​

Answers

Answer:

1. Loss ₹50

2. - 60

3. 50 km towards North

4. 1000

5. - 30

6. - 15° C

what is the answer to 5+3x(5-2) ^2

Answers

Answer:

576

Step-by-step explanation:

5 + 3 = 8

5 - 2 = 3

8 x 3 = 24

24 to the second power is 576

Answer:

27x+5

Step-by-step explanation:

5+3x(5-2)^2

5+3x(3)^2

5+3x*9

5+27x

27x+5

What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.

Answers

Answer:

Well to calculate slope you just do

y2-y1/ X2-x1

In this case

9-8/3-2

Which is 1/1

THe slope is 1

Answer:

1

Step-by-step explanation:

The slope is going to be the ratio between the difference of y coordinates, and the difference in x coordinates.

[tex]m= \frac{\Delta y}{\Delta x} = \frac{3-2}{9-8} = \frac11 = 1[/tex]

Without graphing, find the slope of the line that goes through (2,-1) and (6,1)

Answers

Answer:

-7

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-1-6/2-1

-7/1

= -7

solve pls brainliest

Answers

Answer:

1)36

2)1/36

Step-by-step explanation:

Hope it can help you lovelots

A new car is purchased for 24500 dollars. The value of the car depreciates at 14.75% per year. What will the value of the car be, to the nearest cent, after 14 years?

Answers

Answer:

$258

Step-by-step explanation:

Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms

Answers

Answer:

A

Step-by-step explanation:

Answer:

conversion from gram to kilogram

u divide the gram by 1000

which is 722/ 1000

=0.722kilograms

i.e answer is A

Solve the quadratic equation by completing the square.

x? + 10x + 22=0

First, choose the appropriate form and fill in the blanks with the correct numbers.

Then, solve the equation. If there is more than one solution, separate them with commas.

Answers

X is -2,first x plus 10x plus 22 equals 0,so if plus 22 is zero than x minus 10x than plus 22 than you got it,0
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