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

1. A length of rope is stretched between the top edge of a building and a stake in the ground. The
head of the stake is at ground level. The rope also touches a tree that is growing halfway
between the stake and the building. If the tree is 38 feet tall, how tall is the building?
stake
38 ft.
O 19 ft.
076 ft.
57 ft.

Answers

Answer:

I want to say the building is most likely 76 ft tall

What is the missing numerator?


blank over seven minus three-eighths equals twenty-seven fifty sixths


4

5

6

7

Answers

Answer:

6

Step-by-step explanation:

6/7 - 3/8= 27/56

Answer:

it is 6

Step-by-step explanation:

You have 64 coins, consisting of pennies, nickels, and quarters. The value of the coins is $4.60. You also know that you have three times as many nickels as quarters. Find the quantity of each type of coins


Number of pennies =


Number of nickels =


Number of quarters =

Answers

Answer:

There are 20 pennies, 33 nickels and 11 quarts.

Step-by-step explanation:

Total number of coins = 64 Amount of money = $4.60 = 460 cents

x = pennies   y = nickels   x = quarters

y x 3 = x

x + y + z = 64 coins

x + 5y + 25z

x + 4z = 64

x + 40z = 460

x = 20  z = 11

y = 3z = 33

HELP 25 POINTS LIKE HELP SOLVE THIS ASAP!!!

Answers

Answer:

nahhhh why did you report me I did nun wrong

Step-by-step explanation:

You are finding the total distance of a road trip by measuring the distance on a map. On the map the distance between 3 towns measure 2 7/16 inch, 1 5/8 inch, and 3 3/4 inch, repectively. What is the total distance of the trip on the map?

Answers

Answer:

The answer would be 7 and 13/16

Step-by-step explanation:

Hope this helps.

x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps​

Answers

Answer:

(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)

Step-by-step explanation:

Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlined

pa BRAINLEST pls

a group can plant 3/4 acres in 1 7/8. What os the unit rate in acres per day? Write your answer in simplest form.

Answers

1 3/5+7 8/9=9 2/5 is the correct answer

please be quick i dont have that much time

Answers

Answer:

To find the sum of interior angles in a polygon, we can use the formula:

[tex]180(n-2)[/tex] where n is the number of sides.

Since this is pentagon (5 sides), then [tex]180(5-2)=180*3=540[/tex]

The missing angle would then be

[tex]540-97-111-104-115=113[/tex]

Since angles on a straight line add up to 180, then

[tex]x+113=180[/tex]

[tex]x=67[/tex]

Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and x packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?

Answers

He only bought one pack of mushrooms

Answer:

The answer is 1 pack of mushroom

Step-by-step explanation:

14. They are symbols that denote silence and give the performer time to relax. * O a. notes O b.rests O c. time signatures​

Answers

Answer:

b.rests

Step-by-step explanation:

HOPE IT'S HELP

#PHILIPPINES

(x-4)^2-(x-4)(x+3)=35

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

(x -4)² - (x - 4)(x +3) = 35

x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35

x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35

x² - 8x +16 - [ x² -x - 12] = 35

x² - 8x + 16 -x² + x + 12 = 35

x² - x² - 8x + x  + 16 + 12 = 35   {Combine like terms}

-7x + 28 = 35

-7x = 35 -28

-7x = 7

x = 7/-7

x = -1

Find a point-slope form for the line with slope
and passing through the point (-4,-7).

Answers

Answer:

[tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, -7)

Slope m =  [tex]\displaystyle \frac{1}{5}[/tex]

Step 2: Find Equation

Substitute in variables [Point-Slope Form]:                                                    [tex]\displaystyle y - -7 = \frac{1}{5}(x - -4)[/tex]Simplify:                                                                                                             [tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]

what is 8 x ( 4 x 2 ) = ?

Answers

Answer:

64

Step-by-step explanation:

4*2 is 8

Multiply 8*8

Answer:

the answer is 64

Step-by-step explanation:

8(4*2)

=8*8

=64

6.
Identify the vertex of the parabola.



A. (−4, 0)

B. (−3, 1)

C. (1, −3)

D. (−1, −3)

Answers

Step-by-step explanation:

the vertex is the point, where the parabola turns around. it is (depending on its orientation, if it is opening upwards or downwards) the maximum or the minimum of the curve.

so, as we can see on the grid, that point is x = -3, y = +1 = (-3, 1).

so, B is correct

Answer:

B. (−3, 1)

Step-by-step explanation:

-3, 1 is the vertex I believe

-3,1 should be the one

which of the following is an example of a polynomial equation?​

Answers

Hi, can you please put options?

I need help plzzzzzzzz

Answers

Answer:

51

Step-by-step explanation:

Given:

c=3

d = 7

thus just substitute it in.

15+(3)^2 * (7) - (3)^3

15 + 9*7-27

15+63-27

=51

what is the scale factor?

Answers

Use this:

The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.

Answer:

1 2/3 is the scale factor

Step-by-step explanation:

So the scale factor either makes soemthing bigger or smaller

In this case it’s getting bigger

So we have one side already so we jsut find the value that was multiplied

so 9 * ? Is 15

You

d get 1 2/3

5x + 7y = 5 10x + 14y = 10 solve by elimination​

Answers

multiply the first equation by -2

The answer is:

x= 46/5

y= 5/7

A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?

Answers

Answer:

v is -8

Step-by-step explanation:

The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope, so let's write:

  y = -(2/9)x + b

We can find b by using the one fully given point, (-4, -6).

y = -(2/9)x + b

-6 = -(2/9)(-4) + b

b = -6 - (8/9)

b = -(62/9)

Now we have   y = -(2/9)x - (62/9)

We want the value of y when x is 5 to find v in (5,v):

y = -(2/9)x - (62/9)

y = -(2/9)(5) - (62/9)

y = -(10/9) - (62/9)

y = -(72/9)

y = -8

v is -8

Could you please help with this

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.

Answers

A ∩ B = { t,a }

This is because it is asked to find the common elements present in both sets.

We need to write only the same elements present in both sets.

Therefore, A ∩ B = { t,a } is the answer.

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

Answered by Benjemin ✍️

Solve pls brainliest

Answers

Answer:

If u double both numerator & denominator, this ration is 46/100

This answer is 46%

solve x. 24-8x=-16 and have a bless day

Answers

Answer:

x = 5

Step-by-step explanation:

24 - 8x = -16

Subtract 24 from both sides.

-8x = -40

Divide both sides by -8.

x = 5

Answer:

5

Step-by-step explanation:

24 - 8x = -16

24 + 16 = 8x

8x = 40

x = 40/8

= 10/2

= 5

Billy wants to save $3,720 so that he can buy the car he wants. If Billy can save $30 per day, how many days will it take him to save enough money?

Answers

It will take billy 124 days to save enough

Answer:

The Answer Above Is Right =)

Step-by-step explanation:

if the sum of two consecutive odd number is 12 find them​

Answers

Answer:

5 and 7

Step-by-step explanation:

Fast and loose: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7

Let's use algebra: let's call 2n+1 the first and 2n+3 the second.

Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor?

(x + 3)
(x + 7)
(x + 12)
(x + 13)

Answers

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor?
(x + 3)
(x + 7)
(x + 12)
(x + 13)

Answer:A

Step-by-step explanation:

Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24

Answers

Answer:

18) 3

20) -65

22) 12/5

24) -5/2

Step-by-step explanation:

18)  f(-5) = -[2(-5)+1] / 3

= -(-10+1)/3

= -(-9)/3

= 3

20) f(7) = -9(7)-2

= -63-2

= -65

22) f(-1) = -[(12 · -1)]÷5

= -(-12)÷5

= 12/5 or 2 2/5

24) f(9) = 2/9(9) - 9/2

= 2 - 9/2

= 4/2 - 9/2

= -5/2 or -2 1/2

pls help quick :( worth 20 pts

Answers

Answer:

Answer A

Step-by-step explanation:

From the image, it looks like the answer is y<1/2x+2 because the shading of the line is below, as well as the points of interception are 4 and 2. I hope this helps!

Writing quadratic functions

Answers

Answer:

So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...

Mountain ranges often appear on the edges of continents. What theory does this support?

Mountains were formed when Earth’s crust cooled and Earth shrank.
Mountain ranges were formed when continents collided.
Mountain ranges did not exist millions of years ago.
Mountain ranges were formed only by glaciers.

Answers

Answer: Its B!

Step-by-step explanation:

i just got it right :)

Answer: b. Mountain ranges were formed when continents collided.

Step-by-step explanation:

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