In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?

Write the equation and your solution.

Answers

Answer 1

Answer:

i dk and stop callin me slime

Step-by-step explanation:

Answer 2

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Equation is [tex]w^2+4w-60=0[/tex]

Given :

a rectangular flower bed is designed to be 4 meters longer than it is wide

60 square meters are needed for the plants in the bed.

Let 'w' be the width of the flower bed

and 'L' be the length of the flower bed

Length is 4 meters longer than its width

Length L= w+4

We know that the area of rectangle = length times width

[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]

Given that the area is 60 square meters

Replace A by 60  and solve for 'w'

[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]

Width cannot be negative, so width = 6 meters

length = width +4 = 6+4=10 meters

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Learn more: brainly.com/question/19579804


Related Questions

$99.99, 19% discount​

Answers

Answer:

$80.99

Step-by-step explanation:

Turn the percentage into a decimal.

19% -> 0.19

Multiply.

99.99 * 0.19 ≈ 19

Subtract.

99.99 - 19 = 80.99

Best of Luck!

10 Determine the area of the figure. 9 cm 6 cm 12 cm​

Answers

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Calculation of an area:

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices

A.No answer text provided.

B.5z

C.4z3 + 5z2 + z

D.4z3 + 5z2

E.9z2 + z

Answers

I know the answere it is c

Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2

Answers

The answer is a I just did it :)

2) 8x +9y = 82
2x + 2y = 20

Answers

X=8 and y=2 solved using elimination

A collector has 2792 coins
altogether. Half of the coins
are on display. The collector
buys more coins at an auction
so that the coins on display
are now 40% of the collection.
How many coins are bought at
the auction?

Answers

Answer:

3490 coins

Step-by-step explanation:

Given data

Total coins= 2792 coins

Half of the coins are on display

that is 50% are on display

=2792/2

=1396

let the coins bought be x

40% of x= 1396

40/100*x= 1396

0.4x= 1396

x=  1396/0.4

x=3490

Hence 3490 coins were bought

Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4

Answers

Answer:

A. -16

Step-by-step explanation:

Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].

We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.

When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is​

Answers

Answer: 97%

Step-by-step explanation:

15% + 38% + 44% = 97%

−3.64⋅|−5.3|−1.5^3

help pls

Answers

Answer:

5

Step-by-step explanation:

its 45

Answer:

-22.667

Step-by-step explanation:

-3.64(5.3) - (1.5)³

-19.292 - 3.375 = -22.667

write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)

Answers

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?

Answers

Answer:

168

Step-by-step explanation:

First, find the unit rate (the amount it increases with every 1/8)

147 ÷ 7 = 21

Next, multiply that by the denominator (8)

21 x 8 = 168

The answer is 168

Answer:

1/168

Step-by-step explanation:

hope this is right but you divide both of them

Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?

118.4 divided by 6.4 ?

Answers

Answer:

18.5

Step-by-step explanation:

Answer to question: 18.4

Solve for a

a² + 7a - 8 = 0

Answers

Answer:

a=-8

Step-by-step explanation:

please help. I can't find answer.

Answers

Answer:

-1,5

Step-by-step explanation:

What is the value of y?
What is the area, in square inches, of the rectangle

Answers

Answer:

Part A:  y = 3

Part B:  Area = 60 sq units

Step-by-step explanation:

we can create this system of equations from the information given:

8y + 2x = 34

10y + 2x = 40

now we can subtract to get:

-2y = -6

y = 3

solve for 'x':

8(3) + 2x = 34

24 + 2x = 34

2x = 10

x = 5

Area of Rectangle is 12 x 5

-9(x+2)=54 apply the distributive property and simplify ​

Answers

Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

-9x = 72

x = -8

Hope this helps :)

Let me know if there are any mistakes!!

Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?

Answers

She gave her sister 6 stickers. 41 divided by 7 = 5 with a left over of 6 stickers left.

Answer:

5 to each group and she gave 6 stickers to he sister

What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?

Answers

9514 1404 393

Answer:

  x -3y -7 = 0

Step-by-step explanation:

The general form of the equation for a line is ...

  ax +by +c = 0

where a, b, c are mutually prime and the leading coefficient is greater than zero.

__

The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...

  rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope

For the given point and slope, we have ...

  1(x -1) -3(y -(-2)) = 0

  x -3y -7 = 0

Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?

Answers

Answer: 18.15 miles

Step-by-step explanation:

The answer is 18.15 miles

(4+4)÷22×2

plss someone answer hurry <3

Answers

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

Answer:

0.72

Step-by-step explanation:

PLS HELP GIVING BRAINLESS TO FIRST PERSON PLS HELP

Answers

The answer to this question is A x<8

What is the fraction 7/12 as a product of a whole number and a unit fraction

Answers

Answer:

7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.

Step-by-step explanation:

I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?

Answers

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

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