Mathematics College

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

A town has a population of 13,000 and grows at 4.5% every year what will be the population after 13 years to the nearest whole number

Answers

Answer:

23,039

Step-by-step explanation:

13,000×1.045¹³ ≅ 23,039

please help PLEASE help​

Answers

Answer:

14:1

Step-by-step explanation:

To find out how many kids go in each group, do 406 divided by 29, which gives you 14, therefore 14 students will go to each teacher, or 14:1

Answer: J 14 students over 1 teacher.

Step-by-step explanation:

divide 406 by 14 and you’ll get 29

Find the probability of 5 successes in 9 trials of a
binomial experiment in which the probability of
success in any one trial is 37%.
Round to the nearest tenth of a percent.

Answers

Answer:
13.8%
Step by step explanation:
P = nCr pʳ qⁿ⁻ʳ
P = ₉C₅ (0.37)⁵ (1−0.37)⁹⁻⁵
P ≈ 0.138
I hope it helps :8

Evaluate the following expression if x=4 28x - 9 (2x+ 6)​

Answers

Answer:

-14

Step-by-step explanation:

substitute 4 for x

28(4) - 9 (2(4)+ 6)​

multiply

112-9(8+6)

add numbers

112-9(14)

multiply

112-126

subtract

-14

Question
Find the area of the shaded region of the figure shown below. Use 3.14 for n and round your answer to the nearest tenth
L-15
W-9

Answers

Area of rectangle = 9 x 15 = 135
Area of half the circle = 0.5(3.14)(r^2) = 0.5(3.14)(20.25) = 31.7925
Area of shaded region = area of rectangle - area of half the circle = 135 - 31.7925 = 103.2

I need help thank you ​

Answers

Answer:

Maybe three

Step-by-step explanation:

Im not sure

Your building plan for your restaurant includes one men's and women's restroom. The city inspector lets you kno that you must have at least 400 square feet per bathroom. If your building is a total 4,000 square feet, how many square feet are left for the development other nonbathroom areas?

Answers

Answer: 3200 ft^2

Step-by-step explanation:

You have a total area of 4,000 ft^2.

In your plan, you will make two bathrooms (one men's restroom and one women's restroom)

We know that each one of them needs 400ft^2, then the total area needed is two times 400ft^2, or:

2*400ft^2 = 800ft^2

If we subtract this to the total area, we get:

4000ft^2 - 800ft^2 = 3200 ft^2

That is the square feet left for the development of other nonbathroom areas.

$924 at 10.4% for 30 months

Answers

$934.5071401
or $934.51 to the nearest cent
(i'm assuming this is a compound interest q - sorry if it isn't!)

David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?

Answers

Answer:

David share is 36 sweets

Step-by-step explanation:

let Lucy share be x

let David share be y

Lucy has 27 more

x=y+27

total sweet is x+y

y+27 +y= 2y+27

total ratio = 4+7=11

David share=

[tex]y = \frac{4}{11} \times (2y + 27)[/tex]

[tex]11y = 4(2y + 27)[/tex]

[tex]11y = 8y + 108[/tex]

[tex]11 y- 8y = 108[/tex]

[tex]3y = 108[/tex]

y=108/3= 36

during one year, a family made 4 trips to the water park. the distance from their house to the water park is 39 miles. how many miles did the family drive in 4 trips​

Answers

Answer:

156 Miles in 4 trips.

Step-by-step explanation: 39*4=156

Answer:

156 Miles

Step-by-step explanation:

If they drove 4 trips and each trip is 39 miles you would multiply 4x39

A company rents out 19 food booths and 26 game booths at the county fair. The fee for a food booth is
$175 plus $5 per day. The fee fora game booth is $50 plus $6 per day. The fair lasts ford days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the
company is paid.
The expression is


need help asap

Answers

Answer:$4669

Step-by-step explanation:

175x19=3325+5(4)=3345

1300+6(4)=1324

Tyler practiced the clarinet for 64% as much time as Han practiced the piano. how long did he practiced ​

Answers

Answer:

tyler practiced playing the clarinet for 48 mintues

Step-by-step explanation:

multiply 64% (.64) by 75

and it equals 48

The answer is 48 minutes

help PLZZ FAST
4 The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
4p2-2
0 25p2 + 1
25p2 - 10p - 1
25p - 1

Answers

Answer:

its 25p^2-1

Step-by-step explanation:

the two sides are (5p+1) and (5p-1) so just multiply them

i need help solving h=-5-(-7)

Answers

Answer:2

just make them into positive if there’s 2 negatives 7-5=2

Answer:

h=-5(-7)

We move all terms to the left:

h-(-5(-7))=0

We add all the numbers together, and all the variables

h-35=0

We move all terms containing h to the left, all other terms to the right

h=35

God bless you and have a wonderful day!

Solve.

−8y ≥ 56


a. y ≤ −7


b. y ≥ 7


c. y ≤ 7


d. y ≥ –7

Answers

Answer:

 I believe y ≤ -7 Sorry if I am incorrect

Step-by-step explanation:

I think the answer is A.

write a poem and don’t plagiarize please helpppp

Answers

Answer:

that is major cheating, I am so sorry I can't help

I agree with the person above but also writing a whole poem is too much. I could answer a math problem for you but not do this

Suppose f(x) =6x second power-4, what is f(-1)?

Answers

Answer:

f(-1)=6×(-1)^-4=6/(-1)^4=6/1=6

f(x)= 6x - 4 / f(-1)?
f(x)= 6(-1) - 4= -6 - 4= -10
f(x)= - 10
My answer for me

Which expression represents 3 times the sum of 7 and m ?

Answers

Answer:

3 (7+m)

Step-by-step explanation:

The correct expression is,

⇒ 3 (7 + m)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''3 times the sum of 7 and m''

Now, We can formulate;

⇒ 3 × (7 + m)

⇒ 3 (7 + m)

Thus, The correct expression is,

⇒ 3 (7 + m)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Data was collected on the amount of food (in grams) served at two restaurants and the price paid for the meal. The regression line for the data appears on the first plot. The second plot shows the regression analysis conducted when the data is analyzed separately for each of the two restaurants. Which of the following statements best describes the relationship between the variables?

a. The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.
b. The correlation between amount of food served and price is strong.
c. The correlation between amount of food served and price is weak within each restaurant, but seems strong when both restaurants are combined.
d. The correlation between amount of food served and price is weak.

Answers

Answer:

Option A, The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.

Step-by-step explanation:

The graphs for this question are provided in the attachment

Solution -

Graph I - the data points in the graph I do not follow any best fit curve or trendline. This indicates that data is not correlated.

Graph -II In graph II, apart from few outliners majority of data points lie on the best fist curve or the trendline.

Hence, the relation between the two variables i.e food served and price is strong.

Option A fits well for our answer hence it is the correct answer

A 2y-4х
6. Find the value of m if m = -2ab, a = -4, b= 6.
A8
B 48
C 12
D-48

Answers

The answer is D. -48

A placekicker for a football team makes field goals 55% of the time when kicking from the 35-yard line. Assume
that field goal attempts can be considered random events. Using the table, what is the probability that the
placekicker will make at least 3 of his next 5 attempts from the 35-yard line?
1
3
4
5
Field Goal
Probability
0
0.02
2
0.27
0.11
0.34
0.21
?
0.34
0.26
O 0.60
O 0.74
Mark this and return
Save and Exit
Next
Submit
that’s

Answers

Answer:

.34

Step-by-step explanation:

By using the table you would look at 3 (what the question wants which would be the x-value) and the y-value would be the answer.

Or you can use this calculator https://stattrek.com/online-calculator/binomial.aspx

and put in 55% for the success

5 for the amount of trials

and 3 for the success of the trials

calculated and you get .336 or rounded .34

3. Two coins are simultaneously tossed until one of them comes up a head and the other a tail. The first coin comes up a head with probability p and the second with probability q. All tosses are assumed independent. (a) Find the PMF, the expected value, and the variance of the number of tosses. (b) What is the probability that the last toss of the first coin is a head

Answers

Answer:

Step-by-step explanation:

From above-given information

Consider p to be the probability that the first coin comes up as head

Consider q to be the probability that the second coin comes up as tail.

Provided all tosses seems to be independent.

Then;

Let X represent no. of tosses, where X follows a geometric distribution with parameter;

p' = p(1-q) +q(1-p)

with probability mass function (pmf)

[tex]P(X = x) = ( 1 - p')^{x - 1} p'[/tex]

Thus, the mean (expected value) and the standard deviation can be computed as:

[tex]E(X) = \dfrac{1}{p'}[/tex]

[tex]\mathbf{E(X) = \dfrac{1}{p(1-q)+q(1-p)}}[/tex]

[tex]V(X) = \dfrac{1-p'}{(p')^2}[/tex]

[tex]\mathbf{V(X) = \dfrac{1-[p(1-q)+q(1-p)]}{[p(1-q)+q(1-p)]^2}}[/tex]

(b)

Suppose X represents that the first coin is head;

and Y represent the last toss

Therefore, the required probability is:

[tex]P(X|Y) = \dfrac{p(1-q)}{p'}[/tex]

[tex]P(X|Y) = \dfrac{p(1-q)}{p(1-q)+(1-p)q}[/tex]

For each question, decide whether or not it is a function. PLEASE HELP ASAP ALEKES ALGEBRA 2 MATH ILL GIVE BRAINLIEST

Answers

Your answers are right because the x's can not repeat

so 1.it is a function

2.it is a function

3.it is not a function bc "d" and "m" both repeat 2 times

4.it is not a function bc 2 repeats 2 times

Hope this helps

Have a great day/night

Feel free to ask any questions  

What is the slope of a line with points (3, 12)(7, 16)?


2


-2


-1


1

Answers

Answer:

the slope is 1

What is the value of q?
a. 4√5
b. 2√14
c. 20√5
d. 64√5

Answers

9514 1404 393

Answer:

  (b)  2√14

Step-by-step explanation:

The geometric mean theorems applicable to this geometry are ...

  q = √(4·(4+10))

  q = 2√14

__

Other unknowns

  r = √(10·(10+4)) = 2√35

  s = √(10·4) = 2√10

what is the equation of the line graphed below?​

Answers

It’s
Y=2x + 1

have a good day!

Write an equation of the parabola in intercept form

Answers

Well let choose

(3,2,25)


y a(x)(x-4)

2. 25 = a (3)(3 - 4)

2.25 a(3)(-1)

a= 2.25/ -3

a= -0.75


So
The answer is y= -0.75(x)(x-4

7. Original price: $32
Discount: ?
Sale price: $8

Answers

Answer:

The discount is $24 but if its percentage it is 75% off

Step-by-step explanation:

hope this helps

bir çift ve bir tek rakam kullanarak yazılabilecek en küçük 2 basamaklı doğal sayı kaçtı​

Answers

Oha Türksüz ama burası yurt dışı

27 points! please help me if you can <3 and yes I have been working on this for almost 4 hours

Answers

Answer:

330 milkshakes

Step-by-step explanation:

240 divided by 8 = 90

90 = number of large milkshakes

240 + 90 = 330

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