A gardener who wants a rectangular garden whose lot perimeter is 40 meters is suggested by a fellow gardener a plan that would make it so that the build would have a maximum lot area. What could be the suggestion? You must answer in a mathematical solution. Show work.

Answers

Answer 1

Answer:

a*(20-a)

Step-by-step explanation:

Let's assume that the length of the garden is a the width is b and the area is s.

b = 40/2 - a = 20-a

s =a*(20-a)=-a^2+20a=-(a-10)^2+100

then,

when a=10, max(-(a-10)^2) =0, max(s)=100


Related Questions

help me pls it is on a time i got 30 minutes left

Answers

Answer:

C.

Step-by-step explanation:

sorry if im wrong

Answer:

i believe that the answer would be D

Step-by-step explanation:

the slope is positive eliminating the first 2 answers. it goes over and up about one so that leaves C and D

I need help with this

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx.

Answer:

D, last one

bottom right

y=-3x+10

Step-by-step explanation:

can someone please tell me what to do in this question im so confused

Answers

im no expert but i think its
input: x,independent variable ,domain
output: y, dependent variable , range
extra: f(x) , discrete, and slope

The graph of a function is shown:

Which of the following correctly identifies the set of outputs?
O {(-3,2), (-2, 1), (3, 3), (3, -1)}
O {(2, -3), (1, -2), (3, 3), (-1,3)}
O {-3, -2,3}
O {-1, 2, 3}

Answers

Answer:

C, (-3, -2, 3)

Step-by-step explanation:

I literally just had this question and i got a 100. You just find what the points are, and choose the y-axis point because it's the output, like the x-axis point is the input. So for starters, we can look at the point in the upper right square corner on the grid. You would go to the left 3 times, along the x-axis, and it would be -3. Then you would go up 2 times, along the y-axis, and it would be positive 2. So the plot for that point is (-3, 2) but we want the output which is the y-axis so it would be 2. Do the same with all of the points. [you can already rule out the first 2 choices because that's giving all of the points, not just the outputs] That leaves you with the bottom 2 and only one of the choices has the positive 2 which we already found. Hence, the answer is C. Trust me, it's not hard, i didn't have to read anything, i just figured it out. And if i can, you can. You got this!

Danielle’s retirement income is $90,000. Assuming it is 70% of his final salary, what was her final salary?

$63,000
$90,000
$128,571
$140,595

Answers

Answer:

Correct ✅ answer ✅ - Danielle's retirement income is $90000. Assuming it is 70 % of his final salary, what was her final salary $63000 $90000 $128571 $14.

NEED HELP ASAP!!!!!!!!

Answers

Answer:

with what

Step-by-step explanation:

Answer:

WHAT?!?!?!?!!?!

Step-by-step explanation:

at the book fair 26 books were sold in the first 2.5 hours at this rate how many books will be sold in the 10 hours of the book fair

A. 78
B. 26
C. 104
D. 52​

Answers

Answer:

Step-by-step explanation:

if 26 books were sold in 2.5 hours

26 books.......................................2.5 hours

? books............................................10 hours

the books sold in 10 h

=(26*10)/2.5=104

Hey,

Answer ;

C

2,5→26

10→x

2,5.x=26.10

2,5x=260

25x=2600

x=104

Good luck^-^

What is the slope of the equation y-5=-3x?
5
3
-3
-8

Answers

You’re slope would be -3 this is the correct answer

Alice spent $131 on shoes. Flip flops cost $15 and Sneakers cost $28. If she
bought a total of 7 shoes, then how many of each kind of shoe did she
buy? Write the answer as an ordered pair...(flip flops, sneakers). Do not
include the units. *

Answers

Answer:

Flip flops = 5

Sneakers = 2

Step-by-step explanation:

Let

x = flip flops

y = sneakers

x + y = 7 (1)

15x + 28y = 131 (2)

From (1)

x = 7 -y

Substitute x = 7 - y into (2)

15x + 28y = 131

15(7 - y) + 28y = 131

105 - 15y + 28y = 131

-15y + 28y = 131 - 105

13y = 26

y = 26/13

= 2

y = 2

Substitute y = 2 into (1)

x + y = 7

x + 2 = 7

x = 7 - 2

= 5

x = 5

Flip flops = 5

Sneakers = 2

-7.5x + 0.25 = -5.75
The value of x is =

Answers

Answer:

x = 4/5

I hope this helps!

Answer:

x = .8

Step-by-step explanation:

-7.5x = -5.75 - 0.25

-7.5x = -6.0

-6.0/-7.5 = .8

For the month of march, Kasey plans to vacuum her floor every fourth day and clean her bathroom every seventh day if she begins this march 1, on what day of the month will she do both jobs?

Answers

Answer: March 28

Step-by-step explanation:

Solve for this by checking for the lowest common multiple of 7 and 4.

Multiples of 7: 7, 14, 21, 28, 35

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.

What is the value of s ?

Answers

Answer:

The value is 17

Step-by-step explanation:

This is because to find the hypotenuse you use the equation [tex]a^{2} + b^{2} =c^{2}[/tex].

So you would square 15 and 8 then add them up to get [tex]c^{2}[/tex]. After this you just need to find the square root of [tex]c^{2}[/tex] to get "c" by itself or in this case "s".

Paula is a banker who earns $15 per hour. If Paula worked 63 hours at her job, how much money did she earned? Please answer this is for my sister

Answers

paula made $945 if you multiply $15 x 63

What is compound interest?
What is simple interest?

Answers

Answer: Is below

Step-by-step explanation:

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Answer:

See below.

Step-by-step explanation:

[tex]\boxed{\underline{\text{Compound Interest}}}[/tex]

Compound interest is earned on an investment when the interest earned for each period is added to the previous principal.

Compound interest formula:

[tex]\Longrightarrow: \sf{A=P(1+\dfrac{r}{n})^n^t}}[/tex]

A: represents the current balance or compound amount in the account.P: represents the principal (the original amount deposited).R: annual interest rate (in decimal form).N: the number of times per year that interest is compounded.T: time in years the money has been invested.

[tex]\boxed{\underline{\text{Simple interest}}}[/tex]

A simple interest investment is one that earns interest only during the first period but does not earn interest thereafter.

Simple interest formula:

[tex]\Longrightarrow: \sf{I=PRT}[/tex]

I= InterestP= PrincipalR= RateT= Time

I hope this helps, let me know if you have any questions.

Learn more about how to solve with compound interest and simple interest at:

https://brainly.com/question/14740098

https://brainly.com/question/17282817

How do you write a slope parallel to a line?

Answers

Answer:

slope is m. Parallel means it has the same slope as the line it's parallel to. Let's say the slope of line 1 is 3, and your y intercept is 12. The equation would then be y = 3x + b and b would be 12 bc x would be 0 at y intercept making the equation become y = (0)x+b and for y to be 12, b has to be 12 in this case. So y = 3x + 12

The physical education teacher assigns each student a number from 1 to 100 and uses a
computer to randomly generate a list of 30 numbers to select the students for the
sample. What type of sampling is being used?

Answers

Answer:

Simple random sampling

Step-by-step explanation:

The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.

Thus question given corresponds to this definition.

help ya girl is failing math

Answers

Answer:

choose the third choice

number three seems right

CONSIDER THIS SITUATION
A baker has 12 lbs of almonds. She puts them in bags, so that each
bag has the same weight. In terms of pounds and bags of almonds,
what would 12 = 6 mean?

Answers

Answer:

maybe you are splitting the 12 pounds of almonds into 2 so you have two bags of 6 pounds of almonds.

Step-by-step explanation:

This isn't for sure. Just a theory.

Answer: 12 lbs. of almonds is separated into 6 bag all of them weighing 2 lb. each

Please help! It's an image.
The functionf(x)is shown in the graph.
What is the equation forf(x)?
Enter your answer in the box.
f(x)=

Answers

Answer:

y = 0.714 x -5

Step-by-step explanation:

at x =0, y = -5, means the constant is -5

at x= -7 y= -8,

-8= -7a -5

a=0.714

y = 0.714 x -5

Clare is running around the track and her coach recorded her times at the end of laps 2, 4, 6, 8 and 10. Is Clare running at a constant pace and if so, what is the constant of proportionality (unit rate) Clare is running?




A.

Yes, Clare is running at 5 minutes per lap.


B.

No, Clare is not running at a constant rate because she gets slower as she runs more laps.


C.

Yes, Clare is running at a constant rate of 2.5 minutes per lap.


D.

No, Clare decided not to listen to her coach and decided to run faster each lap.

Answers

Answer:

d

Step-by-step explanation:

The ratio of boys to girls in the freshman class is 2 : 3. If there are 120 boys in the class, how many are girls? *

40
120
80
180

Answers

180 is the answer to the question

In a new necklace, the ratio of star-shaped beads to moon-shaped beads is 5 to 2. If the necklace has 20 star shaped beads, how many total beads are on the necklace? Explain.

Answers

Answer:

28

Step-by-step explanation:

In the ratio:

star-shaped beads = 5

moon-shaped beads = 2

total number of beads = 5 + 2 = 7

ratio of star-shaped beads to total number of beads = 5:7

star-shaped beads = 20

Let x = total number of beads.

20/x = 5/7

Cross multiply.

5x = 20 * 7

Divide both sides by 5.

x = 4 * 7

x = 28

Answer: 28

Duke and Mary collect stamps. Duke has 1,364 stamps, and Mary has 1,808 stamps. How many stamps do they have in all?
A.
3,152
B.
3,162
C.
3,172
D.
3,272

Answers

Answer:

Mary and Duke have 3,172 stamps altogether

1,364 + 1,808 = 3,172

It’s C 3,172 because

If $1=Rs. 102.50 and £ 1=Rs, 140, how many dollars equals to £5?​

Answers

Answer:

$6.83= £5

Step-by-step explanation:

As £ 1=Rs 140

So, £5 = Rs 140 x 5

£5 = Rs 700 ...(i)

Now, Rs. 102.50 = $ 1

So, Rs. 1 = $ (1/102.5)

Therefore, Rs. 700 = $ (1/102.5)x 700 = $6.83

By using equation (i)

£5 = $6.83

Hence, there are $6.83= £5

Does anyone know what the range of function is for this graph ?

Answers

Answer:

That's a nonlinear line

Step-by-step explanation:

Brainiest plz

Answer:

                                 

Step-by-step explanation:

ratio 7:5 end them
Page :
Date:
6) I
If a
pair
F
the
supplementary
are​

Answers

Answer:

7:6

Step-by-step explanation:

yan ng sagot dont forget to heart

4(1-x) +2 x = - 3( x + 1 )

Answers

Answer
X=-7
Explanation
Tell me and I will give u it

Answer:

X = 7

Step-by-step explanation:

Fill in the blank with the correct response.
What is the scale factor?

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

i have had this question too lol

The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?

Answers

Answer:

4.164 cm

Step-by-step explanation:

Given that:

Growth of an average human fingernail = 3.47 mm per month

One mm (millimeter) = 0.1 cm (centimeter)

To find:

Growth of an average human fingernail in one year = ?

Solution:

Here, we are given the growth for one month.

There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.

Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times

Growth in one year = 12 \times 3.47 mm = 41.64 mm

In millimeters, the growth of an average human fingernail = 41.64 mm

Let us convert it into centimeters by multiplying it with 0.1.

Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1  = 4.164 cm

y=-x Identify the slope and y-intercept

Answers

Answer:

57

Step-by-step explanation:

the number with the equation

Answer:

     Slope:        m = -1     y-intercept:    b = 0

Step-by-step explanation:

slope-intercept form of equation:  y = mx + b

wherae m is the slope and b is the y-intercept

So:

   y = -x

y = -1x + 0   ⇒     m = -1     b = 0

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