= Homework: Section 9.6
Question 16, 9.6.61
O Point
The perimeter of a rectangle is to be no greater than 160 centimeters and the width must be 35 centimeters. Find the maximum length of the rectangle.

Answers

Answer 1

Answer:

here is an an example

Step-by-step explanation:

Let x = the width of the rectangle

P = 2l + 2w

2(40) + 2x ≤ 150

80 + 2x ≤ 150

2x ≤ 70

x ≤ 35 cm


Related Questions

What are the factors of -3?

Answers

Step-by-step explanation:

The positive factors of -3 are 3 and 1

There is also -3 and -1

Which of place value is found to the left of the 1 in 10?

Answers

Answer:

Hundreds :)

Step-by-step explanation:

May I please receive help?
Please???

Answers

Answer:

m1 is 25 and m2 is 50

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

x+2x=75

PLZ HELP
A cylinder and a cone have the same diameter. 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use ll = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work​

Answers

Answer:

This is the answer, dont forget to change the wording or you'll get a plagiarism strike.

Step-by-step explanation:

A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line?

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

slope is the coefficient of the 'x' term, in this case 1

doubling 1 gives you 2

y-intercept is 2, dividing this by 2 gives you 1

a room has a rectangular floor that measures 28 feet by 14 feet and a flat 9-foot ceiling. what is the area of the floor and how much air does the room hold?

Answers

Answer:

Step-by-step explanation:

guys pls help me!!!!!!!

Answers

Answer:

n=27

Step-by-step explanation:

(n+6)° + (2n+5)° +90° = 180°

3n+9=90

3n=81

n=27

Sorry if I did it wrong

You saved $300 from waiting tables and $100 from babysitting this
summer. You put this in a savings account that earns 0.9% interest. You
left it in the account for 24 months before deciding to spend it. How
much interest did you earn?

Answers

86.4

....................

Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the
ground in yards after a seconds is given by the function:
h(x) = -52% + 100 + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as you found in part b from the previous
example. It takes second to reach the maximum height. We will substitute that value in for x in our
function and simplify.
The maximum height reached by the rocket was 25 yards. What is the time it takes for the rocket to hit
the ground? (Use a graph or any other method to solve.)
It takes approximately 3.2 seconds for the rocket to hit the ground. (Round to the nearest tenth.)

Answers

Using quadratic function concepts, it is found that:

It takes 1 second to reach maximum height.The maximum height is of 25 yards.It takes approximately 3.2 seconds for the rocket to hit the ground.

The height of the rocket after x seconds is given by:

[tex]h(x) = -5x^2 + 10x + 20[/tex]

Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].

The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{\Delta}{4a}[/tex]

[tex]\Delta = b^2 - 4ac[/tex]

Then:

[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]

[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]

[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]

Thus:

It takes 1 second to reach maximum height.The maximum height is of 25 yards.

It hits the ground when [tex]h(x) = 0[/tex], thus:

[tex]-5x^2 + 10x + 20 = 0[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]

We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.

A similar problem is given at https://brainly.com/question/24705734

Pls HelP Me ASAP!~!~!~!
Describe and correct the error
|-13|-|13|
=-13-13
=-26

Answers

Answer:

The error is that the question equals -13-13.

Step-by-step explanation:

This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)

FOR BRAINILY
Answer fast please

Answers

Answer:

37 degrees

Step-by-step explanation:

A triangle is 180 degrees total, so if you find what other number with 106 degrees equals 180 degrees you would get 37 degrees.

i think its 37 degrees sorry if incorrect

A pair of pants that regularly costs $55 are on sale for 35% off the regular price. What is the sale price of the pants?​

Answers

Answer:

$35.75

Step-by-step explanation:

100-35=65

.65 x 55 = 35.75

Answer:

$35.75

Step-by-step explanation:

35% converted to decimal is .35

55x.35= 19.25 the sale amount

$55 original price - $19.25sale = $35.75 sales price of pants.

What is the slope of (-6,-3) and (-2,-8)

Answers

Answer:

-5/4

Step-by-step explanation:

.......................

Answer:    slope =  - ⁵/₄

Step-by-step explanation:    

     The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (-8 - (- 3)) ÷ (-2 - (-6))    

                                          =   - ⁵/₄

Checking my answer:  

Finding the Equation  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-3) =  - ⁵/₄(x - (-6))

                                        y + 3 =  - ⁵/₄ (x + 6)

 

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

10+10=? trả lời đi mà

Answers

10Answer:

10 + 10 =

Step-by-step explanation:

=20

MARKING BRAINLEIST IF YOUR RIGHT !

Answers

Answer:

c = m + 4

you solve for c by simplifying both sides of the equation, then isolating the variable.

Answer:

Your answer is

c = m + 4

Is g correct? I need help in this

Answers

i did 14 times 4 % (.04) and i got 0.64
No the answer is F

4% of 16 is 0.64. Add that to 16 and you get 16.64, letter F.

please help !! find the area and perimeter. I KNOW HOW TO DO IT BUT I JUST DONT HAVE THE TIME RN!!

Answers

Answer:

Step-by-step explanation:

9.

Area = 15 × 5

Area = 75

perimeter = 15 + 6 + 15 + 6 = 42

10.

Area = (10 × 15) ÷ 2 = 75

perimeter = 18 + 10 + 15 = 43

11.

Area = (25 × 10) ÷ 2 = 125

perimeter = 31.6 + 25 + 11.2 = 67.8

please give me a brainliest answer

. Ramu took a loan of 50000 rupees from a bank which charges 10% interest, compounded an- nually. He repaid 10000 rupees after one year and 15000 rupees after two years. How much should he pay at the end of three years to settle the loan?​

Answers

Answer:

= 30,550 rupee owed

Step-by-step explanation:

yr1 = 50000 x 0.10^1 = 5000

5000 - 10000 = 5000 credit from debt.

yr 2 = 50000 x 1.10^2 = 500 debit from debt = 5000-15000= 10,000 credit from debt

yr 3 = 50000 x 1.10^3 = 50 debit from debt

5000 + 500 = 15000 where 50,000 owed initially and yr1 and yr 2 paid in full interest of 5500 and we deduct this from his payment = 25000-5500 =

19500 paid of initial and nothing owed on interest.

50000-19500= 30,500 rupees owed + 50 rupee interest.

= 30,550 rupee owed

The amount he should pay at the end of the three years to settle the loan is; 41,550 Rupees

Compound Interest

We are given;

Investment = 50000 rupees

Annual Interest Rate = 10% = 0.1

Since the interest is compounded annually, then number of times of compounding = 3

Thus;

Amount to pay after 3 years is;

A = 50000(1 + 0.1)³

A = 50000 × 1.1³

A = 66500 Rupees

Now, we are told that he has already paid 10000 rupees after one year and 15000 rupees after two years. Thus, amount he now owes to settle the loan = 66500 - (10000 + 15000) = 41,550 Rupees

Read more on Compound Interest at; https://brainly.com/question/2455673

Classify each triangle by its angles and sides.

ABE

BEC

DEF

CDF​

Answers

Answer:

scalene right

isosceles obtuse

equilateral equilateral

scalene acute

Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost​

Answers

Step-by-step explanation:

450/180= 2.5 kilos

it is a one to one relationship

f(x)=x/180

where x is the amount given to her


Emmanuel went to Circuit City to buy a refrigerator for $3,652. This week at Circuit City, all kitchen appliances have a discount of
35%. If Emmanuel goes to Circuit City this week, how much will he pay for the refrigerator?
$1.278.20
$4.930.20
$2.373.80
53,617 00

Answers

Answer:

The answer is C

Step-by-step explanation:

it's 1,278.20 or A
i had this as homework before
i hope this helped :)

Surface of a rectangular prism15 cm depth6 cm width7.5 cm height

Answers

Answer:

675 is the surface rectangle

Step-by-step explanation:

multiple the depth width and height together

give the slope perpendicular to the equation 2x-y=5

Answers

Answer:

- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - y = 5 ( subtract 2x from both sides )

- y = - 2x + 5 ( multiply through by - 1 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep both jobs and earn at least $275.00 a week, but he can work no more than 25 hours. If x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant, which system models this scenario?

Answers

The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.

Since he earn at least $275.00 a week, hence:

12x + 9.5y ≥ 275   (1)

Also, he can work no more than 25 hours, hence:

x + y ≤ 25   (2)

Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Find out more at: https://brainly.com/question/25285332

Help pls, will give branliest to right answer

Answers

Answer:

Similar AA

Step-by-step explanation:

By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.

Answer:

C. similar AA

‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌

the sum of four times a number and 2 is 10. find the number.​

Answers

Answer:

What is the number 2

Step-by-step explanation:

2*4=8

8+2=10

What’s answer 10? Somebody please?

Answers

Answer:

Your table should be right. Plot these on your graph. (4,5) (8,10) (12,15) and (16,20). Hope it helps

Step-by-step explanation:

please help and with an explanation if you can !! I’m not good at math bro I’ll give you brainliest

Answers

Hi,

Here’s the answers for you.

Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?

Answers

0.10

so sorry i couldn't make it a fraction :(

The path of a ball in flight is given by h(x) = -0.23(x – 3.4)^2 + 4.2 where x is
a. find h(2) and give a real-world meaning for this value
b. find the x values for h(2)= 2, and describe the real-world meaning of these values
c. how high was the ball when it was released
d. how far will the ball go before it hits the ground

Answers

Answer:

B

Step-by-step explanation:

It’s b

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