what is the length of a rectangle whose perimeter is 140 ft if its width-to-length is 2 : 5

Answers

Answer 1

Answer:

50 ft.

Step-by-step explanation:

It is given that the ratio of width-to-length is 2 : 5.

Let,

Width = 2x ft

Length = 5x ft

Perimeter of the rectangle is

[tex]Perimeter=2(lenght+width)[/tex]

[tex]Perimeter=2(5x+2x)[/tex]

[tex]Perimeter=2(7x)[/tex]

[tex]Perimeter=14x[/tex]

It is given that the perimeter of the rectangle is 140 ft.

[tex]14x=140[/tex]

Divide both sides by 14.

[tex]x=10[/tex]

The value of x is 10.

[tex]Length=5x=5\times 10=50[/tex]

Therefore, the length of the rectangle is 50 ft.


Related Questions

what is 14991.1 rounded to the nearest hundredth

Answers

Answer:

15000.0

Step-by-step explanation:

Answer:

Step 1:  Round to the nearest hundredth

It is already rounded to the tenth so rounded to the hundredth would just add a 0.

14991.10

Answer:  14991.10

If you meant hundreds:

14991.10

Since the tens place is greater or equal to 5, you round up the hundreds place.  This will make the thousands place go up by one.

14991.10

15000

Estimate the perimeter of the figure to the nearest whole number.

Answers

Final answer:

To estimate the perimeter, we use the given information of the width of the rectangle, which is 1.25 cm. Assuming the lengths are similar, we estimate them to be 1.25 cm as well. Using these measurements, we calculate the perimeter of the figure to be approximately 5 cm.

Explanation:

To estimate the perimeter of the figure, we need to determine the measurements. The given information states that the rectangle is at least 1.0 cm wide but not 2.0 cm wide. Using the tick marks on the ruler, we can estimate the width to be 1.25 cm. Since the perimeter of a rectangle is the sum of all its sides, we find the perimeter by multiplying the width by 2 and adding it to the sum of the two lengths. However, we don't have information about the lengths, so we can't find the exact perimeter, but we can estimate it based on the width. Assuming the lengths are similar, we can use the estimated width of 1.25 cm to estimate the lengths as well.



To estimate the lengths, we can assume that each length is greater than the width. Let's assume the lengths are also 1.25 cm. The perimeter can then be estimated by multiplying the width by 2 and adding it to the sum of the two lengths: (1.25 cm * 2) + (1.25 cm + 1.25 cm) = 2.5 cm + 2.5 cm = 5 cm. Therefore, we estimate the perimeter of the figure to be approximately 5 cm.

The estimated perimeter of the pentagon is 19 units.

To estimate the perimeter of the given pentagon, we need to find the length of each side and add them together. The pentagon has a base of four units and the other sides are three units each.

To find the perimeter, we add the lengths of all the sides. In this case, the base has a length of four units, and there are five sides of three units each.

Calculating the perimeter:
4 + 3 + 3 + 3 + 3 + 3 = 19 units

Therefore, the estimated perimeter of the pentagon is 19 units.

The dot plot below shows the number of books 26 students read in a month:

Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.

Is the median or the mean a better center for this data, and why?

Mean; because the data is skewed and there are outliers

Mean; because the data is symmetric and there are outliers

Median; because the data is skewed and there are outliers

Median; because the data is symmetric and there are outliers

Answers

The answer is

C. Median; because the data is skewed and there are outliers

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Hope This Helps!:)

1. Evaluate x2 + 3x for x = 8

Answers

Step-by-step explanation:

Putting value of x

(8)2 + 3(8)

64 + 24

= 88

Answer:

The answer is 88

Step-by-step explanation:

since x=8

x^2= 64

3x=3×8

=24

x^2+3x= 64+24

=88

Lynn put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank, how many gallons did she start with?? Please I need an answer ASAP worth 25 points!!!!

Answers

She started with 17/8 gallons.

Lynn starts with 14.3 gallons in her gas tank.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

She put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank.

We have to determine the number of gallons did she start with

As per the given question, the required evaluation would be as:

Initial gallons = current gallons - put gallons

Initial gallons = 18 1/6 - 3 7/8

Convert the improper fractions into decimals,

Initial gallons = 18.167 - 3.875

Apply the subtraction operation, and we get

Initial gallons = 14.292 ≈ 14.3

Therefore, she starts with 14.3 gallons in her gas tank.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ5

Leave your answer in terms of pi. Find the circumference.

Answers

Answer:

[tex]2\pi \: r \\ 2 \times \pi \times 7 \\ = 14\pi[/tex]

4(x-2)=3(x-3) what is the answer

Answers

The answer is -1

Step-by-step explanation:

Kishuana rode her bike for 35 minutes each on Monday, Wednesday, and Saturday and 55 minutes each on Tuesday and Thursday. Write an expression that shows the total amount of time she spent riding her bike. Then evaluate the expression.
order of operations

Answers

Answer:

35a+55b=c

35x3=105

55x2=110

105+110=215

c=215

she rode her bike for 215 mins= 3 hours and 58 mins

Step-by-step explanation:

Suppose there is a simple index of three stocks, stock ABC, stock XYZ, and
stock QRS. Stock ABC opens on day 1 with 4000 shares at $3.15 per share.
Stock XYZ opens on day 1 with 5000 shares at $4.30 per share. Stock QRS
opens on day 1 with 6000 shares at $4.60 per share. The price of stock ABC
on day 8 begins at $3.50. The price of stock XYZ on day 8 begins at $3.90.
Stock QRS opens on day 8 with a price of $4.50 per share. Assume that each
stock has the same number of shares that it opened with on day 1. What is
the rate of change of this simple index over 1 week?
O A. 1.9%
O B. 2.0%
O C. -1.9%
O D. -2.0%

Answers

Answer: C -1.9

Step-by-step explanation:

The rate of change of this simple index over 1 week given the change in the stock prices is -1.9%.

What is the rate of change?

The rate of change is the difference in the total value of the simple index.

Total value of the simple index at day 1 = (4000 x $3.15) + (5000 x $4.30) + (6000 x $4.60) = $61,700

Total value of the simple index at day 8 = (4000 x $3.50) + (5000 x $3.90) + (6000 x $4.50) = $60,500

Rate of change = (60,500 / 61700) - 1 = -1.9%

To learn more about percentages, please check: https://brainly.com/question/25764815

An animal shelter spends $2.00 per day to care for each bird and $5.00 per day to care for each cat. Gabriel noticed that the shelter spent $44.00 caring for birds and cats on Friday. Gabriel found a record showing that there were a total of 13 birds and cats on Friday. How many birds were at the shelter on Friday?

Answers

Answer:

7 birds

Step-by-step explanation:

Let b = number of birds

c = number of cats

We know there were 13 birds and cats

b+c =13

It is $2 per bird and $5 per cat for a total of $44

2b+5c =44

 Solve b+c =13 for c by subtracting b from each side

c = 13-b

Now we can substitute this into the second equation

2b+5c =44

2b + 5(13-b) =44

Now distribute

2b+65 -5b = 44

Combine like terms

-3b +65 =44

Subtract 65 from each side

-3b +65-65 =44-65

-3b = -21

Divide each side by -3

-3b/-3 = -21/-3

b=7

There were 7 birds

We could also find the number of cats

c =13-7

c =6

Answer:

7 birds

Step-by-step explanation:

No. of birds: x

No. of cats: y

2x + 5y = 44

x + y = 13

x = 13 - y

2(13 - y) + 5y = 44

26 - 2y + 5y = 44

3y = 18

y = 6

x = 13 - 6

x = 7

What is the approximate area of the figure below?

Answers

YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT MARK ME BRAINLIEST AND FOLLOW ME

Please help me I am horrible at calculations
Solve for x when y=-0.27

5y+8(x−3y)=7x−12

Answers

Answer:

X = -12.54 (I am a Math Class Topper in both 6th Grade an 7th Grade)

Step-by-step explanation:

5 x .27 = 1.35

8x - (3 x .27) = .81

1.35 + 8x - .81 = 7x - 12

        - 7x           - 7x

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

1.35 + X - .81 = -12

              + .81 +.81

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

1.35 + X = -11.19

-1.35         -1.35

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

X = -12.54

Solve for x using the Master Product.
6x2 – 13x – 5 = 0

Answers

Final answer:

The quadratic equation 6x2 – 13x – 5 = 0 is solved using the Master Product method by factoring and solving for 'x' to get the solutions x = -1/3 and x = 5/2.

Explanation:

To solve the quadratic equation 6x2 – 13x – 5 = 0 using the Master Product, we'll first look at the coefficients of the quadratic, which are 6, -13, and -5. The Master Product method involves finding two numbers that multiply to the product of the coefficient of x2 (which is 6) and the constant term (which is -5), and add up to the coefficient of x (which is -13). The product of 6 and -5 is -30, and we're looking for two numbers that multiply to -30 and add up to -13.

These numbers are -15 and 2 because (-15) * 2 = -30 and (-15) + 2 = -13. We can use these numbers to split the middle term, -13x, into -15x and 2x, and rewrite the quadratic equation as 6x2 - 15x + 2x - 5 = 0. Grouping the terms in pairs and factoring by grouping gives us (3x)(2x - 5) + 1(2x - 5) = 0. Factoring out the common binomial (2x - 5), we get (3x + 1)(2x - 5) = 0. Setting each factor equal to zero, we can solve for x: 3x + 1 = 0 or 2x - 5 = 0, which gives us x = -1/3 or x = 5/2.

The segments represent roads in a town, measured in miles. Theo drove from the post office to the grocery store. How many miles did he travel?

Answers

Answer:

16 miles

Step-by-step explanation:

The graph is counting by 2, and there are 8 spaces between the Grocery store and the post office.  8(2) = 16

Answer: 16

Step-by-step explanation:

Which is the correct answer for the question below

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it is the only net that has 6 squares, and 6 squares make a cube.

A penny is tossed and a number cube is rolled. Find probability P(tails and 3). Please select one answer.


1/12

1/2

1/6

Answers

Answer:

the probability is 1/12

Step-by-step explanation:

The probability, P(Tails) to get tails is equal to:

[tex]P(Tails)=\frac{1}{2}[/tex]

Because a penny have two possible options heads or tails and tails is one option.

Additionally, the probability P(3) that the number cube get a 3 is equal to:

[tex]P(3)=\frac{1}{6}[/tex]

Because the cube have 6 possible options and 3 is one option.

Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:

P(tails and 3) [tex]=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

First we calculate the probability of the coin tossed being a tails.

The coin has two sides (heads and tails), so the probability of each case is 1/2, so the probabilty of having a tails is 1/2

For the number cube, we have six possibilities, so the probability of having a number 3 is 1/6

Now, to find the final probability P(tails and 3) we just need to multiply both probabilities:

P(tails and 3) = P(tails) * P(3) = (1/2) * (1/6) = 1/12

Does 10.5, 36, 50 form a right triangle

Answers

Answer:

No because if you are looking for a right triangle its sums have to equal to 90 degrees

Step-by-step explanation:

for example:side a; 30 inches

side B;30 in

c;30 that equals 90 so that is a right triangle

Answer:

No, it is not a right triangle.

Step-by-step explanation:

10.5, 36, and 50 do not form a right triangle.  This can be tested using the Pythagorean theorem.  

10.5^2=110.25

36^2= 1296

50^2=2500

If this was a right triangle, the 10.5 squared and 36 squared would have to equal 50 squared.  

A cylinder has a radius of 9 inches and a height of 7 inches. What is it he volume of this cylinder

Answers

Answer:

1808.64

Step-by-step explanation:

The triangles are congruent by SSS or HL

Which transformation(s) can map MNQ onto PQN


Translation only

Reflection only

Rotation, then reflection

Rotation, then translation

Answers

Answer:

Rotation, then translation

Step-by-step explanation:

At first, the triangle MNQ rotates around the point center Q 180° counter clockwise without change the distance among the three points so it does change the shape the the object.

Then,  we apply translation towards right so that it will became ΔPQN without resizing or rotating the object.

Hence,  transformation(s) can map MNQ onto PQN are Rotation, then translation

If the population standard deviation is o=10, how large a sample is necessary to have a standard error that is less than 5 points?

Answers

Final answer:

To have a standard error less than 5 points, the necessary sample size must be greater than 4. The minimum sample size required is 5.

Explanation:

To calculate the sample size required, we need to use the formula for standard error:

SE = σ/√n

In this case, we want the standard error to be less than 5 points, so we have the inequality:

5 > σ/√n

Multiplying both sides by √n, we get:

5√n > σ

Since we know that the population standard deviation (σ) is 10, we can substitute that value into the inequality:

5√n > 10

Dividing both sides by 5:

√n > 2

Squaring both sides of the inequality:

n > 4

So, the sample size must be greater than 4. However, since sample size is typically an integer value, we round up to the nearest whole number. Therefore, the minimum sample size required is 5

Final answer:

To achieve a standard error of less than 5 with a population standard deviation of 10, a sample size of at least 5 is required.

Explanation:

The question deals with determining the sample size necessary for a specified standard error when the population standard deviation is known.

To find the sample size (n) necessary for a standard error of less than 5, when the population standard deviation (σ) is 10, we use the formula for the standard error of the sample mean, which is σ/sqrt(n).

To want the standard error to be less than 5, set up the inequality 10/sqrt(n) < 5, which simplifies to sqrt(n) > 2.

Solving for n, we square both sides to obtain n > 4.

Thus, we need a sample size greater than 4.

However, as sqrt(4) equals 2, the next whole number that provides a standard error less than 5 is 5.

Therefore, a sample size of at least 5 is needed.

What would be the price per year for equation p(t)=1200(1.037)^t

Answers

i’m pretty sure it would be 1,244.40 per year. you would do 1200 x 1.037 = 1244.40 x1 = 1244.40. :)

What are these numbers rounded to the nearest hundreds plz. Help

Answers

Answer:

1. 425,300

2. 105,000

3. 45,500

4. 35,500

5. 212.37

PLEASE I NEED HELP WITH THIS!!!!​

Answers

Answer:

oh yeah thats the 3rd one

Step-by-step explanation:

Please help! I will mark you as brainliest!

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Sum the frequency column to find the total number of students

total = 2 + 9 + 5 + 5 + 3 = 24

number of students finished in less than 20 mins = 2 + 9 + 5 = 16

fraction of students = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]

WILL GIVE BRAINLIEST!!!
x + 2y = 10
3x + 4y = 8
Which point is the solution to the system of equations?
A) (7, 1.5)
B) (11,-12)
C) (-11, -12)
D) (-12, 11)

Answers

I think the answer will be A

What is the domain of F(x) = In(x)?
A. all real numbers except 0
B. all real numbers greater than 0
C. all real numbers
D. all real numbers less than

Answers

D is the answer because all real numbers less than

Answer: all real numbers expect ZERO

Step-by-step explanation:

5x - y - 4z = -16
x + 3y+ z= 5
2x+ 4y - 3z= 1

Answers

Answer:

Step-by-step explanation:

hello :

look this solution :


an equation for the line that has a slope of 1/2 and passes through the point (-2,5)

Answers

Answer:

[tex]y = 1/2x + 6[/tex]

Step-by-step explanation:

Step 1:  Find the equation

[tex](y - y_1) = m(x - x_1)[/tex]

[tex](y - (5)) = 1/2(x - (-2))[/tex]

[tex]y - 5 = 1/2(x + 2)[/tex]

[tex]y - 5 + 5 = 1/2x + 1 + 5[/tex]

[tex]y = 1/2x + 6[/tex]

Answer:  [tex]y = 1/2x + 6[/tex]

Can someone help me with this hint it’s not c but someone plz help me I don’t get it

Answers

Answer: 27

Step-by-step explanation:

(I need help) Diameter is 32.8ft how do you do the Radius,Area,Circumference?

Answers

Radius = 16.4
Area = 844.96
Circumference: 103.04

Answer:

well the diameter is half of the circle so radius is half of that

the formula for that is 3.14*r

so your answer should be 50.025

Other Questions
In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. Consider the following facts about the scoring distributions for some NCAA Division I basketball teams. Each team has 121212 players. At Baylor University, there are 666 players who each score 121212 points per game, and there are 666 players who each score 000 points per game. At the University of Maryland, 111 player scores 585858 points per game, 111 player scores 141414 points per game, and the rest of the players score 000 points per game. At Dartmouth College, 444 players score 555 points per game, 444 players score 666 points per game, and 444 players score 777 points per game.Which of the following is true? Choose all answers that apply: Choose all answers that apply: (Choice A) A At Dartmouth, the mean number of points per player per game is greater than the median number of points per player per game. (Choice B) B At Maryland, the mean number of points per player per game is greater than the median number of points per player per game. (Choice C) C The median number of points per player per game is the same at all 333 schools. (Choice D) D The mean number of points per player per game is the same at all 333 schools. How does multicellular organisms grow? A flashback is when a character remembers something from the past. Who has a flashback on page 218 and what does this character remember? 22. Your book explains that brief episodes of retrograde amnesia (e.g., the traumatic disruption of newly formed memories when a football player takes a hit to the head and can't recall the last play before the hit) reflect __________. * A company receives shipments of a component used in the manufacture of a high-end acoustic speaker system. 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