Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.

Answers

Answer 1

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

Answer 2

The outer perimeter is 129 1/3 feet.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

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Related Questions

Which functions are increasing?
Select all answers that are correct.

Answers

Left top corner right bottom corner
The top left graph and the bottom right graph

Explanation: You read graphs like this from left to right and so you follow the line and you could tell if the line is going up (increasing) or going down (decreasing$

please help me fast and show all your work please thx ​

Answers

Answer:

636 m squared

Step-by-step explanation:

use the formula of rect. prism. ;)

2(L(h+w) + h+w)

anyone know how to do 1 & 2 ?

Answers

Answer:

D and F

Step-by-step explanation:

1.

SA and V of 3x4x5 right rectangular prism.

Three pairs of faces, 3×4, 4×5, 3×5, so area

SA = 2(3×4 + 4×5 + 3×5) = 94 sq ft

V = L×W×H = 3×4×5 = 60 cubic ft

Answer: D.  SA 94 sq ft, V 60 cu ft

2. Right triangular prism, base legs 3x4, height 7

Two triangular faces, combined area 2×(1/2)×3×4=12, and three rectangular faces, 3x7, 4x7 and 5x7

SA = 12 + 7(3+4+5) = 8(12) = 96

Volume is area of base times height, so (1/2)(3)(4)(7)=42.

Answer:  I.  SA 96 sq cm, V 42 cu cm

Is 4by + 2b - by a binomial or a trinomial

Answers

Answer:

binomial

Step-by-step explanation:

4by + 2b - by

Combine like terms

3by +2b

This is a binomial since it has 2 terms

Which expression can be used to find the surface area of the following triangular prism?
A. 6+6+33+44+55
B. 6+6+55+55+55
C. 12+12+33+44+55
D. 12+55

Answers

Answer:

C

Step-by-step explanation:

3×4=12

3×11=33

5×11=55

Marcel converts the frequency table to a conditional relative frequency table by row. 4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0 Which value should he use for Y? Round to the nearest hundredth. 0.19 0.45 0.82 0.90

Answers

Answer:

0.19

Step-by-step explanation:

____ | <40 | 》40 | Total

< 30 | W | X | 1.0

》30 | Y | Z | 1.0

Total | 0.43 | 0.57 | 1.0

Since W, X, Y and Z are conditions frequency, they can't be negative

Therefore,

W and Y are both less than 0.43

X and Z are both less than 0.57

The only option less than 0.43 is 0.19 (for Y)

Answer:

0.19

Step-by-step explanation:

____ | <40 | 》40 | Total

< 30 | W | X | 1.0

》30 | Y | Z | 1.0

Total | 0.43 | 0.57 | 1.0

Since W, X, Y and Z are conditions frequency, they can't be negative

Therefore,

W and Y are both less than 0.43

X and Z are both less than 0.57

The only option less than 0.43 is 0.19 (for Y)

HELP ASAP 100 POINTS!!!!


You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?




Answers

Answer: After 30 days, you would have $30,000

Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).

In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.

The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.

Having taken day one as a, and each successive 1000 as d, observe the following trend;

Day 1 = a

Day 2 = a + d

Day 3 = a + (3 - 1)d  which gives you a + 2d

Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;

Day ₙ = a + (n - 1)d

Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows

Day 30 = 1000 + (30 - 1) 1000

Day 30 = 1000 + (29 x 1000)

Day 30 = 1000 + 29000

Day 30 = 30000

Answer:

You would get 1000 everyday because you would get the previous day, you would have 30,000

Step-by-step explanation:

what is the answer to 18/s =3 ?

Answers

Answer:

6

Step-by-step explanation:

18/s=3

18=3s

18/3=3s/3

6=s

Please calculate the volume if the triangular prism (MIDDLE SCHOOL MATH)​

Answers

So where is the question

The set of all numbers greater than −10 and less than −3.

Answers

Answer:

{-9,-8,-7,-6,-5,-4} [ List method ]

or

{x: x ε Z where x>-10 and x<-3}      [Set builder form]

Step-by-step explanation:

Z represents Integer

The numbers are -9,-8,-7,-6,-5,-4. [ list method ]

The set of all numbers greater than -10 and less than -3 are represented in set-builder notation as {x: x ∈ Z⁻, -10 < x < -3} and the set of numbers are

How to write the set-builder notation for a given data?

The set notation consists of symbols like ': - such that', ' - belongs to', ' <, >, ≤, ≥', and all these are enclosed in flower braces. The Capital letter that is used in this represents the category or the set to which the given values are related. A variable is used for representing the given set of data values.

Writing the set-builder notation for the given values:

It is given the set of numbers that are greater than -10 and less than -3.

Since they are negative integers, so all the required numbers also belong to the same category of numbers.

So, it is represented by Z⁻

Then, the set builder notation is

{x: x ∈ Z⁻, -10 < x < -3} and

The set is {-9, -8, -7, -6, -5, -4}

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-4x -4y=-5

12x + 12y =15
What do the following equation represent

Answers

Answer:

x=5/4 -y

Step-by-step explanation:

12x-12x   12x-12x     12 divided by 0 = undefined

subtract 12 from both sides of the equation then divide by 12.

so the answer would be:

y= 5/4 -x

I will give you all five stars ⭐⭐⭐⭐⭐

Answers

Answer:

<E=<A

Step-by-step explanation:

i think you have the right answer

Yu have the right one

Please help me I’m terrible at math.

Answers

Answer:

A) 200,000*0.75%=1500*100=150,000

B) 150,000 will be the birds population in 100 years

help me find the interquartile range please

Answers

Answer:

18

Step-by-step explanation:

Interquartile Range = Q3-Q1

First step is to order the data values from least to greatest. Next step is to find the median, the median of this data set is 36.5, then you find the Q1 and Q3, Q1 is the lowest middle of the data set, like the lowest median of the data set. The Q1 is 26. Then you find the Q3, the Q3 is the highest median of the data set. The Q3 is 44.

Now you subtract the Q3 and the Q1,

44-26=18

18 is the interquartile range.

Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?

Answers

Answer:

4

Step-by-step explanation:

3,186/22= 144

144/36= 4

if i want to.find out when an object hirs the ground i should _____

Answers

Answer:

You should test out with different objects in different places. But, I would be careful not to use anything that could break!

2 2/3 Divided by 1/4
Find the quotient simplify if possible

Answers

Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3

Hey there!

The simplified version of this expression is 32/3.

Hope this helps !

The point (5, -2) is rotated 90° about the origin. Its image is

(-2, 5)
(2, 5)
(-5, 2)

Answers

Answer:

(2,5)

Step-by-step explanation:

The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.

Answer:

(2,5)

Step-by-step explanation:

whats the missing variable in the equation:2(x+5)-7 = 3(x-2)
show work please
(20 points)

Answers

Answer:

x=9

Step-by-step explanation:

2(x+5)-7 = 3(x-2)

2x+10-7=3x-6

2x+3=3x-6

2x=3x-9

-x=-9

x=9

What solid is formed when rotating a square about a horizontal or vertical axis through the center of the square?

Answers

Answer:

Torus

Step-by-step explanation:

This particular solid is called a torus, and looks like a dough-nut. Note: The 2-D figure may appear on coordinate axes, from which you can obtain measurement information about the figure.

a) Which of these numbers is 6 less than -11?
A) -5
B) -17
С) 17
D) 5

b) Which of these numbers is 34 less than -7?
A) -27
B) 27
C) -41
D) 41

Answers

Answer:

For the first on it is A) 17

For the second one it is B) 41 I hope cause I haven't done these in along time

Step-by-step explanation:

For the first on it's going to 17 because if you turn the less than sign into a minus sign you're going to get 6 - -11. You turn the two signs into a plus sign you get 6 + 11 and you add them you get 17

For the second one your going to the same thing you add 34 + 7 and you get 41  

Rodney spun this five section spinner 80 times. The results of his spins are listed in the table below.



Identify the sample space using the first letter of the color in alphabetical order

{ , , , , }.



What is the theoretical probability for landing on blue?
%



What is the experimental probability for landing on yellow or white?
%

Answers

Answer:

Sample space: {B, G, R, W, Y}

20%

40%

Step-by-step explanation:

Theoretical probability of blue:

1/5 × 100 = 20%

Experimental probability (based on observation) of yellow or white:

(20+12)/80 × 100

32/80 × 100

40%

A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width 10 inches, and a height of 1 inch. Eryday it's the volume of the laptop?

Answers

Answer: Volume is 140

Step-by-step explanation:

Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20

Answers

Answer:

C, 5/64

Step-by-step explanation:

To solve this problem, first find the ratio of green pencils to all pencils. There are 8 green pencils and 32 total pencils, meaning the ratio is 8:32. As a fraction, 8/32 can be simplified to 1/4.

Then, find the ratio of yellow pencils to all pencils. There are 10 yellow pencils and 32 total pencils, so the ratio is 10:32. As a fraction, 10/32 can be simplifies to 5/16.

Now, multiply 5/16 by 1/4 to get the chance of selecting a green pencil, putting it back, then selecting a yellow pencil.

5/16 * 1/4 =  5/64

Therefore, C is the correct answer.

What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11

Answers

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

If you 20 points invested $1,000 this year and the investment return is 7% annually, how much would you have in 20 years? Use this formula: A=P(1+r)^t (P represents initially investment, r represents the rate, and t represents the
time in years)​

Answers

Answer:

2400  I'm sorry if im wrong I tried

Step-by-step explanation:

Can -0.96 be the probability of an outcome in a sample space?
yes
no

Answers

Answer:

no

Step-by-step explanation:

MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!

Answers

Answer:

CCCC IDK the type of vehicle but its c

Step-by-step explanation:

43.2+ 4 x 2.8 + (4.4 x 4 x 1/2) = 63.2

Please! I need brainliest

a taxi cab charges a flat fee of $2.00, plus $0.25 for every mile driven. If the fare comes to $7.75, what equation could be used to determine how many miles the taxi drove?

Answers

Answer:

7.75 = .25x + 2

Step-by-step explanation:

If a demand curve shown above shift to the left then the________.



.

Answers

Answer:

The quantity demanded goes down

Answer:

Hey ya'll! your answer is D. demand decreased

Thank you so much to the guy above me!

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