You are installing a fence around your yard. In the figure,
your yard is rectangle ABCD. Each unit in the coordinate
plane represents 10 feet.
a. What is the perimeter of your entire yard
b. You consider only installing a fence around your backyard represented by rectangle ABEF what is the perimeter of your backyard?
c. The cost of fencing is $50 for each 6 foot section how much do you say by only installing a fence in the backyard?
Answers
Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:
(a) 360 feet
(b) 240 feet
(c) $1000.0
Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:
(a) Side AB = CA = (7 - 1) x 10 feet
= 6 x 10 feet
= 60 feet
Side AD = BC = 13 - 1
= 12 x 10 feet
= 120 feet
The perimeter of the entire yard = 60 + 120 + 60 + 120
= 360
Perimeter of the entire yard = 360 feet
(b) Side AB = EF = 60 feet
Side FA = BE = (7 -1) x 10 feet
= 60 feet
So that,
The perimeter of the backyard = 60 feet x 4
= 240
Perimeter of the backyard = 240 feet
(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50
= $3000.0
The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50
= $2000.0
The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0
= $1000.0
Thus, the amount saved by only installing a fence in the back yard is $1000.0
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Related Questions
Mrs. Boggs writes the equation on the board.
-8+3 = -8-(-3)
Is this equation a true statement, and why?
O Yes. Both sides are equal to -5.
Yes. Both sides are equal to 5.
O No. The left side is equal to -5, and the right is equal to 5.
O No. The left side is equal to 5, and the right is equal to -5.
Answers
Answer:
(A).
Step-by-step explanation:
-8+3= -5 -8-(-3)= -5
-5= -5
Hope this helps.
Please mark me as Brainliest. Thank You.
To keep it simple i am confused about this problem what can i do?
*show work
*will give brainlist
Answers
Answer:
11. 10, 20,30,40,50,60,70
12. 35, 45,55,65,75,85,95
Step-by-step explanation:
10 dollars per week for 7 weeks in equivalent to 10x7 which equals $70.
If you already had $25 you would do 10x7+25. Using PEMDAS you would multiply first (10x7=70) then add 25 (70+25=95)
What are 2 or more fractions of each of these??
Answers
Answer:
Down below
Step-by-step explanation:
i. 80/100 = 4/5 = 80%
ii. 12.5/100 = 1/8
iii. 10/100 = 1/10
ii, 12.5/100 = 1/8
iii, 10/100 = 1/10
Need help with number 5 ASAP.
Answers
Answer:
A) ahead 1 space
Step-by-step explanation:
2-3 = -1
-1-2 = -3
-3+4= 1
EXPLANATION:
2 - 3 - 2 + 4= 1
Which of the following points lies on the line 2x+y=6? 1. (1.4) 2.(0,6) 3. (2,0) A. I only B. 2 only C. 3 only D. 1 and 2 only E. 2 and 3 only
Answers
4x - 27 = -4x - 35 + 8
Answers
Answer:
[tex]4x - 27 = - 4x - 35 + 8 \\ 8x = 0 \\ x = 0[/tex]
Which number is not a rational number?
-5 4/11
√31
7.608
18.46 repeating
Answers
Step-by-step explanation:
-5 4/11 = -59/4 , this is a fraction and all the fractions are rational numbers
√31 is not rational number
7.608 = 7608/10000, this is a rational number
18.466666... = 277/15, this is a rational number
The number, option (B) √31 is not a rational number.
What is a rational number?A rational number can be defined as any number which can be represented in the form of p/q where q ≠ 0. It can be made by dividing an integer by an integer.
For the given situation,
The number is a rational number when it is in the form of fraction as [tex]\frac{p}{q}[/tex].
The options are
a) -5 4/11
⇒ [tex]-5\frac{4}{11}=-\frac{59}{11}[/tex]
The number is expressed in fraction. So it is a rational number.
b) √31
The number cannot be expressed in fraction. So it is not a rational number.
c) 7.608
⇒ [tex]7.608=\frac{7608}{1000}[/tex]
The number is expressed in fraction. So it is a rational number.
d) 18.46 repeating
⇒ [tex]18.4666666667=\frac{277}{15}[/tex]
The number is expressed in fraction. So it is a rational number.
Hence we can conclude that the number, option (B) √31 is not a rational number.
Learn more about rational numbers here
https://brainly.com/question/19161857
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Find x if AB = x-6, BC = 7,
and AC= -8 + 2x.
Answers
Answer:
9
Step-by-step explanation:
set up the equation: ab+bc=ac
(x-6) + 7 = (-8+2x)
Step 1: Simplify both sides of the equation.
x−6+7=−8+2x
x+−6+7=−8+2x
(x)+(−6+7)=2x−8(Combine Like Terms)
x+1=2x−8
x+1=2x−8
Step 2: Subtract 2x from both sides.
x+1−2x=2x−8−2x
−x+1=−8
Step 3: Subtract 1 from both sides.
−x+1−1=−8−1
−x=−9
Step 4: Divide both sides by -1.
−x/−1 = −9 /−1
x=9
4. What is the perimeter of the rectangle
below?
6 in.
8 in.
8 in.
6 in.
Answers
Answer:
28 in.
Step-by-step explanation:
All you have to do is all the length of all the sides: 6+6+8+8=28 in.
A side of the triangle below has been extended to form an exterior angle of 160°. Find the value of xx.
Answers
Answer:
am sorry i dont know i just came for the coins bye
Step-by-step explanation:
a=4-2/3x^2
But make x the subject, I need the equation and answer
Answers
Step-by-step explanation:
just trying....hope that helps
PLZZZZ HELP ASAP I NEED HELP ON 1., 2., and 3. ASAP TY
Answers
HELP DUE IN 6 MINS!
Solve for x:
x − 6 = -3x + 22
Answers
Answer and Step-by-step explanation:
To solve for x, you need to get it by itself.
First, add 6 to both sides, and 3x to both sides of the equation.
4x = 28
Now divide by 4 on each side.
x = 7
x = 7 will be your answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer:
x=25
Step-by-step explanation:
so -3x+22 is 19x
I know this because since it's a negative number adding a larger number will make it a positive number
now what we have to do is to add 19x+6 and that's 25x or just x
hope this helps
The formula for distance traveled d is d=rt, where r is the average speed of the object and t is time traveled. If an object travels 75 meters in 30 seconds, what is its speed?
Answers
Answer:
22.5
Step-by-step explanation:
d= 75(.30)
Jerry is painting a fence made of 4 wooden planks. He has 4 different colours to choose from. He randomly chooses a colour for each plank. What is the probability that all 4 planks are not the same colour?
Answers
Consider a triangle ABC like the one below. Suppose that A=121° C = 25°, and a=64. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answers
Answer:
4
Step-by-step explanation:
i need points bro
Determine whether the number is rational or irrational and round it to the nearest hundredth. - 3/7
Answers
Answer:
Yes, it's a rational number
Step-by-step explanation:
-3/7. It is a rational because. It can be written as p/q form. Where p/q are non zero number. And in decimal it would be -0.42
Answer:
-3/7 is a rational because as it can be written as p/q form where p/q are integers and q≠0.
-3/7 = -0.4285
To the nearest hundredth,
=> -0.43
I need help with 4, 5, and 6 and this is Geometry.
Answers
Answer:
it is the 7th
Step-by-step explanation:
plz take my answer
What is the solution of the system of linear equations graphed below?
Answers
Answer: (1.125,-0.25)
Step-by-step explanation: The point that is the same for both equations is the point where they intersect. It appears from the graph to be around (1,0). We should confirm this by deriving the equation for each line and then solving them. Use the standard format: y = mx+b, where m is the slope and b the y-intercept.
I calculate the 1st line (angled down to the right) to have a slope (m) of -2 [y drops 2 for every increase of 1 for x). The y intercept is 2 (b). This equation would be y = mx+b, or y = -2x + 2.
The second line has a positive slope of 2/3 and a y intercept of -1, y = (2/3)x-1
Set these two equations equal to each other and solve for x.
-2x+2=(2/3)x-1
x = 1.125
Use that value of x to solve for y: y = -0.25
The point of intersection is therefore (1.125, -0.25)
Amanda is comparing the costs of two cell phones and their corresponding monthly bills. She came up with the equation 45x+93 = 30x+123. Explain what the parts of this equation could represent for this situation, including the variables, the numbers 45 and 30, the numbers 93 and 123, and the solution to the equation.
Answers
Answer:
x=2
Step-by-step explanation:
[tex]45x + 93 = 30x + 123 \\ 45x - 30x = 123 - 93 \\ 15x = 30 \\ x = \frac{30}{15} \\ x = 2[/tex]
Round 27,850 to the nearest thousand.
Answers
Answer:
28000
Step-by-step explanation:
round up if number is greater than 5
Anyone? Got an ideas
Answers
Solve
6.25, -√(25, π, 10/3, √15 least to gratest
Answers
It’s 10/3 which is 3.33 then it’s the square root of 15 who’s is 3.8 then the last is 6.25
An internet company charges $13.99 for a dvd plus a one-time shipping fee of $5.99. You have no more than $115 to spend. What is the most dvds you can buy?
Answers
one CD is $19.98 with the shipping fee so use what money you have and see what you get :)
+
Name:
Fraction Word Problems
Solve each problem.Answer as a mixed mumber (if possible).
1)
Olivia needed 4 1/6
feet of thread to finish a pillow she was making. If she has 4 times as
much thread as she needs, what is the length of the thread she has?
2.
Answers
Complete the equation describing how x
and y are related.
Answers
Answer: -5
Step-by-step explanation:
A new popular midsize car has a retail price of $25,000. The midsize car's value M(t) is given by the exponential model M(t)= 25,000 (4/5)^t where t represents the time in years. Identify the domain, in yearly intervals, that contains all the years the car's value is less than $1,000.
[13, ∞)
[14, ∞)
[15, ∞)
[16, ∞)
Answers
Answer:
Its C
Step-by-step explanation:
Just got it right on the homework.
(5-3y)^2
it makes me write more characters sooooooo
Answers
Step-by-step explanation:
[tex](5 - 3y) {}^{2} \\s olution \div \\ ( - 3y + 5) + 5( - 3y + 5) \\ 3y( - 3y + 5) \ + 5( - 3y + 5) \\ 9y {}^{2} - 15y + 5( - 3y + 5) \\ 9y {}^{2} - 15y - 15y + 25 \\ 9y { }^{2} - 30y + 25 \\ [/tex]
hope this will help u :)
Answer:
I dont understand if he/she needs it worked out or what, because the question makes no sense?
Step-by-step explanation:
Evaluate- (5 - 3y) 2
Subtract the terms- (- 3y + 5) 2
Solution- 9y2 - 30y + 25
Alternative Form- (3y - 5)2
PLEASE HELP ME I WILL GIVE BRAINLY
List all the factors of the number.
1. 18
5. 27
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime.
9. 27
13. 55
List all the common factors of the pair of numbers
17. 15, 22
21. 9, 36
Find the greatest common factor of the pair of numbers
25. 25, 30
29. 14, 28
Find the least common multiple the pair of numbers
33. 5, 7
37. 9, 15
Find the least common denominator of the pair of fractions
41. ⅓, 11/12
45. ¾, 9/70
Answers
Answer:
1. 18: 1 x 18, 2 x 9, 3 x 6: 1, 2, 3, 6, 9, 18
5. 27: 1 x 27, 3 x 9: 1, 3, 9, 27
9. 3 x 3 x 3
13. 5 x 11
17. 1
21. 9
25. 5
29. 14
33. 35
37. 45
41. 12
45. 140
Rewrite in factored form, do not solve
X^2-x-56=0
Answers
Answer:
[tex] {x}^{2} - x - 56 = 0 \\ { \boxed{ (x - 8)(x + 7) = 0}}[/tex]
