Cheryl fenced in a rectangular kennel and used more fence to divide it into six equally sized sections for her dog i
h is friends as shown. The length of each section is 2 feet more than 3 times its width.
T
If the total amount of fence used for the kennel is 113 feet, what is the area of each section?
Enter the value of the answer in the first blank and enter the units in the second.
Enter your answer in decimal form. Round to the nearest tenth if rounding is necessary.
Enter units as ft., square ft., or cubic ft.
Answer:
The area of each section of the kennel is 33 square ft
Step-by-step explanation:
The given parameters for the fencing are;
The length of each section, L = 2 ft + The width, 3×W
The total amount of fencing = 113 feet
The The total perimeter of the kennel = 12·W + 7·L = 113
Were we are given L = 2 + 3·W
By substitution, we have;
12 × W + 7 × (2 + 3·W) = 113
33·W + 14 = 113
33·W = 113 - 14 = 99
W = 99/33 = 3
W = 3 ft.
L = 2 + 3·W = 2 + 3 × 3 = 11
L = 11 ft.
The area of each section of the kennel, A = L × W = 3 × 11 = 33 square ft.
The area of each section of the kennel = 33 square ft.
Just look at the picture lol.....The equations of three lines are given below. Line 1: 8x-6y=-2 3 Line 2: y=-x-5 4 Line 3: 4y=-3x+3 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel O Perpendicular O Neither Х Line 1 and Line 3: O Parallel O Perpendicular O Neither Line 2 and Line 3: Parallel O Perpendicular Neither
Answer:
Step-by-step explanation:
We will use the following steps to solve this problem,
Step - (1).
Covert the equations into slope-intercept form.
Step - (2)
If the slopes of the two lines are equal, lines will be parallel.
[tex]m_1=m_2[/tex]
Step - (3)
If the slopes of the two lines are negative reciprocal, lines will be perpendicular.
[tex]m_1\times m_2=-1[/tex]
Line 1: 8x - 6y = -2
6y = 8x +2
y = [tex]\frac{4}{3}x+\frac{1}{3}[/tex]
Slope of line 1 = [tex]m_1=\frac{4}{3}[/tex]
Line 2: y = [tex]-\frac{3}{4}x-5[/tex]
Slope of line 2 = [tex]m_2=-\frac{3}{4}[/tex]
Line 3: 4y = -3x + 3
y = [tex]-\frac{3}{4}x+\frac{3}{4}[/tex]
Slope of line 3 = [tex]m_3=-\frac{3}{4}[/tex]
1). Since, [tex]m_1\times m_2=\frac{4}{3}\times (-\frac{3}{4})=-1[/tex]
Line 1 and line 2 are perpendicular.
2). Since, [tex]m_1\times m_3=\frac{4}{3}\times (-\frac{3}{4})=-1[/tex]
Line 1 and line 2 are perpendicular.
3). Since, [tex]m_2=m_3=-\frac{3}{4}[/tex]
Line 2 and line 3 are parallel.
Olympi
During the 1996 Summer Olympics in Atlanta, Georgia
the American athlete Michael Johnson set an
and world record in the men's 200-meter run. He finishe
the race in 19.32 seconds, breaking the previous Olympi
record of 19.75 seconds. By how much did Micha
Johnson break the previous Olympic record?
Answer: he broke the record by 0.43 seconds
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
9514 1404 393
Answer:
39 cm
Step-by-step explanation:
1521 = 3·3·13·13 = (3·13)² = 39²
The length of the side of the square is 39 cm.
If three quarters of the pizza provided 12 pieces to the table how many pieces were in the pizza when it was full
Answer:
9
Step-by-step explanation:
Answer:
16 slices of pizza
Step-by-step explanation:
divide 12 by 3
that would give you 4
now add 4 to 12
viola you have the answer of 16
Help find domain and range
Answer:
d: 4 r:5
Step-by-step explanation:
for domain the x coordinates doesn't go over -2 on the left or 2 on the right so if u add the units of the space in between it's 4 since 2- (-2)=4
for the range, the y coordinates never goes over 3 or -2 so range is 5 is u add the units in between
I hope that makes sense!
PLS help guys dont do it for the points and you have to find the sum
Answer:
12/15 or 4/5
Step-by-step explanation:
4+1+7=12
All three fractions have common denominator which is 15
Answer:Exact Form 4/5
Decimal form: 0.8
or it is 8/10, 12/15, 16,20, 20/25 and 24/30
Select all the expressions that have a value of 180 when b = 4.
87b−179+957÷87
33b12
b2+120
51b−24
11b+187−2,756÷13
Answer:
87b-179+957÷87=180
51b-24=180
Step-by-step explan
What is the simplest form of x^2+5x-6/x^2+9+18?
Answer:
(x+6)(x+1)=x²+5x-6
x²+27=x²+9+18
Answer:
C - x-1/x+3
Explanation:
Edg2020
3) The International Space Station takes 644 minutes to orbit Earth 7 times. About how long does each orbit take? I got 92 am I correct to crazy? 100 minutes 95 minutes 90 minutes 80 minutes
Given:
The International Space Station takes 644 minutes to orbit Earth 7 times.
To find:
The time taken by each orbit.
Solution:
Total time = 644 minutes
Total number of orbits =7
Now,
[tex]\text{Time taken be each orbit}=\dfrac{\text{Total time}}{\text{Number of orbits}}[/tex]
[tex]\text{Time taken be each orbit}=\dfrac{644}{7}[/tex]
[tex]\text{Time taken be each orbit}=92[/tex]
So, the required time is 92 minutes.
Therefore, you are correct and all options are incorrect.
Does the following represent a proportional relati
1
2
2
3 10
Is 10, 24, and 13 a Pythagorean triple?
A. yes
B. cannot tell
C. no
Answer:
C. no
Step-by-step explanation:
A bus can travel 150 miles in 4 hours, what is the constant of proportionality per hour?
Answer:
37.5 miles per hour
Step-by-step explanation:
PLEASE HELP!! 15 POINTS FOR THE CORRECT ANSWER (NOT POINT D)
Answer:
I do not see any question and we only get 5 points.
Step-by-step explanation:
Find the slope and y-intercept for the table.
slope:
y-intercept:
Answer:
Slope is 3
y-intercept is 2
4v + 4(v + 10) = -2v - 20
A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 students in the school will buy today?
Number of student lunch today is 450 students
Given:
Fraction of student lunch today = 5/8
Total number student = 720 students
Find:
Number of student lunch today
Computation:
Number of student lunch today = Fraction of student lunch today × Total number student
Number of student lunch today = (5/8) × (720)
Number of student lunch today = (5) × (90)
Number of student lunch today = 450 students
Learn more:
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marking brainliest for best answer and extra points
Answer:
B
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
Given the measure of two of the angles, find the measure of the third angle.
P.
S
SAX = 143°
ZPAX = 56°
х
What is the measure of SAP?
(Simplify your answer.)
Answer:
87°
Step-by-step explanation:
subtract 143-56 to get the remaining angle
-37 - 7r = -3(5r - 9)
Answer:
r=8
Step-by-step explanation:
-37-7r= -15r+27
-7r=-15r+64
8r=64
divide 8
r=8
Answer:
I have the answer:).
Step-by-step explanation:
According to a high-standard calculator, r = 8.
Hope I can help:)!!
I need help please
Answer:
no solution, these are parallel lines b/c same slope
Step-by-step explanation:
rewrite first one to = y : y = 3x + 10
3x + 10 = 3x - 6
If f(x) = 2x – 1 and g(x) = f(x + 1), how does the graph of g compare with the graph of f?
O
A. g is a horizontal translation of f by 0 units.
B. g is a horizontal translation off by 1 unit.
C. g is a horizontal translation of f by 2 units.
D. g is a horizontal translation off by 3 units.
PLEASE HELP ME ASAP DUE IN A FEW MINUTES
Answer:
B
Step-by-step explanation:
the answer is b because the graph will shift to the left by 1 :D
‼️Help please‼️
A tank full of water is leaking at a constant rate for 30 minutes. The equation y= -7x + 300 gives the amount of water in the tank, where y is the number of liters and x is the number of minutes since the tank began to leak. Which statement is true?
Answer: A
The answer should be A. you probably answered the questoion alr so sorry if you got it wrong
Step-by-step explanation:
it should be A because its not C and D, and B doesnt make sense because it never mentioned anything about 20 minutes.
The price of an item has risen to $238 today. Yesterday it was $140. Find the percentage increase.
HELP
DONT SWIPE PAST
OH Amy bad for assuming you swiped tysm for helping!!
Answer:
The percentage increase is 70%
Step-by-step explanation:
There is a calculator that solves the problem for you just enter the 2 values that they ask for
please help!! thank you
Answer:
28/15
Step-by-step explanation:
17/5 x 2/3 28/15
Answer:
The answer is 34/15
Step-by-step explanation:
Convert the mixed number to an improper fraction - 17/5Then multiple 17/5 and 2/3 and you get 34/15If you don't know how to change mixed numbers you multiple the denominator and the number on the outside. After you get the answer you add the numerator to the sum.
Whoever gives me the correct answers I will give brainlyest.
Carlos walks 3 miles every night for exercise. It takes him exactly 56 minutes to finish his walk.
A) Assuming he walks at a constant rate, write a equation to represent how many miles, y, Carlos can walk in x minutes. (answer can be kept as a fraction or rounded correctly to the nearest hundredths place)
B) How many miles can Carlos walk in 18 minutes? (Your answer should be rounded to the nearest tenths or hundredths place).
Answer:
its B
Step-by-step explanation:
Because It says how many milescan he walk not how many Did he walk
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
Step-by-step explanation:
3x + 8y = -40
8y = -40 - 3x
y = -5 - 3/8x
y = -3/8x - 5
Equation that represents a line which is parallel to y = -3/8x - 5 can be any equation as long as it's y = -3/8x + c, as in c can be any value as long as the other parts of the equation is not changed
f(0) = 3 and f(1) = 15.
Answer:
Step-by-step explanat
Given=F(0) = 3 and f(1) = 15.
So f(X)=12x+3
When X=0, f(0)=12x0+3=3
When X=1, f(1) = 12x1+3= 15
So f(X)=12x+3 is the solution o
Which point lies on the graph of the finite sequence shown? 5,-1,6, 0, 7, 1,8 O (-1,2) (0,5) (5, 1) (6, 1)
Answer: (6,1)
Step-by-step explanation:
A point which lies on the graph of the finite sequence is,
⇒ (6, 1)
Given that;
A sequence is,
⇒ 5, -1, 6, 0, 7, 1, 8
Now, You have to look at the first coordinate (x -Axis) then go over that many times in the sequence and if that number is matched with the y-axis, then you got it.
Hence, Look at your numbers then go to (6, 1) go over 6 and if you land on 1 then that's the answer.
Thus, A point which lies on the graph of the finite sequence is,
⇒ (6, 1)
Learn more about the sequence visit:
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average rainfall in clearview is 38in
this year 29.777in fell. how much less rainfell this year than falls in a average year?
Answer: 8.223in less rain fell today.
Step-by-step explanation:
38in. - 29.777in. = 8.223in