A rectangular area is being fenced in along a river that serves as one side of the rectangle.
(a) Write an expression for the total amount of
fencing needed in terms of the width, w, and the
length, 1.
(b) If w=12 feet and 1= 20 feet, how much fencing
is needed? Use proper units
W
river
W
(c) If the amount of fencing we have available is 120 feet and we want to devote 30 feet of it to the length, 1,
then set up an equation to solve for w and find the width.
Answers
a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = F = l + 2w
b. F = 44 ft
c. The width (w) = 45 ft.
What is the Perimeter of a Rectangle?Perimeter of rectangle = 2(length + width)
a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = l + 2w
F = l + 2w
b. w = 12 ft
l = 20 ft
Amount of fencing needed, F = l + 2w = 20 + 2(12)
F = 44 ft
c. F = 120 ft
l = 30 ft
Substitute F = 120 and l = 30 into F = l + 2w to solve for w
120 = 30 + 2w
120 - 30 = 2w
90 = 2w
90/2 = w
w = 45
The width (w) = 45 ft.
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Related Questions
1. Find the value of two numbers if their sum is 12 and their difference is 4.
Answers
Answer:
8 and 4
Step-by-step explanation:
Answer:
8+4
Step-by-step explanation:
8-4 is equal to 4 and 4+8 is equal to 12
Refine Finding Unit Rates Involving Ratios
of Fractions
Ол
Complete the Example below. Then solve problems 1-9,
Example
Angela lives 0.6 mile from the park. It takes her hour to walk her
dog to the park. How quickly are Angela and her dog walking in
miles per hour?
a problem
Answers
a bird flies from the bottom of a canyon that is 68 3/5 feet below sea level to a nest that is 676 3/5 feet above sea level. what is the difference in elevation between the bottom of the canyon and the birds nest
Answers
Answer: you can minus it
Step-by-step explanation:
676 3/5
-68 3/5
=606 0/0
the 0/0 can be left aswell
Which relation is a function?
Can someone help me please?!!!
Answers
Answer:
The second one is a function.
Step-by-step explanation:
The other 3 have one-to-many mappings.
For example the first relation has 1 mapping to 2, 3, 4 and 5.
Please help, thanks. Simplify the radical
Answers
Answer:
The top one i believe
Step-by-step explanation:
The image of the point (2, -3)under a translation is (1, -6)Find the coordinates of the image of the point (9, -5)under the same translation.
Answers
The image of the point (2, -3)under a translation is (1, -6). the coordinates of the image of the point (9, -5)under the same translation is (9,-8).
With the aid of mirror-related concepts, we will first build a diagram of the image position in order to determine the coordinates of the image location. We will use trigonometry to determine the necessary coordinates after sketching the diagram.
Without needing to change its orientation, a translation relocates an item from its original location on the coordinate grid.
An illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape.
Image of the point (2,-3)
under the translation (2,-6)
2+a=2
a=2-2
a=0
-3+b=-6
b=-6+3
b=-3
By applying the translation (x+0,y-3) to (9,-5)
(9+0,-5-3)
(9,-8)
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Complete the following sentence. (Lesson 0-1)
54 in .= ? ft
Answers
Answer:
54 inches = 4.5 feet.
Step-by-step explanation:
f (x) = 5x8 - 25x7
What is the degree of f
Answers
The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.
What is the degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content?It follows from the task content that the degree of the polynomial in discuss is to be determined as required in the task content.
First, it is noteworthy to know that the degree of a polynomial is the greatest power of a variable present in the polynomial.
On this note, it follows that the degree of the function in this scenario is; 8.
Ultimately, The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.
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the sum of r cubed and 4 times m
Answers
Answer:
r^3+4m
Step-by-step explanation:
K'
Write the coordinates of the vertices after a reflection over the x-axis.
304
-10 4
L'=
M'=
6
-8
0
4
2
2
6
Answers
Answer:can you right It all together?
Step-by-step explanation:
Find the difference
-8 - 3
Answers
Answer:
-11
Step-by-step explanation:
Starting at -8 you subtract three, meaning you go three numbers lower which would be -11.
Steve is on a baseball team. Steve has hit 5 home run in the thirty-five times he’s been up to bat. At this pace, how many at bats would Steve need to hit twenty-four home runs?
Answers
Answe46 points scored
Step-by-step explanation:
What is the slope of the line that passes through the points (1,-6) and (-2,-8) ?
Answers
We can conclude that the slope of the line is (-2, -3).
What do we mean by the slope?The slope of a line indicates its steepness. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).The formula of slope: y₂ - y/x₂ - x₁
Put the values in the formula as follows:
y₂ - y/x₂ - x₁-8 - (-6)/-2 -1-2/-3Therefore, the slope of the line is (-2, -3).
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Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
Answers
[tex]a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360[/tex]
Write an
inequality that represents the
temperatures (in degrees Fahrenheit)
of the interior of the iceberg.
-20°C to
-15°C
Answers
The inequality representation can be expressed as: -4 < x < 5
Representation of real number into inequality.An inequality is a mathematical connection that exists between two expressions and may be expressed by one of the following:
"greater than >" "less than < ""less than or not equal to ≤: "greater than or equal to" ≥:From the given expression, the conversion of °C to F is estimated by using the formula:
(°C × 9/5) + 32
For -20°C , we have:
= (-20°C × 9/5) + 32
= -4 F
For -15°C, we have:
= (-15°C × 9/5) + 32
= 5 F
Therefore, this can be represented in inequality form as: -4 < x < 5.
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A cell phone company charges an initial price of $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? (2 points) r: (0, 500) r: (60, 560) r: ℠r: (−[infinity], [infinity])
Answers
The range of the given function is: (500, ∞).
What is the range of a function?The collection of potential output values for a function is known as its range.
Now,
Given:
Initial price of the cell phone = $500Monthly charge = $60Let 't' be the number of months. Then, the function C(t) can be calculated as:
C(t) = 500 + 60t
For range:
The minimum value will be when t = 0, i.e., when no charge has been charged by for each month.
Thus, C(0) = 500 + 60(0)
=> C(0) = 500
The maximum value will be when t = ∞, i.e., for infinite number of months.
=> C(∞) = 500 + 60(∞)
=> C(∞) = 500 + ∞
=> C(∞) = ∞
Thus, the range of the function will be: (500, ∞).
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PLEASE HELP I REALLY NEED HELP DO IN 10 MINUTES PICTURE ATTACHED GIVING BRAINLIEST
Answers
Answer:
4 chapters
Step-by-step explanation:
16x4=64
HELP ME PLEASE!!!!
.
.
.
.
.
.
WITH QUESTION A!
Answers
Answer:
Cohesion and Adhesion. The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
Step-by-step explanation:
Cohesion: the water molecules attract each other and are responsible for the surface tension of water.
Adhesion: the water molecule is also able to attract other non-water molecules. This allows water to be able to ‘cling’ to the sides of a capillary tube.
The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
please let me know if you need a deeper/ more complex explanation, i am always happy to help :)
The range of the transformation function f(x,y)= (x+5,y-8) is (10,8), (-2,7), and (7,9) which point is in the domain
Answers
We get that the domain will be {-7, 2, 5}.
We are given a transformation function:
f ( x , y ) = ( x + 5 , y - 8 )
Also, we are given the points in this transformation function as:
(10, 8), (-2, 7) and (7, 9)
Now, we have to find the point that lies in the domain of the function.
We have:
x + 5
Also, the values of x + 5 are given as 10, -2 and 7.
For (10, 8)
x + 5 = 10
x = 10 - 5
x = 5
For (-2, 7)
x + 5 = -2
x = - 2 - 5
x = - 7
For (7, 9)
x + 5 = 7
x = 7 - 5
x = 2
So, domain is {-7, 2, 5}.
Therefore, we get that the domain will be {-7, 2, 5}.
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Most cars can travel around 20 miles per gallon of gas that is in their tank. write a rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g.
Answers
A function rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g is given by: d = 20g
What is a proportion?A proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a rule that relates the total distance (d) which a car can travel as a function of the number of gallons (g) of gas in its tank:
d = 20g
Where:
d represents the total distance travelled.20 represents the constant of proportionality.g represents the number of gallons.In conclusion, the total distance (d) traveled by most cars is directly proportional to the number of gallons (g) of gas in their tank at a constant rate of 20 miles per gallon of gas.
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1. Which set of numbers has the largest variance?
a. 7, 8, 9, 10
b. 1, 3, 4, 7
c. 4, ?2, ?1, 0
d. 1, 0, 2, 4
2. What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?
a. 29
b. 6.8
c. 7
d. 8.5
Answers
1) 1,3,4,7 dataset has the highest variance.
1. How to find the largest variance of given set of numbers?Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
to find the variance,
first step is to calculate the mean Next, take each data point and square the difference after subtracting the mean. All values' squared differences are added. Next, divide the total by the number of data points. this is the process to get the variance.
a) now given that a. 7, 8, 9, 10
[tex]mean = \frac{sum \: of \: al l\:data \: points \: }{ total \: number \: of \: data\: points \: } [/tex]
[tex]mean = \frac{(7 +8 + 9 + 10) }{4} [/tex]
mean = 8.5
now, take each data point and square the difference after subtracting the mean.
[tex](7 - 8.5) {}^{2} = 2.25 \\ (8 - 8.5) {}^{2} = 0.25 \\ (9 - 8.5) {}^{2} = 0.25 \\ (10 - 8.5) {}^{2} = 2.25[/tex]
All values' squared differences are added.
2.25+0.25+0.25+2.25=5
Next, divide the total by the number of data points.
5/4 = 1.25
Hence the variance of 7,8,9,10 is 1.25
b) given that 1,3,4,7
mean = 3.75
variance = 18.75/4 = 4.68.
Hence the variance of 1,3,4,7 is 4.68
c) given that 4,2,1,0
mean= 1.75
variance= 2.1875
Hence the variance of 4,2,1,0 is 2.1875
D) given that 1,0,2,4
mean= 1.75
variance= 2.1875
Hence the variance of 1,0,2,4 is 2.1875
Therefore 1,3,4,7 dataset has the highest variance.
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the first possession of each nfl game is decided by a coin toss. is this process deterministic, or truly random?
Answers
A coin toss determines the first possession of each NFL game. This process deterministic not random event because the initial coin flip only determines whether a team receives the ball now at start of the first or third quarter.
What is meant by first possession?Possession in football refers to a team keeping possession of the ball for as longer as possible in order to create opportunities for goals and prevent this same opposition from posing a threat to the team's goal.
Some key features regarding the first possession in NFL game are-
The scoring team wins if the first possession results in such a touchdown (by receiving team or a defensive team on a turnover) or a safety by the defensive team. If the receiving team is unable to score and loses possession, this same game is decided by sudden death, with the first team to score winning.Many NFL fans oppose the current overtime setup in which the winning team can elect to catch the ball, move down the field, and score, effectively ending the game without allowing the opposing team to touch the ball on offense.If the resolution of player decisions results in completely predictable outcomes, the game is deterministic. It is indeterministic to some extent if actions result in potentially chaotic outcomes.To know more about the random events, here
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PLS HElP ITS FOR IXL
Write an algebraic expression
f is j decreased by 207
Answers
Answer:
f = j - 207
Step-by-step explanation:
j decreased by 207 means j - 207
so,
f = j - 207
Answer:j-207
Step-by-step explanation:
I'm assuming you meant if j decreased by 207
In 2006, the population of the country was 33.3 million. This represented an increase in population of 6.5% since 2001. What was the population of the country in 2001? Round to the nearest hundredth of a million.
Answers
The population of the country in 2001 to the nearest hundredth of a million is 24.31 million
What was the population in 2001?If the population grows by 6.5% every year, the population grows at a compound rate. The equation that can be used to determine the population in 2001 would be an exponential equation. The equation that can be used to represent an exponential equation is: a = [tex]mx^{b}[/tex]
When a population grows at a compound rate, it means that both the existing population and the increase in the population increase by 6.5 every year.
The equation that can be used to determine the population of Tacoma in 2017 is:
P = FV / (1 + r)^n
Where:
FV = Future value P = Present populationR = rate of growthN = number of years : 2006 - 2001 = 533.3 / ( 1 + 0.065)^5
33.3 / (1.065^5) = 24.30503 million
In order to round 24.30503 million to the nearest hundredth , look at the thousandth figure, if it is greater or equal to 5, add one to the hundredth digit and change the thousandth digit to 0. So, 24.30503 million becomes 24.31 million
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what is the relationship between the values of the two 4s in the weight of the potatoes?
Answers
The relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
How to illustrate the information?In this case, the weight of a potato is given as 3.441g.
It should be noted that the first 4 is in the tenth place and is written as 0.4.
On the other hand, the second 4 is in the hundredth place. The value is 0.04.
Therefore, the relationship between the numbers will be:
= 1/10 × 1/10 = 1/100
Therefore, the relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
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The weight of a potato is given as 3.441g. Ehat is the relationship between the values of the two 4s in the weight of the potatoes?
place the items in the order in which they are found by selecting the correct step from each blue box.
Answers
You move up 2 units and down 5 units. You end at (5, -4). Where did you start?
Answers
Answer:
(5,-1)
Step-by-step explanation:
The table shows the elevations of four cities in the Netherlands.
Elevations in the Netherlands
Location
Elevation (in meters)
Amsterdam
2
Rotterdam
–4
Utrecht
1
Vaalserberg
322
Which city in the Netherlands is below sea level?
Amsterdam
Rotterdam
Utrecht
Vaalserberg
Answers
Answer:
Rotterdam
Step-by-step explanation:
0 is sea level and anything above 0 is above sea leavel and anything below is below sea level
Hope this help
you perform an experiment to determine how many breaths a fish takes per minute. your experiment yields the following data: minute 1:65 breaths; minute 2:73 breaths; minute 3:67 breaths; minute 4:71 breaths; minute 5:62 breaths. calculate the average number of breaths that a fish takes per minute.
Answers
The average breaths taken per minute by the fish is 22.53. This is obtained using the previous knowledge of average.
What do you mean by average?
An average is a single number that is used to represent an entire group of things. Averages are calculated by dividing the sum of all values by the total number of values.
Calculation of average number of breaths taken by a fish per minute
Given:
Breaths in 1 minute are 65
Breaths in 2 minutes are 73
Breaths in 3 minutes are 67
Breaths in 4 minutes are 71
Breaths in 5 minutes are 62
Total breaths = 65 + 73 + 67 + 71 + 62
= 338
Total time taken = 1 + 2 + 3 + 4 +5
= 15 minutes
The average number of breaths = total breaths / total time taken
= 338 / 15
= 22.53 breaths per minute
Hence, the average breaths taken per minute by the fish is 22.53.
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9. Royanne determined that it cost her $.75 a day to make her own lunch
for school. If she ate in the cafeteria, lunch would cost $2.25. In five days,
how much money would Royanne save by bringing her own lunch to
school?
O $5.50
O $7.50
$9.50
Answers
If you calculate how much money it would cost her to make her own lunch times the five days which you will get…
0.75 *5= $3.75
And then calculate how much money it would cost her to eat in the cafeteria times the five days..
$2.25*5=11.25
Now you want to subtract the amount she makes her own lunch and the amount that she would eat in the cafeteria so…
11.25 - 3.75 = $7.50
So in the end she would save $7.50 if she was to bring her own lunch to school.
I hope this helps, have a good day! :D