6) You have a rectangular backyard that is 90 feet wide. It has an area of 10,800 square feet. You are
putting a fence along one length of the yard.
a. Use the formula for the area of a rectangle A = 1 w, where I is the length, and w is the width. Find
the length of your backyard.
b. The fence costs $12.50 per linear foot. What is the total cost of the fence for one length of the yard?
Answers
Answer:
Length = 120 ft
Total cost = 1500$
Step-by-step explanation:
First, to find the length of the backyard we reverse the formula (A = l * w) and divide 10,800 by 90.
10,800 ft^2 / 90 ft = 120 ft.
we can check this by plugging the length of 120 ft into the formula:
120 ft * 90 ft = 10,800 ft^2.
Next, to find the cost of the single length of fence we multiply our length (120 ft) by the cost ($12.50):
120 * 12.50 = $1500
Related Questions
evaluate 2/6.341+3/9.222
Answers
The evaluation of the given improper fraction is 0.64071.
How do we evaluate fractions?We can evaluate improper fractions by simply determining the L.C.M of the denominators and equating it to the numerators.
Given that:
[tex]=\mathbf{\dfrac{2}{6.341} +\dfrac{3}{9.222} }[/tex]
= The L.C.M for 6.341 and 9.222 is 58.476702.
So, we have:
[tex]\mathbf{= \dfrac{18.444}{58.476702} +\dfrac{19.023}{58.476702} }[/tex]
[tex]\mathbf{= \dfrac{18.444+19.023}{58.476702} } }[/tex]
[tex]\mathbf{= \dfrac{37.467}{58.476702} } }[/tex]
= 0.64071
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When 5times a number is increased by 10, the answer is the same as when 100 is decreased by the number. What is the number?
Answers
Answer:
x = 15
Step-by-step explanation:
[tex]5x + 10 = 100 - x[/tex]
[tex]6x = 90[/tex]
[tex]x = 15[/tex]
What are the x-intercepts of this function?
g(x) = -0.25x2 − 0.25x + 5
Answers
Answer:
(-5,0) and (4,0)
x= -5 and x= 4
Step-by-step explanation:
Select three ratios that are equivalent to 11:111:111, colon, 1.
Choose 3 answers:
Answers
The three ratios that are equivalent to the given ratio are options B, C and E.
How to determine the equivalent ratios?In order to determine the ratios that are equivalent to the given ratio, we would evaluate by dividing each of them by their respective denominator value:
(11:111:111)/1 = 11:111:111.
For choice A, we have:
1:111:111/11 = 1/11:111:111 (not equivalent).
For choice B, we have:
22:222:222/2 = 11:111:111. (equivalent).
For choice C, we have:
55:555:555/5 = 11:111:111. (equivalent).
For choice D, we have:
9:999:999/99 = 1/11:111:111 (not equivalent).
For choice E, we have:
110:1110:1110/10 = 11:111:111. (equivalent).
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Complete Question:
Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:111, colon, 11 (Choice B) B 22:222:222, colon, 2 (Choice C) C 55:555:555, colon, 5 (Choice D) D 9:999:999, colon, 99 (Choice E) E 110:1110:1110, colon, 10.
Choose the most convenient method to graph the line y=−13x+5
Select the correct answer below:
Recognize the equation as that of a vertical line passing through the x-axis at 5
Recognize the equation as that of a horizontal line passing through the y-axis at 5
Identify the slope and y-intercept and then graph
Find the x- and y-intercepts and then graph
Answers
The most convenient method to graph the line y=−13x+5 is C. Identify the slope and y-intercept and then graph.
How to illustrate the information?From the information given, the equation has been given. It's important to identify the slope. This is the gradient of the line.
Also, the y intercept should be identified. Therefore, the most convenient method to graph the line y=−13x+5 is to identify the slope and y-intercept and then graph.
In conclusion, the correct option is C.
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Then what is the value of x?
Answers
Answer:
d.) x = -40
Step-by-step explanation:
[tex]\sf Given \ equation: \ log_{5} (-3x+5) = 3[/tex]
Solving steps:
[tex]\rightarrow \sf log_{5} (-3x+5) = 3[/tex]
If logₐ(b) = c then b = aᶜ
[tex]\rightarrow \sf -3x+5 = 5^3[/tex]
[tex]\rightarrow \sf -3x+5 = 125[/tex]
[tex]\rightarrow \sf -3x = 125-5[/tex]
[tex]\rightarrow \sf -3x = 120[/tex]
[tex]\rightarrow \sf x = 120/-3[/tex]
[tex]\rightarrow \sf x = -40[/tex]
Answer:
x= -40
Hope this helps!!
A glass aquarium with the dimensions shown has a mass of 5 kg when empty what is the mass of the aquarium when it is half full of water I will give you king thing if you answer good
Answers
The required mass of aquarium when it is half full of water is 10 kg.
Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)
Volume, is defined as the ratio of the mass of object to its density.
Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg
Thus, the required mass of aquarium when it is half full of water is 10 kg.
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For a population with μ = 165 , z-score =2.46, and data value = 206. Find the standard deviation σ . Round your answer to the nearest hundredths place.
Answers
Answer:
The standard deviation is 16.67
================
GivenMean μ = 165 , z - score z = 2.46, Data value x = 206.To findThe standard deviation σ.SolutionUse z-score formula to find the missing value:
z = (x - μ )/σ ⇒ σ = (x - μ)/zSubstitute values into equation and find the standard deviation:
σ = (206 - 165)/2.46 = 16.67 (rounded).Use the Histogram below to answer
Answers
Considering the given histogram, we have that:
1. Chebyshev's Theorem.
2. At least 89%.
3. At least 75%.
What does Chebyshev’s Theorem state?When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.
-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.
As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.
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Solve the proportion 2:x x 4:34
Answers
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
Solve the proportion. [tex]\bf{\dfrac{2}{x}=\dfrac{4}{34}[/tex].
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
We multiply 2 by 34, and x by 4 (this is known as cross multiplication)
[tex]\bf{2*34=4*x}[/tex] | simplify
[tex]\bf{68=4x}[/tex] | solve in terms of x
[tex]\bf{17=x}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{17=x}[/tex]
Anu bought 15 stickers for 225 each and Arjun bought 25 stickers for 215 each. Who paid more? Give a reason for your answer.
Answers
Answer: Arjun paid more than Anu of about $2000.
Total cost
unit amount × per unit cost
For Anu total cost:
⇒ 15 × $225
⇒ $3375
For Arjun total cost:
⇒ 25 × $215
⇒ $5375
Anu paid $3375 for each whereas Arjun paid $5375 for each.
Conclusion: Arjun paid more.
The length of a rectangle is 8 inches and the width is x inches. What is the perimeter, in inches?
A. 16+ 2x
B. 10+2x
C. 16+ x
D. 10+ x
Answers
need helpppppppppppppppppppp
Answers
Answer:
Its the last option If you ask me.
Step-by-step explanation:
If the price goes up $1.25 every square yard, then I think its the last one.
find sum of 5, 13, 21, ... 181
Answers
Find the volume of a sphere with a diameter of 3 centimeters
Answers
Answer: 14.14
Step-by-step explanation:
Volume=(4/3)*π*r³
Given d=3
as we know that d=2r
3/2=r
1.5=r
Volume=(4/3)*π*(1.5)³
Volume =14.14
4/3 (pi) 3^3
=113.1
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
Ox=8
Ox= 10
Ox=13
Ox=18
Answers
In this activity, you will use multiple representations of relationships to identify key features and solve problems.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Part A
Ryan found that the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study.
Part B
Ryan also found that he could model the height of his plant with the equation h = 0.5d + 4, where d is the number of days and h is the height in centimeters.
Part C (This is the question that I need help on....PLEASE?)
Explain the similarities and differences between the two relationships in this situation.
Answers
The domain will be 0<x<6 and the range will be 0<y<72.
How to illustrate the information?The information given implies that this would be a continuous relationship.
The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.
X is the amount of days that he was studying the plants.
The inequality is written like this for x: 0<x<6.
For the range, y is the plant food that was used which is 72 milliliters.
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A suspension bridge with weight uniformly distributed along its length has twin towers that extend 70 meters above the road surface and are 1200 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 300 meters from the center. (Assume that the road is level.)
Answers
Answer:
17.5 m
Step-by-step explanation:
The height of a parabola above its vertex is proportional to the square of the distance from the vertex.
Cable heightThe towers are 1200 m apart, so each is 600 m from center. The location of interest is 300 m from center, so 1/2 the distance to a tower. Since the height is proportional to the square of the distance, the height half-way to the tower will be (1/2)² = 1/4 the height of the tower.
(1/2)²×(70 m) = 17.5 m
The height of the cable 300 m from center will be 17.5 meters.
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
Remember that there are 5 lead male roles and 4 lead female roles. If you must seat the male leads together, the female leads together, the 3 producers together, and the director by himself, how many different ways can you seat the 13 people around the circular table?
103,680
479,001,600
6,227,020,800
17,280
Answers
Answer:
6227020800
is mi answer
Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1). please help!
Answers
The true statement is (b) she did not represent the two original factors correctly on the headers
How to determine the true statement?The product expression is given as:
(-2x - 1)(2x - 1)
Expand the expression
(-x - x - 1)(x + x - 1)
This means that the header of the algebra tiles would be:
-x, -x, 1 and x, x and -1
From the figure, we can see that this is incorrectly represented
Hence, the true statement is (b)
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Question 10 of 10
Use long division to find the quotient below.
(4x³+ 11x2 +9) + (x+3)
A. 4x²+x+3
OB. 4x²-2x+3
OC. 4x²-x+ 3
OD. 4x²+2x+3
Answers
The quotient of the division using the long division rule is 4x^2 - x + 3
Synthetic division of functionsPolynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.
Dividend = 4x³+ 11x2 +9
Divisor = x + 3
Using the synthetic division to determine the quotient
4x^2 - x + 3
x+3 | 4x³+ 11x2 +9
4x³ + 12x²
__________________
-x² + 0x
-x² - 3x
___________________
3x+9
3x+9
___________________
-------
Hence the quotient of the division using the long division rule is 4x^2 - x + 3
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A circle has a radius of 17cm. Find the radian measure of the central angle θ that intercepts an arc of length 5cm.
Answers
Answer:
3.14 PIE
Step-by-step explanation:
Use Pie the method we all learned I think it’s 3.14
I need help with number 15 and 16
Answers
Answer:
please see explanations
Step-by-step explanation:
For the first question,
Sum of angles in a triangle equal180°3x + 4x + 2x = 180
9x = 180°
Dividing bothsides by 9
9x/9 = 180/9
x = 20
The measure of the interior angles are :
3x = 3(20) = 60
4x = 4( 20) = 80
2x = 2(20) = 40
For the second question,
Let's find x first.
Angles on a straight line equal 180°.x + 92 = 180
x = 180 - 92 = 88°
To find A note that:
Exterior angle equal sum of opposite interior angles.A = 88° + 43°
A = 131°
Find the equation of this line.
1
y = [? ]x + [
Simplify your answer and enter as an integer.
Answers
URGENT!!! NEED ANSWER SOON!!!!
Pretend that you are the owner of a candy store. You have twenty pounds of cashews, which cost $3.55 a pound, and you have some peanuts, which cost $2.50 a pound. How many pounds of peanuts would you have to mix with the cashews to get a mixture that costs $3.20 per pound?
A. 10 pounds B. 9 pounds C. 7 pounds D. 8 pounds
Answers
Answer:
10 pounds
Step-by-step explanation:
So you have some given information:
(Price of cashews per pound) = 3.55
(Amount of cashes) = 20 pounds
(Price of peanuts, per pound) = 2.50
Now what you're looking for is the amount of peanuts you need to get a mixture of 3.20 per pound. So to find the price per pound. You would take the entire price and divide it by the amount of pounds. So generally it can be expressed as: [tex]\text{price per pound} = \frac{\text{price}}{\text{pounds}}[/tex] . In this equation we know we already have 20 pounds of cashews and they cost 3.55 per pound. We also know what the price per pound of the mixture is going to be, it's going to be 3.20. In the equation I'll express the amount of peanuts as "P" So we have the equation:
Plug in known values:
[tex]3.20 = \frac{20(3.55) + P(2.50)}{20+P}[/tex]
Multiply:
[tex]3.20 = \frac{71 + 2.5P}{20+P}[/tex]
Multiply both sides by 20 + P
[tex](20+P)(3.20) = 71+2.5P[/tex]
Distribute the 3.20
[tex]64+3.2P = 71+2.5P[/tex]
Subtract 2.5 from both side and subtract 64 from both sides
[tex]0.7P = 7[/tex]
Divide both sides by 0.7
[tex]P = 10[/tex]
So 10 pounds will be needed
Solve for x in the following equation:
42x-5=23x+7
O x=-17
O x=-12
O x = 12
Ox=17
Answers
Answer:
x = 17
Step-by-step explanation:
1) Make the bases the same then rewrite.
4 = 2²
2^2(2x - 5) = 2^3x + 7
2) Since the bases are the same, set the exponents equal to each other.
2(2x -5) = 3x + 7
4x - 10 = 3x + 7
4x - 3x = 7 + 10
x = 17
The degree of polynomial, x^4-x^2+2 is
Answers
Answer:
4
Step-by-step explanation:
Justin's box of crayons was full. He gave half the crayons in the box
to Daniel. How much remained in Justin's box?
Answers
Half of the crayon box is left
a rectangular tank has Breath ( x + 3 )and length (x + 5) .write an expression for the area and find the area of the triangle if x = 7
Answers
Step-by-step explanation:
Length = 5 cm and Breadth = 3 cm
Area of a rectangle = length × breadth
=(5×3) cm
2
=15 cm
2
Hence, Area of rectangle with length 5 cm and breadth 3 cm is 15 cm
The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probability that a randomly selected martian, aged 25 and over has completed four years of high school only or is a male. The probability is?
Answers
The probability of picking a martian that has completed 4 years of high school or is a male is 72 / 85.
What is the probability?Probability determines the odds that a random event would happen. The odds of the event happening lie between 0 and 1.
The probability = (total number of people who have finished 4 years of high school / total number of martains) + (total number of males / total number of martains)
58 / 170 + 86/170 = 144 / 170 = 72 / 85
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