A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 3 ft and a radius of 7 ft. The tank will bemade from metal (including its top and bottom). Suppose the total cost of the metal will be $14,946.40. How much will the metal cost per square foot? Use 3.14for π, and do not round your answer.
Answers
Solution
Step 1:
Since the metal included both the top and the bottom, hence you will need to find the total surface area of the cylinder.
Step 2
Given data
r = 7ft
h = 3ft
Step 3
\(\begin{gathered} Total\text{ surface area = 2}\pi r^2\text{ + 2}\pi rh \\ =\text{ 2}\times\text{3.14}\times7^2\text{ + 2}\times3.14\times7\times3 \\ =\text{ 307.72 + 131.88} \\ =\text{ 439.6 ft}^2 \end{gathered}\)Step 4 :
Divide the total cost by the total surface area to find how much will the metal cost per square foot.
\(\begin{gathered} =\text{ }\frac{14946.40}{439.6} \\ =\text{ \$34/ft}^2\text{ } \end{gathered}\)Final answer
It cost $34 per square foot.
Related Questions
Translate and solve 286.02 is what percent of 454
Answers
Answer:
63%
Step-by-step explanation
286.02/454 = (both top and bottom times 100) 28602/45400. Top divided by 454= 63/100, which is 63 percent
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answers
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
what is the area of the triangle?
Answers
hope you have a good day
What is the answer 3 1/4 + 2 1/8 +2 7/8+1 3/4+1 3/4 +? Show the work
Answers
The value of the fractions is 10
What is a fraction?
A fraction is described as the part of a whole.
The different types of fractions are;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsGiven the fractions;
3 1/4 + 2 1/8 +2 7/8+1 3/4
convert to improper fractions, we have;
13/4 + 17/8 + 23/8 + 7/4
Find the LCM
26 + 17 + 23 + 14 /8
Find the values
80/8
divide the values
10
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Plz help me on this one.
Answers
Answer: 2
Step-by-step explanation:
Answer:
To find the value of x, add 5 to each side.
x - 5 = 13
+5 +5
x = 18
:)
The first bag contains 4 green balls and 4 yellow balls. The second bag contains tiles numbered 1 through 5. What is the probability that she draws a green ball and a tile numbered 4?
Answers
Answer:P(green AND 4)
= P(green) × P(4)
= (4/8) × (1/5)
Answer:
It is 0.1
Step-by-step explanation:
Because 4/8 times 1/5 = 4/40 which in decimal form equals 0.1
It is 4/40 or 0.1 one of them is in fraction and the other is in decimal form.
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answers
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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complete the table y=x
Answers
The complete table of values of the linear equation is
x | y
0 | 0
1 | 1
2 | 2
3 | 3
How to make a table of values for the following equation?The linear equation of the function is given as
y = x
To complete the table, we assume values for x and then calculate the y values
So, we use the following values
x = 0, 1, 2, 3
Next, we substitute x = 0, 1, 2, 3 in the equation y = x
So, we have:
When x = 0
y = 0
When x = 1
y = 1
When x = 2
y = 2
When x = 3
y = 3
So, the complete table of values is
x | y
0 | 0
1 | 1
2 | 2
3 | 3
When represented as ordered pairs, we have
(x, y) = (0, 0), (1, 1), (2, 2) and (3, 3)
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Find what percent 768 is of 3,200.
Answers
Answer:
3200 of 768 is 416.67%
Step-by-step explanation:
There's your answer hope this helps.
X% ————— 768
X= 24%
4. Rahim and Kok Wah cycled from their flats in Clementi to Bukit Timah Nature Reserve at 18 km/h and 15 km/h respectively. They both started from Clementi at 12:40. If Rahim reached the Nature Reserve at 13:10, what time did Kok Wah arrive at the Nature reserve
Answers
Answer: the answer is 1:16
3 tins of beans and 4 tins of tomatoes cost 2.73. 5 tins of beans cost 1.55. how much is one tin of tomatoes?
Answers
Answer:
$0.45
Step-by-step explanation:
1 tin of beans-> $1.55÷3=$0.31
3 tins of beans-> $0.31×3=$0.93
4 tins of tomatoes-> $2.73-$0.93=$1.80
1 tin of tomatoes->$1.80÷4=$0.45
Answer:
The price of one tomatoes is 0.45
solve for rational algebraic equation.
Answers
Step-by-step explanation:
Taking the provided equation ,
\(\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} \)
1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)
\(\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} \)
2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .
\(\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)\)
3) Multiplying the expressions.
\( \implies 5(3x^2+13x+2) = 40x + 120 \)
4) Opening the brackets .
\(\implies 15x^2+ 65x + 10 = 40x + 120 \)
5) Transposing all terms to Left Hand Side .
\(\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0\)
6) Solving the quadratic equation .
\(\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}\)
Answer:
\(x=2\\x=-\frac{11}{3}\)
Step-by-step explanation:
Solve the rational equation:
\(\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}\)
To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):
\(\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}\)
Operate and simplify:
\(\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)\)
\(\displaystyle 3x^2+4x+9x+12-10=8x+24\)
Rearranging:
\(\displaystyle 3x^2+4x+9x+12-10-8x-24=0\)
Simplifying:
\(\displaystyle 3x^2+5x-22=0\)
Rewrite:
\(\displaystyle 3x^2-6x+11x-22=0\)
Factoring:
\(\displaystyle 3x(x-2)+11(x-2)=0\)
\(\displaystyle (x-2)(3x+11)=0\)
Solving:
\(x=2\\x=-\frac{11}{3}\)
A geologist wants to determine the distance across the widest part of a nearby lake. The geologist marked off specific points around the lake so that the line containing segment DE would be parallel to the line containing BC. The segment BC is selected specifically because it is the widest part of the lake. The segment DE is selected specifically because it is a short enough distance to easily measure. Use this diagram to answer the following questions.
1. Is ADE similar to ABC'? How do you know? *
Yes. All three sides are proportional.
Yes. Two or more angles are equivalent.
No. Side lengths are not proportional.
There is insufficient information to determine similarity.
2. If ADE is similar to ABC, and |AD| = 1,200 ft and |AB| = 3,600 ft, what is the length of segment BC?
2,700 ft
1,600 ft
2,100 ft
2,400 ft
3. If ABC is similar to ADE what is the length of segment AC? *
5 points
2,000 ft
3,000 ft
2,400 ft
2,800 ft
Answers
Answer:
1. Yes. Two or more angles are equivalent
2. 2700 ft
3. 3000 ft
Step-by-step explanation:
1.
∠EAD = ∠CAB (same angle)
∠AED = ∠ACB (because AC is a straight line and ED and CB are parallel)
2.
1200:3600
1:3
This means that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. ED corresponds to CB, so:
900 x 3 = 2700
3.
We know that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. AE corresponds to AC, so:
1000 x 3 = 3000
Tiana final number if her starting number is 23
Answers
Answer:
there is no context at all
Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12% rate compounded quarterly, and Four Rivers offers 14% compounded semiannually. Jane has $40,000 to invest and expects to withdraw the money at the end of five years. The better deal is:
Multiple Choice
Four Rivers because she will earn about $6,442 more.
Four Rivers because she will earn about $6,523 more.
Four Rivers because she will earn about $4,000 more.
Four Rivers because she will earn about $20,000 more.
Answers
Answer:
The answer is option (C). Four Rivers Bank
Explanation:
a). The total amount Jane will receive after 5 years after investing $40,000 in the Mystic Bank can be expressed as follows;
A = P (1 + r/n) (nt)
where;
A = the future value of the initial investment
P = initial investment amount/principal amount
r = the annual interest rate
n = the number of times that interest is compounded per unit t
t = the time the money is invested for
In our case;
P=$40,000
r=12/100=0.12
n=interest is compounded quarterly which is four times a year=4
t=5 years
Replacing values in the formula;
A=40,000(1+0.12/4)^(4×5)
A=40,000(1+0.03)^20
A=40,000×1.806
A=72,244.45
The total amount Jane will receive after 5 years if she chooses to invest with the Mystic Bank is $72,244.45
b). The total amount Jane will receive after 5 years after investing $40,000 in the Four Rivers Bank can be expressed as follows;
A = P (1 + r/n) (nt)
where;
P=$40,000
r=14/100=0.14
n=interest is compounded semiannually which is two times a year=2
t=5 years
Replacing values in the formula;
A=40,000(1+0.14/2)^(2×5)
A=40,000(1+0.07)^10
A=40,000×1.967
A=78,686.05
The total amount Jane will receive after 5 years if she chooses to invest with the Four Rivers Bank is $78,686.05
c). The best deal would be to invest with Four Rivers Bank for 5 years since the total amount Jane will receive after 5 years will be $78,686.05 which is greater than $72,244.45, which is the total amount she will receive if she chooses to invest with Mystic Bank
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y-9x=-6
Answers
Answer: y=3x-2
Step-by-step explanation:
3y-9x=-6
First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.
Answer:
This equation in slope intercept form would be y = 3x - 2
Step-by-step explanation:
The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3
So the answer is y = 3x - 2
Assuming that 6 in 10 automobile accidents are due mainly to a speed violation, find the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation (a) by using the formula for the binomial distribution; (b) by using Table A.1.
Answers
Answer:
A ) 0.2090 B) .2090
Step-by-step explanation:
∙Let random variable XX represent the number of accidents due to speed violation among 8 automobile accidents.
Lets consider it success if an accident is due to speed violation.
-Probability of a success in each trial is p = 6/10 = 0.6
-Because the trials are independent, XX has a binomial distribution with parameters n = 8n=8 and p = 0.60p=0.60
The probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation.
In everyday life, risk modeling and assessment involve the use of probability theory. Actuarial science is used by the insurance sector and markets to set pricing and decide which securities to trade. Environmental regulation, entitlement analysis, and financial regulation are all areas where governments use probabilistic methods.
Probability =favorable outcome/ total outcome
Probability = 6/8
Probability =0.75
Thus, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.
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Please help!!!!!! I will make you brainly!!!!!!!!!!!!
Answers
Answer:
The last option
Step-by-step explanation:
Trust me, I know it is correct
(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km
Answers
Answer:
(3)
Distance the train can travel=252km
Distance the train can travel in 1 hour=252÷42=6km
The time needed to cover 350km= 350÷6=58.4 hours.
(4)
The cost of 1 articles=$1.95
The cost of 15 articles= 15(1.95)=$29.25
(5)
Cost of 25 articles= 43.75
Cost of 1 article= 43.75/25=1.75
(6)
Liters of petrol needed when a car travels 240km=20litre
liters of petrol needed when a car travels 600km= 20/240 x600
20/24x60
20/4x10
5x10=50liter
The equation 4x-45=y is used to find your profit y in dollars from buying $45 of supplies and washing cars for $4 what does the x stand for
Answers
9 ⋅ (-.5) what is the answer
Answers
Answer:
-45
Step-by-step explanation:
9x5=45, and since there is a negative, you put it before 45.
Hope I helped!
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Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
Answers
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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WILLL MARK BRAINLIEST IF GOTTEN RIGHT!!!! (CARIRDE)))) HELP GIRL!
Answers
Answer:
55°
Step-by-step explanation:
Let the centre of the circle be C
mFG=110 (It's hard to read but I assume thats what the 110 marks)
mFG=<FCG=110
Consider ΔFCG (an isosceles triangle since CF=CG=radius). Angles in a triangle add to 180 and <CFG=<CGF so <CFG=(1/2)(180-110)=(1/2)(70)=35°
<EFG+<CFG=90
<EFG+35=90
<EFG=55°
2. Troy had 3/8 of a pizza left over from his party. He ate 3/4 of the leftover pizza for breakfast. How much of the
whole pizza did Troy have at breakfast?
3. 3/5 of a bag of coffee weighs 6/7 pound. How much does a whole bag of coffee weigh?
Answers
The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds
A fraction is defined as a part of a whole quantity.
1. Leftover pizza = 3/8
Pizza used as breakfast = 3/4 of left-over pizza
= 3/4 of 3/8
The of is calculated by the use of multiplication
The fractions are multiplied as follows:
The numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Pizza used as breakfast = 3/4 * 3/8
= 3 * 3 / 4 * 8
= 9/32
2. 3/5 of bag of coffee weighs = 6/7 pounds
1 bag of coffee weighs = 6/7 ÷ 3/5
The fractions are divided as follows:
The fraction to be divided is reciprocatedThe numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Thus, = 6/7 * 5/3
= 6 * 5 / 7 * 3
= 30/21
= 10/7 pounds
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solve for x in the equation x2+6x-6=10
Answers
Answer:
Step-by-step explanation:
\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)
Answer:
X = 2 and X = -8
Step-by-step explanation:
X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10
X2 + 6X -16 =0
here we need to find if there are two numbers there sum is +6 and there product is -16.
here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8
-2+8= +6
-2*8= -16
( X - 2 ) * ( X + 8 ) =0
X - 2 = 0 ...... when -2 pass equality sign it will become+2
X = 2
X + 8 =0 ..... when +8 pass equality sign it will become -8
X = -8
oh god please help I have no idea what this is
Answers
Answer:
1. 10/7, 2/1, 1,5
2. 5/8 * 3/2
Step-by-step explanation:
(:
Answer:
Which part exactly.. Or which number exactly
What is 5% as a fraction?
Answers
Answer:
The answer would be 5/100 or 1/20 in it's simplest form
Step-by-step explanation:
So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.
Ignore the messy writing, i was in a hurry.
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided to submit your solution.
(3,1) and (-2,3)
Answers
The equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
We have two points:
(3,1) and (-2,3)
The equation of the line passing through the points (3,1) and (-2,3)
\(\rm (y - 3) = \dfrac{3-1}{-2-3}(x+2)\)
\(\rm (y - 3) = -\dfrac{2}{5}(x+2)\)
5y - 15 = -2x - 4
2x + 5y = 11
Thus, the equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)
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jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Answers
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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-0.4 K - 6 equals 1.2. Answer pls
Answers
Answer:
K = -18
Step-by-step explanation:
-0.4K - 6 = 1.2
Isolate the variable and solve to get K = -18