Answer:
Volume = 36.4 m^3 or 9616.6 gallon
weight = 18025.47 N or 80213.33 lbs
Step-by-step explanation:
The complete question is
A small family home in Tucson, Arizona, has a rooftop area of 1967 square feet, and it is possible to capture rain falling on about 56% of the roof. A typical annual rainfall is about 14 inches. If the family wanted to install a tank to capture the rain for an entire year, without using any of it, what would be the required volume of the tank in m3 and in gallons? How much would the water weigh when the tank was full (in N and in lbf)?
The area of the roof = 1967 ft^2
Area of water to be possibly captured = 56% of 1967 ft^2 = 0.56 x 1967 = 1101.52 ft^2
Rainfall depth = 14 inches = 14/12 ft = 1.167 ft
Volume of water = (area of water) x (depth of water) = 1101.52 ft^2 x 1.167 ft = 1285.47 ft^3
35.315 ft^3 = 1 m^3
1285.47 ft^3 = [tex]x[/tex] m^3
==> 1285.47/35.315 = 36.4 m^3
1 ft^3 = 7.481 gallon
1285.47 ft^3 = [tex]x[/tex] gallon
==> 1285.47 x 7.481 = 9616.6 gallon
Weight of water W = ρv
where ρ is the density of water = 62.4 lbs/ft^3
v is the volume of water = 1285.47 ft^3
substituting values,
W = 62.4 x 1285.47 = 80213.33 lbs
but,
1 lb = 4.45 N
therefore,
80213.33 lbs = 80213.33/4.45 = 18025.47 N
Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X
to Beaker Y, there will be 3/7 as much water in Beaker X as in Beaker Y. IF 100 ml
of water is transferred from Beaker Y to Beaker X, there will be 4 times as much
water in Beaker X as in Beaker Y. How much water is there in Beaker X?
Answer:
140 ml
Step-by-step explanation:
Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.
Then we get following equations:
First part
x - 50 = 3/7(y + 50)7x -350 = 3y + 1507x = 3y + 500Second part
x + 100 = 4(y - 100) x + 100 = 4y - 400x = 4y - 500Substitute x in first equation:
7(4y - 500) = 3y + 50028y - 3500 = 3y + 50028y - 3y = 500 + 350025y = 4000y = 4000/25y = 160 mlThen finding x:
x = 4*160 - 500x = 640 - 500x = 140 mlInitial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml
If a dozen cookies cost $18, what is the cost for 18 cookies
What i did is. First i divided the cost of a dozen. And i took of a dozen of 18 (your cookies) and was left with 6 cookies. i also was left with 9 after dividing so if you add 6+9 so your answer is 15
Answer: For 18 cookies, the cost is 27 dollars.
Step-by-step explanation:
So we are given that:
a dozen cookies cost $18
And we have to find how many 18 cookies cost. We can solve this problem by finding the ratio, or fraction of dollars per cookie or cookie per dollars.
12 cookies 6 2
---------------- = ----------- = ------------- So this means 2 cookies per 3 dollars.
18 dollars 9 3
Now if you increase the numerator by 9 (the numerator is cookies) and you find that there are 18 cookies, then how much money is there to pay?
This can be found by increasing the denom. by 9 as well:
3 x 9 = 27
So then the cost is 27 dollars, and that is how much you have to pay.
Explain how economic forces such as employment, income, prices, interest rates, and consumer confidence influence the purchasing decisions you make as a consumer.
Answer: kindly check explanation
Step-by-step explanation:
As a consumer, a number of factors play a number of factors play a major role and guides my purchasing decision. These factors include :
Employment : Being employed or self employed and being unemployed definitely plays a role in one's income level. An unemployed individual may tend to be more conservative when deciding on what or what not to purchase.
Income : Employment has grades which could be defined based on income level of workers, individuals with higher wages or salaries will tend to boast more financial strength than those with meager income.
Prices : Cost of items may be used to interpret quality product in some cases, hence some individuals may be put off by high cost associated to a product while some may be attracted to them.
Interest rate: Interest rates are often unstable and as such may guide an individual's investment plan, by holding on when interest falls and financing when it rises.
Consumer confidence : The contentment individuals derive from using a product may be nurtured through previous experience and hence either builds consumer confidence in a certain brand or a loss or decline in confidence over such product.
what is the answer to -1/8-2/7
Answer:
-23/56
Step-by-step explanation:
-1/8-2/7
= -7+8×-2
----------------
8×7
=-7-16/56
=-23/56
BTW. . This method is called the butterfly method.. in which we must cross multiply the numerators and denominators.. and multiply the denominator together (if they are co-primes) to get the LCM in the denominator of the sum..
Klay's lunch cost $6. This is $2 less than Ella's lunch cost. How much did
Ella's lunch cost? Select the correct solution method below, using x to
represent the cost of Ella's lunch.
Answer:
$4x
Step-by-step explanation:
$6 - $2 = $4
$4x
Answer:
X=6+2
Step-by-step explanation:
What is the answer to this problem (5x- 10) - 9
HELPPPPP MEEEEE I WIIILLLLL GIVVVEEE BBRRRAIINNNNNLLLLIEEESTTTT!!!!! I pay $2.25 per gallon of gasIf I get a drink they take $.50 per gallon . What is my cost if I get 10 gallons of gas?
Answer:
$17
Step-by-step explanation:
10 x 2.25 = 22.5
10 x .50 = 5
22.5 -5 = 17
I think this is correct. Sorry if it isn't though!!!!!!
1.5
Is this number rational or irrational
Answer:
Rational.
Step-by-step explanation:
Many floating point numbers are also rational numbers since they can be expressed as fractions. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.
Given x=-3, y=6, and z=-4 22-3y+4x=
Answer: -8
Explanation: It's a good idea to get into the habit of using parenthses
when substituting numbers in for variables.
Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).
3(6) is 18 so we have 22 - 18 + 4(-3).
4(-3) is - 12 so we have 22 - 18 + -12.
Now, 22 - 18 is 4 and 4 + -12 is -8.
Answer:
-8
Step-by-step explanation:
Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $1140?
A. 12
B. 4
C. 2
D. 14
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(4))?
Answer:
-7
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(4)).
So, find g(4) first:
[tex]g(x)=-3x+5\\g(4)=-3(4)+5[/tex]
Multiply:
[tex]g(4)=-12+5[/tex]
Add:
[tex]g(4)=-7[/tex]
Now, substitute:
[tex]f(g(4))=f(-7)[/tex]
Use the equation from f(x):
[tex]f(x)=2x+7\\f(-7)=2(-7)+7[/tex]
Multiply:
[tex]f(-7)=-14+7[/tex]
Add:
[tex]f(-7)=-7[/tex]
So:
[tex]f(-7)=f(g(4))=-7[/tex]
And that's our answer :)
I’m confused how do you simplify 25-9
Answer:
do you mean subtract?
Step-by-step explanation:
someone answer this for me please ..
Answer: 9 times as large
Step-by-step explanation:
the original area: 15×15=225
the new area: (15×3)(15×3)=2025
2025/225=9
Hope this helps!! :)
Please let me know if you have any question
Expand (3+√5)(2+√5)
Give your answer in the form a+b√5 where a and b are integers.
Answer:
11 + 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Note that [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5
Given
(3 + [tex]\sqrt{5}[/tex] )(2 + [tex]\sqrt{5}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + [tex]\sqrt{5}[/tex] ) + [tex]\sqrt{5}[/tex](2 + [tex]\sqrt{5}[/tex] ) ← distribute both parenthesis
= 6 + 3[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] + 5 ← collect like terms
= 11 + 5[tex]\sqrt{5}[/tex] ← in the form a + b[tex]\sqrt{5}[/tex]
with a = 11 and b = 5
5x + 4x - x
9x
Explain mistake:
Correct answer:
2(x + 5)
2x + 5
Explain mistake:
Correct answer:
5 - (x - 2)
5 - x - 2
3 - x
Explain mistake:
Correct answer:
-3(2x - 5)
-6x - 15
Explain mistake:
Correct answer:
2x + 3 + 4x
9x
Explain mistake:
Correct answer:
x + 3x + 6x
[tex]10x {}^{2} [/tex]
Explain mistake:
Correct answer:
plz help ASAP!!! WILL MARK U BRAINLIEST IF CORRECT
Answer:
I think it is A.
Step-by-step explanation:
If the length is increased by 5 feet the area of the resulting rectangle is 60 square feet.what is the area of the original rectangle
Answer: No because my teacher told me so
Step-by-step explanation: A
Can you trace this figure without
lifting your pencil from the paper
and without retracing any line?
Trace through your answers to
the exercises in the order they
are given.
7/15 in decimal form
Answer:
0.46666666666667
Step-by-step explanation:
You could use long division, and see that 7/15 = 0.46666666667.
On the Venn diagram, which would be classified as an IRRATIONAL number?
Answer:
The correct answer is B. 2π
Step-by-step explanation:
A rational number is one that can be represented using a fraction and an irrational number cannot be represented using a fraction.
-√4 = -2, which is a rational number
2π is not a rational number (we cannot express pi as a fraction exactly even though there are some close approximations)
2.2121... is also a rational number because it can be expressed as a fraction (21/99, or 7/33 simplified)
√225 is 15, which is a rational number
Therefore, the only irrational option is option B. 2π, which is your answer.
Hope this helps!
5x + 3 = 7x – 1. sove for x,
Answer:
x = 2
Step-by-step explanation:
[tex]5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2[/tex]
Help needed ASAP will give brainliest
Answer:
I guess the answer is going to be 9/5
What’s the area of a square with the vertices (3,3),(6,6),(9,3), and (6,0)
Answer:
I believe the area of a square with those vertices is 16 units
please answer this question with explanation
The value below lies between which two integers on a number line.
-V57
А.
-7 and -8
B.
7 and 8
С
56 and 58
D
-56 and -58
Help fast
Answer:
2(29D-28adn-29)
Step-by-step explanation:
How many solutions does the equation 4y − 4y − 12 = 14 − 2 have?
Answer:
NONE
Step-by-step explanation:
4Y-4Y-12=14-2
LETS ADD AND SUBTRACT
-12=12
WHICH ISNT TRU!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
None
Step-by-step explanation:
The equation states after simplifying that -12 = 12 which is not a true statement.
Compare 3.7777 and 3.77. Use the inequality symbols < and > to write two inequality
statements using the given numbers that are true.
Answer:
3.7777 > 3.77 or 3.77 < 3.7777
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?
Answer:
26 m and 20 m
Step-by-step explanation:
Let the length of the room be l, the breadth be b and perimeter be P.
Given:
P/2 = 46 ml = b + 6 mSolutionSince P = 2(l + b), P/2 = l +b, we have following equations:
l + b = 46l = b + 6Substituting l in first equation:
b + 6 + b = 462b + 6 = 462b = 40b = 20 mThen the length is:
l = b + 6 = 20 + 6 = 26 mPlease show all work and not just the answers.
Answer:
√113
Step-by-step explanation:
As per distance formula:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Points are:
A(-4, -3) and B(3,5)So the distance:
d = [tex]\sqrt{(3+4)^2 + (5+3)^2}[/tex] = [tex]\sqrt{7^2 + 8^2}[/tex] = [tex]\sqrt{49+64} = \sqrt{113}[/tex]Answer is √113
Answer:
√113
Step-by-step explanation:
B(3,5) , A(-4,-3)
distance between 2 points : d
d=√(x2-x1)²+(y2-y1)²
d=√(3-(-4)²+(5-(-3)²
d=√7²+8²
d=√49+64
d=√113
Could you explain to me how I'm supposed to solve this and all the steps?
Answer:
98 degrees
Step-by-step explanation:
The total sum of the angles of a pentagon is 540 degrees and the sum of the four given angles is 442 degrees. So, the answer is 540 - 442 = 98