On first day the tank had 8000 liters of water.
Half is removed so half of 8000 is 4000.
Subtracting 8000-4000 =4000
So at the end of first day 4000 liters of water is there.
Water in the tank at the end of second day:
Again half of 4000 is removed.
half of 4000 is 2000.
subtracting 4000-2000 =2000.
At the end of second day 2000 l of water is present in tank.
At the end of third day:
Again half of 2000 is removed.
half of 2000 is 1000.
subtracting 2000-1000 =1000.
At the end of third day 1000 l of water is present in tank.
At the end of fourth day:
Again half of 1000 is removed.
half of 1000 is 500.
subtracting 1000-500 =500.
At the end of fourth day 500 l of water is present in tank.
At the end of fifth day:
Again half of 500 is removed.
half of 500 is 250.
subtracting 500-250=250.
At the end of fifth day 250 l of water is present in tank.
At the end of sixth day:
Again half of 250 is removed.
half of 250 is 125.
subtracting 250 - 125 =125.
At the end of sixth day 125 l of water is present in tank.
At the end of seventh day:
Again half of 125 is removed.
half of 125 is 62.5.
subtracting 125-62.5 =62.5.
At the end of seventh day 62.5 l of water is present in tank.
At the end of eighth day:
Again half of 62.5 is removed.
half of 62.5 is 31.25
subtracting 62.5 - 31.25 =31.25.
At the end of eighth day 31.25 l of water is present in tank.
in a packet of skittles,27% are red and 14% are blue. What percentage are not red?
Kim paycheck was 257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills.How much money does she have remaining from her paycheck
Choose the correct simplification of the expression a^7b^8/a^4b^4
A: a^11b^12
B: a^3b^4
C: 1/a^3b^4
D: 1/a^3b^2
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 110 ton of sand to the mixture in 45 minute. Enter a number in each box to complete the statements. Write the ratio that compares 110 ton of sand to 45 minute. The ratio in ton(s) per minute(s) is $$ .
Walt received a package that is 2 1/3 inches long, 6 3/4 inches high, and 8 1/2 inches wide. What is the surface area of the package?
Answer : The surface area of the package is, [tex]185.9inch^3[/tex]
Step-by-step explanation :
The given package is in cuboid shape. Now we have to calculate the surface area of the package by using volume of cuboid.
Formula used for volume of cuboid is:
[tex]V=2(lb+bh+hl)[/tex]
where,
V = volume of package
l = length of package = [tex]2\frac{1}{3}inch=\frac{7}{3}inch[/tex]
b = width of package = [tex]8\frac{1}{2}inch=\frac{17}{2}inch[/tex]
h = height of package = [tex]6\frac{3}{4}inch=\frac{27}{4}inch[/tex]
Now put all the given values in the above formula, we get:
[tex]V=2\times [(\frac{7}{3}\times \frac{17}{2})+(\frac{17}{2}\times \frac{27}{4})+(\frac{27}{4}\times \frac{7}{3})][/tex]
[tex]V=2\times [\frac{119}{6}+\frac{459}{8}+\frac{63}{4}][/tex]
[tex]V=185.9inch^3[/tex]
Therefore, the surface area of the package is, [tex]185.9inch^3[/tex]
What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
Answer:
27.1
Step-by-step explanation:
hope it helps!
simplify the radical expression square root of 64y^10h^5/16y^12h^5
After the simplification of the given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].
What is radical expression?
A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.
The term underneath the radical symbol is called the radicand.
How to solve radical expression?To solve a radical expression, simply take the the square root of the radicand.
According to the given question, we have a radical expression
[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]
=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])
= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]
= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]
= [tex]\frac{2}{y}[/tex]
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This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.
Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she have?
She can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.
Deb possesses 3/4 of a brownie and intends to partition it into smaller portions, each equivalent to 1/8 of a brownie, allowing her to savor it throughout the day.
To determine the number of 1/8 portions she'll obtain, we can perform a simple division.
By dividing 3/4 by 1/8, we essentially multiply the numerator of 3/4 by the reciprocal of 1/8, which is 8/1.
This multiplication yields (3 * 8) / (4 * 1) = 24/4.
Simplifying further, we find that Deb will have 6 portions of 1/8 of a brownie.
Consequently, she can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.
for such more question on equivalent
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Question
Deb has 3/4 of a brownie. She wants to divide it up into 1/8 of a brownie so she can have it throughout the day. How many 1/8s will she have's will she have?
The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?
27/40 miles long was the bus ride.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
The store is 7⁄8 of a mile away from your house.
Distance covered by Walking = 1/5
and, the rest is covered by Bus.
So, the distance covered by Bus
= 7/8- 1/5
= 35/ 40- 8/40
= 27/40
Hence, 27/40 miles covered by Bus.
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help!!!!!!!! plz I need your help
If James can swim 10 laps in 23 minutes, what would be his expected time for 15 laps?
PLEASE HELP ME SOLVE WILL MARK AS BRAINLIEST IF ANSWERED CORRECTLY AMND SERIOUSLY
k/2+1-1k=-2k
A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?
What scale factor was applied to the first rectangle to get the result image?
Answer:
Step-by-step explanation: Add pic so ppl can help
sally purchased a rectangular table for her drawing room. The sides of the table are 24 inches and 18 inches. What is the diagonal length of the table?
HELP FOR BRAINLIEST
What is the solution set?
3.3x−11.6>18.1
Enter your answer in the box.
Please answer fast thanks!
The solution set is (9, ∞).
To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.
First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.
Then, we can divide both sides by 3.3 to solve for x: x>9.
We can express the solution set using interval notation as (9, ∞).
Therefore, The solution set is (9, ∞).
The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.
To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:
1. Add 11.6 to both sides to isolate the term with x:
3.3x - 11.6 + 11.6 > 18.1 + 11.6
3.3x > 29.7
2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:
[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]
[tex]\[ x > \frac{29.7}{3.3} \][/tex]
x > 9
So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.
Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?
You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?
If the area of a circle is 12.56 square centimeters,then what is the radius
A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?
Answer:
$6,765.35.Step-by-step explanation:
Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula
[tex]A=A_{0}(1-r)^{t}[/tex]
Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.
Replacing all values, we have
[tex]A=20300(1-0.0875)^{12}[/tex]
[tex]A=6765.35[/tex]
Therefore, after 12 years the car will value $6,765.35.
if the least value the variable k can be is 12,which of the following inequalities best shows all the possible values of k
Answer:
Its K ≥ 12
Step-by-step explanation:
Hope this helps! Have a good day!:) and happy St. Patrick's day lol
I'm confused about this question, can someone help me
What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²
Simplify the expression. 5x + 1 - 18
Can u guys help me with the visual question please
Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.
A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power
Answer:
g3h
Step-by-step explanation:
I got it right
Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is s4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?
General Idea:
When we are working with word problems, we need to follow the below steps:
Step 1: Assign variable for the unknown that we need to find.
Step 2: Write a meaningful mathematical equation using the sentence given
Step 3: Solve the equation by Performing reverse operation by Undoing whatever is done to the variable. Solving means find the value of the variable which will make the equation TRUE.
Applying the concept:
Step 1: Let x be the number of books that Brett can afford without spending more than his gift voucher amount.
Step 2: Writing mathematical equation based on the given sentence "Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2"
[tex] Online \; Gift \; Voucher=Number \; of \; books \; \times \; Cost\;per \; Book \; + \; Single \; shipping \; charge [/tex]
[tex] 30=4x+2 [/tex]
Step 3: Solving equation
[tex] 4x+2=30\\ Subtract \; 2 \; on \; both \; sides\\ \\ 4x+2-2=30-2\\ Combine \; like \; terms\\ \\ 4x=28\\ Divide \; 4 \; on \; both \; sides\\ \\ \frac{4x}{4}= \frac{28}{4} \\ Simplifying \; fraction \; on \; both \; sides\\ \\ x=7 [/tex]
Conclusion:
The number of books that Brett can afford without spending more than his gift voucher amount is 7 !!
A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?