Answer: 240 liters
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Work Shown:
x = capacity of barrel in liters
This value of x is some positive real number. It represents the most amount of water the barrel can hold.
The problem states that the barrel is 2/3 full to start with. This means, we start off with (2/3)x liters of water. Then we subtract off 60 of them to get to 5/12 full, meaning we have (5/12)x liters left.
We can form this equation
(2/3)x - 60 = (5/12)x
Multiply both sides by 12 to clear out the fractions
(2/3)x - 60 = (5/12)x
12*( (2/3)x - 60 ) = 12*(5/12)x
12*(2/3)x - 12*60 = 12*(5/12)x
8x - 720 = 5x
From here we solve for x
8x - 5x = 720
3x = 720
x = 720/3
x = 240
The barrel's full capacity is 240 liters
--------------------------
Check:
2/3 of 240 = (2/3)*240 = 160
The barrel starts off with 160 liters of water inside.
We then use 60 of them to be left with 160-60 = 100 liters
Note how 100/240 = (5*20)/(12*20) = 5/12, showing that 100 liters out of 240 total reduces to the fraction 5/12. In other words, when we say "5/12 full" we mean 100 liters full. This helps confirm we have the right answer.
Find the angle with the smallest measure in △ VUW. Name the angle using three letters
Answer:
∠VUW
Step-by-step explanation:
A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.
In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.
The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.
Hence the smallest angle = ∠VUW
Elise says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 33." What is Elise's number?
Elise's number is 29.
If you think of multiplying a value by -3 to get -33, it would obviously be 11.
So in this case, you would want to add 18 to 11 to get Elise's number, which is 29. Subtracting 18 from 29 would get you back to the value of 11, which you can then multiply it by -3 again to get -33.
(1 1/8 + 1/8) - 5/4
A -1
B 0
C 5/8
D 4/5
9514 1404 393
Answer:
B 0
Step-by-step explanation:
Converting all of the fractions to eighths, we have ...
(9/8 +1/8) -10/8
= 10/8 -10/8
= 0
Answer: 0
Step-by-step explanation:
Find the value of X. 87° 92° 105 135
Answer:
121°
Step-by-step explanation:
Sum of angles in a pentagon = ( n-2) 180
(5-2)180
=3x180
=540°
X+87+92+105+135=540
X+419=540
X=540-419
X=121°
kristy had two brothers and 2 sister the little sister name kylie was 8 years old the big sister name kaylie is 12 years old the big brother name jay lay is 13 years old the little brother is 10 years old but they mom let hem buy what ever they wanted she gave each 10$ and 9 cents how many money did she paid
Answer:
Ahhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Thx fa free points susta
The slope of the graph of y = 5x is _____ .
Answer:
5
Step-by-step explanation:
(use the site M a t h w a y)
Answer:
5
Step-by-step explanation:
1.) Which of the following is closest to 1?
A.
B.
9
10
C.
D. 98%
99
E.
100
8
Answer:
Step-by-step explanation:
98% it is the only percent and it is close to one
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
please help me I don't get it
Answer:
5
Step-by-step explanation:
1/6 X 6 = 1 X 5 = 5
6 X 5 = 30
The Correct Answer is 5
What is the Area of this irregular shape?dfgju i
Answer:
The area of the irregular shape is 20 square cm
Step-by-step explanation:
Area of an Irregular Shape
Some shapes do not have regular shapes like squares, circles, triangles, etc. where well-known formulas can be applied to calculate their areas.
We have to calculate the area of the shape provided in the figure. We have divided the shape into three rectangles (see figure below). The total area of the irregular shape is:
A = A1 + A2 + A3
The first rectangle has dimensions 2 cm by 1 cm, thus its area is:
A1 = 1 cm * 2 cm = 2 square cm
The second rectangle has dimensions 2 cm by 3 cm, thus its area is:
A2 = 2 cm * 3 cm = 6 square cm
The third rectangle has dimensions 3 cm by 4 cm, thus its area is:
A3 = 3 cm * 4 cm = 12 square cm
The total area is:
A = 2 square cm + 6 square cm + 12 square cm = 20 square cm
The area of the irregular shape is 20 square cm
How many 2/5 s are there in 4?
Answer:
there are ten (10) 2/5 in 4 .
There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. How
many cans of tennis balls did Coach buy? Which equation models this problem?
Answer:
Step-by-step explanation:
27÷3=9
The couch bought 9 cans of tennis ball.
What is division?One type of operation is division in mathematics. In this procedure, the expressions or numbers are divided into the same number of components.
Given, there are 3 tennis balls in each can.
And couch bought 27 tennis balls.
To find the number of cans:
Take the division of Total number of balls to balls in one can.
That means the number of cans for 27 tennis balls,
= 27 / 3
= 9
Therefore, the 9 cans the couch bought.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
ayo I need some more help lol sorry!!!
Answer:
B,C, and D.
Step-by-step explanation:
sorry it took forever to get a response
PLZZZZZ HELPPP ME WITH THISS!!!!!
done...
................
Simplify i give brainlest
Answer:
56/6 or 9.33
Step-by-step explanation:
8x5 -4^2/
2x3
40 - 4^2/
2x3
40 + 16/
6
56/6 or 9.33
The answer is 4 because when simplifying the top of the fraction it equals to 24 and the bottom is 6 so when dividing it equals 4.
for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made 282. jake sold 17 bags of popcorn and 20 candy bars and made 160.50. what was the cost of a bag of popcorn
Answer:
$6.50 per bag of popcorn
Step-by-step explanation:
let a bag of popcorn be represented by p and a candy bar be b
28p + 40b = $282
17p + 20b = $160.50
this is an example of simultaneous equations
so you have to double the second equation to give 34p + 40b = $321
subtract the equations to give one -- > 6p = $39
divide $39 by 6 to give the value of one bag of popcorn = $6.50
A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?
Answer:
$60
Step-by-step explanation:
i-ready
Use the Distributive Property to rewrite the expression in factored form.
5x - 10
16p + 24c + 32w
I used all my points please help
I need help plz "I suck at math"
Answer:
Step-by-step explanation:
number 2: the one that says opposite
Solve for y
4x + 4y = -36
uhhhh the answer is -9 I think
what is the slope line segment between A(10,5) and B (13,-1
Answer:
-2
Step-by-step explanation:
using the slope formula with these two points gives me a slope of -2. Hope that helps!
Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy
Answer:
9 cd's
Step-by-step explanation:
How many 3/4 are in 8?
Answer:
6, i think
Step-by-step explanation:
Answer:
2
3/4 + 3/4= 6/4 which goes into 8 twice
Which number is equivalent to 3^4}{3^{2
Answer:
i get 81 correct me if im wrong
Step-by-step explanation:
3^4 / 3^2
=3^4-2
=3^2
=9
Sandy charges each family that she babysits for a flat fee of $10 for the night and $5 extra per
child. Sandy made a total of 30 dollars. Write an equation to represent the number of children
that Sandy watched.
i need help plz.
i think its 6.6ft what do u guys think?
Answer: 6.6ft
Step-by-step explanation:
A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?
Answer:
30% increase
Step-by-step explanation:
First, find the difference between the prices:
156,000 - 120,000
= 36,000
Then, find what percent this is of the original price:
36,000/120,000
= 0.3
So, the percent increase is 30%
Alright here is another question
Answer:
1/2bh, bh, s²
Step-by-step explanation:
Base x Height = area of rectangle/square, so half it (to get the triangle)
Base x Height = Area of rectangle
And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)
Pls help asap, will do brainlest
Answer:
i got 2730 hope its right
Step-by-step explanation:
Ryan drinks liters of water every of an hour at a constant rate.
How many liters of water does he drink in 3 hours?