Answer: 240 liters
=======================================================
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.
What is the value of X in this equation?
Answer:x = 6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 4/3x from both sides.
Step 3: Subtract 9 from both sides.
Step 4: Divide both sides by -2.
Answer:
x=6
Step-by-step explanation:
-multiply both sides by 3
- subtract 4x
- subtract 27
- combine like terms
- divide by -6
need help on math plz help
Answer:
C=304
Step-by-step explanation:
4cups everyday
elephants eat 74×
its 4×74=304
Answer:
4 x 76 = c; c = 304
Step-by-step explanation:
Hope this helps! :)
Let me know if I'm wrong.
Which best explains why the equation y=2x+3 does or does not represent a proportional relationship?
Answer:
It represents a non-proportional relationship
Step-by-step explanation:
because in order for it to be proportional it has to pass (0,0) but this equation's y-intercept is (0,3).
78 is65% of why number
Answer: 120
Step-by-step explanation:
What is the area of a circle with a radius of 5 cm?
Answer:
area of circle = 78.55 cm²
Step-by-step explanation:
area of circle
= πr²
= 3.142 × 5²
= 3.142 × 25
= 78.55 cm²
Please help me out!
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
Answer:
D
Step-by-step explanation:
This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)
So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer
A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
What is an exponent?Consider the function:
y = a (1 ± r)ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:
f(x) = 197(1.25)ˣ
If the growth of the weed is shown by each day will be given as,
r = 0.25 / 7
r = 0.03
Then the function is given as,
f(x) = 197(1.03)⁷ˣ
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
More about the exponent link is given below.
https://brainly.com/question/5497425
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Hiya! I need help please! Thanks I really appreciate it!
(2 screenshots included)
Answer:
8. the line the vertical
9. y=3/4x-10
Step-by-step explanation:
For number nine, you must find b with the information given if you were to use slope intercept form.
4= 3/4(-8)+b
4= -6+b
-10=6
Now, just plug this number back into the equation.
y= 3/4x-10
HELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
P = (12, 4) and M = (-8, 8)
All of the following represent the same function except _____.
y = x - 1
{(0, 1), (2, 3), (4, 5), (7, 8)}
x y
1 0
3 2
5 4
8 7
Answer: {(0, 1), (2, 3), (4, 5), (7, 8)}
Step-by-step explanation:
For the function: y = x - 1 (y is one less than x)
If x =1 , y= 0
if x= 3 . y= 2
If x = 5 , y= 4
If x= 8 , y= 7
So it is same as
x y
1 0
3 2
5 4
8 7
But different from {(0, 1), (2, 3), (4, 5), (7, 8)} [here x is 1 less than y]
So, the complete statement would be : All of the following represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)} .
What is the y-intercept of y = sinx?
Answer:
The y-intercept is 0
Step-by-step explanation:
Here, we want to get the y-intercept value of y = sin x
From the plot of the graph, we can see that the graph of sin x touches the y-axis at the point y = 0
So therefore, the y-intercept of y = sin x is 0
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58. Which tulle has the better price?
Both tulles have the same price per foot.
The gray tulle has a better price.
The black tulle has a better price.
Answer:
The black tulle has a better price.
Step-by-step explanation:
The black tulle has a better price because its cost is less. Then the correct option is C.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58.
The units rate price of gray tulle will be given as,
⇒ $5.63 / 3
⇒ $1.88 per yard
The units rate price of black tulle will be given as,
⇒ $3.58 / 6
⇒ $0.60 per yard
The black tulle has a better price because its cost is less. Then the correct option is C.
More about the rate link is given below.
https://brainly.com/question/14731228
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56 is 0.4% of what number?
Answer:
140
Step-by-step explanation:
Let the number = x
Hence, the expression can be written has:
0.4 of x = 56
0.4x = 56
Divide both sides by 0.4
0.4x / 0.4 = 56 / 0.4
x = 140
Hence, 56 is 0.4 of 140
(a) The perimeter of a rectangular garden is 314 m.
If the length of the garden is 85 m, what is its width?
(b) The area of a rectangular window is 4800 cm
2
If the width of the window is 64 cm, what is its length?
Answer:72 for the garden and 75 for the window
Step-by-step explanation:
Ffcffgffffggggvgfcgcvggfvv
Answer:
Husfivhuisfhvkusdhvkufadhvkudshfukdahf
Step-by-step explanation:
Find the values of x and y in the equation below.
aby
08
y =
DONEM
Answer:
x=6
y=18
Step-by-step explanation:
I just took the assignment in edg ;)
What is the midpoint of the segment shown below?
10
(-1,5)
O A. (-3.3)
B. (-7,3)
. 10
10
(-6, -2)
O C. (-7, )
O D. (
-3)
10
SUBMIT
Answer: D. (-7/2,3/2)
Step-by-step explanation: (apx)
The midpoint of the segment shown below is option D. (-7/2, 3/2).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given a line segment with the given coordinates for the end points.
Midpoint of a segment with end points (x, y) and (x', y') is,
Midpoint = ((x + x') / 2, (y + y') / 2)
Here the end points of the segment are (-6, -2) and (-1, 5).
Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)
= (-7/2, 3/2)
Hence the mid point of the segment is (-7/2, 3/2).
Learn more about Midpoint of Segments here :
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Heldi is placing an online order at her favorite clothing store. Each shirt that she is ordering costs $12.50. If she must
spend at least $50 In order to get free shipping, how many shirts must she buy to get free shipping.
To graph the solution set of this inequality, draw( open or closed)
circle on the boundary point and shade to the
Either left or right)?? ASAP
Answer:
She has to buy 4 shirts. I'm not sure how to graph this sorry.
Step-by-step explanation:
Does anyone know how to do this!?
I’ll give Brainliest!!!
Step-by-step explanation:
Your going to want to subtract 3/2 from 10 then multiply that number by 20 then simplify and thats your answer
Which ones are linear and nonlinear?
NEED ASAP
RIGHT ANSWER WILL GET MARKED AS BRAINLIEST
Answer:
A D E Are Linear And B C F Are Non Linear.
Step-by-step explanation:
I Had The Same Question And Got This Correct.
6th grade math help me pozzzz
Answer:
t= -9/10= -0.900
Step-by-step explanation:
Team Damon or team Stefan Or team Kai I’m team ✨Damon✨and ✨Kai✨all the way
which ratio is greater 8/15 or 5/9
Answer:
5/9
Step-by-step explanation: If you find a common denominator ( i found 135 ) and you multiply each numerator by the number u multiplied the denominator to get the common denominator, you can see that 5/9 is greater. hope this helps and sorry if that was confusing
Answer:
5/9 is greater
Step-by-step explanation:
As numerator of second ratio is greater, Hence, 5/9 is greater.
What is the ordered pair of point A
What is the ordered pair of point D
What is tye ordered pair of point E
What is the ordered pair of point F
Answer:
A(5,6)
D(-2,-2)
E(3,-4)
F(2,-6)
Answer:
Step-by-step explanation:
A=(5,6)
D=(-2,-2)
E=(3,-4)
F=(2,-6)
To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the day before the sale.The store sells 32,400 folders the first day. How many folders does it have left after the first day?
Answer:
7,850
I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850
what is 3x 2 2/3 x 1/3
Answer:
2.66
Step-by-step explanation:
manteo made the model below to represent the number of miles he swims in the pool each week for exercise
Answer:
What model?
Step-by-step explanation:
Please help I actually need that help ASAP please ASAP ASAP
Answer:
5.87
Step-by-step explanation:
I figured it out. Do 10 x sin (36) to get the answer. I would explain, but it's kinda of hard to in this case.
Help me pls ASAP thank you have a great day!!
Answer:
Dude like I just answered the previous question. Try doing it by yourself. Lol