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.
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP
Answer:
8 kilometers
Step-by-step explanation:
Since 5 is half of 10, then do 16/2 to find how many kilometers.
Answer:
8
Step-by-step explanation:
16 kilometres in 10 miles (divide by 10 to find 1)
1.6km 1 mile
8(times1.6 by 5) 5 miles
please mark as brainliest!!!
Fin in the table to convert the units of measure from milliliters to liters or liters to milliliters.
Milliliters. Liters
1
9
1,000
350
1 millilitre = 0.001 litre
1 litre = 1000 millilitres
9 millilitres = 0.009
9 litres = 9000 millilitres
1,000 millilitres = 1 litre
1,000 litres = 1e+6
350 millilitres = 0.35 litres
350 litres = 350000 millilitres
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot
SOH-CAH-TOA
sin Q = Opposite = 26
hypotenuse x
sin 54 = 26
x
x sin 54 = 26
x sin 54 = 26
sin 54 sin 54
x = 26 = 32.1378 ≈ 32.1 feet
sin 54
Pls help 25 only and brainlist
Answer:
2x+2
Step-by-step explanation:
Perimeter = 2 * width + 2 * length
12x+10 = 2(4x+3) + 2 * width
12x+10 = 8x + 6 + 2w
4x+4 = 2w
2x+2 = w
Someone help with this please
Answer: B
Step-by-step explanation: B is in slope-intercept form
this is the choices
88
70
110
120
Answer:
110
Step-by-step explanation:
Y and X have to equal 180
70+x+180
=110
2 lines that never intersect
Answer:
are parallel
Step-by-step explanation:
PLEASE MARK BRAINLIEST!
Answer:
Your answer is:
Step-by-step explanation:
dun, dun, DUNNN
parallel lines!
I hope this helps!
- sincerelynini
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
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
(b) The perimeter of a rectangular window is 298 cm.
If the length of the window is 81 cm, what is its width?
Width of the window: cm
Answer:
68
Step-by-step explanation:
81 +81 is 162
298-162=136
136/2=68
Name
4.
Banl
two
Line m is the perpendicular bisector of AB and
intersects the segment at point P. Which
statement is true?
(A)
© AP = 2 AB
PA & BP
(В)
AB = AP
BP = 2 AB
Answer:
a)
Step-by-step explanation:
PA ≅ BP
Perpendicular bisector means it divides the line into two equal part at 90°
PLEASE HELP I NEED THE ANSWER QUICK!!!
What is the Length/ value of N
Answer:
n = 104
Step-by-step explanation:
Answer:
n = 104
Step-by-step explanation:
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6
w = 5m − 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.
Answer:
no 4=f
Step-by-step explanation:
dwfn sdv and it appers to be marys age ;)
think before you do something rude
Answer:
C. Solve m + 6 = 5m - 10
Step-by-step explanation:
Wilson is 6 years older than Mary.
(MARY's age + 6 = WILSON's age)
Wilson's age is 10 years less than five times Mary's age.
(MARY's age * 5 - 10years = WILSON's age)
(Mary is 4 years old and Wilson is 10:
4 + 6 = 10
4(5) = 20 - 10 = 10
just in case you were curious)
Good luck!!
If you were planning a meal for 24 people,
how many dozens
of eggs would you need to buy if each person were to have 2 eggs each?
Answer:
4 dozen.
Step-by-step explanation:
Total number of eggs required =2*24 = 48
One dozen = 12 so the answer is 4 dozen eggs.
I need help fast thank you all!!
Answer:
b = 5.2
c = 3.5
Step-by-step explanation:
By 45°- 45° - 90° triangle theorem:
[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]
By 30°- 60° - 90° triangle theorem:
[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]
5(2x - 5) + 10x = 75
Answer:
x = 5
Step-by-step explanation:
5(2x-5) +10x = 75
10x -25 +10x = 75
20x - 25 = 75
20x = 100
x = 5
What is 6.5 divided by 2.6 Equivalent Expression
Answer:
650÷26 I think hope this help
what is the slope of the line below?
give an exact number. plz help !
Given D'E'F'G' is a dilation of DEFG, find the scale factor of dilation.
Answer:
7.5
Step-by-step explanation:
157.5/21 = 7.5
Jasmine sold half of her Barbie doll Collection
and then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many
Can someone plz help:(
Answer:
60 degress
Step-by-step explanation:
1. Find out the angel of each side. 360 divded by 6 = 60
2. Get the answer of 60
If M
then mABC = [ ? ]
Answer:
135
Step-by-step explanation:
m(abc)= m(abd) +m(dbc) = 65+60 =135
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer: c
Step-by-step explanation: a parrelagram has each side parrel
Answer:
B. - it has four right angles
Solve for x
-56 =8(x - 8)
x=
Answer:
-56=8(x-8)
-56=8x-64 +64
8=8x :8
1=x
Step-by-step explanation:
prove me wrong
Answer:
x=1
Step-by-step explanation:
You would do distributive property and multiply 8 by the x and -8
-56=8x-64
The add 64 on both sides
8=8x
divide 8
x=1
5/7(14-21x)=115
what is the answer?
Answer:
-7
Step-by-step explanation:
i need help now its due right now can anyone help me
Answer:
(2,-3)
Step-by-step explanation:
I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol
What is the slope of the linear equation y=x+10
a. Slope=m=10
b. Slope=m=1
c. Slope=m=5
d. Slope=m=11
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m = 1
In the diagram, the measure of angle 6 is 98°.
What is the measure of angle 7?
Answer:
angle7 = 180°-98° = 82° (Angles on a straight line)
Two cars leave the same parking lot, with one heading north and the other heading east.
After several minutes, the eastbound car has traveled 3 kilometers. If the two cars are now a
straight-line distance of 6 kilometers apart, how far has the northbound car traveled? If
necessary, round to the nearest tenth.
Answer:
wouldn't it be 3 kilometers because 3 this way plus 3 that way = 6 away from each other?
What is an equation of the line that passes through the point (–1,5) and is parallel
to the line x - y = 6?
Answer:
y = - x + 4
Step-by-step explanation:
The first step is to find the slope-intercept form, which is:
y=x-6.
Then, y=x+6
y=-x+4 should be the answer since it passes through the point (-1, 5)
Answer:
y=x+6
Step-by-step explanation:
the other guy was wrong
