The tank contains approximately 26.67 liters of water.
Use the concept of ratio defined as:
A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.
Where x and y are individual amounts of two quantities.
And, the Total quantity is given after combining as x + y.
Given that,
Dimensions of the tank: 50 cm by 32 cm by 20 cm
The ratio of water to sand: 5: 1
The volume of the tank: 32,000 cm³
Calculate the volume of the tank first:
Since the ratio of water to sand is 5:1,
Calculate the volume of water.
Assign the variable "x" to represent the volume of water.
According to the ratio,
The volume of sand would be 1/5th of the volume of water,
So the volume of sand would be (1/5)x.
Since the tank is full,
The combined volume of water and sand is equal to the volume of the tank.
Therefore, we have the equation
x + (1/5)x = 32,000 cm³.
Simplifying the equation,
we get (6/5)x = 32,000 cm³.
To find the volume of water (x),
Solve for x by multiplying both sides of the equation by (5/6):
x = (32,000 cm³)(5/6).
Calculating this, we get the volume of water as 26,666.67 cm³.
Now, to convert this to liters,
Divide by 1000:
26,666.67 cm³ ÷ 1000 = 26.67 liters.
Hence, there are approximately 26.67 liters of water in the tank.
Learn more about the ratio visit:
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Ill mark you brainlist plz help if you put something random I will report you!
Answer:
Rate of change=1
Step-by-step explanation:
y2-y1/x2-x1
(2,0), (0,-2)
y2=-2
y1=0
x2=0
x1=2
-2-0/0-2
-2/-2
1
Rate of Change=1
If this helps please mark as brainliest
Answer:
1
Step-by-step explanation:
Choose two points from the graph.
(0,-2) & [tex]= \frac{0 - [-2]}{2-0}\\\\= \frac{0+2}{2}\\\\= \frac{2}{2}\\\\= 1[/tex](2, 0)
Rate of change = Change in y / change in x
Can someone help me find the area plz
Answer:
16.24 yd^2
Step-by-step explanation:
The area is
A = bh
A = 5.6*2.9
A =16.24 yd^2
Answer:
Step-by-step explanation:
90.9
Find the distance between the points (-4,-2) and (-10, 6). Write your answer as a whole number or a fully simplified radical expression. Do not round. units
Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x+4) and (x+8)?
A. 4 and -8
B. 4 and 8
O c. -4 and -8
O D. -4 and 8
Answer:
C
Step-by-step explanation:
Given the factors of a polynomial.
To find the zeros ( the values that make the polynomial equal to zero ), then
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 8 = 0 ⇒ x = - 8
A student club has 60 members. They want to elect two officers who will serve as the president and the vice president of the club. The club bylaws dictate that the selections be done without replacement and that the first person selected would serve as the president and the second person selected would serve as the vice president. Calculate how many different ways the selections can be made if: a) There is no restriction on who is elected and whoever is elected will accept to serve. (2 Points) b) Two members, say A and B, will accept to serve only if they are elected to serve together. (3 Points)
Answer:
3540
2
Step-by-step explanation:
Total number of members = 60
Number of members to be elected = 2
Since the order of selection matters as the first is president and second is vice president ;
Using the permutation formula :
nPr = n! ÷ (n-r)!
60P2 = 60! ÷ (60 - 2)!
60P2 = 60! ÷ 58!
60P2 = 3540
B.) 2 members A and B will accept to serve only if they are selected to serve together ;
Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;
2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2
A triangle has sides with lengths of 11 miles, 16 miles, and 18 miles. Is it a right triangle?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 18, and 18² = 324
11² + 16² = 121 + 256 = 377 ≠ 324
Then triangle is not right.
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answer:
hypotenuse is the correct answer
Answer: A) hypotenuse
Step-by-step explanation: I need two more brainliest for the next rank I’d appreciate it
A research center project involved a survey of 846 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% of respondents said the internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally. (Round your answers to four decimal places.) 0.9239 Incorrect: Your answer is incorrect. to 0.9561 Incorrect: Your answer is incorrect. (b) The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) 0.6385 Incorrect: Your answer is incorrect. to 0.7015 Incorrect: Your answer is incorrect.
Answer:
(a) (0.9240, 0.956)
(b) (0.6383, 0.7017)
Step-by-step explanation:
The number of internet users involved in the survey, n = 846
The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%
(a) The confidence interval of a percentage is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
The z-value for 95% confidence interval = 1.96
We get;
[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]
CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240, 0.956)
(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67
The 95% confidence interval is therefore;
[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]
From which we have;
CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)
rút gọn biểu thức của căn bậc hai số học của 125 - 10 căn bậc hai số học của 1/20 - căn bậc hai số học của 5 - 5/ căn bậc hai số học của 5
Answer:
2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]
=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]
=2[tex]\sqrt{5}[/tex]
Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
Answer:
[tex](x-7)^2+(y-2)^2=34[/tex]
Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Since our center is at (7, 2), h = 7 and k = 2. Substitute:
[tex](x-7)^2+(y-2)^2=r^2[/tex]
Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:
[tex](2-7)^2+(5-2)^2=r^2[/tex]
Solve for r:
[tex](-5)^2+(3)^2=r^2[/tex]
Simplify. Thus:
[tex]25+9=r^2[/tex]
Finally, add:
[tex]r^2=34[/tex]
We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
[tex](x-7)^2+(y-2)^2=34[/tex]
Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)
PLEASE HELP
Write the equation of the parabola in vertex form.
Answer:
the free
Step-by-step explanation:
Dan earns £8.50 per hour. how much will he learn for 8 hours work?
Answer:
68
Step-by-step explanation:
2) Angel does 124 sit-ups a day for 6 days, while Paul does 152 sit-ups a day for 4 days. Who has more sit-ups?
Total no. sit-ups by Angel = 124×6 = 744
Total no. sit-ups by Paul = 152×4= 608
Answer: Angel
the function g(x) is the function that results when you shift function f(x) up 6 units. f(x)=3x^4. give g(x)
Answer:
g(x) = [tex]3x^{4} + 6[/tex]
Step-by-step explanation:
To move a function up or down along the y-axis all you would have to do is add or subtract the numbers of units that you want the graph to move up or down. Adding a value to the entire function moves it up, while subtracting moves it down. Therefore, in order to move f(x) up 6 units we simply add 6 to the function. Therefore, g(x) will be the following
g(x) = [tex]3x^{4} + 6[/tex]
Both f(x) and g(x) can be seen in the attached picture below
What is the slope intercept form for 8-9 whoever answers both and correct will get brainliest
Answer:
slope 8= -1/5
slope 9= -1
Step-by-step explanation:
On the following parallelogram, find angle a in degrees.
12 inches
b
с
у
a
1149
+
Х
O a = 66
O a = 114
O a = 45
O a = 58
9514 1404 393
Answer:
a = 66
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
a = 180° -114°
a = 66°
5 number summary? Please help this is confusing and please do step by step
does anyone know how to do this
Answer:
no i dont im so sorry
Step-by-step explanation:
Answer:
i believe it's 185° as the angle measure is closes to that
x + 3 > 70
How do I solve this step by step?
Answer:
x > 67
Step-by-step explanation:
x+3 >70
subtract from each side
x+3-3 > 70 -3
x > 67
Algebra
To solve this, simplify the algebra inequality.
Subtract three from both sides.
x>67
Meaning, x is bigger than 67.
During a recent two-day snowstorm, it snowed 6- inches on the first day
8
5
and 8 inches on the second day. Find the total snowfall.
12
,
Answer:
4.8 inches
Step-by-step explanation:
6 * 1 / 8 = 0.75
8 * 5 / 12 = 3.33
0.75 + 3.33 = 4.8 inches
Answer:
4.8 inches
Step-by-step Explanation:
helppp plzzzzzzzzzzzzz
Answer:
b, the answer is b
Step-by-step explanation:
i can explain later
Answer:
ans: x> -9
Step-by-step explanation:
if you multiply
-2x < 18 by -1 than inequality sign changes as
2x > -18
divide both side by 2 to free 2x to x i.e
2x/2 > (-18/2)
so
x> -9
A circle has a circumference of 12. It has a arc of length 11. What is the central angle of the arc, in degrees?
Answer:
132 degrees because you need to to the lenth
Determine the slope from the given graph below:
Answer:
A
Step-by-step explanation:
Answer:
B it's 8
Step-by-step explanation:
Brainliest plss
A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 angle of elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the tree to the nearest foot? 350 5 ft 20 Ft 24 feet 29 feet 36 feet 31 feet Done
Answer:
29 ft
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = h - 5/20
θ = 50°
Hence
tan 50 = h - 5/20 feet
Cross Multiply
tan 50 × 20 feet = h - 5
23.8350718518842 + 5= h
h = 28.8350718518842
h = 29 ft
Answer:
29
Step-by-step explanation:
D The prize money for a competition is
shared between the winner and the runner-up
in the ratio 3: 1.
The winner received £250 more than the
runner-up.
What was the total prize money?
Answer: 333.3
Step-by-step explanation:
Answer:
Total amount = £500
Step-by-step explanation:
Let the amount for the runner up be = x
Let the amount for winner be = x + 250
Let the total amount be x + x + 250 = 2x + 250
Ratio of the amount is 3 : 1
Sum of the ratio = 3 + 1 = 4
Amount for the winner is
[tex]\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125[/tex]
Therefore, Amount won by runner - up = x = £125
Amount won by winner = x + 250 = 125 + 250 = £375
Therefore, total amount = 375 + 125 = £500
what is the answer to -24 = 36x
devide both sides by 36
-24/36 = x
reduce
-2/3
Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2
Group of answer choices:
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.
Answer:
A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
Answer:
yes
Step-by-step explanation:
Which of the following systems of equations has many solutions?
1.
2x + 3y = 6
y= 2x + 2
2.
8x - 4y= 12
y=2x-3
.
3
y= 4x + 3
y= 4x - 3
4.
2x + y = 4
-2x - y = 4
Answer:
This is very.....
Step-by-step explanation:
hard
Find the y-intercept the line on the graph. Plz I need the credit
Answer:
4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at y = 4