Answer: 16,000 litres
Step-by-step explanation:
1/16 of the pool is 2000l
8/16 full is 1/2 of the pool full
1/16 = 2000
8/16 = x
Cross multiply
1/16x = 2000 × 8/16
1/16x = 1000
Multiply both sides by 16
x = 16000
To make the pool half full, 16,000 litres is required.
16000 liters of water is required to make the pool half full.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given that,
A swimming pool containing 2000l of water is 1/16 full.
We have to calculate the amount of water required to make the pool half full.
Let x be the liter of water required to make the pool half full.
Using proportional concept,
2000 : 1/16 = x : 1/2
This can be written as,
2000 / (1/16) = x / (1/2)
2000 × 16 = 2 x
x = (2000 × 16) / 2
x = 16000
Hence it would require 16000 liters of water to make half full pool.
To learn more about Proportions, click on the link :
https://brainly.com/question/26974513
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3/4 + 2/3 using fractions
Step-by-step explanation:
Lowest common multiple (LCM) of 4 and 3 = 12.
Therefore 3/4 + 2/3
= 9/12 + 8/12
= 17/12 or 1 5/12.
Answer:
1 5/12
Step-by-step explanation:
To do this, we need to find the LCM of 4 and 3. The LCM of 4 and 3 is 12. Now, since 4x3 is 12, we multiply 3/4 by 3/3 to get 9/12. Now, we multiply 2/3 by 4/4 (since 3x4 is 12) to get 8/12. Now, we add only the top numbers to get 17/12. To simplify this, we divide 17 by 12 (check attached screenshot). The quotient (the answer) becomes the whole number, the divisor (12) becomes the denominator, and the remainder (5) becomes the numerator. This gets us 1 5/12.
6(4 - 2р) + 9p
Can any one help
Answer: p = 8
Step-by-step explanation:
6(4-2p)+9p
24 - 12p + 9p
24 - 3p
-3p = -24
3p = 24
p = 8
What type of graph is this?
Answer:
The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.
Step-by-step explanation:
bc
I GIVEEE BRAINLILSTTT
Answer:
T 9,9
U 0,9
V 8,10
because it's a reflection over y axis, everything negative will be positive
Answer:
Below
Step-by-step explanation:
The x's will be the opposite (y's will stay the same):
T=(9,9)
U=(0,9)
V=(8,10)
Find the value of x, please help
Answer:
x = 90 (verified answer) ✅Step-by-step explanation:
There are 360° of measure in a quadrilateral. By the definition of a parallelogram, we know that the angle opposite the labeled angle will have the same measure as that labeled angle.
So, 12x + 12x + 8x + 8x = 360
Simplifying all the x's gives us:
40x = 360
Divide by 40
x = 90
Now, we check this
40 (90) = 360
360 = 360 ✅
Which graph below best represents y = -2x +3?
Answer:
A.
Step-by-step explanation:
It's a little blurry to see the answers but I can assure you that A is the best answer because C has a y-intercept of 2 while A is higher in which it is placed at 3.
Let y=f(x) be a twice differentiable function such that f(1)=3 and dy/dx= (4y^2+7x^2)^1/2. What is the value of d2y/dx2 at x=1?
Answer:
[tex]\displaystyle f''(1) = \frac{7}{\sqrt{43}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeCalculus
Derivatives
Derivative Notation
Taking Derivatives with respect to x
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Function: y = f(x), twice differentiable.
[tex]\displaystyle f(1) = 3\\\frac{dy}{dx} = (4y^2 + 7x^2)^{\frac{1}{2}}[/tex]
Step 2: Differentiate
Remember we are taking the derivative with respect to x.
Chain Rule [Basic Power Rule]: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{\frac{1}{2} - 1} \cdot \frac{dy}{dx} (4y^2 + 7x^2)[/tex][2nd Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{-\frac{1}{2}} \cdot \frac{dy}{dx} (4y^2 + 7x^2)[/tex][2nd Derivative - Chain Rule] Basic Power Rule: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{-\frac{1}{2}} \cdot (0 + 2 \cdot 7x^{2 - 1})[/tex][2nd Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{-\frac{1}{2}} \cdot 2 \cdot 7x[/tex][2nd Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{7x}{\sqrt{7x^2 + 4y^2}}[/tex]Step 3: Evaluate
We are given x = 1 and f(1) = 3. This will tell us the instantaneous slope.
Substitute [2nd Deriv]: [tex]\displaystyle f''(1) = \frac{7(1)}{\sqrt{7(1)^2 + 4(3)^2}}[/tex][√Radical] Exponents: [tex]\displaystyle f''(1) = \frac{7(1)}{\sqrt{7(1) + 4(9)}}[/tex][Fraction] Multiply: [tex]\displaystyle f''(1) = \frac{7}{\sqrt{7 + 36}}[/tex][√Radical] Add: [tex]\displaystyle f''(1) = \frac{7}{\sqrt{43}}[/tex]This tells us that the rate of change of the slope of the tangent line is [tex]\displaystyle \frac{7}{\sqrt{43}}[/tex].
We can also write an equation for the instantaneous slope:
[Equation] [tex]\displaystyle y - 3 = \frac{7}{\sqrt{43}}(x - 1)[/tex]
List the factors of 95
plssssssssssssssssss help asap so am what part % of 18 is 24 it iis not 75
24
Percentage Calculator: 18 is what percent of 75? = 24.
Answer two questions about Equations A and B:
A. 5x = 20
B. x=4
1) How can we get Equation B from Equation A
Choose 1 answer:
A: Multiply/divide both sides by the same non-zero constant
B: Multiply/divide both sides by the same variable expression
C: Add/subtract the same quantity to/from both sides
D: Add/subtract a quantity to/from only one side
2: Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A: Yes
B: No
PLS HELP
Solve the Equation for f: -2/3f-4=10
50 Points
Answer:
f= -21
Step-by-step explanation:
please mark brainlliest if you want.
Answer:
F=-21
Step-by-step explanation:
-2/3f-4=10
Multiply both sides
-2f-12=30
Add 12 to 30
-2f=42
Divide by -2
F=-21
does anyone know how to solve this? and if so can you put an explanation? ive been struggling with this question for a while
Answer:
x = 31
Step-by-step explanation:
So, the angle of a line is 180 degrees. This is a very important fact, because this means that (5x - 16) + (x + 10) = 180 degrees.
Note: The parenthesizes are not needed, but I put them there to symbolize the adding of those two angles that make up the line.
Adding like terms, we get:
6x - 6 = 180
Move the -6 over to the right side.
We get:
6x = 186
Dividing both sides by 6, we get the value of x:
x = 31
If you have any questions, please don't be afraid to ask!
Pls answer if you know the ANSWER
Answer:
I was going to answer then I realized I don't know the answer. Sorry.
Step-by-step explanation:
Please someone help me with this question...
Answer:
(❁´◡`❁)
Step-by-step explanation:
divide -3x^3-4x^2+4x+3 by x-2
Answer: -3x^2-10x-16
Step-by-step explanation:
1. answer the three questions below about the quadrilateral:
a. How could we find the perimeter below about the quadrilateral?
b. How might we calculate the area of this figure?
c. It looks like it might be a rectangle. What can we do to help us decide if it's a rectangle or a parallelogram?
Before we begin, note that we need to use the distanse formula for everything to reach our conclusion. With that being said, here we go:
[tex]\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d[/tex]
Using the ordered pairs [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:
[tex]\displaystyle \sqrt{[-3 + 4]^2 + [3 - 2]^2} = \sqrt{1^2 + 1^2} = \sqrt{2}[/tex]
Now, sinse the distanse between [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] is [tex]\displaystyle \sqrt{2}[/tex] units, then the distanse between [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [0, 0][/tex] ALSO has to be [tex]\displaystyle \sqrt{2}[/tex] units. By definition, lettre c has already been answered for you because sinse it is a rectangle, if the two short sides are congruent, then the two long sides ALSO have to be congruent, but just in case you want to be sure [you do not trust your instincts], just simply re-use the distanse formula.
Using the ordered pairs [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:
[tex]\displaystyle \sqrt{[-1 + 4]^2 + [-1 - 2]^2} = \sqrt{3^2 + [-3]^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}[/tex]
So there you have it. The length of both of the long sides is [tex]\displaystyle 3\sqrt{2}[/tex] units.
Now that we cleared all of that up, we can now find the perimetre and area of this rectangle:
[tex]\displaystyle 2w + 2l = P[/tex]
[tex]\displaystyle 2[\sqrt{2}] + 2[3\sqrt{2}] = 2\sqrt{2} + 6\sqrt{2} = 8\sqrt{2}[/tex]
The perimetre of this rectangle is [tex]\displaystyle 8\sqrt{2}[/tex] units.
[tex]\displaystyle wl = A[/tex]
[tex]\displaystyle [\sqrt{2}][3\sqrt{2}] = [3][2] = 6[/tex]
The area of this rectangle is [tex]\displaystyle 6[/tex] squared units.
You have now found what you were looking for.
** All rectangles are parallelograms because they both have two pairs of parallel and congruent sides, while vice versa is falce because a parallelogram does not have four congruent right angles, so it is safe to say that this is both a rectangle AND parallelogram, sinse the picture displayed is a rectangle.
I am joyous to assist you at any time. ☺️
9514 1404 393
Answer:
a) compute and add up the side lengths
b) multiply length by width
c) compare the slopes of adjacent sides
Step-by-step explanation:
a) The perimeter of any figure is the sum of the lengths of its sides. It can be computed for a rectangle or parallelogram by adding the lengths of adjacent sides and multiplying the sum by 2.
In this graph, each grid square is 1/2 unit. The width of the rectangle is the diagonal of a square that is 1 unit on a side, so is √2 units. The length is 3 times that, so the perimeter is ...
P = 2(L+W)
P = 2(3√2 +√2) = 8√2 . . . . perimeter of the rectangle in units
__
b) The area is the product of the length and width.
A = LW
A = (3√2)(√2) = 6 . . . . area of the rectangle in square units
__
c) Each side lies on the diagonal of a unit square. The diagonals of a square are perpendicular, so the sides of this parallelogram are perpendicular. That means the figure is a rectangle.
The basic idea is to look at adjacent sides to see if they are perpendicular. Here, we have determined that using the properties of a square. One could compute "rise"/"run" for each side to see of the values are opposite reciprocals.
origin to B: rise/run = 1/1 = 1
B to C: rise/run = -3/3 = -1
Each of these values is the opposite reciprocal of the other: 1 = -1/-1.
_____
Additional comment
This question seems to be about methods, not about numbers. We have given numbers anyway.
Tom can mow 5 lawns in 2 hours. How many lawns can he mow in 10 hours?
Answer:
25
Step-by-step explanation:
Answer:
25 lawns
Step-by-step explanation:
Since he can mow 5 lawns in 2 hours he can mow:
10 lawns in 4 hours
15 lawns in 6 hours
20 lawns in 8 hours
25 lawns in 10 hours
Hope this helps! It's a pattern! :D
find the volume of figure B. round your answer to two decimal places
Answer:
468.75 m³Step-by-step explanation:
Figure A has volume of 30 m³
Figure B is similar to figure A and the scale factor is:
5/2 = 2.5Volume is the product of three dimensions, therefore the volume of B will be greater by:
2.5×2.5×2.5= 15.625 times than AThe volume of B is:
30*15.625 = 468.75 m³Plss help
2 kg=_______g
2 kg=_______mm
1 km=_______m
2 km=_______m
1 L=________ml
2 L=_______ml
1 m=_______cm
2 m=_______cm
Answer:
2000g
Step-by-step explanation:
the first one is 2000g!
FROM 1KG_1000G
SO
2KG=2000G
Write an equation for the following table.
Answer:
y= 38x
Step-by-step explanation:
It is going up by 38 each time. There is no b value (y=mx + b), because if you times 6 by 38, you get 228. You don't need to add any remainders.
Jalen says that 60% of his teammates are over 70 inches. Is Jalen's statement correct? 73, 61, 62, 59, 75, 60, 74, 75, 78, 69, 70
A. No, because there are 5 players with a height greater than 70 inches and that's about 45% of the players B. Yes, there are at least 9 players with a height of at least 70 inches and that is 60% of the players C. No, there is one player with a height of 70 inches and that is 9% of his teammates. D. Yes, because the median height of the ponies is 60 and 60% of the ponies would be taller
Answer:
A
Step-by-step explanation:
5/11 X 100% = 45.45%
Cheryl's famous pumpkin pie Seasoning consists of a blend of cinnamon, nutmeg and cloves. WHen cheryl mixes up a batch, she uses 200 ounces of cinnamon, 100 ounces of nutmeg, and 100 ounces of cloves. If cinnamon sells for $1.80 per ounce, nutmeg sells for $1.60 per ounce, and cloves sell for $1.40 per ounce, what should be the price per ounce of the mixture. math problem answer
Answer:
$1.65
Step-by-step explanation:
Given that:
Batch mixture :
Cinnamon - 200 ounces
Nutmeg - 100 ounces
Cloves - 100 ounces
Cost of Seasoning mix :
Cinnamon - 1.80 per ounce
Nutmeg - 1.60 per ounce
Cloves - 1.40 per ounce
Price per ounce of mixture :
Let the price per ounce of mixture = x
Total ounce of mixture = (100 + 100 + 200) = 400 ounces
Σ(ounce * cost) = total ounce * cost of mixture
(200*1.80)+(100*1.60)+(100*1.40) = 400 * x
$360 * $160 * $140 = 400x
$660 = 400x
x = $660 / 400
x = $1.65
Price per ounce of mixture = $1.65
>
The value of the expression 6x when x = 2 is
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6x means 6 times x so when you replace x with 2 you get 6×2= 12
The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 50 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study.
Number of Clients Frequency
25 up to 40 3
40 up to 55 11
55 up to 70 24
70 up to 85 8
85 up to 100 4
Estimate the mean and the standard deviation. Round squared deviations to the nearest whole number and the final answer to 2 decimal places.
Answer:
Estimates of the number of individual tax forms prepared by small accounting firms:
1. Mean = 10
2. Standard deviation = 7.56
Step-by-step explanation:
a) Data and Calculations:
Number of Clients Frequency Mean Diff Squared Deviation
25 up to 40 3 -7 49
40 up to 55 11 1 1
55 up to 70 24 14 196
70 up to 85 8 -2 4
85 up to 100 4 -6 36
Sum 50 286
Mean of frequencies = 10 (50/5) 57.2 (286/5)
Standard deviation = square root of 57.2 = 7.56
b) The IRS can obtain the mean value of the number of individual tax forms prepared by small accounting firms by dividing the sum of the frequencies by the numbers (50/5). Similarly, the IRS can calculate the standard deviation of the number of individual tax forms prepared by small accounting firms, which measures how spread out the data is about the mean value, by working out the mean of the frequency numbers. Then subtract the mean for each number and square each result. Add up the squared differences and divide by the number to get the mean. Finally, take the square root of the mean differences.
what is 2 1/4 . 9/5?
Answer:
0.05
Step-by-step explanation:
Complete each congruence statement by naming the corresponding angle or side (odd questions only)
Answer/Step-by-step explanation:
5. Given that ∆FGH ≅ ∆TSU, all three angles and sides of ∆FGJ are congruent to all corresponding angles and sides of ∆TSU.
Thus:
Since, <HFG in ∆FGH corresponds to <UTS in ∆TSU, therefore:
<HFG ≅ <UTS
7. Given that ∆FGH ≅ ∆FGL, the following are the corresponding sides and angles:
FG ≅ FG
GH ≅ GL
FH ≅ FL
<FGH ≅ <FGL
<FHG ≅ FLG
<GFH ≅ GFL
a submarine dives 20 meters each minute. what is the total change in depth after 10 minutes
Answer: 200 Meters after 10 minutes.
Step-by-step explanation:
To find the answer you must multiply 20 for every minute.
Hope this helped :D
Write two polynomials whose difference is 6x+3. Then prove it.
Answer:
One possible pair:
7 x + 4 and x + 1
Step-by-step explanation:
There are infinitely many pairs that meet this requirement.
Please mark me brainliest :D
Felicity the unicorn is in the forest. She is enjoying a delicious melon. A weasel grabs the melon out of her mouth and starts to devour it. Felicity notices that there are 19 pairs of eyes looking at the weasel. Based on the info you've been given, how many animals are in the forest right now? Type your answer in below!
Answer:
21 animals in the forest
Step-by-step explanation:
The weasel
Felicity
The 19 other animals
Hope this helped
50 points and a BRAINLIEST if you answer correctly! Pls Pls help!
Answer:
3/10
Step-by-step explanation:
Numbers Given are:
1 1/2, 2 1/2, 1 2/3, and 2 5/6
The result at the end of all the math is 2 5/6.
1 2/3 + 2 5/6 = 4 1/2
Divide 4 1/2 by 1 2/3 to get 2 7/10.
Subtract 2 2/3 from 2 7/10 to get 1/5.
Multiply 1/5 by 1 1/2 to get 3/10.
So the number they thought of was 3/10.