Answer:
the Highest common factor (HCF)of 8,12,24 is 4
A chemist wants to mix an 8% salt solution with a 20% salt solution to obtain 12 liters of an 18% salt solution. How much of the 20% solution should she use?
a. 9 liters of the 20% solution
b. 6 liters of the 20% solution
c. 10 liters of the 20% solution
d. 2 liters of the 20% solution
C: 10 L of the 20% solution
Let
x = amount of 8% solution
y = amount of 20% solution
The chemist wants to end up with a 12-L mixture, so
x + y = 12
x L of 8% solution contains 0.08x L of salt, and y L of 20% solution contains 0.2y L of salt. When combined, the resulting mixture should have a concentration of 18% salt, or 18% of 12 L = 2.16 L of salt, so
0.08x + 0.2y = 2.16
Solve for y :
x = 12 - y
0.08 (12 - y) + 0.2y = 2.16
0.96 - 0.08y + 0.2y = 2.16
0.12y = 1.2
y = 10
Find the distance between the points G( – 5, 4) and H(2.6)
The exact distance between the two points is?
9514 1404 393
Answer:
√53 units
Step-by-step explanation:
The distance between G(-5, 4) and H(2, 6) can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2-(-5))² +(6-4)²) = √(7² +2²) = √53
The distance between the two points is √53 units.
A little Challenge.
(I made this question)
The radii of circles G and F is 1
The radii of all other circles is .5.
Step-by-step explanation:
the total area of circles =
(2 × π × 1²) + (3 × π × 0.5²)
= (2π) + ( 3× 0.25×π)
= 2π + 0.75π
= 2.75π
assume π=3.14
so, the total area =
2.75 × 3.14 = 8.635
Let's see
Area
2π(1)²+3π(0.5)²2π+0.75π2.75π8.6 units ²In a class, two out of every 10 students fails. If there are 50 students in the class, how many pass the test
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
10 students
Step-by-step explanation:
10 students=2 fail
50 students=10 fail
Hope this helps! Thanks.
Quick answer only please
Step-by-step explanation:
The equation for circumference is
[tex]c = 2 \pi r[/tex]
Solve for circumference using the equation.
C = 2(3.14)(13)
C = 81.64 km
HELP PLS!! PLS BRO LOLOLOLOL
Answer and Step-by-step explanation:
An easy way of doing this is to first square root the numerator and the denominator.
[tex]\sqrt{\frac{36}{81} } =\frac{\sqrt{36}}{\sqrt{81} } =[/tex] ±[tex]\frac{6}{9} =[/tex] ±[tex]\frac{2}{3}[/tex] <- This is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
How do you solve this: 2x+4+2=7x-6-3?
The answer you are looking for is x=3.
Solution/Explanation:
First, writing out the equation,
2x+4+2=7x-6-3.
Next, simplifying the equation just a little bit more, with the four numbers that do not include the variable "x" at all,
2x+6=7x-9.
Now, subtracting 7x from both sides of the equation,
2x+6-7x=7x-9-7x.
Regrouping the positions of the terms, using the Associative Property,
2x-7x+6=7x-7x-9.
Simplifying, and also, canceling out the 7x, since 7x-7x=0.
2x-7x+6=0-9, or 2x-7x+6=-9.
Simplifying "2x-7x," which is -5x,
-5x+6=-9.
Now, subtracting 6 from both sides,
-5x+6-6=-9-6.
Canceling out the "6," since 6-6=0,
-5x=-9-6.
Solving for "-9-6," which is "-15,"
-5x=-15.
Finally, dividing both sides by "-5,"
-5x/-5=-15/-5.
Simplifying "-5x/-5=-15/-5,"
-5x/-5=x.
And, also, -15/-5=3.
This eventually leads to x=3.
So, therefore, the final answer is x=3.
I hope that this has helped answer your question. Good day to you.
Answer:
The answer is x=3.
Step-by-step explanation:
2x+6=7x-9
-5x=-15
x=3
PLS HELP , I GOT ONLY ONE RIGHT AND THE REST ARE WRONG. I dont know what to do anymore pls help , its due todayyy plsjnn
Louis Poinsot established the patterns for the icosahedron and the dodecahedron in
1809. Besides really long words, what are they?
Answer:
Platonic solids
Step-by-step explanation:
To solve this we must be knowing each and every concept related to geometry. Therefore, icosahedron and the dodecahedron represents geometry of molecule.
What is geometry?Molecular geometry in chemistry depicts a molecule's three-dimensional form as well as the relative location of its atomic nuclei.
Understanding a molecule's molecular geometry is critical since the spatial connection between atoms dictates its reactivity, color, bioactivity, state of matter, polarization, as well as other features. A molecule's form influences its physical and chemical properties, including its colour, sensitivity, and bioactivities. Icosahedron and the dodecahedron represents geometry of molecule.
Therefore, icosahedron and the dodecahedron represents geometry of molecule.
To learn more about geometry, here:
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#SPJ6
simplify 81-19+218-412
Answer:
-132
Step-by-step explanation:
81+(218-19)-412
81+(199)-412
81+199-412
280-412
-132
THANK YOU
Answer:
-132
BRAINLIEST, PLEASE!
Step-by-step explanation:
Add and subtract two terms at a time until you reach the end.
Write a two-step equation and solve.
Four more than six times a number is 22
Five less than eleven times a number is 50
Seven less than nine times a number is -16
Step-by-step explanation:
1) let the number=x
six times a number=6x
Condition:
6x+4=22
2) eleven times a number=11x
Condition:
11x-5=50
3) nine times a number=9x
Cindition:
9x-7=-16
I keep getting 30 but it’s not right. Can anyone tell me the steps?
2[10-3(4-2)]+1
Answer:
9
Step-by-step explanation:
[tex]2[10-3(4-2)]+1\\=2(10-3\times2)+1\\=2(10-6)+1\\=2\times4+1\\=9[/tex]
James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in total to go around all
four sides of his yard?
O 10 ft
O 20 ft
O 40 ft
O 80 ft
Answer:
40 ft.
Step-by-step explanation:
Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.
Hope this helps!
A drink contains 20% mango juice and the rest is apple juice. What is the ration of mango juice to apple juice
Answer:
% of apple juice = 100-20 = 80%
mango : apple
= 20 : 80
= 1 : 4
Answer:
1:4
Step-by-step explanation:
20:80 is basically mango to apple juice, so all you have to do is simplify this ratio to the lowest form, which is in fact 1:4
The product of a rational number and an irrational number is always irrational.
A. True
B. False
A wall is 4200 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answer:
1 gallon = 600 sq ft. So you will need 7 gallons to cover the whole wall
Step-by-step explanation:
4200 ÷ 600 = 7
Answer:
7
Step-by-step explanation:
Divide the total wall space by the amount in 1 gallon: 4200/600= 7
So you would need 7 gallons to paint the whole wall.
Is that what you were looking for?
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
5x+8=3(x+2) anyone know the answer?
Step-by-step explanation
work out the question in bracket first then separate numericals and variables to make it easier.
Answer:
distribute
5 + 8 = 3 ( + 2 )
expand to
5 + 8 = 3 + 6
subtract 8 from both sides
5 + 8 = 3 + 6
5 + 8 − 8 = 3 + 6 − 8
simplify
5 = 3 − 2
subtract 3 from both sides
5 − 3 = 3 − 2 − 3
simplify
2 = − 2
then divide both sides by 2
2 / 2 = − 2/ 2
= − 2/ 2
answer is
= −1
Step-by-step explanation:
Hope that helps>3
A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack
Answer:
107 full and .103 of another
Step-by-step explanation:
6212/58 =
does the table represent a function
Answer:
Yes, the table represents a function.
Step-by-step explanation:
A function doesn't have multiple x values (inputs).
If the table were to have more than one 5 (or more than one 4 etc.) in the input column then it would not be a function.
Write 8-10 sentences of how math was used during the pandemic
^^i didn't really understand that one and yes ill give brainliest and yes I will report your answer if you put absurd stuff
Math in many areas is used to create models, mathematical systems the describe real-world situations.
During the pandemic, a model called exponential model was used to predict the how many people will get infected given certain parameters, such as infection rate, average age of population, ...
We picked this particular model because viruses spread at an exponential rate, just like for example bacteria division would be modeled with something like [tex]2^t[/tex] where t is day number. After 1 day there are 2, after 2 days there are [tex]4, 8, 16, 32, \dots[/tex] which is known as exponential behaviour -- viruses spread that way, first person gets infected, aka patient 0, then that person likely infects others and others likely infect more people.
In particularly [tex]R_0[/tex] also known as basic reproduction number was used as a base, that is, [tex]R_0^t[/tex].
You can see if, [tex]R_0\lt 1[/tex] then we have a reciprocating behaviour, less and less infected with time passing, this is ideal and it means the pandemic is waning.
However if, like in case with current pandemic, [tex]R_0\gt 1[/tex] then the behaviour is exactly the opposite, more and more get infected with time. The current pandemic had a highest [tex]R_0[/tex] of 6.49 with a mean of 3.28 and a median of 2.76.
That means at its heighest, 1 new infected person meant potentially 6 new infected people which meant 36 because each of them would probably infect which means [tex]216,1296,7776,46656,\dots[/tex].
So the main goal is to prevent [tex]R_0[/tex] from getting larger ie. minimization, that is why vaccination, masks, good hygiene.
Of course the model is much much more complex and parameterized.
The exponential model took a lot into account and came up with various prediction graphs of for example the next week.
The graphs served to the states to decide what to do next.
So in all, everything that you are witnessing was at some point just, math.
Hope this helps :)
Answer:
it was online math cause of the pandemic
Step-by-step explanation:
Write and solve an equation to find the numben.
The sum of twice a number and 13 is 75
Equation = 75
The number isn=
Answer:
32
Step-by-step explanation:
let number=b
twice a number=2b
Condition:
2b+13=75
2b=75-13
2b=62
b=62/2
b=31
Note:if you need to ask any question please let me know.
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]Solve the equation.
5(x - 2)+x= 6(x - 3) + 8
MO
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer: B
Step-by-step explanation:
[tex]5(x-2)+x=6(x-3)+8\\remove the parentheses\\5x-10+x=6x-18+8\\combine like terms \\6x-10=6x-10\\xER[/tex]
What is the answer to |-2|+|-3|
Answer:
5
Step-by-step explanation:
the absolute value of -2 is 2
the absolute value of -3 is 3.
Since the question is adding the absolute values, the answer is 5
Evaluate 4x + 5y , when x = 7 and y = 10
Hi ;-)
[tex]x=7 \ and \ y=10\\\\4x+5y=4\cdot7+5\cdot10=28+50=\boxed{78}[/tex]
Step-by-step explanation:
4x + 5y
4 × 7 + 5 × 10
28 + 50
78
Therefore its 78.
slove the simoltanous equation by using substitution or elimination method 5x-3y=1 3x+2y=1
By substitution method
5x - 3y =1
3x + 2y = 1
_____o____o____
[tex]5x - 3y = 1 \\ 5x = 1 + 3y \\ x = \frac{1 + 3y}{5} [/tex]
______o____o_____
[tex]3x + 2y = 1 \\ 3( \frac{1 + 3y}{5} ) + 2y = 1 \\ \frac{3 + 9y}{5} + 2y = 1 \\ \frac{3 +9y + 10y}{5} = 1 \\ \frac{3 + 19y}{5} = 1 \\ 3 + 19y = (1)(5) \\ 3 + 19y = 5 \\ 19y = 5 - 3 \\ 19y = 2 \\ y = \frac{2}{19} [/tex]
______o_____o____
[tex]x = \frac{1 + 3y}{5} = \frac{1 + 3 \frac{2}{19} }{5} \\ x = \frac{1 + \frac{6}{19} }{5} = \frac{ \frac{19 + 6}{19} }{5} = \frac{ \frac{25}{19} }{5} \\ x = \frac{25}{19} \div 5 \\ x = \frac{25}{19} \times \frac{1}{5} \\ x = \frac{5}{19} [/tex]
I hope I helped you^_^
if angle BÂD=19°
Find angle ACB
Answer:
<ACB = 19°
Step-by-step explanation:
<BAD is a peripheral angle, meaning the angle it intersects is twice it. This means that arc AB is 2*19 or 38. Now, <ACB is an inscribed angle because it has a vertex on the circle. An inscribed angle is half the angle it intercepts. This means <ACB is 1/2 arc AB or 19.
Power supply on state X is terribly poor. Courses of Action: I) WAPDA should urgently take action against power theft. II) The government should generate more power.
The course of Action that should be undertaken is ; ( II ) The government should generate more power
The power supply in an area can be affected by several factors and some of these factors can be natural disasters or man made factors . the effects of these factors can lead to a reasonable decrease in power supply and some of these factors includes;
Bad weather conditions : such as Heavy thunderstorms, hurricanes and heavy flooding Low amount of generated power Inadequate generating companiesElectricity theft as well as other bad electricity practices.WAPDA is not charged with going after power thieves, they are saddled with the responsibility of harnessing hydropower resources to produce/generate enough clean electricity Therefore this course of action is not valid
The correct course of action that will improve the power supply on state X is for the government to generate more power through its agencies like WAPDA.
Hence the right course of action is The government should generate more power
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A store is having a sale on jelly beans and trail mix. For 7 pounds of jelly beans and 9 pounds of trail mix is a total of $42. For 5 pounds of jelly beans and 3 pounds of trail mix is a total of $24. Find the cost for each pound of jelly beans and each pound of trail mix?
Answer:
One pound of jelly beans costs $3.75.
One pound of trail mix costs $1.75.
Step-by-step explanation:
Let [tex]x[/tex] be equal to one pound of jelly beans.
Let [tex]y[/tex] be equal to one pound of trail mix.
1) Form equations
We're given:
7 pounds of jelly beans + 9 pounds of trail mix = $42
⇒ [tex]7x+9y=42[/tex]
5 pounds of jelly beans + 3 pounds of trail mix = $24
⇒ [tex]5x+3y=24[/tex]
Now, we have our two equations:
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
2) Solve for x using elimination
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
Multiply the second equation by 3 to change 3y to 9y:
[tex]5x+3y=24\\3(5x+3y)=3(24)\\15x+9y=72[/tex]
Subtract the first equation from the second to eliminate y:
[tex]15x+9y=72\\- 7x+9y=42\\\rule{2.5cm}{0.4pt}\\8x=30[/tex]
Divide both sides by 8 to isolate x:
[tex]\displaystyle x=\frac{30}{8} \\\\x=3.75[/tex]
Therefore, one pound of jelly beans costs $3.75.
2) Solve for y using substitution
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
Now, we know that x=3.75. Plug this value into one of the equations and solve for y:
[tex]5x+3y=24\\5(3.75)+3y=24\\18.75+3y=24\\3y=24-18.75\\3y=5.25\\\\\displaystyley=\frac{5.25}{3} \\\\y=1.75[/tex]
Therefore, one pound of trail mix costs $1.75.
I hope this helps!