Answer:
The present percentage of pure alcohol in the solution is 72.25% of pure alcohol
Step-by-step explanation:
The volume of pure alcohol poured from the 2 l bottle of pure alcohol = 300 ml of pure alcohol
The volume of water added into the bottle after pouring out the pure alcohol = 300 ml of water
The volume of diluted alcohol poured out of the bottle = 300 ml of diluted alcohol
The volume of water added into the bottle of diluted alcohol after pouring out the 300 ml of diluted alcohol = 300 ml of water
Step 1
After pouring the 300 ml of pure alcohol and adding 300 ml of water to the bottle, the percentage concentration, C%₁ is given as follows;
C%₁ = (Volume of pure alcohol)/(Total volume of the solution) × 100
The volume of pure alcohol in the bottle = 2 l - 300 ml = 1,700 ml
The total volume of the solution = The volume of pure alcohol in the bottle + The volume of water added = 1,700 ml + 300 ml = 2,000 ml = 2 l
∴ C%₁ = (1,700 ml)/(2,000 ml) × 100 = 85% percent alcohol
Step 2
After pouring out 300 ml diluted alcohol from the 2,000 ml, 85% alcohol and adding 300 ml of water, we have;
Volume of 85% alcohol = 2,000 ml - 300 ml = 1,700 ml
The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol = 85/100 × 1,700 = 1,445 ml
The total volume of the diluted solution = The volume of the 85% alcohol in the solution + The volume of water added
∴ The total volume of the twice diluted solution = 1,700 ml + 300 ml = 2,000 ml
The present percentage of pure alcohol in the solution, C%₂ = (The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol)/(The total volume of the diluted solution) × 100
∴ C%₂ = (1,445 ml)/(2,000 ml) × 100 = 72.25 %
The present percentage of pure alcohol in the solution, C%₂ = 72.25%
Help fast please. I will give brainliest.
Answer:
Q5 ) A 80 UNITS²
pls give me brainliest
How tall is the bullding in the picture shown?
66 in.
36 ft
8 ft
4.36 ft
52.36 ft
24.75 ft
297 ft
Answer:
24.75FT
Step-by-step explanation:
The triangles in the picture are similar meaning that 36/8=4.5
66inches into ft = 3.5
3.5x4.5=24.75
Answer: C. 24.75 ft
Step-by-step explanation:
• Set up the proportion.
• Cross multiply.
• Complete the multiplication on the left side.
• Divide both sides by 100.
• Complete the divisions on both sides.
Classify the triangle 3 8 12
help please!! :( this is very confusing
Answer:
48
Step-by-step explanation:
E is the midpoint so ED=2BD
Answer:
ED=48
Step-by-step explanation:
ED=1/2 BD
ED=48
what will A scale factor that is less than one produce
Answer:
When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.
Step-by-step explanation:
:)
Но
How much does each bead necklace cost?
You can buy a 35-pound box of beads for $43.95.
A 35-pound box of beads contains 30 bags of 12
necklaces each.
Step 1: How many necklaces are in a box?
B, the correct answer is B
Given f(x) = -4x and g(x) = -5x - 8, find g(f(6-2m²))
9514 1404 393
Answer:
-40m² +112
Step-by-step explanation:
g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)
= -5(8m² -24) -8 = -40m² +120 -8
g(f(6-2m²)) = -40m² +112
Which graph represents this system?
Y=3
X+ y = 4
Answer:
Step-by-step explanation:
can someone answer this for me please and thank you !!
Answer:
gfcdxgstez5xdyrfctugv-
_=+86545
Step-b57645745y-step explanation:
uygtf57d4ftv
While walking past a flag pole, Tommy looked down and noticed his shadow. Use the diagram below to
find the length of his shadow.
PLS HELP
Answer: 30ft
Step-by-step explanation:
HELP ASAP I will mark brainliest Emmy is flying a drone in a field near her house. She placed the drone on the ground and used the controls to make it rise at a constant rate. Then, she kept the drone at the same altitude for a few minutes before bringing it back down to the ground at a constant rate. Which graph shows the drone's altitude over time ?
Answer:
It is the one on the bottom right
Step-by-step explanation:
First of all, we have to start at (0,0), so we can cross out the one on the top left and top right, as they does not.
Also, the one on the bottom right does not go back to the ground, though just stays in the air, but the one on the bottom right dows go back to the ground.
So, its the one on the bottom right
Enola surveyed 300 of the students in her school about their favorite color. 78 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
26%
Step-by-step explanation:
I did some simple math here: a percentage represents a number over 100.
To find the percentage, I just divided 78 by 300 and got 0.26
I then multiplied by 100 to get 26%
Hope this helps! Have a great day!
A line that includes the point (10,7) has a slope of 1. What is it's equation in slope-intercept form?
What is the line of reflection for the trapezoids?
On a coordinate plane, trapezoid A B C D has points (5, 4), (6, 4), (8, 3) and (5, 3). Trapezoid A prime B prime C prime D prime has points (1, 4), (0, 4), (negative 2, 3), (1, 3).
Answer:I believe it’s A(x=3)
Step-by-step explanation:
Darius is putting tiles on the roof of his house. After working for 3 1/3 hours, he has completed 4/5 of the roof. Can Darius put the titles on the enitre roof in 4 hours if he continues to work at the same rate?
Answer:
No.
Step-by-step explanation:
It is given that Darius is putting tiles on the roof of his house.
Darius had completed = [tex]$\frac{4}{5}$[/tex] th of the work
He takes time = [tex]$3 \frac{1}{3}$[/tex] hours to complete [tex]$\frac{4}{5}$[/tex] th of the work
The remaining work = [tex]$1 -\frac{4}{5}$[/tex]
[tex]$=\frac{5-4}{5}$[/tex]
[tex]$=\frac{1}{5}$[/tex]
∴ Darius completes [tex]$\frac{4}{5}$[/tex] th of the work in = [tex]$\frac{10}{3}$[/tex] hours
So, [tex]$\frac{1}{5}$[/tex] th of the work in = [tex]$\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$[/tex] hours
[tex]$=\frac{10}{12}$[/tex] hours
Therefore total time taken to complete the work [tex]$=\frac{10}{3}+\frac{10}{12}$[/tex] hours
[tex]$=\frac{40+10}{12}$[/tex] hours
[tex]$=\frac{50}{12}$[/tex] hours
[tex]$=4\frac{2}{12}$[/tex] hours
[tex]$=4\frac{1}{6}$[/tex] hours
Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.
i need help ASAP 6th grade work!!!!! HELP
Answer:
y=7miles
Step-by-step explanation:
The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.
We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.
21-14=7miles
Answer:
y=7 mi
Step-by-step explanation:
If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7
The product of two consecutive positive integers is 56. Find the two integers
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
Using the figure below, identify the sum of the angles. Then identify the measurement of the missing angles.
Answer:
x = 135
Step-by-step explanation:
The angles at the bottom are right angles (90°)
The sum of interior angles in this rectangle is equal to 720°
Find the sum of interior angles
4x + 180 = 720 subtract 180 from both sides
4x = 540 divide both sides by 4
x = 135 this is also giving us the measure of missing angles.
The graph shows a function. Is the function linker or non linear?
Answer:
It is linear since it is a straight line.
what is the answer to 4 - (-4)
Find an ordered pair (x, y) that is a solution to the equation. x-3y = 6
Answer:
(0, -2)
(6, 0)
Step-by-step explanation:
pick a value for 'x', plug it into the equation, then solve for 'y'
pick a value for 'y', plug it into the equation, then solve for 'x'
t/27 = 36 algebra, I'm stuck on this and can't figure it out
Answer:
972
Step-by-step explanation:
t/27=36
t=36*27
t=972
Answer:
t=972
Step-by-step explanation:
t = 27 x 36
t = 972
Check:
972/27 = 36
Check!
Hope that helps!
8(1 + 7x) - x = -40 + 7x
PLZZZ HELP!!!
Answer:
use photomath ok my guy and good job
PLEASE HELP
7x+3y=20 and -4x-6y=11 find the value of 3x-3y
Answer:
im pretty sure the answer is A 6
Step-by-step explanation:
please please help! i just answered a few questions just to post this im using all my points.
Answer:
Step-by-step explanation:
∠RST=180-44-15
=121°
In ΔRST and ΔLMN,
∠RST=∠LMN (proven)
∠TRS=∠NLM (given)
∴ΔRST ~ ΔLMN (AA)
Answer:
Yes
Step-by-step explanation:
If all the angles in the triangles are the same, then the triangles are similar.
ΔSRT: The angles in a triangle add up to 180. 44+15+x=180, x=121
ΔLMN: The angles in a triangle add up to 180. 44+121+x=180, x=15
Both triangles share the same angles (44,15 and 121), so they are similar.
Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?
No solutions
Infinite solutions
(32)
(9,2)
Find the slope/
please help me
х
y
Rise =
6
-3
Run =
0
1
0 -3
3
3
m =
-6
5
Use this to answer
Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run
Identify these foil solutions by using the screenshots below!
Hope it helps and is correct!
What is the rate of change of the proportion y=9x
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The rate of change of the proportion y = 9x is 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
y = 4x +2 is an equation.
x + 2x + 3 = 4 is an equation.
We have,
y = 9x
The rate of change of this equation can be calculated by finding its differentiation.
Now,
y = 9x
Differentiating with respect to x we get,
dy/dx = 9dx/dx
dy/dx = 9
Thus,
The rate of change of the proportion y = 9x is 9.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?
Answer:
Espero que isto ajude!
Step-by-step explanation:
q duplica logo a razão q =2
1 hora = 60 minutos
4 hs * 60 min = 240 minutos ou 240 : 6 = 40 vezes 6 minutos
Nota > 240 minutos tem 40 * 6 minutos
n = 40
a1 = 6 min = 3
a2 = 12 min = 3 * 2 = 6
q3 = 18 min = 6 *2 =12
an = a1 * q^n-1
a40 = 3 * 2^40-1
a40 = 3 * 2^39
a40 = 3 * 5497559 =16492677 >>>>>
