Answer:
(a) 2000 mL
(b) 70 mL, 30 mL
(c) No
Step-by-step explanation:
Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.
(a) Let x mL of Artesia is added to 500 mL of Borromeo to produce a 60% acid solution.
So, 70% of x + 20% of 500 = 60% of (x+500)
[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]
[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.
(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.
So, x+y=100\Rightarrow y= 100-x
And, 70% of x + 20% of y = 55% of (100)\\\\
[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]
[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.
and y= 100-x= 100-70=30 mL.
(c) Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.
And, 70% of x + 20% of y = 80% of (x+y)
[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]
As x and y are amount of Artesia and Borromeo, so x>0 and y>0
[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.
Ad the negative value of x/y is not so x/y=-6 is not possible, hence, any combination of Artesia and Borromeo that is 80% acid solution is not possible.
Need help ASAP ........
Answer:
3/4 or 3 quarters or 3 4ths
Can I get brainliest?
~Hope this helps!! Stay safe!~
Answer: I got 3/4? I hope it's correct T v T
Step-by-step explanation:
What are the stages of asthma? Which is worse?
Answer:
Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.
Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.
Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.
Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.
Step-by-step explanation:
Answer:
bop
Step-by-step explanation:
Explain why 173 degrees cannot be an interior angle from any regular polygon.
173 cannot be an interior angle of any regular polygon because the number of sides would be negative.
Why can't the interior angle of the polygon be 173 degrees?
The formula that can be used to determine one of the one interior angle of an n-sided polygon is [180(n−2)]/n .
In order to determine the value of n, take the following steps:
[180(n - 2) ]/ n = 173
Multiply both sides of the equation by n
180(n - 2) = 173n
Divide both sides by 180
n - 2 = 0.961111n
Combine similar terms
n - 0.96n = 2
0.038889n = 2
n = 51.4
To learn more about polygons, please check: https://brainly.com/question/17756657
HELP!!! please look at the photo attached, its really confusing me so even if you dont know the answer can you atleast give me tips on how to do it?
note: the rectangle is 4cmx11.5cm, scaled up it is 8mx23m
The area of the rectangle in meters = 8x 23 = 184 square meters.
The area of one board = 1.2 x 1 = 1.2 square meters
Total area of all the boards = 1.2 x 150 = 180 square meters.
180 is less than 184 so she does not have enough boards.
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
92 degrees
Step-by-step explanation:
<HEF and <AED are vertical angles.
scott gained a total of 72 yards in his team's first football game of the season what intenger represents the average number of yards scott gained each quarter?
Answer:
Scott gained 18 yards every quarter
Step-by-step explanation:
72 divided by 4 is equal to 18, so every 1/4 of a season he gained 18 yards.
How many is equivalent to 10/12
Answer:
10/12 =5/6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
I believ you meant what is the simplest version of that fraction and that would be 5/6. Both 10 and 12 are divisable by 2 and 5 can not be reduced
WILL MARK BRAINLIESTS
and go on my last question please!
Answer:
125*125
Step-by-step explanation:
A farmer collected 1,957 eggs from her chickens she puts them into a carton that each hold 48 eggs how many cartons will the farmer need to hold all of the eggs
Answer:
41 cartons will be needed
Step-by-step explanation:
here, we need to know the number of cartons the farmer needs to hold all the eggs
To calculate this, we simply make a division of the number of eggs by the number of eggs in a carton
That would be 1957/48 = 40.77
The closest number of cartons here is 41
Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!
Answer:
6<x<9Step-by-step explanation:
from the graph above the non linear paths are the curves on the Cartesian plain
on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9
Kayla is 9 years younger than Jay. The sum of their ages is 73. How old is Kayla?
Kayle is 27 Jay is 46
Answer:
63
Step-by-step explanation:
Just subtract.
How much should your average everyday coin weigh?
Answer:
About 0.080 ounces
A nickle weighs exactly 5.00 grams,
A cent weighs exactly 2.50 grams,
and so on...
What is the image point of (3, -3) after a translation left 3 units and up 4 units?.
Answer:
(0, 1)
Step-by-step explanation:
(x, y)
Left and Right movement deals with the x value
Up and Down movement deals with the y value
3 units left = -3
4 units up = +4
(x - 3, y + 4)
(3 - 3, -3 + 4)
(0, 1)
The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].
Determination of the coordinates of resulting point after translationGeometrically speaking, a translation is determined by following formula:
[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)
Where:
[tex]V(x,y)[/tex] - Original point[tex]T(x,y)[/tex] - Translation vector[tex]V'(x,y)[/tex] - Resulting pointIf we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:
[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]
[tex]V'(x,y) = (0, 1)[/tex]
The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]
To learn more on translations, we kindly invite to check this verified question: https://brainly.com/question/17485121
Is 46 a number in the sequence generated by 5n + 1
Answer:
231
Step-by-step explanation:
5.46+1
230+1
231
answer this?
Answer:
yes
Step-by-step explanation:
Equate 5n + 1 and 46 to find n, that is
5n + 1 = 46 ( subtract 1 from both sides )
5n = 45 ( divide both sides by 5 )
n = 9
Thus 46 is the ninth term in the sequence
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?
Answer:
319.68
Step-by-step explanation:
If the radius of the earth is approximately 3960 miles, what is the linear speed of a point on the equator in miles per hour. Round your answer to the nearest mph.
A. 1681 mph
B. 2073 mph
C. 840 mph
D. 1037
Pls show work
Answer:Section 6.1
Solutions and Hints
by Brent M. Dingle
for the book:
Precalculus, Mathematics for Calculus 4
th Edition
by James Stewart, Lothar Redlin and Saleem Watson.
If you remember nothing else from this section remember:
arc length = radius * angle
s = r * q
where the angle, q, is measured in radians.
There are other formulas, but that one is pretty important.
48. A circular arc of length 3 feet subtends a central angle of 25.
Find the radius of the circle.
Start with s = r*q , s = 3 feet, q = 25 = 25*(p/180) = (5/36)p radians
3 = r * (5/36)p Å 3*(36/5) = r*p Å 21.6 = p*r Å r = 21.6/p feet
52. Memphis, Tennessee and New Orleans Louisiana lie approximately on
the same meridian. Memphis has latitude 35 N and New Orleans 30 N.
Find the distance between the cities, given the radius of the earth is
3960 miles.
Again start with s = r*q,
with r = 3960 miles and q = 35 – 30 = 5 = 5*(p/180) = (1/36)p.
and we need to find s = arc length = distance between the cities.
s = 3960*(1/36)p = 110p miles.
60. A sector of a circle of radius 24 miles has an area of 288 square miles.
Find the central angle of the sector.
For this you need a new formula.
The area of a sector of circle = A = ½*r
2
*q ,
where q is the central angle of the sector measured in radians
and r of course is the radius of the circle.
For this problem r = 24 miles, A = 288 sq. miles and we need to find q.
288 = (½)*24
2
*q Å 288 = 288*q Å 1 radian = q (or about 57.3)
62. Three circles with radii 1, 2 and 3 feet are externally tangent to one
another. Find the area of the sector of the circle of radius 1 that is
cut off by the line segments joining the center of that circle to the
centers of the other two circles.
So you start out with:
Notice you know the length of ALL the sides of the triangle, because you know
the radius of each circle. From this you might discern that: 5
2
= 3
2
+ 4
2
. Thus you
have the (length of the hypotenuse)
2
= (length of side A)
2
+ (length of side B)
2
.
And from that you may conclude the triangle is a right triangle, or rather the angle
we are interested in is 90. Thus we use the area formula given in the text:
The area of a sector of circle = A = ½*r
2
*q ,
For this problem r = 1 foot, q = 90 = p/2, and we need to find A
A = ½ * 1
2
* p/2 = p/4 square feet.
Step-by-step explanation:
The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.
Given that, the radius of the earth is approximately 3960 miles.
What is the linear speed?Linear speed is the measure of the concrete distance travelled by a moving object. The speed with which an object moves in the linear path is termed linear speed. In easy words, it is the distance covered for a linear path in the given time. Linear Speed Formula is articulated as s=rθ/t.
Any point in the equator would complete a 360° or 2π, revolution in 24 hours. Therefore, the linear speed would be s=rθ/t.
where r is the radius of the Earth and θ is the angular distance (in rad) after time t
Hence, the linear speed would be
s= (3960×2π)/24
= (3960×2×3.14)/24
= 24868.8/24
= 1036.7
≈1037 mph
The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.
Learn more about the linear speed here:
https://brainly.com/question/13100116.
#SPJ2
Suppose 36 gallons of water came out of a pipe in 9 minutes what was the rate in gallons per minute?
Plz I'm sooooo confuzzled: If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?
Answer:
the answer is true
Step-by-step explanation:
If the shape is in the upper left quadrant then you reflect it across the x-axis it would be in the lower left quadrant, next you reflect across the y-axis it would be in the lower right quadrant, finally, if you rotate it 180 degrees it would be where it started.
Answer:
it's correct because even though rotating 90° is not the same as reflecting about the y-axis, when you reflect again about the x-axis, it becomes the same as reflecting an additional 90°.
so reflecting about y and then about x is the same as rotating 180°.
Step-by-step explanation:
if you reflect (x, y) in 180° it becomes (-x,-y)
when you reflect about the y-axis, (x,y) becomes (-x,y).
when you reflect again about the x-axis, (-x,y) becomes (-x,-y) which is the same as the 180°
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answer: B. Medium
Step-by-step explanation:
A.P.E.X
Answer:
A Medium
Step-by-step explanation:
AP. EX
NEED HELP ASAP!!!! please! 25 points!
Answer: 2-4= -2
Step-by-step explanation: hope it helps
Answer: (0 + 2) + ( 2 - 4)
Step-by-step explanation:
solve (2x + 3) - (9x - 3)
Answer:
-7x + 6
Step-by-step explanation:
Is this any better for you guys
Answer:
According to the pattern, Samuel will swim 64 laps on Monday.
The pattern rule: Start at 88 and subtract 8 each time.
Explanation:
There is a clear pattern. 88 - 80 - 72. The number 8 is subtracted each time day after day. Since he is doing 8 laps less each day, it can be assumed that we subtract 8 from Sunday, which is 72.
72 - 8 = 64
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as 'Brainliest.' It would really help. Have a great day! :)
Answer:
64 Laps
Step-by-step explanation:
It looks like the Samuel swam 8 less laps than the previous day.
88 - 8 = 80
80 - 8 = 72
So, we sohuld subtract 8 from 72.
72 - 8 = 64
Samuel should swim 64 laps on Monday.
Hope this helps!
what is 411, 600, 000 in scientific notation
Answer:
4.116 × 108
Step-by-step explanation:
I simply used a Scientific Notation Converter
Answer:
The answer would be 4.116 x 10 exponent of 8
Step-by-step explanation:
In scientific notation, the answer has to be between 1-10, so to make this number between one and ten, you must create a decimal behind the number in the one's place and move it until you get to the first number (in this case, you would move it eight times, so your equation would be 4.116 x 10 to the eight power (exponent of eight). If you need to round the number to the tenth place, it's 4.1 x 10^8
Hope this helps!
can you simplify the fraction 4/-3 any more
Answer:
No
Step-by-step explanation:
you can't simplify it anymore no matter how low of a number you simplify it by
what points are solutions to the linear equality graph? Select all that apply.
A. (0,0)
B. (-1,2)
C. (-3,0)
D. (3,0)
E. (-4,-1)
F. (2,2)
Find the slope of the line that passes through the points 2,4,6 and 12
Answer:
The slope is 2.
Step-by-step explanation:
If you use the formula that is shown in the picture, you can calculate that 12-4/6-2 is the slope. If you simplify, you'll get that 8/4 is the slope which simplifies to 2.
I need the answer now!!!!
(3c2 + 2d)(–5c2 + d)
Select all of the partial products for the multiplication problem above.
2d2
3cd3
–15c4
–10c2 d
–15c2
3c2 d
Answer:
A C D F
Step-by-step explanation:
edg 2020
For g(x) = 12x – 2, evaluate g (1/4)
Replace x with 1/4 and solve:
12(1/4) - 2
3-2 =1
The answer is 1
Answer:
the answer is 1
Step-by-step explanation:
g(1/4)=12(1/4)-2
=12/4-2
=3-2
=1
Pleaseeee help.
Will give extra points.
Brainliest to the one that explains well.
Find the equation of the circle with center (0,-6) and tangent to the x-axis.
1)What value for y makes the equation 2(y-4)+8=12+y true?
A. -6
B. 12
C. 6
D. 8
2)Which number below does not satisfy the given inequality: -4x - 6 > -14?
A. -4
B. -2
C. 0
D. 2
Answer:
1. Option B- y=12
2. Option D - 2
Step-by-step explanation:
1. 2(y - 4) + 8 = 12 + y
2y - 8 + 8 = 12 + y
add like terms -8 + 8 is 0 so
2y = 12 + y
Subtract y
1y = 12
Divide by 1
y= 12
2. -4(2) - 6 > -14
-8 - 6 > -14
-14 > -14
This is not true because -14 is not greater than -14, they are equal.
Hope this helps.
