Answer:
The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
Step-by-step explanation:
Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:
70 x 1 + 25 x 0 = 70
70 x 0.9 + 25 x 0.1 = 65.5
70 x 0.8 + 25 x 0.2 = 61
70 x 0.7 + 25 x 0.3 = 56.5
Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.
70 x 0.75 + 25 x 0.25 = 58.75
70 x 0.76 + 25 x 0.24 = 59.2
70 x 0.77 + 25 x 0.23 = 59.65
70 x 0.78 + 25 x 0.22 = 60.1
Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.
70 x 0.778 + 25 x 0.222 = 60.01
Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
A rectangular building with a square base is being designed to minimize heat loss. The building designers state that the volume of the building must be exactly 4000 m^3. Write an equation for y, the height of the building, in terms of x, the length and width of the base.
Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²
I'm giving everything. The wrong answer will be reported,].
Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of x and show that it simplifies to 5x squared -23x+12=0
Step-by-step explanation:
12/x + 6/(x-1) = 5
12(x-1) + 6(x) = 5(x)(x-1)
18x - 12 = 5x² - 5x
5x² - 23x + 12 = 0. (Shown)
HELP! WILL GIVE BRANLIEST!
Answer:
44.71 kilometers
Step-by-step explanation:
Answer:
I would say 44.71 kilometers
Step-by-step explanation:
When you add all those values together you get 44.71.
3 x ?
= -12
Please help
Answer:
-4
Step-by-step explanation:
Positive times a negative equals a negative.
3 × 4 = 12 so 3 × -4 = -12
Answer:
-4
Step-by-step explanation:
Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?
Answer:
20 quarts
Step-by-step explanation:
Five gallons is equal to 20 quarts.
I hope it helps.
Answer:
20 quarts
Step-by-step explanation:
in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)
Several large bowls are containing various amounts of tangerines on a table. When 12 of the bowls each had 8 more tangerines added to them, the mean (average) number of tangerines per bowl increased by 6. How many bowls of tangerines are on the table?
Answer:
4
Step-by-step explanation:
SOMEONE PLEASEEEE HELLLPP
Answer:
80ft
Step-by-step explanation:
check gogle and write the awenser down
a sixth grade football team has 3 quarterbacks, 4 running backs and 5 wide receivers what is the ratio of wide receivers to the total
Answer: 5.5
Step-by-step explanation:
Ratio
noun
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Two workers win prize of £240, they share prize money in ratio of 3.5, how much does one get
Express scientific notation (9.6 × 10^3) × (6.7 × 10^3)
Answer:
i got 6432
Step-by-step explanation:
i just put it in to my calculator
please answer fast:(((
Answer:
5
Step-by-step explanation:
I would say 5 because it looks like an isosceles triangle and isosceles triangles have two equal legs on a triangle.
If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?
Answer:
30 markers
Step-by-step explanation:
We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!
Coach Crowell won 80% of the games he pitched. If he pitched 35 games, how many did he win?
Answer:
28
Step-by-step explanation:
Multiply 35 by .8
Answer:
If he pitched 35 games then he will win 28 of his games.
Step-by-step explanation:
You take 35 and multiply it by the percentage. But first make the percentage a decimal by moving the decimal two places to the right making it .8
Then you multiply and you have your answer!
Can someone please explain this to me and help me
Answer:
ok
Step-by-step explanation:
A car travels around a circular track of radius 1.5 miles. It traversed35of a complete revolution. Howfar did it travel?
Answer:
The total distance traveled by the car is 330 miles.
Step-by-step explanation:
The circular track is the circumference of circle with radius 1.5 miles.
Circumference of a circle = 2[tex]\pi[/tex]r
Thus,
Circumference of the track = 2 x [tex]\frac{22}{7}[/tex] x 1.5
= 9.4286571429
Circumference of the track = 9.4286571429 miles
But, one complete revolution by the car is the circumference of the track.
i.e One complete revolution round the track = 9.4286571429 miles
Therefore,
35 complete revolutions round the track = 35 x 9.4286571429 miles
= 330 miles
The total distance traveled by the car is 330 miles.
what is the answer please
Answer:
X=20
Step-by-step explanation:
I think
Find the slope of the line that passes through the pair of points.
4. (1,6), (6,-1
7
b.
7
C
7
Answer:
-7/5
Step-by-step explanation:
Please Help Me. I am so mad at this freaking problem
The scale on a map indicates that 1 inch corresponds to an actual distance of 115 miles . Two cities are 7.5 inches apart on the map . What is the actual distance between the two cities?
Can someone please help me with this question I don’t understand it. Thank you
Answer:
it is 862.5
Step-by-step explanation:
each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What value should be placed in the second column for the range 1 – 5?
A . 6
B . 5
C . 4
D . 3
HELP ASAP
I need help on this asap, I'm giving 39 POINTS and mark BRAINLIEST the question is on the pic! thankss
Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?
Answer:
1/8
Step-by-step explanation:
1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8
so 1/8 remains
what is the lenght of AB
Answer:
Uh I need more information to answer that.
Step-by-step explanation:
u only posted this: what is the lenght of AB. That isn't even how u spell length,
AB could be anything.
Given a normal distribution with a mean of 120 and a standard deviation of 12, what percentage of values is within the interval 96 to 144
Answer:
0.9545
Step-by-step explanation:
Given that :
Mean (m) = 120
Standard deviation (s) = 12
what percentage of values is within the interval 96 to 144
P(96 < x < 144)
P(x < 96)
obtain the standardized score (Z) :
Z = (x - m) / s
Z = (96 - 120) / 12 = - 2
p(Z < - 2) = 0.02275 ( Z probability calculator)
P(x < 144)
obtain the standardized score (Z) :
Z = (x - m) / s
Z = (144 - 120) / 12 = 2
p(Z < - 2) = 0.97725 ( Z probability calculator)
p(Z < - 2) - p(Z < 2) = 0.97725 - 0.02275 = 0.9545
7. Which transformation is not an isometry?
Explanation:
Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.
Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.
A glass of milk is moved from a refrigerator with a temperature of 6C to a room with a temperature of 25C. One minute later the milk has warmed to a temperature of 9C. Determine the temperature of the milk at time t. After how many minutes does the milk have a temperature that is 80% of the ambient temperature?
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Step-by-step explanation:
BRAINIST PLSS
How much ply wood is needed to make 12
cabinets each requires 5 m long?
Answer:
60 m worth?
Step-by-step explanation:
5×12
Help me please please
Answer:
Step-by-step explanation:
i have no idea what to do
how can you tell whether or not a figure is a scaled copy of another figure?
Answer:
If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.
Step-by-step explanation: