Answer:
The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters
The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters
The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters
Step-by-step explanation:
The percentage of acid in the first acid solution = 20%
The percentage of acid in the second acid solution = 40%
The percentage of acid in the third acid solution = 70%
The volume they want to use the three solutions to obtain a mixture of = 56 liters
The concentration of the mixture they want to obtain = 50%
The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included
Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture
Therefore, from the question parameters, we get;
x + y + z = 56...(1)
z = 2·y...(2)
0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)
Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;
10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280
2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168
2·y + 5·z = 168
From equation (2) and (4), we get;
2·y + 5·z = 2·y + 5×(2·y) = 168
12·y = 168
y = 168/12 = 14
The volume of the second acid solution in the mixture, y = 14 liters
From equation (2), we have;
z = 2·y
∴ z = 2 × 14 = 28
The volume of the third acid solution in the mixture, z = 28 liters
From equation (1), we get;
x + y + z = 56
x = 56 - (y + z)
∴ x = 56 - (14 + 28) = 14
The volume of the first acid solution in the mixture, x = 14 liters.
please help!!! it’s for geometry
Answer: disagree with both.
Step-by-step explanation:
I don’t have a good Explanation, but that is the correct answer.
Average attendance at a school’s basketball games increased from 1,000 to 1,500 last year. One student said that represented a 150% increase. Explain the student’s mistake. What is the actual percent increase?
Answer:
50%
Step-by-step explanation:
Since 1,000 is 100% of the attendance, 500 is half of 1,000 meaning it's 50%.
I think the student added 50% and 100%, they could have also divided 1,500 by 10.
The actual percent increase would be equal to 50 percent.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means). Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]
We have been given that the Average attendance at a school’s basketball games increased from 1,000 to 1,500 last year. a student said that represented a 150% increase.
Since 1,000 is 100% of the attendance, 500 is half of 1,000 which means that it's 50%.
The student added 50% and 100%, they could have also divided;
1,500 by 10
Therefore, the actual percent increase would be equal to 50 percent.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
Figure ABDC is similar to LMPN
Answer:
yes it is I but smaller in size
The bear population increases at a rate of 2% per year. There are
1573 bear this year. Write a function that models the bear population.
How many bears will there be in 10 yr?
Answer:
The answer would be P(x) = 1573*(1.02)^x
Question 12 (2 points)
Solve the system of equations using subsititution.
y = 2x - 3
y + 5 = 3x
Answer:
(2,1)
x = 2
y = 1
Explanation:
Check the image
Answer:
(2,1)
Step-by-step explanation:
Since we already have an equation for y, all we need to do is plug that into y in the other equation.
y + 5 = 3x
(2x - 3) + 5 = 3x
2x - 3 + 5 = 3x
2x + 2 = 3x
2 = x
Now that we know y, we just need to plug the value of x into the equation.
y = 2(2) - 3
= 4 - 3
= 1
Please can someone please help me answer this question
Don't put links
I rlly need it
Answer:
1.10231131
Step-by-step explanation:
20/3=2(w+2/3)
What’s the value of w
Answer: w=8/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20 /3 =2(w+ ( 2 /3 )
20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)
20 /3 =2w+ 4 /3
Step 2: Flip the equation.
2w+ 4 /3 = 20 /3
Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3
Divide both sides by 2: 2w/ 2 =16 3 /2
Answer w=8/3
Answer:
w=8/3
Step-by-step explanation:
Can someone answer this fast??
Answer:
(x, y) --( 3/2x, 3/2y)
Step-by-step explanation:
Elisa asked random customers at two different stores in Austin
Answer:
That does to make sense...
Maybe extend the question
When have you felt scared of someone you didn’t know? How did you overcome this
fear?
give me a fake story.
Answer:
the most I have ever felt fear of someone was ar a local gas station or my job lol but basically I was working behind the register and this couple comes in and looks pretty sus but I don't think much of it so I greet them and scan all their items and right as I bag their stuff, the wife literally takes the bag, swings it around, and knocks me out and then they run off with their stuff. So I was left there unconscious for about a hour before the next customer came and called the police. I haven't nessecarily gotten over that fear yet but I do have a glock now.
Find the percent change from the first value to the second 50;31
Answer:
-0.38%
Step-by-step explanation:
Divide 31 by 50. 31 / 50 = 0.62.
1 - 0.62 = 0.38
Since it is a decrease in change the percent change is negative.
-0.38%
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
11
16
Kiran’s mother gets a restaurant bill for $25.
She has a coupon for 15% off.
After the discount is applied, she adds 20% as a tip.
What is the total after the discount and tip? Explain or show your reasoning.
Answer:
$25.46
Step-by-step explanation:
Find the measure of AC
Answer:
7 inch
Step-by-step explanation:
AC= BC+AB
= (BD-CD) + radius of B
= (radius of B-radius of D) + 4.5
=(4.5-2) +4.5
=2.5+ 4.5
=7 inch
I hope this is correct.
Find the mean of the following data set
73, 81, 51, 76, 89, 95, 88
Answer:
[tex]mean = \frac{(73 + 81 + 51 + 76 + 89 + 95 + 88)}{7} \\ = 79[/tex]
Answer:
79
Step-by-step explanation:
What is mean? The mean is the same as an average. To find the mean, add all the letters together. Then, divide this sum by the total amount of numbers.
Step One: 73+ 81+51 +76+ 89+ 95+88= 553
Step Two: Divide by numbers, in this case, there are 7: 553/7= 79.
There you go!
Steve will roll a number cube, numbered 1-6, twice. What is the probability of rolling a number greater than 4, then
rolling an odd number?
Answer:
6/36 or 1/6
Step-by-step explanation:
To find the probability of rolling a number greater than 4, then rolling an odd number, you must multiply the probability of rolling numbers greater than 4 by the probability of rolling an odd number. In numbers 1-6, there are two number greater than 4: 5 and 6. The probability of an event is the specific factor over the total amount of results or objects. The probability of rolling a number higher than 4 is 2/6, or 1/3. In numbers 1-6, there are 3 odd numbers: 1, 3, and 5. The probability of rolling an odd number is 3/6, or 1/2. 3/6 times 2/6 is 6/36, and when simplified, it becomes 1/6.
What is the area for the triangle? Pls help!
Answer:
the area is 24cm squared
Step-by-step explanation:
A figure is shown.
What is the value of m?
___ degrees
Answer:
58°
Step-by-step explanation:
Good luck , hope it helped you :)
Answer:
58 degrees
Step-by-step explanation:
Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.
180-126=54
180-112=68
54+68=122
180-122=58
m=58 degrees
Hope this helps :)
What is 8/9 - 1/3? I can’t seem to figure out the answer
Answer:
Answer:
have a common denominator first,
9
8/9 - 3/9 = 5/9
1/3 x 3/3 = 3/9
what is the domain and range of:
y=(x+5)^2
Answer:
Domain : R
Range : [0,+∞)
find the value of x
−8(x−6)=32
Answer:
x = 2
Step-by-step explanation:
-8(x-6) = 32 (distribute)
-8x+48 = 32 (subtract 48 from both sides)
-8x = -16 (divide)
x = 2
Answer:
x = 2
Step-by-step explanation:
Divide both sides :
−8(x−6)=32
Divide both sides of the eqaution by -8 :
x - 6 = -4
Move the constant to the right :
x - 6 = -4
Move the constant to the right - hand side and change its sign :
x = -4 + 6
Calculate :
x = -4 + 6
Calculate the sum :
x = 2
Therefore, the answer is x = 2
Use the distributive property to simplify each expression.
(-5d + 1) (-2)
Answer: 10d-2
Step-by-step explanation:
Answer:
10d - 2
Step-by-step explanation:
Multiply each term inside parentheses by -2, separately:
10d - 2 (answer)
Someone help me please and no links!!!!! find the value of x
Answer:
x = 15
Step-by-step explanation:
37*2 = 74
360-74 = 286
286 = 2(9x + 8)
143 = 9x+8
135 = 9x
15 = x
The line plot below shows the lengths of bolts Mr. Slivka found in his drawer.
He needs 16 bolts that are longer than 1 inch for a project he is working on.
Does he have enough bolts for his project?
A line plot named
A.
Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough.
B.
Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough.
C.
No. There are only 3 bolts with lengths greater than 1 inch, which is not enough.
D.
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Answer:
D.)
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Step-by-step explanation:
Based on information provided by the dot plot above, we can deduce that the number of bta longer Than 1 inch are those with length ; 1 1/8, 1 3/8, 1 4/8
Counting the number of these bolts :
1 1/8 = 5 bolts
1 3/8 = 3 bolts
1 4/8 = 4 bolts
Hence, total number of bolts longer Than 1 inch :
(5 + 3 + 4). = 12 bolts
The number of bolts longer than 1 inch is 16. Therefore, he does not have enough bolt for the project.
Evaluate the expression 6x, if x = 3.
18
3
9
63
PLZZ HELP!!!! ASAP PLZ!!!!
XTRA POINTS!!!
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²
Please please ASAP ASAP please ASAP thank you so much please
No links or files please
Answer:
(0, 3)
Step-by-step explanation:
Y axis changes and x axis stays the same
Hep plsssssssss it due at 12
Answer:
14: slope is 20
15: 5
Step-by-step explanation:
I need help with this question
Answer:
100m^2
Step-by-step explanation:
square has equal sides.
To find the area of the square, the formula is:
Area= length times width
So for square ABCD, 10*10=100m^2
Select all names that apply to the number. The length of the side of a square that has an area of 77 square yards.
A real
B whole
C rational
D irrational
E integer
The length of the side would be sqrt(77) = 8.7749.....
This can be classified as two answers:
A and D
This is a real number
It is also an irrational number because it can’t we written as a simple fraction.