A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?
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.
How many whole numbers are there with not more than 4 digits IF YOU PUT A LINK OR UNHELPFUL ANSWER I WILL REPORT I WILL GIVE BRAINLIEST
Answer:
There are 9,999 positive whole numbers with 4 or less digits or less and one whole number which is neither positive nor negative.
This gives us 9,999+9,999+1 or 19,999 , whole numbers composed of 4 digits or less.
a cube has edges measuring 5 inches. Find the surface area of the cube.
What shape is this figure?
A cylinder.
cylinder
sphere
cone
pyramid
Answer:
Cylinder
Step-by-step explanation:
The shape of this figure is cylinder.
Answer:
a cylinder
Step-by-step explanation:
tis not sphere, cone, or pyramid :)
An animal shelter has 44 dogs and 54 cats. Then, 13 of these animals get placed in
new homes. How many animals are left at the shelter?
Answer:
44+54= 98
98-13=85
Step-by-step explanation:
Answer:
85 animals are left.
Step-by-step explanation:
44 + 54 = 98.
98 - 13 = 85.
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
answer this qustion plz and if get right i might give you brainlist
Answer:
A
Step-by-step explanation:
SO right off the bat it cannot be c, for they do definatly change.
Next, lets find out how much they change by.
The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.
This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.
Now, the mean is already 500/4. This equals 125.
So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.
That is 500/5. This equals 100.
This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25
That is 5x more of a decrease than the mean.
SO it must be A, since the mean decreased more than the median.
Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
that the number of books she has read will always be at least 7 greater than the number of months since she
started reading.
Determine a whole number of books and a whole number of months that show Kayla's claim is incorrect.
Enter the number of books in the first response box.
Enter the number of months in the second response box.
Answer:
28 books and 14 months
Step-by-step explanation:
Because 28 is greater then 14 by 14 not 7
plssssss help
10-5?????
Answer:
2220
Step-by-step explanation:
5 thanks
Answer:
5
Step-by-step explanation:
yes
If steak costs $12.55 per pound, what will be the total cost of 0.6 pounds of steak?\
Answer:
Solve for X; whereas lb=pound, $=cost
1lb = $12.55
0.6lb = $X; therefore 6/10 lb = $X
Rewrite:
$12.55/1 lb = $X/6/10 lb; therefore $12.55/1 lb = 10/6(X); 10X=$12.55(6); 10X=$75.30; X=$75.30/10
X=$7.53 for .6 lbs.
Answer:
7.53
Step-by-step explanation:
Ditch Digging Problem Doug Upp can dig a ditch in 3 hours. His
brother Phil could dig the same ditch in 5 hours. How long would it take to dig the ditch if both work together?
Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
Answer:
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = 1 _ _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20
Grant has 6 red socks, 4 blue socks, 8
green socks, and 2 yellow socks in a
drawer. He will randomly select two socks
from the drawer one at a time without
replacement. What is the probability that
Grant will select a blue sock and then a
green sock?
F
25
50
95
95
The probability that Grant will select a blue sock and then a green sock = [tex]\frac{8}{95}[/tex].
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
The probability that Grant will select a blue sock and a green sock =
= Probability of choosing a blue sock * Probability of choosing a green sock out of the remaining socks
= [tex]\frac{Number\ of\ blue\ socks}{Total\ number\ of\ socks} * \frac{Number\ of\ green\ socks\ out\ of\ remaining\ socks }{Total\ number\ of\ remaining\ socks}[/tex]
= [tex]\frac{4}{20} * \frac{8}{19} = \frac{8}{95}[/tex]
Learn more about probability here
https://brainly.com/question/11234923
#SPJ2
Pls help !!!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
Seventy-five 6th grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade? *
Answer:
300 students in total
Step-by-step explanation:
25% out of 300 is 75
300 - 75 (25%) = 225
25% (75) + 75% (225) = 100% (300)
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
300
Step-by-step explanation:
What is the combined weight of all the kittens
Answer:
[tex]5[/tex]
Step-by-step explanation:
3/4+12/8+3/2+10/8=5
Beth filled 64 bottles of water. If each bottle holds 1 pint of paint, how many gallons of water does Beth have?
Answer:
8 gallons
Step-by-step explanation:
To answer this question :
convert pint to gallons multiply the value gotten in the above step by the total number of bottles1 PINT = 0.125 Gallons
1 x 0.125 = 0.125
total gallons of water = 64 x 0.125 = 8 gallons
what 1 +1x5-5x9 i really need to know this by the next second
Answer: -39
Step-by-step explanation:
Hope this helps.
Is 0.999 repeating equal to 1? Please explain
Answer:
It is not equal to 1
Step-by-step explanation:
It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look
0.999...... every 9 get's smaller and smaller in value
like 0.9 is bigger then 0.09 and that is bigger then 0.009
so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1
A developer wants to divide an 84 acre parcel of land into lots in the ratio 6:2:4. How many acres are each land division. WILL AWARD BRAINLIEST.
Answer:
42 acres, 14 acres, 28 acres
Please help giving brainliest for the correct answer
Answer:
6 SQUARE CENTIMETERS
Step-by-step explanation:
It's pretty easy you just add it
but with different shapes you can multiply but fo this its 6
Brainliest if im right!
Answer:
6 square centimeters AKA C
Step-by-step explanation: I took the test
Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she need to make the dress
Answer:
2 11/12
Step-by-step explanation:
(1/3)×(35/4=35/12=2 11/12 yards
Find the slope, or rate of change, from the following tables:
Please help me
Fill in the table for this input-output rule:
4
divide by 2
and add 1
input
3.
output
0
2.
-8
100
Answer:
1, 2, -3, 51
Step-by-step explanation:
0 ÷ 2 = 0, then + 1 = 1
2 ÷ 2 = 1, then + 1 = 2
-8 ÷ 2 = -4, then + 1 = -3
100 ÷ 2 = 50, then + 1 = 51
explain why we need to always balance algebraic equations.
Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579
Answer:
97542
Step-by-step explanation:
Write all the numbers in descending order
hope it helps
Answer: 97542
Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number
Number 1 please if you can explain work
Answer:
Triangle DEF is similar the XYZ
Step-by-step explanation:
Because if you divide 10 by 18, you get 0.555555...
If you divide 14 by 25.2, you get 0.5555555.....
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
He can purchase the computer now using his his debit card.
He can put more money in his bank account and use his debit card to purchase the computer at a later date.
He can buy the computer using cash once he has saved enough money.
He can purchase the computer now using his his credit card.
Answer:
A is wrong. A debit card uses the money you have.