Answer:
a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Step-by-step explanation:
The given parameters are;
The initial volume of strong bleach solution in the nappies = 1/2 Liters
The volume of water first used to rinse = 12 liters
The volume of water used in the second rinse = 8 liters
Therefore, we have;
The total volume of the water and the concentrated bleach in the first rinse = 1/2 + 12 = 12.5 Liters
The new concentration of the bleach in the first rinse water = (1/2 strong bleach)/12.5 L = (1/2 strong bleach)/25/2 L = 1/2×2/25 = 1/25 strong bleach/L
The volume of the first rinse introduced in the second rinse = 1/2 Liters
The concentration of the bleach introduced in the second rinse = The new concentration of the bleach in the first rinse water = 1/25 strong bleach/L
The volume of water added in the second rinse = 8 liters
The total volume of the water and the bleach in the second rinse = (8 + 1/2) liters = 8.5 liters
The concentration of bleach in the second rinse = (The concentration of the bleach introduced in the second rinse × (Volume of bleach solution introduced in the second rinse))/(The total volume of the water and the bleach in the second rinse)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(8.5 Liters)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(17/2 Liters) = 1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The the quantity of water in the first rinse = x
The amount of water in the second rinse = 20 - x
The concentration of bleach in the first rinse = 1/2/(x + 1/2) = 1/(2·x + 1)
The concentration introduced in the second rinse = 1/2 × 1/(2·x + 1) = 1/(4·x + 2)
The total volume of water and bleach introduced in the second rinse = (20 - x + 1/2) = 20.5 - x
The concentration of bleach in the second rinse = 1/(4·x + 2)/(20.5 - x)
The minimum value for the concentration can be found from taking the derivative of the function for the concentration and equation to zero as follows;
[tex]\dfrac{\mathrm{d} \dfrac{1}{\left ( 4\cdot x + 2 \right )\cdot \left ( 20.5 - x \right )}}{\mathrm{d} x} = \dfrac{2\cdot \left ( x - 10 \right )}{\left ( 2\cdot x + 1 \right )^{2}\cdot \left ( 20.5 - x \right )^{2}} = 0[/tex]
2·(x - 10) = 0
x = 0/2 + 10 = 10
x = 10
The the quantity of water in the first rinse = x = 10 liters
The the quantity of water in the first rinse = 10 liters
The amount of water in the second rinse = 20 - x = 20 - x = 20 - 10 = 10 liters
The amount of water in the second rinse = 10 liters
The water should be divided into two quantities of 10 liters each
Therefore, the water should be divided into two quantities of 10 liters each to give a final bleach solution concentration of 1/(4·x + 2)/(20.5 - x) = 1/(4×10 + 2)/(20.5 - 10) = 1/42 × 1/10.5 = 1/441 concentration/liter.
Answer: a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
write an equation of a line passing through point p(-2, 6) that is parallel to the line x= -5
Answer:
x= -2
Step-by-step explanation:
x = -5 is a vertical line, so a line parallel would also have to be a vertical line
It goes through the point ( -2,6)
The x coordinate -2
So a line parallel would be x= -2
Answer:
x= -2
Step-by-step explanation:
Luke is a dog walker. He gets $10 per day for walking his neighbor's dogs. He recently snapped his surfboard and wants to buy a used surfboard for $325. If he has $142 in the bank, how many days will he have to walk the dogs to earn enough for the board?
Answer:
10$
Step-by-step explanation:
two solutions to the inequality p ≤ 16.
Answer:
The inequality says p is equal to 16 and less than 16.
So from under 16 (even negative), you can give a solution.
Examples: -3; 2
Hope this helps!
Donte simplified the expression below. 4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i. What mistake did Donte make?
Answer:
He didn't expand properly.
This part: 4(1 + 3i)
Step-by-step explanation:
4(1 + 3i) - (8 - 5i)
Expand:
4 + 12i - 8 + 5i
-4 + 17i
Answer:
A on edge2020
Step-by-step explanation:
did the test
Given the points: (-2, 0) and (4,8) find the slope
Answer:
1&1/3
Step-by-step explanation:
(y2 - y1) / (x2 - x1)
(8 - 0) / (4 +2)
8/6
1 1/3
Hi if you can answer this i'll mark u brainllest and give you MORE points
What are three equivalent decimals for the number -4.2323?
Answer:
-4.23230, -4.232300, -4.2323000
Answer:
1) -4.23230 2)-4.232300 3)-4.2323000
Step-by-step explanation:
Where is my brainliest and my points :)
Choose the correct written expression for: (9 x 4) divided by 6.
Options:
he quotient of 9 and 4 times 6
divided by the product of 9 and 4
the product of 9 and 4 divided by 6
9 times 4 divided by 6
Answer:
the product of 9 and 4 divided by 6
Lauren's vet commented that her puppy gained 10% in weight since the first visit. Write an expression that could be evaluated to show the puppy's current weight. Use a variable to represent the weight of the puppy at the first visit. Write the expression in simplified form. If the puppy gains another 10% in weight from the current visit to a future visit, how much will the puppy weigh? Write an expression that could be evaluated to show the puppy's future weight. Write the expression in simplified form.
Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x
Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x
Step-by-step explanation:
Let x= Puppy's weight in the first visit.
If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)
= x+ 0.1x
i.e. expression to show puppy's current weight = x+ 0.1x
In simplified form it will be
x+ 0.1x = x(1+0.1)
=x(1.1)
=1.1 x (simplified form )
If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)
= 1.1x+10% of 1.1x
= 1.1x + 0.1(1.1x)
Expression that for puppy's future weight= 1.1x + 0.1(1.1x)
= 1.1x(1+0.1)
= 1.1x(1.1)
=(1.1)²x
= 1.21x (simplified form)
Raza works at a flea market selling sunglasses. He is paid $7.50/h plus a 75¢ commission for every pair of sunglasses he sells.
Write an equation to model Raza’s earnings. (1 mark)
Find Raza’s earnings if he sells 25 pairs of sunglasses during a 6-h shift. (2 marks)
How many pairs of sunglasses must he sell to earn $90 in 8 h? (2 marks)
Answer:
7.50h+0.75s 63.75 30
Step-by-step explanation:
7.50 x how many hours + 0.75 x how many sunglasses he sold
7.50 x 6 + 0.75 x 25= 63.75
7.50x8= 60 0.75x40=30 60+30=90
Please help it’s graded and I just don’t want to fail
Answer:
630/49
Step-by-step explanation:
· Evaluate f(2a + b), where f(x) = 4x2 – 3x.
Answer:
2af+bf = 2af+bf
Step-by-step explanation
f(x) = 4x2 – 3x. = x(4x−3)
The point (3,5) has been translated three right and three down. What are
the coordinates of the image?
Answer:
If you mean the coordinates of the point, then its coordinates will be (6,2)
Step-by-step explanation:
Add 3 to your x-value (3 right), and subtract 3 from your y-value (3 down). You will then get (6,2). Hope this helped :D
The coordinate of the new point will be (6, 2).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
Point (3,5) has been translated as three right and three down.
Add 3 in the abscissa and subtract 3 from the ordinate. Then the transformation is given as,
(x, y) ⇒ (3 + 3, 5 - 3)
(x, y) ⇒ (6, 2)
The coordinate of the new point will be (6, 2).
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
If you can finish this sentence and get it right you be brainliest
"I can show you the _____ shining, shimmering, splendid"
Answer:
world
Step-by-step explanation:
Answer:
world
Step-by-step explanation:
"I can show you the world shining, shimmering, splendid"
simplify into one fraction (thanks in advance)
[tex] \frac{2}{p + 3} - \frac{5p}{2p - 2} [/tex]
Answer:
2-5p
1-p
Step-by-step explanation:
put the whole equation into one one fraction. then you simplify. first do the bottom
1. first do 3-2=1
2. then the variable numbers i forget the fancy term
p-2p = -p
3. add together 1 - p
then do the top
its the same thing so then you put the new fraction together
4. 2-5p
1-p
I forget if there's anymore steps but I hope this helps
PLEASE ANSWER QUICK leggings are 54.95 they are 30% off how much are they?
Answer:
$38.47
Step-by-step explanation:
i did the math on it
Round 0.00208815 to 3 significant figures
How do you write -4.50 as a mixed number
Answer:
-9/2
Step-by-step explanation:
A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybrid car can travel 33 miles per gallon of gasoline, how far can the hybrid travel on 4/5 gallon of gasoline?
Answer:
On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.
Step-by-step explanation:
Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline
then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline
Given that, non hybrid car travel, x = 33 miles per gallon
Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon
On 1 gallon of gasoline hybrid car travel= 45 miles
On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles
On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.
Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3
3*a*2*b what is the answer
Answer
3*a*2*b equals 6ab
what is coefficient of x in Y^2x+y
Answer:
Coefficient of x, in this case, is '2'
a point is ____
•imaginary
•real
Answer:
a point Is an imaginary line
Answer:
imaginary
Step-by-step explanation:
asking questions is super in this education life
when solving the equation x3 = 22.
Answer:
x=7 1/3
Step-by-step explanation:
Solve and prove the solution for the equation -2(1-4x)=3x+8.
Answer:
x=2
Step-by-step explanation:
-2(1-4x)=3x+8
-2*1 and -2*-4x
-2+8x=3x+8
+2 -3 -3 +2
5x=10
/5. /5
x=2
Jose paid 47.00 for 4 movie tickets. Each ticket costs the same amount.what was the cost of each movie ticket in dollars and cents
Answer:
$11.75
Step-by-step explanation:
In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75
Which graph is correct for the given equation: Y=-1/4x-4?
Answer:
c
Step-by-step explanation:
i believe it's hard to see the graph
Objects that are in the same plane are called _______________ . *
Answer:
black lines....I think
look at image..........................
Answer:
8p+25b
Step-by-step explanation:
Answer:
8p+25b
Step-by-step explanation:
You dont know how many of each he bought so you use the variables. so, p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)
Which fraction is equivalent to 7/8 ?
A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.
Answer: The cost will be same for 6 hours.
Step-by-step explanation:
Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.
Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.
Let x = Number of hours
y = Total cost
Then, Total cost (in $) for first company (y) = 22+3x
Total cost (in $) for second company (y) = 17.50+3.75x
So required system of equations :
y = 22+3x
y= 17.50+3.75x
When the cost will be the same,
22+3x = 17.50+3.75x
⇒ 3x - 3.75x = 17.50- 22
⇒ - 0.75x = -4.5
⇒ x =6 [Divide both sides by -0.75]
Hence, the cost will be same for 6 hours.