Answers
Hello,
(i) Express n as the subject.
[tex]C=\frac{nA}{n+12}[/tex]
[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]
(ii)
Since C = 6 mL and n = 8 we need to solve this equation of unknown A :
[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]
Thus, the equivalent adult dosage A would be 15 mL
(iii) I let you think about this one
Good Luck
Related Questions
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Answers
Answer:
A is the best answer to give
BRAINLIST ???
Answer:
C a line that shows the set of all solutions to the equation
Step-by-step explanation:
y = -4x+7 is the slope intercept form of a line
The slope is -4 and the y intercept is 7
GIVING BRAINLIST!! PLS ANSWER
Trina is buying 12 shirts for the drama club.She will choose a style for the blank shirts and then pay additional charge of $2.75 for each shirt to have the club logo. If Trina cannot spend more than $99, how much can she spend on each blank shirt? Write and solve an inequality to find the possible cost of each blank shirt.
Answers
Answer:
The most she can spend on each blank shirt is $5.50.
Step-by-step explanation:
In order to set up the inequality, we need to write an expression for the total cost of each shirt wherein the price of each blank shirt is "x". Tina needs to buy 12 shirts and there is an additional charge of $2.75 for each logo. The total cost needs to be less than or equal to $99.
This gives us 12 * (x + 2.75) ≤ 99
We can then distribute:
12x + 12 * 2.75 ≤ 99
12x + 33 ≤ 99
Then subtract 33 from both sides:
12x ≤ 66
And finally divide by 12 on both sides:
x ≤ 5.5
Answer:
Step-by-step explanation:
12x + 2.75*12 < 99 Combine 12 * 2.75
12x + 33 < 99 Subtract 33 from both sides
12x < 99 - 33 Combine
12x <66 Dive by 12
x < 66/12
x < 5.50
The very most she can spend is 5.50 on each shirt. Actually it should be 5.49 which will be less than 99. It will come to 65.88 which is just 12 cents less than 99, but it answers the problem. The problem does not use less than or equal which would mean that 99 is the answer ≤
will give brainliest
f(x) = 2x - 4
g(x) = 4x + 5
Find (fºg)(x)
Answers
20% tip on a bill of $22.41
Answers
Answer:
5 people - Tip per person = $0.90
Total per person = $5.39
10 people - Tip per person = Tip per person $0.45
Total per person = $2.70
Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49
What is the name of a bank account that allows you to access your funds in the bank?
Answers
Answer:
A checking account
Step-by-step explanation:
It's called a checking account
1) 6 hats cost $67.50
What's the cost per hat?
Answers
Answer:
11.25
Step-by-step explanation:
I divided 67.50 by 6 and it got me the answer 11.25
The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.
Answers
Answer:
Step-by-step explanation:
Area = x² - 80x + 1500
= x² -30x - 50x + 1500
= x(x - 30) - 50(x - 30)
= (x -30) (x - 50)
Length =(x -50) ft
Heyyyyy please help me do this question
Answers
Answer:
5/12
Step-by-step explanation:
convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer
Since 1/3 of them dropped out, 2/3 are still in the race. 2/3 of 84 is 56.
For the second part, 1/4 of them dropped out, meaning 3/4 of the REMAINING runners are still in. 3/4 of 56 is 42.
A flight from Boston to London only took 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
Answers
If the flight back to Boston against the same wind took 6 hours. The speed of the wind if the speed of the plane in still air is 550 mph is 50 mph.
How to find the speed of the plane?Given data:
Boston to London = 5 hours
Flight back to Boston = 6 hours
Still air = 550 mph
Using this formula
Speed (s) = Distance /Time
We need to formula an equation that will be used to find the speed
Equation: (550 + s)5 = (550 - s)6
So,
Let s represent the speed
(550 + s)5 = (550 - s)6
2750 +5s = 3300 - 6s
Collect like terms
6s +5s = 3300 - 2750
11s = 3300 - 2750
11s = 550
Divide both side by 11s
s= 550/11
s = 50mph
Therefore the speed of the plane is 50mph.
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The coefficient in the formula above tells us that there are?
Answers
Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answers
Answer:
A. 1/5
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
y_2 = y-coordinate of point 2y_1 = y-coordinate of point 1x_2 = x-coordinate of point 2x_1 = x-coordinate of point 12. (Solving)
[tex]\frac{(3)-(2)}{(4)-(-1)}[/tex] [tex]\frac{1}{4+1}[/tex] [tex]\frac{1}{5}[/tex]Therefore, the answer is A. 1/5.
[tex]\huge \bf༆ Answer ༄[/tex]
Consider two points (-1 , 2) and (4 , 3)
Slope (m) of the graph is : -
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf\dfrac{3 - 2}{4 - ( - 1)} [/tex][tex] \sf \dfrac{1}{4 + 1} [/tex][tex] \sf\dfrac{1}{5} [/tex][tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
If you mix 0.02 litres of squash with 100 ml of water to make a drink, what is the total volume of drink that could be made with 1 litre of squash?
Give your answer in litres.
Answers
The ratio of boys to girls in Mr. Baker’s social studies class is 2 to 3. If there are 30 total students in the class, how many more girls are in the class than boys?
Answers
Answer:
There would be 10 more Girls.
PLEASE HELP
What is the slope of the line?
Answers
Step-by-step explanation:
you know what the slope of the line is ? it is the inclination of the line. how strongly is it going up or down, or is it maybe flat ?
in the formulas the slope is always the factor of x. the slope is excised as ratio of y coordinate change / x coordinate change when going from one point to another.
we see here 2 clear points in my opinion :
(0, -3) and (3, 0)
that is where the line crosses the y and the coordinate axis.
so, going from (0, -3) to (3, 0) :
x changes by +3 (from 0 to 3)
y changes by +3 (from -3 to 0).
so, the slope is
+3/+3 = 1
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answers
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm
Find the common difference of the arithmetic sequence 13, 21, 29, .
Answers
Answer: 8
Step-by-step explanation:
There are 153 millimeters of juice in 1 carton. A three-pack of juice boxes contains a total if 459 millimeters. A. Estimate, and then find the actual total amount of juice in 1 carton and in a three-pack of juices boxes.
Answers
Answer:
1 juice boxes = 153 millimeters
459 ?
3 juice boxes = 459 millimeters
Step-by-step explanation:
How long did it take a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s?
Answers
It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
A constant acceleration is of 50 meter per second.
A jet to accelerate from 200 m/s to 300 m/s.
Acceleration is 100 meters per 2 seconds.
That means,
it will take = (300 - 200)/ 50 m/s
= 2 seconds.
Therefore, it will take 2 seconds.
To learn more about the division;
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identify the steeper line y = 3x + 4 or y = 6x + 11
Answers
Answer:
y=6x+11
Step-by-step explanation:
The slope of y=3x+4 is 3 and the slope of y=6x+11 is 6.
Hope this helps :)
y = 3x + 4 is the steeper line with the slope 3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two lines are y = 3x + 4 and y = 6x + 11
In the given line y = 3x + 4
The slope of the line is 3
In the given line y = 6x + 11
The slope of the line is 6
Among the two lines the line y = 3x + 4 has less slope. So the the steeper line y = 3x + 4
Hence, y = 3x + 4 is the steeper line with the slope 3
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What is the slope-intercept form of the equation x + y= -15?
Answers
Answer:
x+y=-15
y=-x-15
Step-by-step explanation:
Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.
Answers
Answer:
18.75
Step-by-step explanation:
80 = 100%
1% = 100%/100 = 80/100 = 0.8
the grades changed by 95 - 80 = 15.
how many % is that ?
we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :
15 / 0.8 = 18.75
so, the grades changed by 18.75%.
An electrician charges a
service fee of $89 plus an
hourly rate of $35.
Identify the y-intercept
in this linear equation.
HELPP.
Answers
Answer:
89
Step-by-step explanation:
The y intercept is the value when x = 0
Even when you have 0 hours you still have to pay the service fee
The equation is
y = 35x+89
The y intercept is 89
a doubles tennis court measures (7x+8) ft in length and (3x+6) ft in width. which expression represents the area of the court
Answers
If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Recall:
Area of a rectangle = length x widthGiven the algebraic expressions for the dimension of the rectangular court as:
length = (7x + 8) ft
width = (3x + 6) ft
Therefore,Area = [tex](7x + 8) \times (3x + 6)[/tex]
Apply the distributive property[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]
Add like terms[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
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Does this relationship represents a function? Explain why or why not. (F.IF.A.1)
y
-5
4
-2
-5.4
-2.1
2 B4
5
X
Edit
View
Insert
Format
Tools Table HELP PLEASE
Answers
Step-by-step explanation:
no, it does not.
because almost every valid value of x (from -3 to +3) has 2 associated result values of y.
like x = 0 has y = 3 and y = -3.
but for a function there can be only ONE associated y value for every valid x value.
Which graph represents the function f (x) = –| x - 3| + 1
Answers
Answer:
D
last one
Step-by-step explanation:
PLS ANSWER QUICK AND SHOW WORK
Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?
Answers
Step-by-step explanation:
30×5=150 and 800×28%=224
total earned $374.
Does -19x go behind -12xi or in front of o -12xi in standard form?
x^2-19x-12xi or x^2-12xi-12x
Answers
Answer:
It's x² -12xi-12x
Step-by-step explanation:
You always do ax²+bx+c
what is the value of
r t s 100°
Answers
Catalog # Size Package Content Price* Qty
BR1400106 6 reactions of 50 µl Reagents for coupled transcription/translation reactions
€196.00
0
BR1400101 24 reactions of 50 µl Reagents for coupled transcription/translation reactions
€591.00
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BR1400102 96 reactions of 50 µl Reagents for coupled transcription/translation reactions
€1,864.00
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
i have no idea what this question is asking for but my guest is that you need to reformate the equations
-5x+y=-11 in y+mx+b format is y=5x-11
x-y=7 in y=mx+b formate is y=-x+7
I forgot how to do this stuff so please help
Answers
Answer:
116 in
Step-by-step explanation: