Find the area of the figure below, formed from a triangle and a parallelogram.
8 mm
3 mm
5 mm
4 mm
5 mm
5 mm
O 44 square millimeters
O 32 square millimeters
O 34 square millimeters
O22 square millimeters
Answers
The correct option for the area of the figure formed by a triangle and a parallelogram is 32 square millimeters.
How to evaluate for the area of the figureTo get the area of the figure, we solve for the area of the triangle and that of the parallelogram, and then add our results together.
area of a triangle is half the product of its base and height
area of parallelogram is the base multiplied by its height
the triangle has base = 8mm and height = 3mm
so
area of the triangle = (8mm × 3mm)/2
area of the triangle = 24mm²/2
area of the triangle = 12mm²
the parallelogram has base = 5mm and height = 4mm
so
area of the parallelogram = 5mm × 4mm
area of the parallelogram = 20mm²
Therefore, the area of the figure which is the sum of the area of the triangle and the area of the parallelogram is;
12mm + 20mm² = 32mm² or 32 square millimeters
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Related Questions
2x - 3y = -1
y =x -1
Substitution
Answers
Answer:
x = 4 ; y = 3
Step-by-step explanation:
2x - 3(x-1) = -1
2x - 3x + 3 = -1
- x = -1 - 3
- x = -4
x = 4
y = 4-1
y = 3
What are the three forms of split?
Answers
The three forms of split are as follow: splitting , split and splits.
Explanation :
Split is an irregular form of verb.This means 'd' or 'ed' is not added at its end.Irregular verbs are the verbs which does follow the general or regular form of grammar or the normal pattern of change in its form. For example : Eat is ate and eaten not eatted.Considering the first , second , third verb form of split it is same for all.Splitted sounds and is considered wrong .It does align with normal standard of words.Example: Present : I split the bill. Past : I split the billFuture : i shall split the bill.Therefore, the three forms of the split are splitting , split and splits.
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What is the slope of the line through the points x1 y1 and x2 y2?
Answers
The slope of a line through the two points is (y2-y1) / (x2 - x1).
The slope of a line:
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
Here we have to find the slope of the line.
Data given:
Point one has the coordinate = (x1, y1)
Point two has the coordinate = (x2, y2)
So the slope of the line(m) =( y2 - y1) / (x2 - x1)
Therefore the slope of the line is (y2- y1) / ) (x2-x1)
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-9x5
81 devided by (-9)
Answers
81/-9=-9
Hope this helps:)
Christian is 1.35 meters tall. At 10 a.m., he measures the length of a tree's shadow t
be 38.65 meters. He stands 34.4 meters away from the tree, so that the tip of his
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.35 m
•34-4 m
•38.65 m
It’s not 1.52
Answers
Answer:
The answer is 1.52.
Step-by-step explanation:
I don't know why it's not 1.52 no matter how I calculate it's 1.52
Solve 1/2 + 1/2x = x^2 − 7x+10/4x by rewriting the equation as a proportion. Which proportion is equivalent to the original equation?
Name the true solution(s) to the equation
Name the extraneous solution(s) to the equation.
Answers
The proportion that is equivalent to the original equation [tex]\frac{x+1}{2x} =\frac{x^{2} -7x+10}{4x}[/tex]
The true solution to the equation [tex]x_{1} =1, x_{2}=8[/tex]
The extraneous solution to the equation.x=0
You are given the equation
[tex]\frac{1}{2} + \frac{1}{2x}=\frac{x^{2} -7x+10}{4x}[/tex]
we will note that
[tex]\frac{1}{2} + \frac{1}{2x}=\frac{x+1}{2x}[/tex]
this equation can now be rewritten as proportions as
[tex]\frac{x+1}{2x}=\frac{x^{2} -7x+10}{4x}[/tex]
Solving this equation using the main property of proportion:
[tex]4x. (x+1) =2x.(x^{2} -7x+10.\\[/tex]
[tex]2x(2x+2-x^{2} +7x-10) =0,[/tex]
[tex]2x(-x^{2} +9x-8) =0[/tex]
x cannot be equal to 0 (it is placed in the denominator of the initial equation and the denominator cannot be 0), so x=0 is the extraneous solution to the equation.
This will hence translate to
[tex]-x^{2} +9x-8=0[/tex]
[tex]x^{2} +9x+8=0,[/tex]
[tex]x_{1,2} = \frac{\sqrt{(-9)^2-4 . 8} }{2} =[/tex] 9±7/2
=1, 8
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The correct answers on Edge are explained and shown below.
Solve 1/2 + 1/2x = x^2 − 7x+10/4x by rewriting the equation as a proportion.
Q1: Which proportion is equivalent to the original equation?
Answer: C. [tex]\frac{x +1}{2x} = \frac{x^{2} -7x + 10}{4x}[/tex]
or
Option 3. x + 1/2x = x^2 - 7x + 10/4x
Q2: Name the true solution(s) to the equation:
Answer: x = 1, x = 8.
Q3: Name the extraneous solution(s) to the equation:
Answer: x = 0.
You are all welcome. Hope this helps. Have a nice day. :)
Kayla is 1. 85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28. 15 meters. She stands 23. 1 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answers
The height of the tree is 2.25 m. The problem is related to quantitative comparison.
What is a quantitative comparison?A quantitative comparison is a problem with two objects having different quantities but they can be increasing by the same factor.
Kayla is 1.85 m tall and she stands 23.1 m away from the tree. At the same time, a tree's shadow near her is 28.15 high. Determine the height of the tree!
We have:
Kayla's tall = 1.85 mKayla's shadow = 23.1 mTree's shadow = 28.15 mIf the tree's shadow is longer than Kayla's shadow, the tree's height is also higher that Kayla's tall. The tree's height is
Kayla's tall/tree's tall = Kayla's shadow/tree's shadow
1.85/tree's tall = 23.1/28.15
Tree's tall = (28.15 × 1.85)/23.1
Tree's tall = 2.25 m
Hence, the height of the tree that has a shadow of 28.15 meters is 2.25 m.
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Fill in the missing number 25% of = 24
Answers
Answer:
96
Step-by-step explanation:
25% of what is 24?
25% of X is 24
To find X we do 24/25%.
Converting percent to decimal:
25%/100 = 0.25
X = 24/0.25
X = 96
the blue catfish (ictalurus furcatus) is the largest species of north amercian catfish. the current world record stands at 143 pounds, which was caught in the john h. kerr reservoir (bugg's island lake) located in virginia. according to amercian expedition, the average weight of a blue catfish is between 20 to 40 pounds. given that the largest blue catfish ever caught was at the john h. kerr reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. a) if you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses? h 0 : ? h 1 : ? b) what type of hypothesis test should you conduct (left-, right-, or two-tailed)?
Answers
a) The hypothesis are given as follows:
Null hypothesis: [tex]H_0: \mu \leq 40[/tex]Alterantive hypothesis: [tex]H_1: \mu > 40[/tex]b) The test is classified as a right-tailed test.
What are the hypothesis tested?The claim is given as follows:
"The mean weight of the fish in this reservoir is greater than 40 pounds".
At the null hypothesis, it is tested if there is not enough evidence to conclude that the claim is true, that is, not enough evidence to conclude that the mean is greater than 40 pounds, hence:
[tex]H_0: \mu \leq 40[/tex]
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the claim is true, hence:
[tex]H_1: \mu > 40[/tex]
We are testing if the mean is greater than a value, hence this is a right-tailed test.
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airline passengers get heavier in response to the increasing weight of airline passengers, the federal aviation administration (faa) in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. but passengers vary, and the faa did not specify a standard deviation. a reasonable standard deviation is 35 pounds. weights are not normally distributed, especially when the population includes both men and women, but they are not very non-normal. a commuter plane carries 30 passengers. pg 447 applet 456 chapter 7 sampling distributions (a) explain why you cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds. (b) find the probability that the total weight of the passengers on a full flight exceeds 6000 pounds. show your work. (hint: to apply the central limit theorem, restate the problem in terms of the mean weight.)
Answers
The solutions for a and b are given below by using probability:
What is meant by central limit theorem?According to the central limit theorem, regardless of the underlying distribution, the distribution of the sum (or average) of a large number of independently distributed variables will be roughly normal. According to the central limit theorem, if you take sufficiently large random samples from a population with mean and standard deviation and replace some of the individuals in the samples, the sample means will be distributed about normally. The central limit theorem in probability theory proves that, even when independent random variables are added together, their correctly normalized sum frequently tends toward a normal distribution.
As a result, the sampling distribution of the sample mean of 22 passengers is normally distributed, with a mean weight of 190 pounds that is the same as the population's mean σ/√n.
=35/√22
=7.46
Now, for X=4500, z=(μ)/σ
=(4500-190)/7.46
=577.74
P(X>577.4)
=1-P(X<577.4)=0
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What is slope and y-intercept examples?
Answers
Slope is a measure of how much a line changes in the y-direction for every unit of change in the x-direction and y-intercept of a line is the point at which the line crosses the y-axis.
Slope: Slope is a measure of how much a line changes in the y-direction for every unit of change in the x-direction. It is typically represented by the m in the equation y = mx + b.
Example: A line with a slope of 2 would mean that for every increase of 1 in the x-direction, the y-value would increase by 2.
Y-intercept: The y-intercept of a line is the point at which the line crosses the y-axis. It is typically represented by the b in the equation y = mx + b.
Example: A line with a y-intercept of 4 would cross the y-axis at y = 4.
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Algebra2 8.2 Practice a problems
Answers
Step-by-step explanation:
Given the angle 10 let's add 360 and see if the angle is in the interval.
[tex]10 + 360 = 370[/tex]
However,
[tex]10 - 360 = - 350[/tex]
So the coterminal angle is
-350
For question 2, subtract 360
[tex]180 - 360 = - 180[/tex]
What is the rule for scale factor?
Answers
The rules of the scale factor has been explained
The scale factor is the ratio of the dimension of the new figure to the dimensions of the original figure.
The equation will be
Th scale factor = The dimensions of new figure ÷ Dimensions of the original figure
The values of the scale factor can be divided into three cases
When, scale factor greater than 1
The size of the new figure will be greater than original figure
When scale factor between 0 and 1
The size of the new figure will be less than original figure
When scale factor is equal to 1
The size of the new figure and original figure are same
Therefore, these are the rules of scale factor
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What is the value of x if the distance between the points (7, 5) and (x, -3) is 10 units?
Answers
The value of the variable x when the distance between two points is 10 is equal to 13 or 1.
As given in the question,
Given two points (7, 5) and (x, -3)
Distance between two points (7, 5) and (x, -3) is equal to 10 units
Distance = √ ( y₂ - y₁ )² + ( x₂ - x₁ )²
⇒ (10) = √ ( -3 -5 )² + ( x - 7 )²
⇒ 10 = √ ( -8 )² + x² - 14x + 49
⇒ 10² = 64 + x² - 14x + 49
⇒ 100 = 113 + x² - 14x
⇒ x² -14x + 13 = 0
⇒ x² -13x -x + 13 =0
⇒ ( x - 13) ( x - 1) = 0
⇒ x = 13 or 1
Therefore, the value of the variable x for the given distance and points is equal to 13 or 1.
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Slope is -4, and (3, 4) is on the line.
Answers
What is a slope in math?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
To find the correct answer, we need to look at the formula for a straight line: y=mx+b where m= the slope of the line and b= the y intercept. We know from the problem that the slope must be equal to -4, leaving us with y= -4x +b. From here you can substitute the given point in the equation and solve for b.
-3= -4(4) +b
-3= -16+b
+16 +16
13= b
This tells us that b=13, now we simply substitute that into the formula.
The solution to your question is y=-4x+13
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Customers at a restaurant were surveyed to see which type of service they had during their visit (table service, assisted service, or self-service) and their age (18 years or younger or over 18 years old). The results of the survey were displayed in a segmented bar chart.
Which of the following describes this data set?
Categorical and univariate
Numerical and univariate
Categorical and bivariate
Numerical and bivariate
Answers
Since the customers were surveyed to see which type of service they had during their visit and their age, the data type which best describes this data set is: C. categorical and bivariate.
What is a categorical data?A categorical data can be defined as a type of statistical data that is typically used to group information that are having the same attributes or characteristics.
In Science, some examples of a categorical data include the following:
RaceReligionAgeGenderClassWhat is a bivariate data?A bivariate data can be defined as a data set which comprises information that are based on two (2) variables, usually two types of related data.
In conclusion we can reasonably infer and logically deduce that the data set above would result in data that are categorical and bivariate.
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What is 1/6 as a number?
Answers
Answer: 1/6 as a number is 0.1666, with the sixes repeating infinitely, which makes it a rational number. 1/6 = 0.1666 repeating.
Step-by-step explanation: math
A conjecture and the paragraph proof used to prove the conjecture are shown. Given: R S T U is a parallelogram. Angle 1 and angle 3 are complementary. Prove: angle 2 and angle 3 are complementary. Parallelogram J K L M. A diagonal segment U S is drawn across the parallelogram. Angle R U S is labeled 1. Angle U S T is labeled 2. A ray is extended diagonally up to the left of UT forming an interior angle labeled as 3. Drag an expression or phrase to each box to complete the proof. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. It is given that RSTU is a parallelogram, so RU¯¯¯¯¯∥ST¯¯¯¯¯ by the definition of parallelogram. Therefore, ∠1≅∠2 by the alternate interior angles theorem, and m∠1=m∠2 by the Response area. It is also given that ∠1 and ∠3 are complementary, so m∠1+m∠3=90° by the Response area. By substitution, m∠2+ Response area = 90°, and so ∠2 and Response area are complementary by the definition of complementary.
Answers
Answer:
It is given that RSTU is a parallelogram, so RU¯¯¯¯¯∥ST¯¯¯¯¯ by the definition of parallelogram. Therefore, ∠1≅∠2 by the alternate interior angles theorem, and m∠1=m∠2 by the transitive property. It is also given that ∠1 and ∠3 are complementary, so m∠1+m∠3=90° by the definition of complementary angles. By substitution, m∠2+ m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.
How fast is 150 km in 7200 seconds?
Answers
The speed or fastness based on the data of distance and time is 0.02 kilometres per second.
The intensity of fastness is measured by the speed. Concerning this, using the formula of speed to find the how fast the mentioned data indicates.The formula to calculate the speed is -
Speed = distance covered ÷ total time
The distance covered is 150 kilometres and time taken in 7200 seconds. So, the answer will state the speed in kilometres per second. Keep the values in formula to find the speed.
Speed = 150/7200
Performing division on Right Hand Side of the equation to find the speed
Speed = 0.02 kilometres per second.
The mentioned value indicates the object covers 0.02 kilometres in one second.
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What is the effect on the gravitational force if?
a. Both masses are multipled by 3
b. The distance between centers is X4
c. One mass is X2 and the other X3
d. The distance is divided by 2
e. The distance is divided by 2 and one mass X3
Answers
The effect on the gravitational force if:
a. Both masses are multipled by 3: the gravitational force becomes 9 times.
b. The distance between centers is X4: the gravitational force gets reduced by 16 times.
c. One mass is X2 and the other X3 : the gravitational force becomes 6 times.
d. The distance is divided by 2: the gravitational force becomes 4 times.
e. The distance is divided by 2 and one mass X3: the gravitational force becomes 12 times.
We know that the gravitational force between two objects is given by,
F = Gm1m2 / r² ...........(1)
We need to find the effect on the gravitational force if
a. Both masses are multipled by 3
F1 = G(3m1)(3m2) / r²
F1 = 9 Gm1m2 / r²
F1 = 9F ...........(from equation (1))
Thus the gravitational force becomes 9 times.
b. The distance between centers is X4
F2 = Gm1m2 / (4r)²
F2 = Gm1m2 / 16r²
F2 = 1/16 ( Gm1m2 / r²)
F2 = 1/16 * F ...........(from equation (1))
Thus the gravitational force gets reduced by 16 times.
c. One mass is X2 and the other X3
F3 = G(2m1)(3m2) / r²
F3 = 6 * Gm1m2 / r²
F3 = 6F ...........(from equation (1))
Thus the gravitational force becomes 6 times.
d. The distance is divided by 2
F4 = Gm1m2 / (r/2)²
F4 = Gm1m2 / (r²/4)
F4 = 4 ( Gm1m2 / r²)
F4 = 4F ...........(from equation (1))
Thus the gravitational force becomes 4 times.
e. The distance is divided by 2 and one mass X3
F5 = G(3m1)m2 / (r/2)²
F2 = 3Gm1m2 / (r²/4)
F2 = (3*4) ( Gm1m2 / r²)
F2 = 12 F ...........(from equation (1))
Thus the gravitational force becomes 12 times.
Therefore, The effect on the gravitational force if:
a. the gravitational force becomes 9 times.
b. the gravitational force gets reduced by 16 times.
c. the gravitational force becomes 6 times.
d. the gravitational force becomes 4 times.
e. the gravitational force becomes 12 times.
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ten less the the quotient of a number and 3 is 8
Answers
x/3-10=8
Add 10 to each side x/3=18 Multiply by 3
Answer:
x/3 - 10 = 8
Step-by-step explanation:
It seems like you want me to provide an equation, so here it is:
10 less equates to "minus 10", or "10 minus". [-10]
Quotient refers to division, and "a number" can be replaced with a variable: x. This is our numerator. Our denominator is "3", as it states, "and 3". Finally, the "is" statement refers to equality, and we can replace this with the equal sign.
Putting these all together, you get the equation, x/3 - 10 = 8.
Find the length of side x in simplest radical form with a rational denominator.
Answers
The side x of the right angle triangle is 6√3 units.
How to find the sides of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sides of a right triangle is named according to the position of the angle. The side of a right triangle are as follows:
hypotenuse sideopposite sideadjacent sideThe hypotenuse side is the longest side of a right triangle.
Therefore, let's find the x side of the right triangle using trigonometric ratios.
tan 60 = opposite / adjacent
opposite side = x
adjacent side = 6
tan 60 = x / 6
cross multiply
x = 6 tan 60
x = 6 × √3
x = 6√3
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What is the average speed of a car if it travels 150 km in 2 hours?
Answers
The average speed of the car if it travels 150 km in 2 hours is 75 kilometres per hour.
The average speed of the car will be calculated by the formula -
Average speed = total distance covered ÷ time taken
Keep the values from question in the above mentioned formula to calculate the average speed of the car
Average speed of the car = 150/2
Performing division on Right Hand Side of the equation to find the average speed of the car
Average speed of the car = 75 km/hr
Thus, the average speed of the car is 75 kilometres per hour.
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A town has a population of 10000 and grows at 5% every year. To the nearest year, how long will it be until the population will reach 22000?.
Answers
It takes about 16 years to reach the population size of 22000.
Population growth is the term used to describe changes in population size over time, which can be either positive or negative. The population growth formula is [tex]P=P_0\times e^{rt}[/tex]. Here, P is the total population size after time t, P₀ is the initial population size, r is the rate of growth, and e is Euler's number (e=2.72).
Given the total population, after time t is 22000, the initial population is 10000, and the rate is 5%.
Then, the time is calculated as,
[tex]\begin{aligned}22000&=10000\times e^{(0.05\times t)}\\\frac{22000}{10000}&=e^{(0.05\times t)}\\\ln(2.2)&=0.05\times t\\t&=\frac{0.788}{0.05}\\&=15.76\\&\approx16\end{aligned}[/tex]
The time it takes to reach a population size of 22000 is 16 years.
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Someone Please Please Answer this (20 POINTS)
Answers
Answer:
Step-by-step explanation: Simple plug x in.
x=1
(Square root) 4 -1=1
x=6
(square root) 9 -1=2
x=13
(square root ) 16-1=3
x=1 Y=1
x=6 Y=2
x=13 Y=3
PLEASE GIVE ME BRAINLIEST THXThe table shows a proportional relationship between x and y.
x 12 16 28
y 3 4 7
Describe the graph of the proportional relationship, in words.
A line beginning at point (0, 0) and continuing through the point (4, 12).
A line beginning at point (0, 0) and continuing through the point (28, 7).
A line beginning at point (12, 4) and continuing through the point (7, 28).
A line beginning at point (12, 4) and continuing through the point (4, 16).
Answers
A line beginning at point (0, 0) and continuing through the point (28, 7) describes the graph of the proportional relationship. 2nd option is the answer
How to describe the graph of the proportional relationship in words?
Given: the proportional relationship
x 12 16 28
y 3 4 7
In order to know the beginning of the line, we need to find the y-intercept.
The equation of a line is of the form
y = mx + c
where m is the slope and c is the y-intercept.
m = y2-y1 /x2-x1
m = 4-3 / 16-12 = 1/4
y = mx + c
3 = 1/4(12) + c
3 = 3 + c
c = 0
Thus, the beginning of the line is (0, 0).
The coordinate of a line or graph is written in the form (x, y). Therefore, the line begins at point (0, 0) and continues through point (28, 7).
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The length of a rectangle is 4 meters less than twice its width. The area of the rectangle
is 70 square meters. Find the dimensions of the rectangle. (Area = L·W)
Answers
Answer:
The dimensions of the rectangle are 10 meters (L) and 7 meters (W).
Step-by-step explanation:
please give brainliest
Write an equation in point-slope form, slope-intercept form, and standard form for the following lines:
A. [tex]m = -6; (-9,9)[/tex]
B. [tex](-8,-6); (4,-15)[/tex]
Answers
Answer:
Point-slope form:
A. y - 9 = -6(x - 9)
B. y + 6 = -3/2(x + 8)
Slope-intercept form:
A. y = -6x + 63
B. y = -3/2x - 27/2
Standard form:
A. -6x + y - 63 = 0
B. -3/2x - y + 27/2 = 0
The following table shows the breakdown of opinions for both faculty and students in a recent survey about the new restructuring of the campus to include an Honors College. Find the probability that a randomly selected person is either a student opposed to the change or a faculty member who has an opinion either for or against. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Survey Results on Restructuring Campus to Include an Honors College
Category Favor Oppose Neutral Total
Faculty 6 15 15 36
Students 41 41 58 140
Total 47 56 73 176
Answers
The probability that a randomly selected person is either a student opposed to the change or a faculty member who has an opinion either for or against is given as follows:
31/88.
How to calculate the probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of outcomes in this problem is given as follows:
176 people.
The desired outcomes are given as follows:
Student opposed to the change: 41.Faculty member who is either for or against: 6 + 15 = 21.(these outcomes are both calculated from the data given by the table).
Hence the probability is calculated as follows:
p = (41 + 21)/176 = 62/176 = 31/88.
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The amount of caffeine varies greatly from product to product. Click [here] to examine a table comparing the caffeine content of a variety of drinks. Use the data from the table to answer the questions. Lin made a mixture consisting of 24 ounces of instant tea and 12 ounces of green tea. Approximately how many milligrams of caffeine per ounce were in this final mixture? 0. 02 03. 13 25 45.
Answers
The caffeine per ounce in the final mixture of green and instant tea is 40.08 mg.
Based on the data we know quantity of caffeine in an ounce of instant tea is 1368 mg and in green tea is 480.96 mg. So, calculating amount of caffeine in instant and green tea.
Amount of caffeine in instant tea = 24 × 57
Amount of caffeine in instant tea = 1368 mg
Amount of caffeine in green tea = 12 × 6.25
Amount of caffeine in green tea = 75 mg
Total caffeine in the mixture = 1368 + 75
Total caffeine in the mixture = 1443 mg
Total amount of mixture = 12 + 24
Total amount of mixture = 36
Amount of caffeine per ounce in the mixture = 1443/36
Amount of caffeine per ounce in the mixture = 40.08 mg
Hence, the caffeine in mixture is 40.08 mg.
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