The minimum amount of glass needed to construct the Louvre pyramid is approximately 3133 square meters.
What is the minimum amount of glass needed to construct the glass pyramid in front of the Louvre museum in Paris, if the pyramid is 35 meters wide at the base and 20.6 meters tall?
The surface area of a square base pyramid can be calculated by adding the area of the base to the sum of the areas of the four triangular faces.
The area of the square base is simply the width of the base squared:
Area_base = (35 m)^2 = 1225 square meters
The area of each triangular face can be calculated using the formula:
Area_triangle = (1/2) * base * height
For the Louvre pyramid, the base of each triangular face is equal to the width of the base of the pyramid, which is 35 meters. The height of each triangular face can be found using the Pythagorean theorem:
\(height^2 = (1/2 * width)^2 + height^2\)
\(height = sqrt((1/2 * 35 m)^2 + (20.6 m)^2)\)
height = 29.2 m
Therefore, the area of each triangular face is:
Area_triangle = (1/2) * (35 m) * (29.2 m) = 508.5 square meters
The total surface area of the pyramid is:
Surface_area = Area_base + 4 * Area_triangle
Surface_area = 1225 + 4 * 508.5
Surface_area = 3133 square meters
Since the pyramid is made of glass, we need to calculate the minimum amount of glass needed to construct it. Assuming the glass is thin and flat, we can simply use the surface area of the pyramid to estimate the amount of glass needed.
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Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
Helppp Meee Plsss
....
Answer:
I believe it is because it is being transferred to kinetic energy
Step-by-step explanation:
As the puck falls, it loses potential energy and gains kinetic energy because it is now falling, which causes movement due to gravity. And as we know, kinetic energy is energy which a body possesses by virtue of being in motion
5/12 + 1/4 please help me
Answer:
2/3
Step-by-step explanation:
Let's add
1/4 + 5/12
Step 1
Our denominators (bottom numbers) don't match, so we can't add yet.
Since 4 is evenly divided by 12, we can multiply just one term to get a common denominator.
Multiply 1 by 3, and get 3, then we multiply 4 by 3 and get 12.
1/4 × 3
The problem now has new fractions to add:
3/12 + 5/12
Step 2
Since our denominators match, we can add the numerators.
3 + 5 = 8
The sum we get is
8/12
Step 3
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
8/12 ÷ 2 = 4/6
Now, try the same number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
4/6 ÷ 2 = 2/3
Now, try the same number again.
Nope. Try the next prime number, 3...
No good. 3 is larger than 2. So we're done reducing.
Congratulations! Here's your final answer to 1/4 + 5/12
1/4 + 5/12 = 2/3
Answer:
2/3 would be your answer
Step-by-step explanation:
5/12 + 1/4 you need the denominator to be the same so you times the numerator and the denominator of 1/4 by 3
your equation would now look like 5/12 + 3/12
Now you just add the numerator 5 + 3 is 8 so your fraction would look like this 8/12
But you can simply so you divide the numerator and denominator by a common factor, in this case the common factor is 4
so your simplified answer would be 2/3
Hope this helps :)
The equation A = 1800(1.043)s is being used to calculate the amount of money in a savings account.
What does 1.043 represent in this equation?
A. 0.043% decay
B. 0.043% growth
C. 4.3% decay
D. 4.3% growth
Answer: D
Step-by-step explanation:
Debra and Alexandria can finish a plowing job in two hours if they work together. Debra can do the job in 7 hours by herself. How long would it take Alexandria to finish the same job alone?
Answer:
2 hours 48 minutes
Step-by-step explanation:
Debra=1 plowing job / 7 hours
Debra+Alexandra=1 plowing job / 2 hours
1/2-1/7
=7/14-2/14
=5/14
=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)
14/5 hour=2 hours 48 minutes (hope hits helps)
Alexandria to finish the same job alone in, 2 hours 48 minutes
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Debra and Alexandria can finish a plowing job in two hours if they work together.
And, Debra can do the job in 7 hours by herself.
Hence, We get;
For Debra = 1 plowing job / 7 hours
Debra + Alexandra = 1 plowing job / 2 hours
Hence, Time to take Alexandria to finish the same job alone is,
= 1/2 - 1/7
= 7/14 - 2/14
= 5/14
= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)
= 2 hours 48 minutes
Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes
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"Month 1 2 3 4 5 6 7
Value 23 15 20 12 18 22 15
What type of pattern exists in the data?
(a) positive trend pattern
(b) horizontal pattern
(c) vertical pattern
(d) negative trend pattern
The negative trend pattern exists in the given data.
The Given information is as follows: Month 1 2 3 4 5 6 7
Value 23 15 20 12 18 22 15
To find: What type of pattern exists in the data
The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.
Conclusion: Thus, the negative trend pattern exists in the given data.
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Ted gets paid an hourly wage of $15 per hour. This week, Ted made an additional $27 dollars in overtime. Which expression represents the total amount of money that Ted earned this week?
A.
27 • p ‒ 15
B.
15(p ‒ 27)
C.
(15 • p) + 27
D.
15(p + 9)
Ted gets paid an hourly wage of $15 per hour. This week, Ted made an additional $27 dollars in overtime. Which expression represents the total amount of money that Ted earned this week?
A. 27 • p ‒ 15
B. 15(p ‒ 27)
C. (15 • p) + 27
D. 15(p + 9)
The volume of a box 4inches wide and 2 inches high and 5 inches long is
Answer:
40
Step-by-step explanation:
4x2x5=40, the formula for volume is LxWxH=V length times width times height
Marilyn is playing a game where she draws a slip of paper with the words "Rock, Paper, Scissors" written on each slip from a hat. She then flips a coin. She predicts "Paper" and calls Tails. She wins if she is correct. What is the probability she will win?
Answer:
1/6
Step-by-step explanation:
In a game of "Rock, Paper, Scissors", there are three possibilities. The probability that Marilyn will get Paper is given as
1/3
In a coin flip, the probability that it will land on tails is
1/2
Therefore, the probability that she will win if she predicts "Paper" and calls Tails is the product of the individual probabilities:
1/3 * 1/2 = 1/6
What is the surface area of the square pyramid with base edge of 10 millimeters and a face height of 18 millimeters?
180 mm2
600 mm2
460 mm2
360 mm2
The surface area of the square base pyramid is calculated to be equal to 460 square millimetres.
How to calculate for the total surface area of the square base pyramidarea of one triangle face = 1/2 × 10 mm × 18 = 90 mm² mm
area of the four triangle faces = 4 × 90 mm² = 360 mm²
area of the square base = 10 mm × 10 mm = 100 mm²
surface area of the square base pyramid = 360 mm² + 100 mm²
surface area of the square base pyramid = 460 mm²
Therefore, the surface area of the square base pyramid is calculated to be equal to 460 square millimetres.
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Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, negative 2) and (2, 0). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above and to the right of the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (2, 0). Everything above the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (3, 0). Everything above the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.
Answer:
D, or the last graph.
Step-by-step explanation:
I got it right when I was doing the assignment :)
From the information given regarding the graph, it should be noted that correct option about the graph of the system is D. On a coordinate plane, 2 dashed lines are shown.
What is a graph?It should be noted that a graph is a mathematical diagram which shows the relationship between two or more sets of numbers.
In this case, on a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.
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Is km ∥ jn? why or why not? no, because startfraction 16 over 10 endfraction not-equals startfraction 24 over 15 endfraction. yes, because startfraction 10 over 24 endfraction equals startfraction 15 over 16 endfraction. yes, because startfraction 16 over 10 endfraction equals startfraction 15 over 24 endfraction yes, because startfraction 16 over 10 endfraction equals startfraction 24 over 15 endfraction.
The answer is Yes because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction is correct.
From the diagram we have
Corresponding segments in triangles LKM and LJN are proportional, so the triangles are similar and KM ║ JN.
What is the meaning of a parallel line?The parallel line does not intersect each other
The other yes choice does not properly show corresponding segments
So, actually makes a false claim.
It is not true that 16/10 = 15/24.
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Answer: Yes, 16/10 equals 24/15
Step-by-step explanation: bc im cool like that
Simulation Study of Bandit Algorithms In this problem, we evaluate the performance of two algorithms for the multi-armed bandit problem. The general protocol for the multi-armed bandit problem with K arms and n rounds is as follows: in each round t = 1,..., n the algorithm chooses an arm At E {1,..., K} and then observes reward rt for the chosen arm. The bandit algorithm specifies how to choose the arm At based on what rewards have been observed so far. In this problem, we consider a multi-armed bandit for K = 2 arms, n = 50 rounds, and where the reward at time t is rt ~ N(At – 1,1), i.e. N(0,1) for arm 1 and N(1,1) for arm 2. (a) (4 points) Consider the multi-armed bandit where the arm At E {1, 2} is chosen accord- ing to the explore-then-commit algorithm (below) with c= 4. Let Gn = 2n=1 rt denote the total reward after n = 50 iterations. Simulate the random variable Gn a total of B = 2000 times and save the values Gb), b = 1, ..., B in a list. Report the (empirical) average pseudoregret 3 DB1 (504* – GO) (where u* is the mean of the best arm) and plot a normalized histogram of the rewards. 9 = Algorithm 1 Explore-then-Commit Algorithm input: Number of initial pulls c per arm for t= 1,...,cK : do Choose arm At = (t mod K)+1 end Let € {1,..., K} denote the arm with the highest average reward so far. for t= cK + 1, cK + 2,...,n: do | Choose arm At = end (b) (4 points) Consider the multi-armed bandit where the arm At € {1,2} is chosen accord- ing to the UCB algorithm (below) with c= 4, n = 50 rounds. Repeat the simulation in Part (a) using the UCB algorithm, again reporting the empirical) average pseudoregret and the histogram of Go for b = 1...B for B = 2000. How does the pseudoregret compare to your results from part (a)? Note: If TẠ(t) denote the number of times arm A has been chosen (before time t) and û Azt is the average reward from choosing arm A (up to time t), then use the upper con- fidence bound û A,TA(t-1) + V TA(t-1): 2 log(20) + Note also that this algorithm is slightly different than the one used in lab and lecture as we are using an initial exploration phase. = Algorithm 2 UCB Algorithm input: Number of initial pulls c per arm for t= 1, ...,cK : do | Choose arm At = (t mod K)+1 end for t = cK + 1, cK + 2...: do | Choose arm At with the highest upper confidence bound so far. end (c) (1 point) Compare the distributions of the rewards by also plotting them on the same plot and briefly justify the salient differences.
In the multi-armed bandit problem, there are a number of slot machines (arms) each with an unknown probability distribution of rewards.
The task is to maximize the total reward over a number of trials, where in each trial, an arm is selected and a reward is received.
In this specific problem, there are two arms, and the rewards for each arm follow a normal distribution with different means. The explore-then-commit and UCB algorithms are used to choose which arm to select in each trial.
The explore-then-commit algorithm chooses an arm randomly for an initial set of trials and then chooses the arm with the highest average reward for the remaining trials.
The UCB algorithm chooses the arm with the highest upper confidence bound, which takes into account both the average reward and the uncertainty in that estimate.
The problem asks to simulate the algorithms for 2000 rounds and calculate the average pseudoregret, which is the difference between the total reward obtained and the reward that would have been obtained if the best arm had been chosen every time.
The problem also asks to plot a histogram of the rewards obtained for each algorithm and compare the distributions. The differences between the distributions can be justified based on the different exploration-exploitation trade-offs made by each algorithm.
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Find the missing angle measurement of a triangle with these angles:
45°, 35.8°, x°
a = 45 b = 35.8 c = 57.503
Create a data set that contains 10 values such that the mean is greater than the median.
Answer:
Go with anything, and I mean ANYTHING that is in a numerical order with an outlier
LITERALLY 1,2,3,4,5,6,7,8,9,100
you will get a median of 5.5 but with the high outlier, you will get a mean of 14.5
how many ways are there to select 12 countries in the united nations to serve on a council if 2 are selected from a block of 45, 4 are selected from a block of 57, and the others are selected from the remaining 69 countries
By combination, there are 2346953264 ways to do so.
What is the example of combination?
Without regard to the sequence in which the things are chosen, a combination is the selection of all or a portion of a collection of objects. Consider a group of three letters, such as A, B, and C.Total number of selected countries = 12
Number of selected countries from a block of 45 = 3
Number of selected countries from a block of 57 = 4
So, remaining number of selected countries from a block of 69.
So, 12-(3+4)=12-7=5
= ⁴⁵C₃ × ⁵⁷C₄ × ⁵⁷C₅
= 14190 × 395010 × 4187106
= 2346953264
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Differentiate implicitly to find dy/dx if x^10 – 5z^2 y^2 = 4
a. (x^3 – y^2)/xy
b. x^8 – 2xy^2
c. (x^8 – y^2)/xy
d. xy – x^8
d) dy/dx = y - 8x^7.To find dy/dx using implicit differentiation, we'll differentiate each term with respect to x and treat y as a function of x. Let's go through each option:
a) (x^3 – y^2)/xy
Differentiating with respect to x:
d/dx[(x^3 – y^2)/xy] = [(3x^2 - 2yy')xy - (x^3 - y^2)(y)] / (xy)^2
Simplifying, we get:
dy/dx = (3x^2 - 2yy') / (x^2y) - (x^3 - y^2)(y) / (x^2y^2)
b) x^8 – 2xy^2
Differentiating with respect to x:
d/dx[x^8 – 2xy^2] = 8x^7 - 2y^2 - 2xy(2yy')
Simplifying, we get:
dy/dx = (-2y^2 - 4xy^2y') / (8x^7 - 2xy)
c) (x^8 – y^2)/xy
Differentiating with respect to x:
d/dx[(x^8 – y^2)/xy] = [(8x^7 - 2yy')xy - (x^8 - y^2)(y)] / (xy)^2
Simplifying, we get:
dy/dx = (8x^7 - 2yy') / (x^2y) - (x^8 - y^2)(y) / (x^2y^2)
d) xy – x^8
Differentiating with respect to x:
d/dx[xy – x^8] = y - 8x^7
Simplifying, we get:
dy/dx = y - 8x^7
Comparing the derivatives obtained in each option, we can see that the correct choice is:
d) dy/dx = y - 8x^7
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What is the equation of this line?
y=1/2x-3
y=-1/2x-3
y=-2x-3
y=2x-3
Answer:
y=1/2x-3
Step-by-step explanation:
y=mx+b where m equals the slope and b equals the y-intercept. The slope is 1/2 and the y-intercept is -3. Hope this helps!
whats is this bruh
Answer:
A. (f - g)(x) = -7x - 3
General Formulas and Concepts:
Algebra I
Composite FunctionsCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = -3x - 5
g(x) = 4x - 2
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = -3x - 5 - (4x - 2)Distribute -1: (f - g)(x) = -3x - 5 - 4x + 2Combine like terms: (f - g)(x) = -7x - 3Answer:
A. (f - g)(x) = -7x - 3
General Formulas and Concepts:
Algebra I
Composite Functions
Combining Like Terms
Step-by-step explanation:
Step 1: Define
f(x) = -3x - 5
g(x) = 4x - 2
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = -3x - 5 - (4x - 2)
Distribute -1: (f - g)(x) = -3x - 5 - 4x + 2
Combine like terms: (f - g)(x) = -7x - 3
Find a the shortest distance from d to b
what is the equation in standard form of the line that passes through the point (1,24) and has a slope of (-3/5)
y = -3/5x - 123/5 is slope-intercept form .
What is an explanation of the slope-intercept form?
A line's equation can be written in the slope-intercept form so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately visible. This form is frequently known as the y = mx + b form.Point = ( 1,24 )
slope = -3/5
the equation in standard form of the line that passes through the point
y - y₁ = m ( x - x₁)
y - 24 = -3/5 ( x - 1)
5 (y - 24) = -3( x - 1 )
5y - 120 = -3x + 3
5y = -3x + 3 + 120
5y = -3x + 123
y = -3/5x - 123/5
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Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?
Answer:
$420
Step-by-step explanation:
Given data
GIven ratio= 2:3
The total ratio= 2+5= 7
Ann's share= $120
Let us apply the part to all approach
let the total amount be x
so for Ann
2/7= 120/x
cross multiply
2x= 120*7
2x= 840
divide both sides by 2
x= 840/2
x= 420
Hence the amount shared is $420
x+y=3
x^2+y^2=17
Solve the simultaneous equations
The possible solution set for the system is (- 1, 4) and (4, - 1).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as -
x + y = 3
x² + y² = 17
Refer to the graph of the function attached. The points of intersection represents the possible solution set.
Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).
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Help pls for I will give u brainlest
Answer:
y = 3.5x
Step-by-step explanation:
y=mx+b. given the points (0,0) and (2,7), you solve using y2-y1 / x2-x1 to find slope. This equals 7/2 which = 3.5. Then just put it into equation form of y=mx+b. But, our b is 0 so your equation just becomes y=3.5x
Solve y-21 < 85
please I really need those this is due tonight.
Answer:
y < 106
Step-by-step explanation:
In this equation, we simply add 21 to both sides, so we get y < 106.
A portfolio of claims contains 10 each of bodily injury, property damage, worker's compensation and comprehensive claims. Five claims are randomly drawn from this portfolio. Find the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages.
The value of P is approximately 0.0082027.
To find the probability of selecting exactly three claims from one coverage and exactly two claims from one of the other coverages, we need to calculate the total number of ways to choose three claims from one coverage and two claims from another coverage, and divide it by the total number of ways to choose five claims from the portfolio.
First, let's calculate the total number of ways to choose three claims from one coverage and two claims from another coverage. We have 10 bodily injury claims and 10 property damage claims to choose from, so the number of ways to choose three claims from one coverage is 10 choose 3 (denoted as C(10, 3)), and the number of ways to choose two claims from another coverage is 10 choose 2 (denoted as C(10, 2)). Multiplying these two combinations gives us the total number of ways to choose three claims from one coverage and two claims from another coverage.
Next, let's calculate the total number of ways to choose five claims from the portfolio. We have a total of 10 bodily injury claims, 10 property damage claims, 10 worker's compensation claims, and 10 comprehensive claims to choose from, so the number of ways to choose five claims from the portfolio is 40 choose 5 (denoted as C(40, 5)).
Finally, to find the probability, we divide the total number of ways to choose three claims from one coverage and two claims from another coverage by the total number of ways to choose five claims from the portfolio.
Therefore, the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages can be calculated as:
P = (C(10, 3) * C(10, 2)) / C(40, 5)
P = (C(10, 3) * C(10, 2)) / C(40, 5)
ChatGPT
To solve the expression P = (C(10, 3) * C(10, 2)) / C(40, 5), we can substitute the values into the combination formulas and perform the calculations:
C(10, 3) = 10! / (3!(10-3)!) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120
C(10, 2) = 10! / (2!(10-2)!) = 10! / (2! * 8!) = (10 * 9) / (2 * 1) = 45
C(40, 5) = 40! / (5!(40-5)!) = 40! / (5! * 35!) = (40 * 39 * 38 * 37 * 36) / (5 * 4 * 3 * 2 * 1) = 658,008
Now, we can substitute these values into the expression:
P = (C(10, 3) * C(10, 2)) / C(40, 5) = (120 * 45) / 658,008
Performing the calculation:
P = 5,400 / 658,008
Simplifying the fraction:
P ≈ 0.0082027
Therefore, the value of P is approximately 0.0082027.
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I NEED HELPP PLEASEE!!!
Answer:
26.4
31.2
33.3
These are the easy questions, the rest will have a square root and a a number outside.
6 is what percent of 88?
Answer:
6 is 6.82% of 88
mr crates, the principal at a local middle school, made a rule that there must be 1 adult for every 4 students attending a feild trip.
The solution to the equations are
The number of adults for 12 students is 3 adults
The number of adults for 24 students is 6 adults
The number of adults for 40 students is 10 adults
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of students for 1 adult be 4 students
So , the proportion of students to adults is 1 : 4
Now , the equation will be
The number of adults for 12 students = 12 / 4
The number of adults for 12 students = 3 adults
The number of adults for 24 students = 24 / 4
The number of adults for 24 students = 6 adults
The number of adults for 40 students = 40 / 4
The number of adults for 40 students = 10 adults
Now , when the number of students is 33 students
The number of adults = 33 / 4 = 8.25 adults ≈ 8 adults
Hence , the proportion is 1 : 4
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The value of 33 + 42 =
. (5 points)
HELP PLEASE ITS DO IN 15 MIN!!!!
Answer:
The answer is 75
I need to write atleast 20 letters to answer this so don't worry. Also, can you mark as brainliest