Answer: when the value on each side of the equal sign is the same
Step-by-step explanation: for example, 9=9 is a true equation. 5+4 = 9 is a true equation
A men’s basketball coach would like to know if there is a relationship between how tall a player is and how high he can jump. Here is a scatterplot of the data.
A graph has height (inches) on the x-axis and vertical jump distance (inches) on the y-axis. The points form a line with positive slope.
Describe the scatterplot.
The relationship between height and vertical jump distance is
,
, and
.
There are
unusual observations.
The relationship between height and vertical jump is High positive correlation.
What is a correlation?
A statistical indicator of the relationship between the relative motions of two variables is the correlation. If the variables are correlated, a line or curve will be formed by the points. The points will touch the line more closely the better the correlation.
Main body:
To find the relation we need to draw a line passing closely to all the points , if we are able to draw such line , it has high positive correlation.
If the line doesn't pass through all points it has low positive correlation.
hence this has high positive correlation .
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Answer:
-positive
-linear
-strong
-no.
Step-by-step explanation:
edge 2023
Find the HCF of 4x³yz"; 30x²y²z² and 36x³y²z³
The highest common factor (HCF) for the expression 4x³yz"; 30x²y²z² and 36x³y²z³ is 2x²yz.
What is H.C.FThe H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.
We shall derive the HCF of the three expressions by expressing them as multiples of their factors as follows;
4x³yz = 2 × 2 × x × x × x × y × z
30x²y²z² = 2 × 3 × 5 × x × x × y × z × z
36x³y²z³ = 2 × 2 × 3 × 3 × x × x × x × y × y × z × z × z
HCF = 2 × x × x × y × z
HCF = 2x²yz
Therefore, the highest common factor for the expressions 4x³yz"; 30x²y²z² and 36x³y²z³ with the understanding of HCF is 2x²yz.
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Which expression is the factored form of−4.5n+3?
Responses
A. −3(1.5n−1)
B. −1.5(3n+2)
C. −1.5(−3n+2)
D. −3(1.5n+1)
An expression which is factored form of given expression -4.5n+3 is −3(1.5n−1)
The correct answer is an option (A)
In this question we have been given an expression -4.5n + 3
We need to identify an expression which is factored form of given expression.
If we simplify the factored form then it must be a give expression.
consider ,A. −3(1.5n−1)
= -4.5n + 3
consider an expression B. −1.5(3n+2)
= -4.5n - 3
consider C. −1.5(−3n+2)
= 4.5n - 3
consider D. −3(1.5n+1)
= -4.5n - 3
Therefore, an expression which is factored form of given expression -4.5n+3 is −3(1.5n−1)
The correct answer is an option (A)
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name the place value of highlighted digits 879.8687
in how many ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards? a) 120 b) 42,504 c) 5,100,480 d) 25 e) 4 f) none of the above.
In 42504 ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards.
Define combination.Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
Given,
Ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards:
Through combination:
²⁴C₅
24!/51(24-5)!
Simplifying:
24!/5!(19!)
24 × 23× 22× 21× 20×19!/5! × 19!
24 × 23 × 22 × 21 × 20/ 5× 4 × 3 × 2 × 1
42504
In 42504 ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards.
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What is the size of an angle called a revolution
Answer:
Step-by-step explanation:
The size of the angle of one whole revolution is 360 degrees. A revolution describes the angle of a circular surrounding sector as it rotates! This means one full revolution is 360 degrees. And half of a revolution is 180 degrees!
What type of angles are labeled and what is the value of m? Show your work.
Answer:
see explanation
Step-by-step explanation:
m + 20 and 100 are vertically opposite angles and are congruent , then
m + 20 = 100 ( subtract 20 from both sides )
m = 80
The angles are vertically opposite angles and value of m is 80°
What is vertically opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Given two angles which are Vertically opposite to each others,
We know Vertically opposite angles are equal to each other, so,
m + 20° = 100°
m = 100° - 20°
m = 80°
Hence, the value of m is 80°
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correct answer gets brainliest!
Answer:
arc RP = 136°
Step-by-step explanation:
the inscribed angle PQR is half the measure of its intercepted arc, then
arc PR = 2 × ∠ PQR = 2 × 68° = 136°
Find the values of x and y.
yo
40°
Answer:
20°,70°
Step-by-step explanation:
X+y+90=180
X+y=90
20+y=90
y=70°
2x+180-40=180
2x=40
X=20°
The measures of angles of the triangle is x = 20° and y = 70°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , let the side be represented as BD , which cuts AC at point D
And , the measure of BD = measure of DC ( given )
And , the measure of ∠ABC = 90°
The measure of ∠BDA = 40°
So , the measure of angle ∠BDC = 140° ( angles on a straight line )
Now , the measure of angle ∠DBC = measure of ∠BCD ( given )
So , the measure of x = ( 180 - 140 ) / 2
x = 20°
And , the measure of y = 180° - 40° - 70°
y = 70°
Hence , the angles of triangle are x = 20° and y = 70°
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a conical tent is to accommodate 11 persons. each person must have 4 m2 of the space on the ground and 20 m3 of air to breathe. find the height of the cone.
The height of the conical tent is 15 metres.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc toour question-
Let the radius of the base of the conical tent be r metres and its height be h metres. Area of the base = ( 4 × 11 ) m 2 = 44 m 2 ⇒ π r 2 = 44 m 2 =(4×11)m2=44m2⇒πr2=44m2(i) Volume of the cone = ( 20 × 11 ) m 3 = 220 m 3 =(20×11)m3=220m3 ⇒ 1 3 π r 2 h = 220 m 3 ⇒ π r 2 h = 660 m 3 ⇒13πr2h=220m3⇒πr2h=660m3.(ii) On dividing (ii) by (i), we get π r 2 h π r 2 = 660 m 3 44 m 2 ⇒ h = 15 m πr2hπr2=660m344m2⇒h=15m Hence, the height of the tent is 15 metreslearn more about unitary method click here:
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Which equation represents a line which is parallel to the y-axis?
A.x=−4y
B.x=−8
C.y=x−3
D.y=−7
An equation for a line that is parallel to the y - axis, based on the options, is B.x = −8.
How to know lines parallel to the y - axis?The y - axis is a vertical line which runs straight through the x - axis. This means that the coordinates of the y - axis are expressed in terms of 0. The y - axis intercepts the x - axis at point 0 which is why the coordinates are:
x = 0
Any line that is parallel to the y - axis will therefore be expressed in terms of x as well. The equation for a line that is parallel to the y - axis is therefore:
x = -8
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an experiment involves selecting a random sample of 256 middle managers for study. one item of interest is their annual incomes. the sample mean is computed to be $35,420.00. if the population standard deviation is $1,650.00, what is the standard error of the mean?
Answer:
Step-by-step explanation:
mu = 35,420 sigma = 2,050 n = 256 s...
On Monday, a museum had 500 visitors. On Tuesday, it had 900 visitors. Estimate the percent change in the number of visitors to the museum. Use pencil and paper. Estimate how many people would have to visit the museum on Wednesday to have the same estimated percent change between Tuesday and Wednesday as between Monday and Tuesday. Explain your answer.
The percentage increase regarding the change in visitor is 80%.
How to calculate the percentage?From the information, the museum had 500 visitors and on Tuesday, it had 900 visitors.
It should be noted that the increase in numbers will be:
= 900 - 500
= 400
The percentage increase will be:
= Increase / initial value × 100
= 400/500 × 100
= 0.8 × 100
= 80%
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A tortoise and a hare run in the NYC marathon (26.2 miles). The hare crosses the finish line first in a time of 4 hours and 30 minutes. How fast did the hare run?
The hare ran 5.8 mph to win the race.
What is Speed?Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
Given that, a tortoise and a hare run in the NYC marathon for 26.2 miles, the hare crosses the finish line first in a time of 4.5 hours.
Speed = distance/time
Speed of hare = 26.2/4.5 = 5.8 mph
Hence, The hare ran 5.8 mph to win the race.
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Type the correct answer in the box. If necessary, use / for the fraction bar.
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the pris
expressed as a fraction in simplest form, is
The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.
How to calculate the volume of a pyramid?
The volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.
b is the base area.
Volume of this prism = 1/2 × b × hHere, both pyramids have the same base area as the prism, their volume is given by:
Volume of a pyramid = (1/3 × b × h) + (1/3 × b × h)
Volume of a pyramid = 2/3 × b × h
Also, the volume of this prism = 1/2 × b × h
Thus, the ratio is given by:
Ratio = (2/3 × b × h)/(1/2 × b × h)
Ratio = 2/3 × 1/2
Ratio = 1/3.
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If one factor of -24x^4y^5+16x^2y^3 is -8x^2y^3 what is the other factor
The polynomial is, -24x⁴y⁵+16x²y³. One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method.
What is polynomial?Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The terms degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is,
=-24x⁴y⁵+16x²y³
One of the factor is (-8x²y³)
=-8x²y³*(3x²y²-2)
So other factor is 3x²y²-2.
One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method for the The polynomial -24x⁴y⁵+16x²y³.
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students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. the students collect a random sample of 46 students. the mean of the sample is 12.5 units. the sample has a standard deviation of 1.8 units. what is the 95% confidence interval for the average number of units that students in their college are enrolled in? assume that the distribution of individual student enrollment units at this college is approximately normal.
The 95% confidence interval for the average number of units that students in their college are enrolled in is (11.46,12.53)
We are given the number of students, n = 46, and the mean of the sample which is x= 12.5, and the standard deviation of the sample which is s= 1.8 , the formula we are referring to for calculating the confidence interval which is :
x ± t (s/√(n))
since for this case, the degree of freedom is one less than the mean, which is 45, the critical value for the confidence of 95% with the degree of freedom of 45 is 2.015
x + t(s/√(n)) = 12.5 +2.015*(1.8/6.78)= 12.53
x - t(s/√(n))= 12.5 -2.015*(1.8/6.78)= 11.46
The interval is (11.46,12.53)
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(giving brainliest)
Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.
sophia earns $___ per hour (less/more) than ruby.
By performing some simple mathematical operations, we know that Sophia earns $366 per hour.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).So, to calculate how much Sophia earns in 1 hour:
Total earnings are 1098.20.Total working hours are 38.Now, calculate earnings per hour:
1098.20/38366.06Rounding off: $366
Therefore, by performing some simple mathematical operations, we know that Sophia earns $366 per hour.
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Complete question:
Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.
sophia earns $___ per hour
Find the perimeter of a rug that measures 2 yards by 11/12 yards
Answer:
5 5/6 yards
Step-by-step explanation:
You want the perimeter of a rug that is 2 yards by 11/12 yards.
PerimeterThe formula for the perimeter of a rectangle is ...
P = 2(L+W)
Using the given values, we find the perimeter to be ...
P = 2(2 yd + 11/12 yd) = 4 22/12 yd = 5 5/6 yd
The perimeter of the rug is 5 5/6 yards.
Solve for the value of e.
Answer: e=
(9e-8)
(4e+6)
Submit Answer
posse
Answer:
Step-by-step explanation:
Expand: 36e^2+12e-48=e
Subtract e from both sides 36e^2+11e-48=0
Using the quadratic formula, e=(-11+-sqrt7033)/72
what do you call the result of this opperation 2x+5
Answer:
addition?
Step-by-step explanation:
a system is tested for faults once per hour. if there is no fault, none will be detected. if there is a fault, the probability is 0.78 that it will be detected. the tests are independent of one another. given that a fault has gone undetected for 2 hours, what is the probability that it will be detected in the next hour? round the answer to two decimal places. numeric response
The probability that it will be detected in the next hour is 0.04.
For a system, a fault test each hour is a Bernoulli with success defined as detecting a fault.
The probability of success is 0.78
Let 'x' denote the number of tests conducted up to and including the test that detected a fault.
Then x* - Geometry (0.78).
The probability mass function of the random variable x is;
P(x) = { P( 1 - P )ˣ⁻¹ x = 1,2, . . .
{ 0 otherwise
The Probability that a fault will be detected on the third hour, given that it has gone undetected during the first two hours is;
P(X = 3 / x = 2) = P(X = 3 and x > 2) / P(x > 2)
= P( x = 3 ) / 1- P(x ≤ 2)
= P( x = 3 ) / 1-P(x = 1) - P(x = 2)
= P(3) / 1-P(1) - P(2)
= (0.78)(0.2)² / 1 - (0·78)(0.2) - (0.78)(0.2)
= (0.78)(0.04) / 1 - (0.78)(0.2) - (0.78)(0.2)
= 0.0312 / 1 - 0.156 - 0.156
= 0.0312 / 0.688
= 0.04
The probability that it will be detected in the next hour is 0.04
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Select the correct answer.
Which of the following quantities are discrete?
1. the number of students who passed the English test
11.
the speed of a car
III. the temperature throughout the day
IV. the number of pages in a book
OA. I and IV
OB. I, II, and III
OC. only IV
OD. II and III
The correct answer is (A) I and IV. The first and fourth quantities are discrete.
What is discrete quantity?
A discrete quantity has a limited range of possible values. For instance, the number of students in a classroom is a discrete quantity because the range of possible values is not continuous and can only be a positive integer.
It can only have certain values, not just any value, according to the definition of discrete. One discrete quantity is the number of sheep in a field.
Consider, the first statement
"The number of students who passed the English test".
In this quantity a certain value is considered.
Hence this quantity is discrete.
In second and third statement there is no certain quantity is considered.
Hence, these quantities are not discrete quantities.
Also in the last statement there is come quantity of pages is considered.
Hence, this quantity is discrete quantity.
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A right triangle's hypotenuse is 1 cm longer than twice the length of the shortest side.
The third side is 1 cm less than twice the shortest side.
Find the length (in cm) of the hypotenuse.
The length (in cm) of the hypotenuse is 17 cm.
What is Pythagoras' theorem?According to Pythagoras' theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
H² = P² + B²
Let the hypotenuse = H
Shortest side = B
Third side = P
So, according to the question
H = 2B +1 ..... (1)
P = 2B -1 ..... (2)
Use Pythagoras' theorem,
H² = P² + B²
(2B+1)² = (2B-1)² + B²
4B² + 1 + 4B = 4B² + 1 - 4B + B²
4B = - 4B +B²
B² =-8B
B = - 8
But the length cannot be negative, so B = 8 cm
The length of the shortest side = 8 cm
So the hypotenuse will be
H = 2B + 1
= 2(8) + 1
= 17 cm
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What is the distance between (−1, 4) and (5, 4)?
Draw a line connecting the points. This is a
line.
The points have the same
.
To find the distance, use the expression
.
The distance between the points is
units.
The distance between points (-1, 4) and (5, 4) is 6 units.
Distance between two pointsFrom the question, we are to determine the distance between two points.
The given points are (-1, 4) and (5, 4)
Using the formula for calculating the distance between two points
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
From the given information,
x₁ = -1
x₂ = 5
y₁ = 5
y₂ = 4
Put the parameters into the equation
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(5 - (-1))² + (4 - 4)²]
d = √[(5 + 1)² + 0²]
d = √(6²)
d = 6 units
Hence, the distance is 6 units.
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Answer:
Step-by-step explanation: The distance between two points can be calculated using the formula:
d = √ ((x2 – x1)² + (y2 – y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the two points are (-1, 4) and (5, 4). Therefore:
d = √ ((5 - (-1))² + (4 - 4)²)
d = √ (6² + 0²)
d = √36
d = 6
Therefore, the distance between (-1, 4) and (5, 4) is 6 units.
I hope that helps! Let me know if you have any other questions!
For triangle XYZ, m∠X = (5g + 18)° and the exterior angle to ∠X measures (8g + 32)°. Find the measure of ∠X and its exterior angle. Interior angle = 68°; exterior angle = 112° Interior angle = 112°; exterior angle = 68° Interior angle = 73°; exterior angle = 105° Interior angle = 105°; exterior angle = 73°
The interior angle and the exterior angle of triangle XYZ is 68° and 112° respectively.
What is a triangle?
A triangle is a plane shape that has three sides.
Recall that, the sum of a interior angle and an exterior angle of a triangle is 180°.
Using the formula,
a+b = 180°............ Equation 1Where:
a = interior angle b = exterior angle.From the question,
Given:
a = m∠X = (5g + 18)° b = ∠X = (8g + 32)°Substitute these values into equation 1
(5g + 18)+ (8g + 32) = 180Solve for g
13g + 50 = 18013g = 130g = 130/13g = 10Hence, interior angle of X = (5×10)+18 = 50+18 = 68° and exterior angle of X = (8×10)+32 = 80+32 = 112°
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Answer: I belive the answer is A
Step-by-step explanation: i could be wrong
Given the circle below with chords ST and UV. Find the length of TW. Round to the nearest tenth if necessary.
Answer:
TW = 16.8
Step-by-step explanation:
When two chords of a circle intersect inside the circle, then the product of the lengths of the chords of one segment equals the product of the lengths of the segments of the other chord.
Here,
TW × WS = UW × WV
TW × 30 = 18 × 28
TW = (18 × 28)/30
TW = 16.8
The value of TW is 16.8 in a circle.
What is a chord of a circle?The product of all the chord values of one segment, where two chords from a circle cross from within the circle, equaled the product of the chord measures of each additional segment. The value of the cord will be the distance with respect to the circle that is present in the circle.
The value of WS = 30
The value of UV = 18
The value of WV = 28
The value of TW is:
TW × WS = UW × WV
TW × 30 = 18 × 28
TW = (18 × 28)/30
TW = 16.8
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The temperature at the end of the day was 87 degrees. The temperature had decreased twice during the day, once by 9 degrees and another time by 7 degrees.
Which expression shows what the temperature was at the start of the day?
71+9+771+9+7
87−9−7
87+9+7
87+9−7
The temperature at the end of the day was 87 degrees. The temperature had decreased twice during the day, once by 9 degrees and another time by 7 degrees.
Which expression shows what the temperature was at the start of the day?
71+9+771+9+7
87−9−7
87+9+7
87+9−7
please help . find abc
The required value of ∠ABC in the given triangle is 50°
Explain the relation between interior and exterior angles?The relation between interior and exterior angles of the triangle are related as, the sum two interior angles of triangle is equal to the opposite exterior angle of that triangle.
As we see in the given question, the sum of angle ∠A and ∠B is equal to the exterior angle which is 145°
According to the question:⇒ 2x° + 95° = 145°
⇒ 2x° = 145° - 95°
⇒ 2x = 50°
Thus, required answer of angle ∠ABC is 50°
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Last Spring, several of the Mt. Hood Community College (MHCC) jazz groups held a joint concert. Tickets sold for $8.00 to the general public and for $5.50 for students and staff. Ticket sales brought in $2,582.50. If 390 people attended the concert, how many were MHCC students and staff, and how many were general public? Using the variable p for the general public, and s for students/staff, write a system of equations to determine the breakdown of attendees.
The number of general public and students are 175 and 215 respectively.
How to calculate the value?Based on the information given:
Let p = general public
Let s = students/staff
390 people attended the concert. This will be:
p + s = 390 .... i
Tickets sold for $8.00 to the general public and for $5.50 for students and staff. Ticket sales brought in $2,582.50. This will be:
8p + 5.5s = 2582.5 .... ii
From equation i
p = 390 - s
8p + 5.5s = 2582.5 .... ii
8(390 - s) + 5.5s = 2582.5
3120 - 8s + 5.5s = 2582.5
Collect like terms
- 8s + 5.5s = 2582.5 - 3120
-2.5s = - 537.5
Divide
s = 537.5 / 2.5
s = 215
Students = 215
Note that p + s = 390
p + 215 = 390
P = 390 - 215
P = 175
Public = 175
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