There are 16 different truth tables of compound propositions are there that involve the propositional variables p and q
What do you mean by compound proposition?
A truth table for compound propositions reveals the conditions under which the compound assertion is true. This uses more than one of the logical operators "and," "or," "negation," etc., but otherwise is identical to basic truth tables for these logical operators.
The variety of truth tables indicates the range of p and q-based functions that are possible.
Now that there are two propositions for which we are creating truth tables, p and q, any truth table will have four rows.
Each of these four rows can have a value of 0 or 1, hence there are a total of [tex]2^{4}[/tex]=16 possible ways in which these four rows can be given values.
Therefore, there are 16 different truth tables of compound propositions are there that involve the propositional variables p and q
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use scenario 6-16. on average, how many people will the reporter have to stop before he finds his first democrat?
On an average, 1.67 people will have to be stopped by the reporter before he finds his first democrat.
What is democrat?A supporter of democracy, Democratic Party subscriber, a democratic government, or a system of government where the people rule, may be referred to as a Democrat, Democrat, or Democratic.
The central value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a given set of numerical data.
For instance, (2+3+4)/3 = 9/3 = 3 is the average of 2, 3, and 4. As a result, in this instance, 3, which also includes 2, 3, and 4, serves as the central value. Finding the average value of a group of numbers is what average means, then.
Average is calculated by dividing the total number of values by the sum of the individual values.
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An airplane travels at a bearing of 100° (clockwise from North) at 180 km/hr. A wind redirects the plane, blowing at 30 km/hr at a bearing of 42°. Find the true speed of the plane and its new direction by modeling the speeds and directions as vectors.
The first step is converting both the velocity and the wind in vector form, as follows:
Velocity: [tex]\vec{v_1} = 180 \text{ km/hr} \angle 100^\circ[/tex]Wind: [tex]\vec{v_2} = 30 \text{ km/hr} \angle 42^\circ[/tex]Then the true speed of the plane is given by the addition of these two vectors, as follows:
[tex]\vec{v_1} + \vec{v_2} = \sqrt{|v_1|^2 + |v_2|^2 + 2 \cdot |v_1| \cdot |v_2| \cdot \cos(\theta)}[/tex]
The magnitudes of each vector are given as follows:
[tex]|v_1| = 180[/tex].[tex]|v_2| = 30[/tex].The angle between these two vectors is given as follows:
[tex]\theta = 100^\circ - 42^\circ = 58^\circ[/tex]
Thus the resulting speed is obtained as follows:
[tex]\vec{v_1} + \vec{v_2} = \sqrt{180^2 + 30^2 + 2 \cdot 180 \cdot 30 \cdot \cos(58^\circ)} = 197.54[/tex]
The resulting angle of the plane is then obtained as follows:
[tex]\angle = \arctan\left(\frac{|v_1| \cdot \sin(\theta) + |v_2| \cdot \sin(\theta_2)}{|v_1| \cdot \cos(\theta) + |v_2| \cdot \cos(\theta_2)}\right)[/tex]
Hence:
[tex]\angle = \arctan\left(\frac{180 \cdot \sin(58^\circ) + 30 \cdot \sin(42^\circ)}{180 \cdot \cos(58^\circ) + 30 \cdot \cos(42^\circ)}\right)[/tex]
[tex]\angle = 59.87^\circ[/tex]
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Answer:
197.5 km/h
Step-by-step explanation:
You want the resultant speed with an airplane at a speed of 180 km/h at 100° is acted upon by a wind at a speed of 30 km/h at 42°. Angles are bearings CW from north.
SolutionA vector calculator makes short work of this. The resultant speed is ...
197.5 km/h at 92.6°
Law of cosines
The law of cosines can be used to find the side opposite the known angle in the triangle with sides 30 km/h and 180 km/h. The known angle is ...
180° -(100° -42°) = 122°
So, the resultant speed is ...
c = √(a²+b²-2ab·cos(C))
= √(30² +180² -2(30)(180)·cos(122°)) ≈ √39023.13
c ≈ 197.543
The true speed of the plane is about 197.5 km/h.
__
Additional comment
You will notice that we used bearing angles directly in the calculator computation. As long as angles are consistently measured, it doesn't matter how they're measured.
When plotting the vectors on the Cartesian plane, we need to subtract the bearing angles from 90° to make them correspond to the vectors plotted on a map with north at the top.
a²bc²-5 I need the answer pleaeeeeeees
Answer:
Without knowing the values of the variables in the given expression, it is impossible to determine the value of the expression. In general, the expression is a combination of a number (A), two variables (b and c), and an exponent (2). The value of the expression will depend on the values of these variables and the operations that are performed on them. For example, if A=3, b=2, and c=4, then the value of the expression would be:
(3^2 * 2 * 4^2) - 5
Which is equal to 29. However, if the values of the variables were different, then the value of the expression would also be different. Therefore, it is impossible to determine the value of the expression without knowing the values of the variables.
Step-by-step explanation:
Answer:
(3^2 * 2 * 4^2) - 5, hope it helps.
What is the exact circumference of a circle with a radius of 17 millimeters?
A.
17Ï€ millimeters
B.
34Ï€ millimeters
C.
68Ï€ millimeters
D.
8.5Ï€ millimeters
The exact circumference of the circle with radius 17 millimeters is 34π millimeters , the correct option is (b) .
In the question ,
it is given that ,
the radius of the circle is given as = 17 millimeter
we have to find the exact circumference of the circle,
we know that the formula to find circumference of the circle is ;
circumference = 2×π×r
Substituting the value of radius in the circumference formula ,
we get ;
circumference = 2×π×17
Simplifying further ,
we get ,
= 34π
Therefore , the exact circumference of the circle is = 34π .
The given question is incomplete the complete question is
What is the exact circumference of a circle with a radius of 17 millimeters ?
(a) 17π millimeters
(b) 34π millimeters
(c) 68π millimeters
(d) 8.5π millimeters
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what is the earliest finish time for activity 10-11 (far right-hand side) if the earliest start time of 8-10 (upper left-hand side) is 12 and the earliest start time of 9-10 (lower left-hand side) is 13?
The earliest finish time for the activity 10-11(far right-hand side) is 23 if the earliest start time of activity 8-10 and activity -10 is 12 and 13 respectively.
The depicted graph represents the critical path method(CPM)
Given,
Earliest start time of 8-10 = 12
Earliest start time of 9-10 = 13
From the network, it is observed that at 10, two networks are connecting, we need to take the largest earliest finish time from both the activities as earliest start time for 10-11.
Earliest finish time = earliest start time + activity duration
Earliest finish time for 8-10 = 12+4=16
Earliest finish time for 9-10 = 13+2=15
From above two times, 8-10's earliest finish time is the greatest. So, consider 16 as earliest start time for 10-11.
Now,
Earliest finish time for 10-11= earliest start time + activity duration=16+7=23
Thus, the earliest finish time for 10-11 is 23.
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What is the solution for −6x+9≤2−5(x+1)?
Answer: X[12)
Step-by-step explanation:
-6x+9<2-5(x+1)
-6x+9<-5(x+1)+2
-6x+9<-(5x+5)+2
the general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.
A. True
B. False
If your data analysis shows that there is a chance that a hypothesis is false, the standard practice is to reject it. It is b). False.
Scientists can either reject the null hypothesis (which implies that there is a clear, causal connection between the two observations) or. not proving the null hypothesis (meaning the test has not identified a consequential relationship between the two phenomena). If the test statistic is greater than the crucial value in an upper-tailed test, the decision rule requires that researchers reject H0.
If the test statistic is less than the crucial value in a lower-tailed test, the decision rule requires that the investigators reject H0. Checking for sufficient evidence to refute the null hypothesis is the aim of hypothesis testing. To determine whether there is sufficient evidence to reject the null hypothesis, in other words. If there is insufficient support, we cannot rule out the null hypothesis.
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Combine like terms. 5x + 2x Question 3 options: 7x 7 3x 7x(small 2 on top)
Answer:
7x
Step-by-step explanation:
When combining like terms, you keep the bases the same and add the constants.
the "x's" are the base and the constants are 5 and 2:
(5 + 2)x = 7x
What function equation is represented by the graph
f(x)=-3z+6.
F(x)=6x-3.
F(x)=6z+2.
F(x)=3x+2
The equation represented by the graph is f(x) = -3x + 6
What is a linear function?
A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line
'b' is the y-intercept of the line
'x' is the independent variable
'y' (or f(x)) is the dependent variable.
the straight line cuts the axes at (0,6) and (2,0)
Equation of straight line in slope-intercept form is f(x) = mx + c
when x = 0 f(x) = 6
6 = m(0) + c
c = 6
when x = 2, f(x) = 0
0 = 2m + c
2m = -c, but c = 6
2m= -6
m = -6/2
m = -3
Equation of line becomes f(x) = -3x + 6
In conclusion f(x) = -3x + 6 is the equation that is represented by the graph.
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Fill in the missing numbers to complete the factorization. Some of the numbers could be negative. Type the numbers in increasing order. = ( )( )( ).
The numbers in the increasing order are:
(x-1)>(x+1)>(x+2)
What is meant by factorization?In mathematics, factorization is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. The factorization of the integer 12, for instance, might be represented as 3 times 4. In the context of integers, factorization was first studied by Greek mathematicians. They established the basic theorem of mathematics, which states that every positive integer can be factored into a product of prime numbers but cannot be factored further into integers larger than 1. Up to the order of the factors, this factorization is also distinct.
It has also been studied for ages how to factor polynomials.
The given equation is:
x³+2x²-x-2
Now, we have to do factorization for the given equation.
(x+1)(x²+x-2)
(x+1)(x²+2x-x-2)
(x+1)(x(x+2)-1(x+2))
(x+1)(x-1)(x+2)
This is the factorized form of the given equation.
Therefore, the numbers in the increasing order are:
(x-1)>(x+1)>(x+2)
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Need help, it’s a word form answer
Answer: Yes, he is correct
Step-by-step explanation:
[tex]\frac{1}{3}*\frac{2}{2}=\frac{2}{6} +\frac{1}{6}=\frac{3}{6}[/tex] The (*) means x or multiply
A recipe calls for 6 ounces of raisins. How many milligrams of raisins is this? (1 ounce = 28.35 grams and 1 gram = 1,000 milligrams)
170.1 milligrams
1,701 milligrams
17,010 milligrams
170,100 milligrams
A recipe calls for 170,100 milligrams of raisins.
What are units ?
Units are the measuring and contrasting devices for many things. When all measurement units are identical, comparisons are simple. Depending on how they are used, several units can be categorized.
Measurement is the process of comparing an unknown quantity to an already known quantity. A numerical value with specific units is the measurement's output. Any given object can have its length, mass, capacity (volume), and temperature measured.
1 ounce = 28.35 grams
6 ounces = 6*28.35 grams = 170.1 grams
1 gram = 1,000 milligrams
170.1 grams = 170.1 * 1,000 milligrams = 170,100 milligrams
So, a recipe calls for 170,100 milligrams of raisins.
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Answer:
A recipe calls for 170,100 milligrams of raisins.
Step-by-step explanation:
I took the exam and got it right
if 13 cards are randomly selected from a standard 52-card deck, must at least 2 be of the same denomination (2, 3, 4, , j, q, k, a)? why? (select all that apply.)
No. For example, thirteen hearts could be selected: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. No two of these are of the same denomination.
What is a denomination?
A denomination is a classification system that identifies the nature or worth of an object. Denomination frequently relates to currency.
Here, we have
13 cards are randomly selected from a standard 52-card deck.
This is not necessary.
All 13 cards may be of different denominations.
At least 2 need not be of the same denomination.
Hence, thirteen hearts could be selected: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. No two of these are of the same denomination.
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helpppppppppppppppppp
the quotient of x and3 is less than or equal to 5 write an inequality for the phrase
Answer:
[tex]\frac{x}{3} \leq 5[/tex]
Hope this helps! :)
(a) given any set of seven integers, must there be at least two that have the same remainder when divided by 6? to answer this question, let a be the set of 7 distinct integers and let b be the set of all possible remainders that can be obtained when an integer is divided by 6, which means that b has
Given any set of seven integers there are no two numbers that have same remainder when divided by 6.
The remainder is the value left after the dividion. If a number is not completely divisible by another number then we are left with a value once the division is done. This value is called the Remainder.
Given any set of seven integers, there must be at least two numbers that have same remainder when divided by 6.
So there can be six remainders when divided by 6 i.e. 0,1,2,3,4 and 5.
According to the Piegeonhole principle,
in any set of seven integers two must have the same remainder when divided by seven.
Consider the set of integers 0,1,2,3,4,5 and 66. All of these have different remainders upon division by 8.
Hence there need not be two numbers such that they have same remainders when divided by 6.
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How do you read Square-1?
A Rubik's Cube puzzle variation is called Square-1. You must be familiar with the fundamental notation used to denote the puzzle's various moves and positions in order to read the puzzle.
The face serves as the fundamental unit of notation in Square-1. A Square-1 puzzle has four faces, and each face is identified by a letter: U denotes the top face, D the bottom face, F the front face, and B the back face.
You must specify the face you are turning and the direction you are turning it in order to signify a move. For instance, a move like "U" turns the top face in a clockwise direction, whereas "U'" turns it in a counterclockwise direction.
You can adjust the puzzle with a few more complex moves in addition to the fundamental ones. For instance, the move "r" denotes moving the right face in a clockwise direction, while "r'" denotes turning it in a counterclockwise direction.
You can manipulate the problem to find the solution by combining these movements and employing them in various combinations. Reading and utilizing the notation for Square-1 requires effort, but with persistence and time, you may learn to solve the puzzle fast and effectively.
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Select all of the algebraic expressions that could represent the phrase below.
"nine more than the product of 5 times the number of tires t"
9 + 5t
5 ▪ t + 9
(9 + 5)t
(5 × t) + 9
5 + 9t
Answer:
A ; B ; D
Step-by-step explanation:
5t + 9
for commutative property
9 + 5t
5t = 5 x t
5 · t + 9
(5 x t) + 9
simplify the expression -4/7i
Answer:
4i/7
Step-by-step explanation:
ASAPPPPP 45 POINTS HELP HELP DUE IN 2 AND A HALF HOURS
1. During week 0, calculate how many more ants there are in ant colony A than in ant colony B
2. Use the equation to identify the growth rate of ant colony A
3. Find the growth rate of ant colony B
4. Use 1-2 complete sentences to compare the growth rats of ant colony A with ant colony B.
Function: a(x)=210(1.12)^x
Day 0 1 2 3 4 5 6 7
# of ants 210, 235, 263, 295, 330, 370, 415, 464
1) 20 more ants there are in ant colony A than in ant colony B
2) The growth rate of ant colony A is 12%
3) The growth rate of ant colony B is 15%
4) The growth rate of ant colony A is 3% less than that of ant colony B.
What is exponential growth function ?
A process called exponential growth sees a rise in quantity over time. When a quantity's derivative, or instantaneous rate of change with respect to time, is proportionate to the quantity itself, this phenomenon takes place.
1) colony A :
Number of ants = 210
colony B:
Number of ants = 190 ( from the graph )
Find the difference: 210 - 190 = 20 ants
So, 20 more ants there are in ant colony A than in ant colony B
2 ) Exponential growth function: y= a(b)^x
b= 1+ r , r is the growth rate as decimal
We have a(x)=210(1.12)^x
b= 1.12 = 1+0.12
So, r= 0.12 = 12%
3 ) (x,y) = (1,220)
y= a(b)^x
=> 220 = 190(b)^1
=> b= 220/190 = 1.15
b= 1+r
r= b - 1 = 1.15 - 1 = 0.15 = 15%
The growth rate of ant colony B is 15%
4) The growth rate of ant colony A is 3% less than that of ant colony B.
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1) 20 more ants there are in ant colony A than in ant colony B
2) The growth rate of ant colony A is 12%
3) The growth rate of ant colony B is 15%
4) The growth rate of ant colony A is 3% less than that of ant colony B.
What is exponential growth function ?
A process called exponential growth sees a rise in quantity over time. When a quantity's derivative, or instantaneous rate of change with respect to time, is proportionate to the quantity itself, this phenomenon takes place.
1) colony A :
Number of ants = 210
colony B:
Number of ants = 190 ( from the graph )
Find the difference: 210 - 190 = 20 ants
So, 20 more ants there are in ant colony A than in ant colony B
2) Exponential growth function: y= a(b)^x
b= 1+ r , r is the growth rate as decimal
We have a(x)=210(1.12)^x
b= 1.12 = 1+0.12
So, r= 0.12 = 12%
3) (x,y) = (1,220)
y= a(b)^x
=> 220 = 190(b)^1
=> b= 220/190 = 1.15
b= 1+r
r= b - 1 = 1.15 - 1 = 0.15 = 15%
The growth rate of ant colony B is 15%
4) The growth rate of ant colony A is 3% less than that of ant colony B.
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if the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon?
There are "P(20, 10) - P(15, 10)" options (ways) to distribute the coupons so that at least one woman receives a coupon.
What do you mean by permutation?
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
There are P(20, 10) ways to distribute the coupons if they are different, with the only restriction being that no more than one coupon can be given to a shopper. To ensure that all of the coupons go to the guys, there are P(15, 10) ways to distribute them. In order to ensure that at least one coupon is given to a woman, there are P(20, 10) - P(15, 10) options to distribute the coupons.
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Complete Question
10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15 of the shoppers are men.
If the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon?
what is 4^4 plus 3?????????????????????????
The value of the form 4^4 plus 3 is 259
What is scientific notation?Scientific notation can simply be defined as a way of expressing numbers with extreme values in a convenient form.
It is also known as standard index form, standard form and scientific form.
It is commonly used for complex calculations with very long numbers.
It is also described as a method of expressing numbers in the terms of a decimal number.
Given the expression;
4^4 plus 3
4^4 is represented as 4 × 4 × 4 × 4
Multiply the values
256 + 3
Add the values
259
Hence, the value is 256
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Sarah is twice as old as her younger brother. The sum of twice her age and three times her brother's age is
35. Write and solve a system of equations to do to determine how old Sarah is and how old her brother is.
Answer: Her brother is 5 years old.
Step-by-step explanation:
s = 2b
4b + 3b = 35
7b = 35
First, I used s to represent Sarah's age. We are told that she is twice her brother, I used b to represent her brother's age. The sum of twice her age is 4 times her brother's age (2b + 2b) and 3 times her brother's age is 3b.
How is muscular strength commonly measured ?
Muscular strength can be measured based on the amount of weight lifted.
Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).
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Write the inequality that would graph the following:
The inequality to graphed.
y < (-1/2)x + 4
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The equation of the line from the graph.
y = mx + c
Two coordinates from the graph:
(8, 0) and (0, 4)
m = 4/-8
m = -1/2
Now,
(8, 0) = (x, y)
0 = (-1/2)8 + c
c = 4
Now,
y = (-1/2)x + 4
Thus,
y < (-1/2)x + 4 is the inequality that will graph the given graph.
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m<1 = please help will give brainliest
Answer:
88
Step-by-step explanation:
The price of a new car was 12500 it is reduced to 11625 what is the percentage reduction.
The price of new car is reduced by $825 from the original price $12,500 which implies the price of car after reduction is $11,625 i.e
The percentage reduction is 7 .
Percentage is calculated by dividing the value by total value and then multiply with 100.
We have given that,
The price of a new car = $12,500
After the some reduction in price
then the price of car = $11,625
The reduction in total price of car = original price - price after reduction
= $12,500 - $11,625
= $875
Now, we have to calculate the reduction of price in percentage.
Using the percentage reduction formula,
P% = (original price - price after reduction )× 100 /original price
=> percentage reduction = ( 875/12500)×100
=> percentage reduction = 875/125 = 7
Hence, the reduction is 7% .
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How many solutions does 6-3x=4-x-3-2x have?
OA. No solutions
OB. Two solutions
OC. Infinitely many solutions
OD. One solution
SUBMIT
Answer:
D. One solution
Step-by-step explanation:
6-3x=4-x-3-2x
Combine your like-terms.
6-3x=1-3x
Subtract 1 to both sides (on the right side it cancels out).
5-3x=3x
Add 3 on both sides (on the left side it cancels out).
5=6x
Divide both sides by 6.
x=0.83
among all collections of positive integers whose sum is 28, what is the largest product that the integers in s can form?
The largest product we can get is: 26244,
What is integers?
Integers are whole numbers that are either positive, negative, or zero. They are the building blocks of the number system and are used to represent quantities or perform calculations. Integers are represented in the form of digits and can either be written in the form of standard numbers, Roman numerals, or in the form of exponential notation. Integers are used in many areas of mathematics and are a fundamental concept in the study of algebra, geometry, and calculus. Integers are also used in everyday life, such as in accounting and finance, where they represent monetary values.
We know that for 28,
(k-2)*2 <= k
2k-4 <= k
k <= 4
So, we should only consider numbers less than or equal to 4.
Now, 4 can be replaced by 2*2 and there is no point in taking 1 since it will not increase product result.
So, we are left with 2 and 3. Some possible solutions are:
{3,3,3,3,3,3,3,3,2,2} or {3,3,3,3,3,3,2,2,2,2,2} etc.
Out of all these, the maximum product we can get is from {3,3,3,3,3,3,3,3,2,2} which is: 26244
So, The largest product we can get is: 26244
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The amount of time Alex spent on his math
homework was 9 minutes less than twice the
amount of time it took him to complete his science
homework. If it took him 1 hour and 15 minutes
total to complete his math and science
homework, how long did he spend on his math
homework?
The answer to this Question based on Linear equation is 28 and 45
What is Linear Equation?
It is a equation in which the degree of each and every variable is 1 only is called linear equation
Solution:
Let the time taken to complete maths homework be x and time to complete science homework be y
first we know that total time taken was 1 hr 15 minutes means 75 minutes which in turn means x + y = 75
and from 2nd relation that we are given
x = 2y - 9
now we got the 2 linear equations now we just need to solve them to get our final answer
putting this equation in first equation we got we get
2y - 9 + y = 75
3y - 9 = 75
3y = 84
y = 28
and hence x = 2y - 9
x = 56 - 9
x = 45
hence time to complete maths was 45 minutes and time to complete science is 28 minutes
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