After finding the LCM, the sum of 8/9 and 3/4 is 59/36
In the given question, we have to find the sum of 8/9 and 3/4.
The given numbers are 8/9 and 3/4
Sum = 8/9 + 3/4
The denominator of the both number are different. So to find the sum we find the LCM of the both number 9 and 4.
So the LCM of 9 and 4 is 36.
Multiply 4 on the number 8/9 and 9 on the number 3/4. So
Sum = [tex]\frac{8}{9}\times\frac{4}{4}+\frac{3}{4}\times\frac{9}{9}[/tex]
Sum = 32/36 + 27/36
Now the denominator is same. So now we add them.
Sum = (32+27)/36
Sum = 59/36
Hence, the sum of 8/9 and 3/4 is 59/36.
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i took a borrowed 2500$ from the bank
if the loan is for two years and the amount of interest for those two years is 175$ what is the simple interest rate will i charged
The simple interest rate that you are charged, based on the loan amount and the period of the loan, is 3. 5 %
How to find the simple interest rate ?Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used. Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.
Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
To find the simple interest rate, find the simple interest charged per year to be:
= 175 / 2
= $ 87. 50
Then , the simple interest rate would be:
= Simple interest per year / Loan amount
= 87. 50 / 2, 500
= 3. 5 %
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PLEASE HELP ASAP!!! It's a math problem I can't figure out and i don't want to get it wrong.
Thank you so much, it's appreciated!
nevermind yall
i figured it out you don't have to answer, claim ur points in the answer idc
Answer: 21 boxes are needed
Step-by-step explanation:
Total area: length = 1.5 + 6.25 + 1.5 = 9.25 height = 1.5 + 6.25 = 7.75
Total Area = 9.25 x 7.75 = 71.6875
Area of the patio = 6.25 x 6.25 = 39.0625
Area of the extension = Total Area - Area of the patio = 71.6875 - 39.0625 = 32.625
Area covered by one box of tiles: 25 x 0.25 x 0.25 = 1.5625
Number of boxes needed: 32.625 / 1.5625 = 20.88 = 21 boxes
I hope this helps even though you already figured it out!
Some children were playing iSome children were playing in a room. First, they counted all their fingers (including thumbs), then they counted all their ears and found that altogether they had 24 more fingers than ears. How many children were there in the room? n a room. First, they counted all their fingers (including thumbs), then they counted all their ears and found that altogether they had 24 more fingers than ears. How many children were there in the room?
Answer:
There were 3 children in the room
Step-by-step explanation:
Let x be the number of children in the room
Since each child has 10 fingers including their thumbs, total number of fingers =10x
Each child has 2 ears so total number of ears = 2x
Since they had 24 more fingers than ears we get the equation:
10x - 2x = 24
8x = 24
x = 24/8 = 3
How do i do this? I forgot
Scientific notation 295000 is 295×10³ and standard notation of 7.3×10⁻⁴ is 0.00073 and From least to greatest is 1, 3/2, π/2, √3, 9 and E is the best estimate of √3
What is Number system?A number system is defined as a system of writing to express numbers.
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
295000 is 295×10³
Now let us write 7.3×10⁻⁴ is standard notation
7.3/10000=0.00073
We have to arrange from least to greatest
1, 9, 3/2, √3, π/2
1, 9, 1.5, 1.732, 1.57
From least to greatest is 1, 3/2, π/2, √3, 9
E is the best estimate of √3
Hence, scientific notation 295000 is 295×10³ and standard notation of 7.3×10⁻⁴ is 0.00073 and From least to greatest is 1, 3/2, π/2, √3, 9
E is the best estimate of √3
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Please help ASAP i will give brainliest if they answer all the questions "100 points"
Thank you Have a good day :)!
Can some one do one two and four
Algebra 2 I am really lost on this topic
1) The function f(x) is defined as follows: B. F(x) = -(x + 2)²(x - 2).
2) The standard definition of function f(x) is given as follows: A. F(x) = ax³ + bx² + cx + d.
4. The solution to the system of equations is approximated by the following option:
A. (-3.43, 6.30).
How to define the functions?The function for item 1 is defined considering it's roots, as follows:
x = -2, with a multiplicity of 2, as the function just touches the x-axis, not crossing.x = 2, with a multiplicity of 1.Hence the function is defined as follows:
F(x) = a(x + 2)²(x - 2).
The y-intercept is positive, meaning that:
-8a > 0.
Thus the leading coefficient a is negative, and the correct option is given by option B.
The cube function, with all positive coefficients, is given by option A in item 2.
How to solve a system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of all the equations that compose the system.
The equations that compose the system in this problem are given as follows:
v(x) = x³ + 2x² - 5x + 6.b(x) = -3x - 4.For this problem, the systems are composed by a third degree function v(x) and a linear function b(x), hence we graph them and obtain the point of intersection.
From the graph given by the image presented at the end of the answer, the coordinates of the point of intersection are presented as follows:
(-3.432, 6.296).
This means that, using rounding, the correct option is given by option A for the solution of the system of equations.
Missing InformationItem 1 asks to define the graphed function, while item 2 asks for the standard cube function.
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In AOPQ, 0 = 4.3 cm, p = 4.5 cm and q-5.6 cm. Find the area of AOPQ to the
nearest square centimeter.
Answer:
Step-by-step explanation:
You need to give more information. There is nothing you can tell from the information you gave. Nothing is fixed.
003 (part 1 of 2) 10.0 points
a 0.58 kg object is at rest. a 2.65 n force
to the right acts on the object during a time
interval of 1.51 s.
a) what is the velocity of the object at the
end of this time interval?
answer in units of m/s.
004 (part 2 of 2) 10.0 points
at the end of this interval, a constant force of
3.60 n to the left is applied for 2.86 s.
b) what is the velocity at the end of the
2.86 s?
answer in units of m/s.
At the end of 1.51 seconds, the velocity is 6.9 m/s, and at the end of 2.86 seconds, it is 24.64 m/s.
What is the basic meaning of velocity?The dislocation that an article of particle experiences with regard to the time is expressed vectorially as velocity. The meter per moment (m/s) is the accepted unit of velocity profiles (also known as speed).
A. F = ma, where F is force, m is mass and a is acceleration.
a = 2.65/0.58
Performing division
a = 4.57 m/s²
With respect to final and starting velocities, acceleration, and time, the formula is v = u + at.
v = 4.57×1.51
The act of multiplying
v = 6.9 m/s.
B). New acceleration = 3.60/0.58
The act of multiplying
New acceleration = 6.2 m/s²
v = u + at
v = 6.9 + 6.2×2.86
Performing multiplication
v = 6.9 + 17.75
Performing addition
v = 24.64 m/s.
At two different locations, the velocities are 6.9 m/s or 24.64 m/s.
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patty's dog spike weighs 20.2 pounds and her other dog weighs 17.28 pounds. how much more does spike weigh
Answer:
2.92 it is so easy. Just you have to subtract them
Answer:2.92 pounds
Step-by-step explanation:
Solve the system. {4x^2+4y^2=36 {2x+3y=6
Substitute 2x+3y=6 into the first equation:
4x^2+4y^2=(2x+3y)^2
4x^2+4y^2=4x^2+12xy+9y^2
0=12xy+5y^2
Divide both sides by 5:
0=2.4xy+y^2
Subtract 2.4xy from both sides:
-2.4xy=y^2
Take the square root of both sides:
y=±√-2.4xy
Substitute y=±√-2.4xy into the equation 2x+3y=6:
2x+3(±√-2.4xy)=6
2x±3√-2.4xy=6
Add 2x to both sides:
4x±3√-2.4xy=6+2x
Subtract 4x from both sides:
±3√-2.4xy=6-4x
Divide both sides by 3:
±√-2.4xy=2-4/3x
Square both sides:
-2.4xy=(2-4/3x)^2
-2.4xy=4-16/3x+8/9x^2
8/9x^2-16/3x+4+2.4xy=0
Use the quadratic equation to solve for x:
x= (16 ± √(256+192y^2))/18
Substitute this back into the equation 2x+3y=6 to solve for y:
2(16 ± √(256+192y^2))/18 + 3y = 6
3y = 6 - 32 ± √(256+192y^2))/9
3y = -26 ± √(256+192y^2))/9
y = (-26 ± √(256+192y^2))/27
Therefore, the solution is:
x = (16 ± √(256+192y^2))/18
y = (-26 ± √(256+192y^2))/27
A salesperson earns 25% commission. If they sell $1,750.00 how much do they earn on commission?
The earned commission would be $437.50.
What is a commission?
A commission is a payment made to an employee, typically in sales or finance, for services rendered in the form of a percentage of the revenue generated by the employee's efforts. It is a way for companies to incentivize employees to sell more products or services, as the employee's income is directly tied to the success of their sales efforts.
The salesperson earns $437.50 on commission. This can be calculated by multiplying $1,750.00 by 25% (0.25).
$1,750.00 * 0.25 = $437.50
Hence, the earned commission would be $437.50.
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if h(x)=x^2-1 and f(x)=3x+5 , what is h(f(x))?
Answer:
3x^2−2
Step-by-step explanation:
Given f(x)=3x−5 and g(x)=x^2+1
∴f(g(x))=f(x^2+1)
=3(x^2+1)−5
=3x^2−2
The angles of a quadrilateral are $x$, $5x + 15^\circ $, $3x - 25^\circ$, and $4x - 20^\circ $. Find the measure of the largest angle of the angle
The measure of the largest angle of the quadrilateral is 88 degrees.
The sum of the angles of a quadrilateral is 360 Degrees. This is derived from the property named Angle Sum property of quadrilateral. We can use this fact to set up an equation using the given information:
x + (5x + 15) + (3x - 25) + (4x - 20) = 360
Simplifying this equation:
13x = 350
x = 27^
Now we can substitute this value of x back into the equation for any of the four angles to find the largest angle:
4x - 20 = 4(27) - 20 = 108 - 20 = 88
Therefore, the measure of the largest angle of the quadrilateral is 88 degrees.
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What is the probability of flipping 4 coins on the same side, that is getting either all heads or all tails? give the exact decimal answer without rounding.
The probability of flipping four coins is 0.0625
Total coins = 4
The study of chances, which are determined by the ratio of favourable occurrences to probable cases, is known as probability.
When flipping a coin, there are two possible outcomes (heads or tails), hence the likelihood of flipping a head-up coin is equal to the likelihood of flipping a tail-up coin.
Thus, the probability is = 1/2
Calculating the probability of getting all heads or all tails when flipping 4 coins -
= 1/2 x 1/2 x 1/2 x 1/2
= 1/16
In decimal form, this will be 0.0625
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Dave's band is performing in his school's Spring Talent Show this weekend. So, he is making posters to let people know. Dave spreads out a roll of paper and cuts it into 7 equal-sized posters. He decorates the posters and takes them to school.
Dave hangs 4 posters on the side of the gym. He hangs the rest of the posters in the hallway.
What fraction of the roll of paper does Dave hang in the hallway?
(PLEASE HELP)
3/7 of the posters are hanged in the hallway.
What is Fraction?A fraction represents a part of a whole.
Given that Dave spreads out a roll of paper and cuts it into 7 equal-sized posters.
He decorates the posters and takes them to school.
Dave hangs 4 posters on the side of the gym
4/7 of the posters are on the side of the gym.
The remaining posters are in the hallway.
1-4/7
LCM is 7
7-4/7
3/7
Hence, 3/7 of the posters are hanged in the hallway.
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Find The Range of y-x=3
the greek army contained two types of soldiers: the upper class and the lower class soldiers. if there were a total of 5 upper class soldiers, and 10 lower class soldiers in a certain part of athens, and the battle of thermopylae demands a force of 4 upper class soldiers and 8 lower class soldiers, how many different battalions can be sent?
50 different greek armies, the upper class and the lower class soldiers battalions can be sent.
The Greek army can form different battalions by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. This problem can be solved using a combination formula known as a binomial coefficient.
The number of different battalions that can be sent is:
(5 choose 4) * (10 choose 8) = 5*10 = 50
Different battalions can be formed by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. Therefore, 50 different battalions can be sent.
So, 50 different battalions can be sent.
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18. in a bag containing only red apples and green apples, the number of red apples is 3 4of the number of green apples. what fraction of the apples in the bag is red? express your answer as a common fraction.
The fraction of red apples in the bag is 3/ (4+x).
Let there be "x" number of green apples and "y" number of red apples in the bag.
According to the given information,
3/4 * x = y
Therefore, y = 3/4 * x
Since the fraction of red apples is y/ (x+y)
Therefore, fraction of red apples = 3/4 * x / (x+3/4 * x)
Simplifying,
Fraction of red apples = 3/ (4+x)
Therefore, the fraction of red apples in the bag is 3/ (4+x).
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a) Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over. How many bricks did each lay?
Step-by-step explanation:
Let x be the number of bricks Ram laid.
Shyam laid x/2 bricks.
Therefore, x + x/2 + 250 = x(3/2) + 250 = x(3/2) = 300
x = (2*300)/3 = 200
Ram laid 200 bricks.
Shyam laid 200/2 = 100 bricks.
What is the type of a triangle with sides measuring 5 cm 6 cm and 4 cm?
Answer:
scalene
Step-by-step explanation:
It is a scalene triangle, meaning all sides are different lengths. It is NOT a right triangle because the 6 cm side is "too short" to be a hypotenuse.
a fair die is rolled three times. what’s the probability that it will land on a 2 on the first roll, a 3 on the second roll, and a 4 on the third roll?
1/216
1/6
1/18
1/24
The probability of having a 2 on first roll, 3 on second roll and 4 on third roll is 1 / 216
What is probability of a fair diceA fair dice is a dice that is equally likely to land on any of its faces, meaning that each face has the same probability of facing up after a roll. The probability of getting a specific face on a fair dice is represented by the number of ways that face can appear divided by the total number of possible outcomes.
For a standard six-sided fair dice, the total number of possible outcomes is 6, since there are six faces on the dice. The probability of getting a specific face (for example, the number 4) is 1/6, because there is only one way to get that number out of the six possible outcomes.
The probability of landing 2 on first roll, 3 on second roll and 4 on third roll is given as;
P = (1/6 * 1/6 * 1/6)
P = 1 / 216
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Hunter is 1. 75 meters tall. At 12 noon, he measures the length of a tree's shadow to be 30. 85 meters. He stands 26. 8 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
The height of the tree to the nearest hundredth of a meter is 29.1m.
We can use the concept of similar triangles to find the height of the tree. The ratio of the height of the tree to the length of its shadow is the same as the ratio of Hunter's height to the length of his shadow.
Let h be the height of the tree.
Hunter's height : h = 1.75m : x (where x is the height of the tree)
Hunter's shadow : Tree's shadow = 1.75m : 30.85m
We know that Hunter is 26.8 meters away from the tree, and the tip of his shadow meets the tip of the tree's shadow.
Hunter's shadow = Hunter's height + Tree's shadow
1.75 + x = 30.85
x = 29.1m
Therefore, the height of the tree to the nearest hundredth of a meter is 29.1m.
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last week, juan drove b miles. This week, he drove 164 miles. Using b write an expression for the total number of miles he drove in the two weeks.
Answer: b+164
Step-by-step explanation:
Answer: B + 164 = T
Step-by-step explanation:
T = TOTAL
B = LAST WEEK
Sam has a part-time job delivering flyer start door he heard a quarter for every 10 fires he delivers he wants to earn $45 to buy his mother's birthday present sam figures out that he can write a proportion to determine how many flyers does he needs to deliver to earn $45
We can use a proportion to determine how many flyers Sam needs to deliver to earn $45. A proportion is an equation that states that two ratios are equal. In this case, we can use the ratio of the number of flyers delivered to the amount of money earned.
What in mathematics is a linear equation?
According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let x be the number of flyers Sam needs to deliver to earn $45. The proportion can be written as:
x/45 = 10/1
We can solve for x by multiplying both sides of the proportion by 45:
x = (10/1)*45 = 450
So, Sam needs to deliver 450 flyers to earn $45.
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A teacher would like to estimate the true mean amount of time her students spend completing a particular homework assignment. The day the homework is due, the teacher selects a random sample of 30 of her 75 students and records the amount of time that each of them spent completing the assignment. Are the conditions for constructing a t confidence interval met
The conditions for constructing a t-confidence interval are met.
In order to construct a t-confidence interval for the mean amount of time the students spend completing the homework assignment, the following conditions must be met:
The data must be a random sample from the population of interest
The sample size must be sufficiently large (typically, n > 30)
The data should be approximately normally distributed
The population standard deviation or variance must be unknown
From the information provided it can be inferred that the data is a random sample (30 students out of 75 students) and that the population standard deviation or variance is unknown. If the sample size is greater than 30, and the data is approximately normal or the sample size is large, then the conditions for constructing a t-confidence interval are met.
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Solve the differential equation by variation of parameters. y" + y = CSC X y(x) =sin(x)ln(|sin(x)|) + C2cos(x) + C1sin(x) + xcos(x)
To solve the differential equation y" + y = csc(x) using variation of parameters, we first need to find a particular solution.
Since the non-homogeneous term is csc(x), we can try a particular solution of the form yp = u(x) csc(x), where u(x) is a function to be determined.
Substituting yp into the differential equation:
u''(x)csc(x) + u(x)csc(x) = csc(x)
To find u(x), we can multiply both sides by csc(x) and integrate with respect to x:
∫u''(x)csc(x) dx + ∫u(x)csc^2(x) dx = ∫csc(x) dx
Integrating the first term by parts:
u'(x) = ∫csc(x) dx = ln|cot(x/2)| + C1
Integrating the second term by parts:
u(x) = -∫csc(x)cot(x) dx = -ln|sin(x)| + C2
So, the particular solution for yp is:
yp = u(x)csc(x) = -ln|sin(x)|csc(x) + C1csc(x) + C2
Now we need to find the general solution y = yc + yp
where yc is the general solution for the complementary homogeneous equation y" + y = 0
yc = C1cos(x) + C2sin(x)
Now we can use the method of variation of parameters to find the general solution for the non-homogeneous equation
By this method, we need to find two functions v1(x) and v2(x) such that W(yc, yp) = v1(x)cos(x) + v2(x)sin(x)
W(yc, yp) = (yc * yp') - (yp * yc')
W(yc, yp) = (C1cos(x) + C2sin(x)) * (-cot(x)csc(x) + C1) - (-ln|sin(x)|csc(x) + C1csc(x) + C2) * (-sin(x)cos(x) + cos(x)sin(x))
W(yc, yp) = -C1cot(x)csc(x) + C1^2 + C2csc(x)
As W(yc, yp) is not identically zero, we can proceed to find v1(x) and v2(x)
v1'(x) = -cot(x)csc(x) + C1
v2'(x) = csc(x)
Integrating both sides by parts:
v1(x) = ln|cot(x/2)| - cot(x) + C3
v2(x) = -cot(x) + C4
The general solution for the non-homogeneous equation y" + y = csc(x) is:
y = yc + yp = (C1cos(x) + C2sin(x)) + (sin(x)ln|sin(x)|
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A rental car company charge $75 for a 3-day rental and $155 for a 7-day rental. Write an
equation to find the amount that the rental car company will charge for any number of day
The equation to find the amount the rental car company will charge for any number of days is y = 75+20(n-3).
Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
Given that,
The charge per day for a 3-day rental = 75/3 = 25
The additional charge for an extra 4 days is (155-75)= 80 which is $20 per day.
The charge for a period of n days (n>3) is then 75+20(n-3).
Thus, The equation to find the amount the rental car company will charge for any number of days is y = 75+20(n-3).
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The chef of a pizza place used 7/10 of package of pepperoni and 3/10 of a package of sausage. How nuch more pepperoni than sausage did chef use?
Answer: he use 4 pepperoni more than sausage every times he put 10 meat on the pizza
Step-by-step explanation: both are on 10 so you don't need to change it so 7-3=4 and it's on ten which mean that every times he put 3 sausage, he have to put 7 pepperoni
i have b right i just don’t know how to find a
The value of a is 16 and b is 18 by similarity of triangles.
What are similar triangles ?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion). Triangles that are similar will have the same form but may not be the exact same size.
Two triangles are said to be similar if their corresponding angles are equal. Equiangular triangles are what they are called. Two equiangular triangles were the subject of a significant finding made by the well-known Greek mathematician Thales. He applied the Basic Proportionality Theorem, sometimes known as the Thales Theorem, as a conclusion.
In triangle OXY and ONM
[tex]\frac{4}{16} = \frac{6}{6 + b}[/tex]
⇒ 24 + 4b = 96
⇒ 4b = 72
⇒ b = 18
again ,
[tex]\frac{4}{16} = \frac{4}{a}[/tex]
⇒ a = 16
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in the geometric sequence with a first term of $6$ and a second term of $-6$, what is the $205^{th}$ term?
The 205th term of the given geometric sequence is given by 6
What is a Geometric Sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
Given here: The first term of a given geometric sequence as 6 and second term -6.
Thus clearly we can deduce that the common ratio of the sequence is given by -1
Therefore the geometric sequence has two elements that are alternating sequence of the form 6,-6,6,-6,6.........
Therefore the 205th term of the sequence will be given by
T₂₀₅=6×-1²⁰⁵⁻¹
=6×1
=6
Hence, The 205th term of the given geometric sequence is given by 6
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