How elimination method calculator?
The elimination method is a method for solving systems of linear equations.
The method of elimination consists of removing the same variable from two equations and then finding the value of the other variable that is not eliminated after taking the difference between the two equations.
An equation of the form Ax By = C. Here x and y are variables and A, B and C are constants.
To solve the variables of the given equations by elimination method Let's look at a short comprehensible example.
2x + y = 7 ------> (1)
x + y = 5 -------> (2)
To eliminate 'y', subtract (1) - (2),
2x + y - x - y = 7 - 5
x = 2
Substitute x = 2 in equation(1),
2(2) + y = 7
4 + y = 7
y = 3
Therefore, x = 2, y = 3
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Liliya’s parents borrow $1,400 from the bank for a new washer and dryer. The interest rate is 7.5% per year. How much simple interest will they pay if they take 18 months to repay the loan? Round to the nearest cent.
Answer:
$1575
Step-by-step explanation:
I=Prt I being interest paid, P is Principal, r is rate, t is term
I =1400x. 075 x 1.5
I =1575
Anwer this questions plz
Answer:
2
Step-by-step explanation:
brainliest blz
Answer:I believe the answer is 3 Hope this helps ^w^
Step-by-step explanation:
20/5 is 4 so 4 dollars per tank top and 35/5 is 7 so 7-4=3
Giving Brainliest!! Lin calculates the product of 13,462 and 798k to the nearest thousand, where k represents the digit in the ones place. Given that the product has a 0 in the thousands place, what is the value of k?
A. 1
B. 2
C. 4
D. 7
E. 9
Given that the product has a 0 in the thousands place, the value of k is C. 4.
What is the product?The product is the result of multiplying two or more numbers together.
The product is the result of multiplication, which is one of the mathematical operators, including addition, subtraction, division, exponentiation, and modulus operations.
Data and calculations:Product of 13,462 and 798k = 13,462 x 798 x k
= 10,742,676k
K = variable
If k = 1, the product of 10,742,676k = 10,742,676, the nearest thousand = 10,743,000
If k = 2, the product of 10,742,676k = 21,485,352, the nearest thousand = 21,485,000.
If k = 4, the product of 10,742,676k = 42,970,704, the nearest thousand = 42,970,000.
If k = 7, the product of 10,742,676k = 75,198,732, the nearest thousand = 75,199,000.
If k = 9, the product of 10,742,676k = 96,684,084, the nearest thousand = 96,684,000.
Thus, given that the product has a 0 in the thousands place, the value of k is C. 4.
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Please help!!!!
A 1 and 3 only
B 2 only
C 1 and 2 only
D 1 only
Step-by-step explanation:
D I think sorry if it's wrong :(
Write the equation of the line in fully simplified slope - intercept form
Answer:
y = -2/5x - 4
Step-by-step explanation:
need help fast !!!!!
Answer:
G(x) = 18
Step-by-step explanation:
first you add x on both sides (-7+x=11)
then you add 7 on both sides and end up with (x=18)
Which system is equations is shown by the graph?
(See picture)
Answer:
i think the answer is y-x=15 and 25+2x=y
7. TRUE or FALSE.
. Every integer is a natural number.
Every natural number is a rational
number
Every rational number is an integer
Every natural number is an integer.
Answer:
1 f
2 t
3f
4 t
hope its right
you want to buy a car which will cost you $10,000. You do not have sufficient funds to purchase the car. You do not expect the price of the car to change in the foreseeable future. You can either save money or borrow money to buy the car.
Plan 1: You decide to open a bank account and start saving money. You will purchase the car when you have sufficient savings. The nominal interest rate for the bank account is 6% per annum compounded monthly.
a) You will make regular deposits in your bank account at the start of each month for the next 2.5 years. Calculate the minimum required monthly savings to be deposited into the bank such that you would have sufficient funds to purchase the car in 2.5 years.
b) You will make regular deposits in your bank account at the start of each week for the next 2.5 years. Calculate the minimum required weekly savings to be deposited into the bank such that you would have sufficient funds to purchase the car in 2.5 years.
c) You will make regular deposits of $2,000 at the end of each year. Calculate how long will it take for you to have sufficient funds to purchase the car.
Plan 2: You decide to borrow $13,000 from the bank and purchase the car now, as well as cover some other expenses. The bank offers two options for the structure of the repayments.
- Option 1: The first repayment will not start until you graduate from university. Therefore, no month-end-instalments will be made for the first 36 months. Then, commencing at the end of the 37th month, a total of 30 month-end-instalments of $X will be made over the life of the loan. The nominal interest rate is 6% per annum compounded monthly.
d) Calculate X.
e) Your parents agree to help you repay the loan by contributing a lump sum of $1,800 when you successfully graduate from university. Calculate the new value of X.
- Option 2: For the first 36 months (while you are still studying), you will be making month-end-instalments of $Y. Then, commencing at the end of the 37th month (when you graduate from university), you will double the amount of monthly repayment for the remaining 30 month-end-instalments. The nominal interest rate is 6% per annum compounded monthly.
f) Calculate the value of Y.
a) To save enough funds to purchase the car in 2.5 years, monthly deposits of $373.69 are required, while weekly deposits of $86.21 are needed.
b) With annual deposits of $2,000, it will take approximately 5 years to accumulate sufficient funds to purchase the car. For borrowing options, under Option 1, the monthly installment amount is $349.56, which reduces to $291.55 with a $1,800 lump sum contribution from parents. Under Option 2, the monthly installment amount is $237.63 for the first 36 months, doubling thereafter.
a) To calculate the minimum required monthly savings, we use the future value formula with monthly compounding: \($10,000 = PMT * ((1 + 0.06/12)^(2.5*12) - 1) / (0.06/12)\). Solving for PMT, the monthly deposit required is approximately $373.69.
b) Similarly, for weekly deposits, we use the future value formula with weekly compounding: \($10,000 = PMT * ((1 + 0.06/52)^(2.5*52) - 1) / (0.06/52)\). Solving for PMT, the weekly deposit required is approximately $86.21.
c) Using the future value formula for annual deposits: \($10,000 = $2,000 * ((1 + 0.06)^t - 1) / 0.06\). Solving for t, the time required to accumulate $10,000, we find it will take approximately 5 years.
d) For Option 1, the monthly installment amount can be calculated using the present value formula: \($13,000 = X * (1 - (1 + 0.06/12)^-30) / (0.06/12).\) Solving for X, the monthly installment amount is approximately $349.56.
e) With a lump sum contribution of $1,800, the remaining loan amount becomes $13,000 - $1,800 = $11,200. Using the same formula as in (d), the new monthly installment amount is approximately $291.55.
f) For Option 2, the monthly installment amount during the first 36 months is $Y. After 36 months, the monthly installment amount doubles. Using the present value formula: \($13,000 = Y * (1 - (1 + 0.06/12)^-36) / (0.06/12) + 2Y * (1 - (1 + 0.06/12)^-30) / (0.06/12)\). Solving for Y, the monthly installment amount is approximately $237.63.
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Ill give 100 points someone please help
Answer:
One booster pack is worth 9 cards and one premade deck is worth 37 cards.Step-by-step explanation:
We know that:
9x + 7y = 340 cards4x + y = 73 cardsy = Cost of premade decks (In cards)x = Cost of booster packs (In cards)Work:
9x + 7y = 340 cards4x + y = 73 cards
4(9x + 7y = 340 cards)9(4x + y = 73 cards)
36x + 28y = 340 x 4 cards36x + 9y = 73 x 9 cards
19y = 1360 - 65719y = 703y = 703/19 = 37This means that 1 premade deck is worth 37 cards. Now, let's substitute the value of y into the first equation to find x.
9x + 7y = 340 cards=> 9x + 7(37) = 340 cards=> 9x + 259 = 340 cards=> 9x = 81 cards=> x = 9 cardsHence, one booster pack is worth 9 cards and one premade deck is worth 37 cards.
Hoped this helped.
\(BrainiacUser1357\)
If y varies directly as x and z, and Y=40 when x =5 andz = 4, find y when x=2 and z = 1
Pls answer it ASAP
Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. \(y\ \alpha \ xz\)
\(y=k(xz)\) (i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
\(40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2\)
Required equation: \(y=2(xz)\) [Put value of k in (i)]
Now put x=2 and z = 1, then we get
\(y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4\)
Hence, when x=2 and z = 1, then the value of y =4.
Work out the value of 5 to the power of a if it equal 1/125
Answer:
a = -3
Step-by-step explanation:
Step 1: Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:
5^a = 1/125
Step 2: Take the log of both sides
log(5^a) = log(1/125)
Step 3: According to the power rule of logs, we can bring a down and multiply it by log(5):
a * log(5) = log (1/125)
Step 4: Divide both sides by log(5) to solve for a:
(a * log(5) = log(1/125)) / log(5)
a = -3
Optional 5: We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:
5^-3 = 1/125
1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator
1/125 = 1/125
4. The usual 110-V household alternating current varies from -155 V
to 155 V with a frequency of 60 cycles/ sec (frequency is the
reciprocal of period). Assume the current starts at rest and then
rises.
Make a sketch of the curve.
Write an equation to describe the curve:_
Determine the value of y when t = 1/90 sec.:_
Approximate the value of t when y = 100 for the first time:_
Answer:
The equation for the alternating current can be described by: y = 155 sin(120πt)
Where y is the voltage in volts (V) and t is the time in seconds (s).
To find the value of y when t = 1/90 s:
y = 155 sin(120π(1/90))
y ≈ 30.8 V
To approximate the value of t when y = 100 V for the first time, we need to solve the equation for t:
100 = 155 sin(120πt)
sin(120πt) = 100/155
t = arcsin(100/155)/(120π)
t ≈ 0.001 s
Therefore, the value of t when y = 100 V for the first time is approximately 0.001 seconds
Mr. aba builds a circular patio with a diameter of 12 feet he covers the patio with paving stones the cost of the paving stones is $10.50 per square foot to the nearest dollar how much do the paving stones cost?
15 points look at picture
Answer:
The graph is linear and not proportional
Step-by-step explanation:
It is linear because it is a straight line. It is not proportional, it does not go through the origin (0,0).
Algebra II Question - Tell whether the ordered pair is a solution of the system, why or why not?
Answer:
Yes
Step-by-step explanation:
If you graph (2,1) it will be in the gray area. Therefore, if the point is inside the gray, then the answer is yes.
A bucket contains 3 small red blocks, 5 small yellow blocks, 5 large yellow blocks and 7 large red blocks. If a block is drawn randomly, what is the probability that the block is yellow, given that it is one of the large blocks?
Answer:
P = 5/12 = 0.42
Step-by-step explanation:
In the bucket we have:
3 small red blocks
5 small yellow blocks
5 large yellow blocks
7 large red blocks
Ok, now we know that we draw one of the large blocks, and we want to find the probability that the block is yellow.
The probability will be equal to the quotient between the number of larger yellow blocks (5) and the total number of large blocks (5 + 7 = 12) (we only care for the large blocks because we start by assuming that we draw one of these)
Then the probability is:
P = 5/12 = 0.42
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
Write two numbers that multiply to the value on top and add to the
value on bottom.
-13 and 6
-13x6 = -78
-13 + 6 = 13
If a point (5,2) is rotated counterclockwise 90º about the origin, its image will be point
(Im on a timed test, please help)
theres are the answer choices:
A. (-2, 5)
B. (-5, 12)
C. (2, 5)
D. (2, -5)
Answer:
The answer is A
Step-by-step explanation:
write the additive inverse of 11/221
addective inverse of 11/221 = -11/221
-secret_angel-
use the leading coefficient and the degree of the polynomial function to determine the end behavior of the graph. f(x) = 3x^2 - 3x^5 - 14x - 2x^3 - 5
leading coefficient:
degree:
end behavior left or right side:
Answer:
end behavior on left: function goes to + infinity
end behavior on the right: function goes to - infinity
Step-by-step explanation:
You look at the highest powered x term.
You look at the highest powered x-term which is - 3x^5. The polynomial will begin and end the same way a -x^5 curve begins and ends.
end behavior on the left side (as x approaches negative infinity), y values approach positive infinity. You can substitute negative values of x (-1, -5, -10, -100 . . .) in - 3x^5 and you will get increasing positive values for y as you use x values that approach negative infinity).
end behavior on the right side (as x approaches positive infinity), y values approach negative infinity. Substitute positive values for x (1, 10, 100, 1,000 . . .) in - 3x^5 and you will get decreasing negative values for y.
There are 12 yards of fabric. Each pillow uses 2/3 yard. How many pillows can be made?
Answer:
18 pillows
Step-by-step explanation:
12 yards of fabric divided by 2/3 is 18. Therefore, 18 pillows at an be made.
Hope this helps :)
The source document states: (S) The process takes three hours to complete. The new document states: (S) The first step in the process takes 30 minutes to complete. The second step takes 2 hours, and the final step takes 30 minutes. Which concept was used to determine the derivative classification of the new document
Answer:
Contained in.
Step-by-step explanation:
The correct answer to given question is "contained in". This is because of the fact that it was extracted as it was stated in the source or authorized document without any need to add any information, analyze or interpret the information in the new document.
The concept that was used to determine the derivative classification of the new document is "revealed by".
This is so because the new document breaks down the information that emerges from the source document, thus revealing the details that are not specified in it, giving more weight to the information and allowing those who read said information to acquire greater knowledge.
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PLEASE HELP NOW!! If K is the set of all letters in the word “equation”, and L is the set of all letters of the word “inequality”, list all elements of the following sets
K∩L and K∪L
Answer:
e,q,u,a,t,i,n & EQUATIONYL
Step-by-step explanation:
K∩L:
First write both the words, equation and inequality down.
E Q U A T I O N
I N E Q U A L I T Y
You can see EQUATIN repeats in both of the words.
K∪L:
First write both the words, equation and inequality down.
E Q U A T I O N
I N E Q U A L I T Y
This time just write down all the letters EXCEPT the ones that repeat. EQUATIONYL
The elements of the set is given by
a) K ∩ L = {e, q, u, a, i, n, t}
b) K ∪ L = {e, q, u, a, t, i, o, n, l, y}
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
K∩L is the set of all letters that appear in both "equation" and "inequality":
K∩L = {e, q, u, a, i, n, t}
K∪L is the set of all letters that appear in either "equation" or "inequality" or both:
K∪L = {e, q, u, a, t, i, o, n, l, y}
Hence , the sets are solved
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What is the measurement of arc KJ (x) ?
Answer:
95°
Step-by-step explanation:
X is the same of H that is you answer
each side of a square is increasing at a rate of 8 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 16 cm2? incorrect: your answer is incorrect. cm2/s
The rate of the square increasing when the area is 16 cm² is 64 cm²/s. The result is obtained by using basic derivative rules.
How to count the rate of a square increasing?The rate of a square increasing can be counted by the derivative of the area of the square as a function of time.
dA/dt = 2s ds/dt
Where s is side length.
If each side of a square is increasing at a rate of 8 cm/s, what is the rate of the square increasing when the area is 16 cm²?
We have the side of the square as the function of time.
ds/dt = 8 cm/s
When the area is 16 cm², the side length is
A = s²
16 = s²
s = √16
s = 4 cm
The rate of the square increasing is
dA/dt = 2s ds/dt
dA/dt = 2 × 4 × 8
dA/dt = 64 cm²/s
Hence, the rate of the square increasing when the area is 16 cm² is 64 cm²/s.
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Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap. Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? (round off your answer to four decimal digits)
The time taken for Bob take to run one lap of the track is 69 seconds
Akira is running around a circular track. Akira runs counterclockwise.
It takes him 95 seconds to run one complete lap
Bob starts running at the same time as Akira
Bob and Akira pass each other for the first time after 26 seconds
It takes him 95 seconds to run one complete lap
In 26 seconds he covers 26/95 laps
In this time Bob must have covered 69/95 laps
An inverse relationship
c/95 = 69/95
c = (69/95) x 95
c = 69
Therefore, time taken for Bob take to run one lap of the track is 69 seconds.
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