Maths-
General
Easy
Question
The product of two rational numbers is
. If one of the number is
, find the other rational number ?
The correct answer is: Frame the equation properly and solve
Complete step by step solution:
Here given rational number = ![fraction numerator negative 3 over denominator 4 end fraction](data:image/png;base64,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)
Let the other rational number = x
Given that the product of these 2 numbers = ![13 over 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAjCAYAAACHIWrsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAPpJREFUeNpjYMAP1IC4Fogv4JB3BOJtQPwNiH8A8S0gngDEwgxkgsVAnAbE/3HI7wfiICBmQxIzAOIdDBSC/ySq/0RPC5WA+AY9LBQH4kRoPHrR0sL/aLiAgQqAGB8KAnEAEJ8EYnt6xiEP1FK6ptIf9LRQD5pwaGLhQSAOBWIWIGaCljz3gTieEovQMTKwBeIt0CD8AS15fBhGwSigFfhPYzwKRsHApmKaWUh3H45aSHULf0Fb1aD+RBG0wURzAGpOGEM7OaAWtgY9fe0GbdfQFfygp2U6QHyXVoavA2JLaHMQhD2glgXRysJQaAP3DxC/A+JVQGxKqiEAGc1cmqOECrcAAABjdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xMzwvbW4+PG1uPjU8L21uPjwvbWZyYWM+PC9tYXRoPj+9gMYAAAAASUVORK5CYII=)
![not stretchy rightwards double arrow fraction numerator negative 3 over denominator 4 end fraction cross times x equals 13 over 5](data:image/png;base64,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)
![not stretchy rightwards double arrow x equals 13 over 5 divided by fraction numerator negative 3 over denominator 4 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow x equals 13 over 5 cross times fraction numerator negative 4 over denominator 3 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow x equals fraction numerator negative 52 over denominator 15 end fraction](data:image/png;base64,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)
Related Questions to study
Maths-
Find the Quotient and the domain .
![fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPIAAAAqCAYAAACJBQbmAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAABMJJREFUeNrtnV9kVmEcxx+ZmSSSJLuIZGZmIslkZmSSScZkZpKYTNJdF+mii+gimSQm6SLdZHaR10QyM0lk0kUmkiTZzS4meb3G2/NzfseO857z7v1znj+/c74ffhfv+z6b3/k93+d5n+f3nPd3lMqOKW1V5Y4qW0XbZ22jKj9Er+29tuOC/HXdF9Ji55R+DlLVE396tf3MYZz3aJvVtibIZ1/6QmLsrHJA2wdt3R4NZOq0zRzHvCxs8tlE7PxnQdtgZBnjmoPaHmu7ktN4D2tbEeKrb30hKXZWuaVtOrYf8WFvNm3o/49oW9L2j2f2b9rmWLBx9mt7ou0j2zy/1w5HeAtzTNC+ftoTf0zGzrUuMuusuLmEgnJP24yB/72sbVxbZ+S9E9reJLR9p+1C5PUYv9cqPdpKLEgpmOwLn2LnUhfGBraJtr7vhbZirye0PUpoR7P0ZIvfJks+zNwW+iJrXbiMnWld1KVL7SSvohzS9ok/tzWQW/VliD+3AS3V1hPyBqMpS7CFFq6NhNjreDDa6ousdeEqdjZ0sSv9HIAoJbX7eaCJb+RGfQmX9WVe0hw13FGHOYlD+6Hzsc82Y8usEHpvo41rc719sdEXpnRhK3Y2ddEQ11Vw7kZc1vbC4TLctC/t5AVuJrTZrvP3FY+vDbrIqS5eqSBl/10lZ+DaudBmZ0qffCHo/PyiCjKPw010WNnwtdkAuhCmiyGeKWYMzWC++NIO+7jTomykLKG6Ykso368NusiBLuiOnFUV3ENdctxhpn1pl3JCUuNcQrvRSFJDyrVBF8J1cVft3JFDh/pzDjvMtC/tMMCJjSh0pvg0oe1zVXvM4PO1QRfCdXGK1+dRHqps79KpeuRLo9DtfXQW2MEzJh0b/OBkRJxlTnh08HLqtqq9PdCna4MucqYLWq+/5U17HEqJD1oMkE++hHuWEi+ZytwpY3WSHs+4Hd26N8/7Jl+vDbqALgAAAAAAQNN70CrCAAAGMgAAABszNUymtduv0EW++h0AAAD2yAAADGQAAAAGZ39U+QfQVA5AlX8ATeUIVPkH0JRwUOUfQFPC8aXKv22oMPodFTyRMI29Kqh1/FftVJ3shmREaSr8/fAWt3+taut1icenKv+2ocqHVG+p3nEP/TaVnsYQ/tD8vqqt9QT81dQMD9wefk2F8Kk8z2reZk1fqvy7pNrEHo+SOBWMVRGa6lP2HoSQORKr/GdavT/jgUxL6n2xgfyrYINT6pMjqLrHpOTAS6zyn2n1/gwHMu2Pb0ReUymXBwX8ppWoqXUl66F6iUir8u/S53piG+ClNBllYP+ooAZUEZGmqTLvjRdVkBir8ApiSlrgJVX5b8XnrH5GltaOnon0kmf1MLFykn0bKOhglqQp+vs1/qYOK2ie4W/vWUlBl1Tl36XPaYJZTBmwdPyxXNCBLElTWyr5qJAy3L+lBFxalX+XPleb8LGRz/KKNE0tsc9JiDl5kFbl36XPaQP5q0q+6b+P98pFQ5qmaPl8KaFtrxJyL4DEKv8ufU4byOM8mEfY99B/2h9eK9gglqipTm57ldsSp7V90XbW94BLrPLvyudGkisTnDCpsP8rnFwpEpKfHEFn3fQ8J7ofYJv7z/qpw3+xvR/goIL/7wAAAvd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj40PC9tbj48L21zdXA+PG1vPis8L21vPjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MzwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjMwPC9tbj48bXN1cD48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21yb3c+PG1yb3c+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjE4PC9tbj48L21yb3c+PC9tZnJhYz48bW8+JiN4Rjc7PC9tbz48bWZyYWM+PG1yb3c+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj4zPC9tbj48L21zdXA+PG1vPis8L21vPjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjMwPC9tbj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PC9tcm93Pjxtcm93Pjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjM2PC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+FT3pvQAAAABJRU5ErkJggg==)
Find the Quotient and the domain .
![fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPIAAAAqCAYAAACJBQbmAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAABMJJREFUeNrtnV9kVmEcxx+ZmSSSJLuIZGZmIslkZmSSScZkZpKYTNJdF+mii+gimSQm6SLdZHaR10QyM0lk0kUmkiTZzS4meb3G2/NzfseO857z7v1znj+/c74ffhfv+z6b3/k93+d5n+f3nPd3lMqOKW1V5Y4qW0XbZ22jKj9Er+29tuOC/HXdF9Ji55R+DlLVE396tf3MYZz3aJvVtibIZ1/6QmLsrHJA2wdt3R4NZOq0zRzHvCxs8tlE7PxnQdtgZBnjmoPaHmu7ktN4D2tbEeKrb30hKXZWuaVtOrYf8WFvNm3o/49oW9L2j2f2b9rmWLBx9mt7ou0j2zy/1w5HeAtzTNC+ftoTf0zGzrUuMuusuLmEgnJP24yB/72sbVxbZ+S9E9reJLR9p+1C5PUYv9cqPdpKLEgpmOwLn2LnUhfGBraJtr7vhbZirye0PUpoR7P0ZIvfJks+zNwW+iJrXbiMnWld1KVL7SSvohzS9ok/tzWQW/VliD+3AS3V1hPyBqMpS7CFFq6NhNjreDDa6ousdeEqdjZ0sSv9HIAoJbX7eaCJb+RGfQmX9WVe0hw13FGHOYlD+6Hzsc82Y8usEHpvo41rc719sdEXpnRhK3Y2ddEQ11Vw7kZc1vbC4TLctC/t5AVuJrTZrvP3FY+vDbrIqS5eqSBl/10lZ+DaudBmZ0qffCHo/PyiCjKPw010WNnwtdkAuhCmiyGeKWYMzWC++NIO+7jTomykLKG6Ykso368NusiBLuiOnFUV3ENdctxhpn1pl3JCUuNcQrvRSFJDyrVBF8J1cVft3JFDh/pzDjvMtC/tMMCJjSh0pvg0oe1zVXvM4PO1QRfCdXGK1+dRHqps79KpeuRLo9DtfXQW2MEzJh0b/OBkRJxlTnh08HLqtqq9PdCna4MucqYLWq+/5U17HEqJD1oMkE++hHuWEi+ZytwpY3WSHs+4Hd26N8/7Jl+vDbqALgAAAAAAQNN70CrCAAAGMgAAABszNUymtduv0EW++h0AAAD2yAAADGQAAAAGZ39U+QfQVA5AlX8ATeUIVPkH0JRwUOUfQFPC8aXKv22oMPodFTyRMI29Kqh1/FftVJ3shmREaSr8/fAWt3+taut1icenKv+2ocqHVG+p3nEP/TaVnsYQ/tD8vqqt9QT81dQMD9wefk2F8Kk8z2reZk1fqvy7pNrEHo+SOBWMVRGa6lP2HoSQORKr/GdavT/jgUxL6n2xgfyrYINT6pMjqLrHpOTAS6zyn2n1/gwHMu2Pb0ReUymXBwX8ppWoqXUl66F6iUir8u/S53piG+ClNBllYP+ooAZUEZGmqTLvjRdVkBir8ApiSlrgJVX5b8XnrH5GltaOnon0kmf1MLFykn0bKOhglqQp+vs1/qYOK2ie4W/vWUlBl1Tl36XPaYJZTBmwdPyxXNCBLElTWyr5qJAy3L+lBFxalX+XPleb8LGRz/KKNE0tsc9JiDl5kFbl36XPaQP5q0q+6b+P98pFQ5qmaPl8KaFtrxJyL4DEKv8ufU4byOM8mEfY99B/2h9eK9gglqipTm57ldsSp7V90XbW94BLrPLvyudGkisTnDCpsP8rnFwpEpKfHEFn3fQ8J7ofYJv7z/qpw3+xvR/goIL/7wAAAvd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj40PC9tbj48L21zdXA+PG1vPis8L21vPjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MzwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjMwPC9tbj48bXN1cD48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21yb3c+PG1yb3c+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjE4PC9tbj48L21yb3c+PC9tZnJhYz48bW8+JiN4Rjc7PC9tbz48bWZyYWM+PG1yb3c+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj4zPC9tbj48L21zdXA+PG1vPis8L21vPjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjMwPC9tbj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PC9tcm93Pjxtcm93Pjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjM2PC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+FT3pvQAAAABJRU5ErkJggg==)
Maths-General
Maths-
What is the Quotient of
.
What is the Quotient of
.
Maths-General
Maths-
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
Maths-General
Maths-
If
of a number exceeds its
by 8 , find the number ?
If
of a number exceeds its
by 8 , find the number ?
Maths-General
Maths-
Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.
Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.
Maths-General
Maths-
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.
Maths-General
Maths-
Order from least to greatest ![29 over 12 comma 2.4444 horizontal ellipsis comma square root of 5.65](data:image/png;base64,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)
Order from least to greatest ![29 over 12 comma 2.4444 horizontal ellipsis comma square root of 5.65](data:image/png;base64,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)
Maths-General
Maths-
Find the Quotient and the domain .
![fraction numerator 25 straight x squared minus 4 over denominator straight x squared minus 9 end fraction divided by fraction numerator 5 straight x minus 2 over denominator straight x plus 3 end fraction](data:image/png;base64,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)
Find the Quotient and the domain .
![fraction numerator 25 straight x squared minus 4 over denominator straight x squared minus 9 end fraction divided by fraction numerator 5 straight x minus 2 over denominator straight x plus 3 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Order from least to greatest
0.363636..... , √15 , ![square root of 17 over 3 end root](data:image/png;base64,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)
Order from least to greatest
0.363636..... , √15 , ![square root of 17 over 3 end root](data:image/png;base64,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)
Maths-General
Maths-
Becky is competing in an 8-mi road race. She runs at a constant speed of 6 mi/h. Write an in slope-intercept form to represent the distance Becky has left to run.
Becky is competing in an 8-mi road race. She runs at a constant speed of 6 mi/h. Write an in slope-intercept form to represent the distance Becky has left to run.
Maths-General
Maths-
Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
![13.9 comma space square root of 49 comma space minus 48](data:image/png;base64,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)
Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
![13.9 comma space square root of 49 comma space minus 48](data:image/png;base64,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)
Maths-General
Maths-
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
a. Find the approximate annual interest rate for a four year signature loan $20,000 that has monthly payments of $500.
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
a. Find the approximate annual interest rate for a four year signature loan $20,000 that has monthly payments of $500.
Maths-General
Maths-
The line
passes through the points
.Find b, n, and p.
The line
passes through the points
.Find b, n, and p.
Maths-General
Maths-
Find the Quotient and the domain .
![fraction numerator left parenthesis straight x minus straight y right parenthesis squared over denominator straight x plus straight y end fraction divided by fraction numerator 3 straight x plus 3 straight y over denominator straight x squared minus straight y squared end fraction](data:image/png;base64,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)
Find the Quotient and the domain .
![fraction numerator left parenthesis straight x minus straight y right parenthesis squared over denominator straight x plus straight y end fraction divided by fraction numerator 3 straight x plus 3 straight y over denominator straight x squared minus straight y squared end fraction](data:image/png;base64,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)
Maths-General
Maths-
For What value of X is
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For What value of X is
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Maths-General