Maths-
General
Easy
Question
Arrange from least to greatest : ![fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction](data:image/png;base64,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)
The correct answer is: Perform division and find the values of fractions and then arrange
Complete step by step solution:
Here the value of
= -0.6
![fraction numerator negative 7 over denominator 10 end fraction equals negative 0.7](data:image/png;base64,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)
and ![fraction numerator negative 5 over denominator 8 end fraction equals negative 0.625](data:image/png;base64,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)
On arranging these from least to greatest, we have -0.7 < -0.625< -0.6
![not stretchy rightwards double arrow fraction numerator negative 7 over denominator 10 end fraction less than fraction numerator negative 5 over denominator 8 end fraction less than fraction numerator negative 3 over denominator 5 end fraction](data:image/png;base64,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)
Related Questions to study
Maths-
The product of two rational numbers is
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Maths-General
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,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)
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,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)
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,iVBORw0KGgoAAAANSUhEUgAAAHwAAAATCAYAAABSvGkxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAvpJREFUeNrtmU+EVVEcx68x8uQtSpFMlJEkeWIaSmVckmTkGRPtkpKRpGWLIjIaiVKrVFqkHunPJtUmzxjJJJWMJyUtWrRoEUk9Y2r6/vgOx/XOn3vumTtvmvvlY97ce8+d7/n93jnnd85E0f+nMpjOgUJtov2gXoRh4egJOFyEYWFoOfjOn4UctA6cBm8192PwGPwCTfABXALLLO/tA2NsI23vge5Z8D8EHjo8129Yh/PymkUm/4vBZfCTfXgKunQvugWOGF4ma+MAWKRc28SX6rQLTIBe0AE6wSHwHqwIHAjxN+hQ1DU0fczTa5aitGHI0Q0wTO+SpxEwbntp2ir0h+HeK80I2QfOBwzEGvANlCzPXWUSp+fQaxaZ/Ecc1arkizsZMuHdHAE6TWmui5HXAQNxElyzPLMNPDP0MS+vvrL5jziVlxPev4RIuExxB7mO7zE89wn0tLi+mmtkKL0Buw33ZXp7x7+r62NeXn3k4j/i+n1c+X0ruJAl4ckDiBOWd8l0+JnFUAfp54iZ9Oh4ucW1jeAr1y2dZC07ZuljaK8h5eJfVKFXYZRx2RFihC8FVRYEfQ5Vep3ri3AXrE05auT5m/S2PXHvHLhoaCtBeO7YxxBeXQeL6wmeq38Z/bfBSqWw7uHMVQm1hpddqsAWKqVsd4oJl332y8Q9GZWbDW3HmTTfPpY8+xhKrv4faBIbR5bTx7RVetOjE2LirEe7o+Cvsk3aAj5apvOs5+K+XkPJ1X/TN0dpEl5h4ZZWw6YDAYtker3Dz1fAGc8g5uF1Nr8ESTVazASiDVzLUwdjlIVNJwuamNPpAc03MuI2Qj2skcDJad7eRJsa21QdOnsd/KYP2XuvDxQwV68+nvNI+ACTHitFZ8w1fMh16lAl1d4jpaCps4qNDAnfyeemeEBT06wzaYK3BPwB98GLgAFz9dquCZ/ZaczsKpocpNWoTVWz7OlVjTluC9vJcyFFciY/YSm+VPUy4avmkedCirqi9P+gGJyHnudU/wD0AQatgrRDBwAAALR0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MTMuOTwvbW4+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtc3FydD48bW4+NDk8L21uPjwvbXNxcnQ+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjQ4PC9tbj48L21hdGg+VJ5ZAAAAAABJRU5ErkJggg==)
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