Questions in mathematics

Questions in mathematics

[Done] Find the solution of this system of equations. Separate the \(x\)- and \(y\)-values with a comma. \[ x = -8 + y \] \[ -11x + 9y = 4 \]

[Done] What is the ratio of X to Y if 12Y equals 7X?

[Done] After 25% of a bill is paid, $80 still remains to be paid. How much was the bill?

[Done] On a map, \(\frac{1}{4}\) inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?

[Done] An oil refinery produces gasoline from crude oil. For every 10,000 barrels of crude oil supplied, the refinery can produce 6,500 barrels of gasoline. How many barrels of gasoline can be produced from 3,500 barrels of crude oil?

[Done] After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an even layer over an empty lot with dimensions 30 yards by 64 yards, about how deep, in yards, would the layer of dirt be?

[Done] What is \(\frac{3}{4} + \frac{5}{8}\)?

[Done] What is the Pythagorean Theorem?

[Done] What number is \(\frac{47}{2}\) of 190?

[Done] #1 Simplify the square root of \(\frac{36}{121}\). Answers: A. \(\frac{18}{11}\) B. \(\frac{18}{10}\) C. \(\frac{6}{121}\) D. \(\frac{6}{11}\) #2 Simplify the square root of \(162\). Answers: A. \(81\) and \(2\) B. \(9\) and \(18\) C. \(9\) and \(6\) D. \(9\) and \(2\) #3 Between which two consecutive integers does \(\sqrt{85}\) lie? Answers: A. \(8\) and \(9\) B. \(10\) and \(11\) C. \(84\) and \(85\) D. \(9\) and \(10\)