Questions in mathematics

Questions in mathematics

[Free] Eight less than ten times a number is 82. What is the number?

[Free] The length of a rectangular field is 4 meters longer than its width. If the perimeter is 56 meters, what is the width of the field?

[Free] If a number is added to the numerator of [tex]\frac{4}{9}[/tex] and the same number is subtracted from the denominator, the result is [tex]-9[/tex]. Find the number.

[Free] During a triathlon, Sharon swims \(\frac{1}{4}\) of the total route and cycles \(\frac{3}{5}\) of the remaining route. She runs the rest of the route. If she runs 3,600 meters, find the total distance of the triathlon route.

[Free] If a number is added to the numerator of \(\frac{4}{9}\) and twice as much is subtracted from the denominator, the result is \(-9\). Find the number.

[Free] Solve the following problem for y. \[4x + 12y = 24\]

[Free] A coin is tossed 20 times. It lands heads 4 times. Compare the experimental probability to its theoretical probability. If the probabilities are not close, explain a possible reason for the discrepancy.

[Free] For breakfast, a customer can choose two different items from the following list: eggs, pancakes, waffles, oatmeal, bacon, or muffin. How many different breakfast meals are possible?

[Free] A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry, so the coach bought 6 more hamburgers and 2 more fries for $16.60. Find the cost of each hamburger and each fry. Let: \[ h = \text{cost of one hamburger} \] \[ f = \text{cost of one fry} \] Formulate the system of equations: \[ 8h + 5f = 24 \] \[ 6h + 2f = 16.60 \] Solve the system of equations to find the values of \( h \) and \( f \).

[Free] Solve the linear equation for graphing: \(\frac{1}{4}x + \frac{3}{4}y = 1\)