Questions in mathematics

Questions in mathematics

📝 Answered - Calculate the following based on the completed Table of Results. * Total number of blue stones collected * Total number of white stones collected * Total percentage of white stones out of all the stones

📝 Answered - Three times a number minus ten is equal to the sum of twice the same number and five. The equation below represents the situation. [tex]$3 x-10=2 x+5$[/tex] What is the value of [tex]$x$[/tex]?

📝 Answered - Machines A and B each assembled 3,000 metal clips in 15 hours and 12 hours, respectively, working alone at their constant rates. On Monday, working simultaneously at their respective constant rates, the two machines assembled a total of n clips in x hours. The next day, machine A was modified so that its constant rate decreased by 25 percent. If the two machines worked simultaneously at their respective constant rates for x hours after the modification of machine A, then the total number of clips that they assembled in x hours was approximately what percent less than it was the day before? A) 6% B) 11% C) 16% D) 20% E) 25% A pump delivered water to fill an empty swimming pool. The pump delivered the water at a constant rate of 450 liters per minute until the pool was half full. Then the pump became partially clogged and delivered the water at a slower constant rate until the pool was full. For the whole time during which the pump delivered water to fill the empty pool, its average rate was 360 liters per minute. What was the pump's slower constant rate, in liters per minute? A) 270 B) 288 C) 300 D) 400 E) 405 Pumps A, B, and C pump water at their respective constant rates. Working simultaneously, A and B can fill an empty pool in 6 hours. Working simultaneously, B and C can fill the empty pool in 5 hours. Working simultaneously, A and C can fill the empty pool in 4 hours. Working simultaneously, A, B, and C can fill the empty pool in approximately how many hours? A) 1.2 B) 1.6 C) 2.4 D) 3.2 E) 7.5 Each of two pumps delivers water into a tank at a constant rate of 30 liters per minute, and a third pump removes water from the tank at a constant rate of 15 liters per minute. If the three pumps start working simultaneously when the tank is filled to half of its capacity and continue working until the tank is full, it will take 12 minutes to fill the tank. What is the capacity, in liters, of the tank? A) 1,080 B) 1,040 C) 960 D) 720 E) 540

📝 Answered - 4. Identify the 6-digit number using the given clues: * The hundreds place digit is the smallest prime number. * The ten thousands place digit is thrice its ones digit. * The ones digit is the predecessor of its hundreds digit. * The thousands place digit is the largest one-digit number. * The lakhs place digit is the successor of the tens place digit. * The tens place digit is the smallest whole number. 5. Solve: [{8 + (12 ÷ 4) × 2}] - 6

📝 Answered - Simplify: $3 x \times 4 x^2$.

📝 Answered - A survey is conducted to study the favorite dessert of individuals in different regions. The two-way table is given below: | | Cake | Cookies | Ice Cream | Total | | :------ | :--- | :------ | :-------- | :---- | | South | 8 | 9 | 16 | 33 | | Midwest | 20 | 4 | 10 | 34 | | North | 18 | 11 | 4 | 33 | | Total | 46 | 24 | 30 | 100 | What is the probability that a randomly selected person from this survey is from the South, given their favorite dessert is ice cream? [tex]P( \text{South} \mid \text{Ice Cream}) = [?] \%[/tex] Round your answer to the nearest whole percent.

📝 Answered - Solve $\frac{x-1}{11}=-2$ for $x$.

📝 Answered - How is the graph of the parent function of [tex]$y=\sqrt[3]{x}$[/tex] transformed to produce the graph [tex]$y=\sqrt[3]{\frac{1}{2}} x$[/tex] ? A. It is horizontally stretched by a factor of [tex]$\frac{1}{2}$[/tex]. B. It is vertically stretched by a factor of [tex]$\frac{1}{2}$[/tex]. C. It is translated left by [tex]$\frac{1}{2}$[/tex] unit. D. It is translated right by [tex]$\frac{1}{2}$[/tex] unit.

📝 Answered - Select the correct answer from each drop-down menu. Consider the following equation: [tex]3^x=2^{-x}+4[/tex] If the equation is solved using successive approximation, select the value of [tex]x[/tex] after the following number of iterations. 1 iteration: [tex]x=[/tex] 2 iteration: [tex]x=[/tex] 3 iteration: [tex]x=[/tex] [tex]5 / 4[/tex] [tex]7 / 4[/tex] [tex]11 / 8[/tex] [tex]3 / 2[/tex]

📝 Answered - Match up each scenario with the equation that models the word problem. Jeff is 3 years less than Tony's age. Marie buys balloons for a party that are $3.00 each. Skate rental charges an additional $3.