Basic operations and concepts - math word problems - page 310 of 324
Number of problems found: 6464
- Square ABCD
Construct a square ABCD with center S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct a square image in the displacement given by oriented segment SS'; S` [-1 - 4]. - Mixture of nuts
We should prepare the mixture of nuts from almonds, peanuts, and nuts cashew ratio of 1:2:3 (respectively). The price of almonds is 150 CZK/kg, the price of peanuts is 140 CZK/kg, and the price of cashew nuts is 180 CZK/kg. The price of the mixture is det - Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Sloth meeting distance
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Line point division
Draw a point x on the line, which divides it in the given ratio: a) 2:3 b) 1:5 c) 6:2 - Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma - Circle line probability
A rectangular grid consists of two mutually perpendicular systems of parallel lines with a distance of 2. We throw a circle with a diameter of 1 on this plane. Calculate the probability that this circle: a) overlaps one of the straight lines; b) do any of - Hexagon = 8 parts
Divide the regular hexagon into eight equal parts. - Employee reduction probability
Seven women and 3 men work in one office. According to the new regulation, reducing the number of employees by three is necessary. In a random sample of employees, what is the probability that they will be fired: a. One woman and two men b. At least one w - Lines
How many points will intersect 27 different lines where no two are parallel? - Parallelogram diagonal construction
Construct a parallelogram ABCD if a=5 cm, height to side a is 5 cm, and angle ASB = 120 degrees. S is the intersection of the diagonals. - Boys and girls
There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them? - Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist? - Gorilla fruit supply
At the Prague Zoo, they need to know how long the fruit will last for the gorillas. The stock in the warehouse would last the female Kamba for 25 days, the male Richard for 20 days, and the little Nura even for 40 days. How long will the supply last if ev - Graphic solution
Solve the system by the graphical method: x + y = 8 2x-y = 1 - Three-day trip
George went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if George drove - Four pavers
Four pavers would pave the square in 18 days. How many pavers do you need to add to the done work in 12 days? - Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get? - Population variance
60% of students at a California community college will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If eight students are randomly selected, find the population variance σ² - Six questions test
There are six questions in the test. There are three answers to each - only one is correct. To take the exam, students must answer at least four questions correctly. Alan didn't learn, so he circled the answers only by guessing. What is the probability th
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