Inequalities - practice problems - page 3 of 4

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 79

Following 64814
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third party c: (A) 7
In the
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170?
Ľé sweets
There are 20 sweets in the bag. Some are chocolate, other coconuts, and the remaining marzipan. Chocolate is four times more than coconut. Marzipan's less than chocolate. How much is in a bag of coconut sweets?
Right triangle Alef
The obvod of a right triangle is 84 cm, and the hypotenuse is 37 cm long. Determine the lengths of the legs.
Solve 8
Solve the given problem involving linear inequalities in two variables. Your parents give you a weekly allowance greater than Php200. The allowance is budgeted for your food and school needs. If you allowed Php70 for your school needs, what would be the m
Dining tables
In the dining room are tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50?
Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once.
Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one.
Horses 2773
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there?
600 pencils
Six hundred pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?
Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed?
Renting
Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which in
Trees
Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, leave them eight trees. If they seed in rows of 43, left the 11 trees. How many trees must seed?
Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc
Probability 3322
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle?
Yoshi's
Yoshi's father gave him 200 Pokemon cards. Each week, Yoshi purchases 25 Pokemon cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Yoshi will have more than 750 Pokemon cards in
Parakeets 80471
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep?
Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.)

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