Grade - math word problems - page 953 of 968

Number of problems found: 19343

Sequence
Calculate what member of the sequence specified by (5^n-2+15) has value 20.
Pumps
A tank is filled by two pumps working together in 23 minutes. The first pump alone fills the tank 37 minutes faster than the second pump alone. How long does it take the first pump to fill the tank on its own?
Octagon
We have a square with side 56 cm. We cut the corners to create a regular octagon. What is the side length of the octagon?
Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z?
Diofant equation
In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
Reciprocal
Prove that if a > b > 0, then: (1)/(a)< (1)/(b)
Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)?
Roots
Find the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x ² +9x + q = 0
Biquadratic
By introducing a new variable, solve the biquadratic equation: - x ⁴ +277 x² -15876=0
Meridian
What is the arc length of the Earth's meridian corresponding to 41° if the radius of the Earth is 6370 km?
Euler problem
Someone buys a number of towels for a total of 720 tolars. If for the same amount of money they could buy 6 more towels, each towel would be 6 tolars cheaper. How many towels were originally bought?
Binomials
Add a number to the binomial 100x²-260x so that the resulting trinomial is the square of a binomial.
Powers
Is it true for any number a,b,c,d equality:? (a-b-c-d)⁶ = (d+c+b-a)⁶
Is equal
Is it equal following terms? -9²¹ = (-9)²¹
Rectangular field
One dimension of a rectangular field is 168 m greater than the other. When each side is increased by 9 m, the area of the field becomes 2187 m². Find the dimensions of the field.
Determine the number
Determine the number x that x+8 is (7)/(5) from one half of 7 x -1.
Root
Use the law of square roots: cbrt (sqrt[2] (sqrt[4] (6))) = sqrt[n] (6)
Quadratic equation
Determine the numbers b and c that the numbers x₁ = -8 and x₂ = -1 were roots of the quadratic equation: -3x ² + b x + c = 0
Rates
When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m³ of gas a flat monthly fee of 4.2 € (regardless of consumption) rate B - which pays 0.351 € per 1 m³ of gas a flat monthly fee of 10.1 € From what monthly co
Trigonometric functions
In a right triangle, it holds that: tg α= frac(4) 2 Find the values of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20)

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