Algebra
3x + 5y = 10
x - 3y = 15
Is a system of equations that can be constructed from these values of x and y.
What are x = 7.5 and y = -2.5?
Sin(1020o) has this value.
What is sqrt(3)/2?
What is 2pi?
There are this many "p"s in the following sentence.
My superpower is having the persistence to power through pain, and perspire even when powerful people go pale.
What is 11?
This many natural numbers less than 100 are relatively prime to 100.
What is 40?
A right triangle has legs of length 10 and b, and a hypotenuse of length c. The perimeter of the triangle is 30. This is the value of c.
What is 25/2?
The area of rectangle ABCD is 72. Should point A and the midpoints of BC and CD are joined to form a triangle, the triangle has this area.
What is 27?
This is the simplest form of sin2(65.4242/31.932)+cos2(65.4242/31.932). Round to the nearest tenth.
What is 1.0?
Big Greg has a buck fifty in his pocket, including 3 quarters, 5 nickels, and 20 pennies.
This is the probability of Big Greg reaching into his pocket, and pulling out a quarter randomly.
What is 3/31?
This is the units digit of 371003435.
What is 3?
A farmer has a 300 foot long barn, and this amount of fence allows him to construct a rectangular fence of a maximum area of 1250 square feet bordering his farm.
How much is 100 feet of fence?
Benny Boy has a cube of water weighing 1,000 kilogram, and would like to store it in a spherical container (though the water will remain in a cube inside the container).
The smallest container that would work for Benny Boy has this interior radius.
What is sqrt(3) meters?
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This is the Google Classroom code!
The phrase BETTER has this many distinct permutations.
What is 180?
This is the sum of the factors of 2016.
What is 6552?
A, b, and c are real numbers for which a2b2=28, b2c2=21, a2c2=27 where a<b<c.
3b has this value.
What is -sqrt(42)?
The isosceles right triangle ABC has right angle at C and area 12.5. The rays trisecting angle ACB intersect AB at D and E. The triangle CDE has this area.
What is 25-25sqrt(3)/2?
This is the simplified form of:
1/2 cos(a + b) + 1/2 cos(a - b)
(In terms of cos(a) and cos(b))
What is cos(a)cos(b)?
If the probability that a baby born in a certain hospital will speak in the next day is 1/4, this is the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow.
What is 47/128?
There are this many trailing zeroes in 700!.
What is 174?
For certain real numbers a, b, and c, the polynomial g(x) = x3 + ax2 + x + 10 has three distinct roots, and each root of g(x) is also a root of the polynomial f(x) = x4 + x3 + bx2 + 100x + c.
f(1) has this value.
What is -7007?
Spot's doghouse has a regular hexagonal base that measures one yard on each side. He is tethered to a vertex with a two-yard rope. Spot can reach this much area outside of his doghouse.
What is 8pi/3 square yards?
These two functions can be used to squeeze sin(x)/x about x = 0?
What are 1 and cos(x)?
This is the median of the following list of 4040 numbers? 1, 2, 3, ..., 2020, 12, 22, 32, ..., 20202.
What is 1976.5?
There are this many natural numbers less then 2,025,922 relatively prime to 2,025,922.
What is 1007124?