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?
This is the period of sin(x)
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 is the units digit of 391003435.
What is 9?
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 many natural numbers less than 100 are relatively prime to 100.
What is 40?
Rowena can paint a room in 14 hours, while Ruby can paint it in 6 hours. If Rowena paints for x hours and Ruby paints for y hours, they will finish half of the painting, while if Rowena paints for y hours and Ruby paints for x hours they will paint the whole room. This is the ordered pair (x,y).
How much is (231/40, 21/40)?
This is the radius, in inches, of a right circular cylinder if its lateral surface area is 3.5 square inches and its volume is 3.5 cubic inches.
What is 2 inches?
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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 2025.
What is 3751?
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))
Hint: It's not too complicated!
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 factorial.
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 3pi 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?