All types of Math Questions

Find the area of the triangle bounded by the Y-axis and the lines y-3x=-2 and 3y +x=12.

the height of the triangle is the distance from the y axis to the solution to the two linear equations. that is 1.8. the base is the distance between the two y intercepts of the linear equations. that is 6. the answer is 6 x 1.8/2 or 5.40.

thanks

A textbook has 1,000 pages. How many of the pages have page numbers whose digits add up to exactly 4?

another mystery level prob

ugh stupid case work

number of digits page numbers number of pages
1 digit 4 1

2 digit 13 4
22
31
40

3 digit 103 9
112
121
130
202
211
220
310
400
Ans: 1 + 4 + 9 = 14

what is the remainer when 5^207 is divided by 7?

note that
5 = -2 (mod 7)
5^3 = -8 = -1 (mod 7)
(5^3) ^69 = 5^207 = (-1)^69 = -1 = 6 (mod 7)

ans is 6

compute 16(125/2+25/4+9/16+1)

THE "/"s are fraction signs

write each fraction as fractions with denominators of 16. The answer is the sum of the numerator of those fractions since multiplying by 16 cancels the denominator. Therefore the answer is 1000 + 100 + 9 + 16 = 1125.

When 0.2^4 is written as a decimal, what is the product of the last two digits?


got wrong ans on THIS prob

um no mater what, the last two digits wil be 1 and 6 since the 0s will be before the 1. therefore the answer is 1 x 6 = 6

Andrew's grandfather's age is twelve times Andrew's age. If Andrew's grandfather was 55 years old when Andrew was born, how many years old is Andrew now?

g = grandpa a = andy

g = 12a

g - a = 55

12a - a = 55

11a = 55

a = 5

vanessa will graph the lines y=1/3x+7 and y=2x+5. What is the sum of the x- coordinates of the two lines' x-intercepts? Express your answer as a decimal to the nearest tenth.

THE "/"s are FRACTION SIGNS

mystery level

the x intercept of y = 1/3x+7 is: y = 1/3x + 7, -7 = 1/3x x = -21
the x intercept of y = 2x+5 is: y = 2x+5, -5 = 2x, x - -2.5

-21-2.5 = -23.5

let f(x)=Ax-2B^2 and g(x) =Bx, where B dosn't equal 0. if f(g(1)) = 0, what is A in terms of B?

g(1) = B

f(B) = AB - 2B^2

0 = 2B^2 - AB

0 = 2B - A

A = 2B

ans is 2b

A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white?

Level 23

denominator: thats just 5x4x3x2x1/(3x2x1)(2x1) = 10
numerator: thats just 10 - (4x3x2x1/3x2x1) = 6

ansa: 3/5

new prob:


Alyssa has four marbles of different colors, red, blue, green and yellow. In how many different ways can she form a set consisting of some of the marbles if she must choose at least one marble? (In a set of chosen marbles, it does not matter in what order she chose the marbles.)

dunno who it is

why did you change it to alcumus questions?????

simplify: x(3x^2-2)-5(x^2-2x+7). Express your answer as a polynomal whose terms decrease in order


WUT THE COW CHEESE IS POLYNOMIAL

yes i'm sha

3x^3-2x-5x^2+10x-35=3x^3-5x^2+8x-35,

For what value of the constant a does the system of equations below have infinitely many solutions?

3x+2y=8,
6x=2a-7-4y

the ratio 10^2000+10^2002/10^2001+10^2001 is closest to which?

0.1
0.2
1
5
10


the "/" is FRACTION SIGN!!!

write as (10^2000 (1 + 100))/(10^2000 (10+10)) the 10^2000s cancel we get: 101/20 and that is 5.05 or about 5.