Answer:
30 copies.
Step-by-step explanation:
Let's represent p as pages and c as copies
90p = 3 m
m = 90/3
m = 30
Let the integers be x - 1, x and x + 1, then
x - 1 + x + x + 1 = -42
3x = -42
x = -42/3 = -14
The three consectutive integers are -15, -14 and -13
Answer:
No. The sum of 2 and 4 is less than 7.
Step-by-step explanation:
So, first, to create a triangle, the sum of two smallest sides have to be greater than the longest side, which is 2+4 = 6, and 6 is smaller than 7.
So, no, 2, 4, and 7 cannot create a triangle, to be exact a right triangle.
Hope this helps!!
Simplify:
37 - (-3)^2 + 30/(-3)x^2
= 37 + - 9 + - 10x^2
Combine like terms:
= 37 + - 9 + - 10x^2
= ( - 10x^2) + (37 + - 90
= - 10X^2 + 28
Answer: - 10x^2 + 28
To Factor:
37 - (- 3)^2 + 30/- 3x^2
- 10x^2 + 28
- 2(5x^2 - 14)
Answer: - 2(5x^2 - 14)
I simplify, and factor, because, you didn't really specify what you wanted help on with this equation. - Thanks -
Hope that helps!!!!
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
