All prime numbers are odd with the exception of two. Hence, if we consider the sum of the first million primes, it consists of one even number combined with 999,999 odd numbers. Since the product of an odd number multiplied by another odd number results in an odd number, we conclude that the sum must be an odd number, being even + odd = odd.
It's clear that an odd number ends with an odd digit, so the only digit that can be eliminated is b (an even digit).
Respuesta:
Ariah necesita 2748 kilogramos de aire para llenar el globo.
Explicación paso a paso:
Response:
x ≥ 4
Step-by-step breakdown:
Given
- 4(8 - 3x) ≥ 6x - 8 ← distribute the term in parentheses on the left side
- 32 + 12x ≥ 6x - 8 (subtract 6x from both sides)
- 32 + 6x ≥ - 8 (add 32 to both sides)
6x ≥ 24 (divide both sides by 6)
Thus, x ≥ 4
Let
denote the length of the pond and <span> signify its width. It's recognized that the pond's volume equals the area of its base multiplied by its depth. In this case, the base area can be computed as volume divided by depth, equating to 72000 in³ divided by 24 in, resulting in an area of 3000 in². Given that the area is expressed as x multiplied by y, we come to equation 1, 3000 = x * y. If we have x = 2y, we substitute this into equation 1, leading to 3000 = (2y) * y, simplifying to 2y² = 3000 and consequently y² = 1500, giving y = 38.7 in. Thus, x = 2y yields x = 2 * 38.7 = 77.4 in. The conclusion is that the pond's length is 77.4 in while its width is 38.7 in.
</span>
The outcome is "
GK=37, GH=14, and JK=19".The problem references a missing attachment file, thus please find it attached.
The provided values are:
GJ=4x+2
HK=6x-1
Given GK =37
Need to calculate:
HJ=?
From GK: GK = GJ+JK yields GJ+(HK-HJ)
= 4x+2+((6x-1)-x) yields
9x+1...(a)Substituting (a) into the equation gives: 9(4)+1 yields 37 solves to x=4... for answer (b) and (c). Substituting x=4 yields:
GH=14 and JK=19.
