Aschool cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. if this pattern continues, in what week will the cafeteria sell 40 slices? explain how you got your answer

the 6th week. The answer was computed using the geometric progression to establish the pattern of sales.

Step-by-step explanation:

Given that the school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. We may show this as a sequence

1280, 640, 320,

From the pattern, we see that the next term is equivalent to the previous multiplied by 0.5. This is known as a geometric progression GP. The nth term of a GP is given as

Tn = ar^ (n-1)

where a is the first term. Tn is the nth term and r is the common ratio

40 = 1280 * 0.5^n -1

40/1280 = 0.5^n -1

(1/2)^5 = (1/2)^n -1

Comparing the powers,

5 = n - 1

n = 5 + 1

= 6

It means that the cafeteria sell 40 slices in the 6th week if the pattern continues

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights