Assumptions: Employees do not need to go through the purchasing department to order office supplies and furniture.

Mathematics

1 answer:

kompoz [17]3 years ago

5 0

Cannot be determined based on the information available

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Seven times a number is less than or equal to a quantity that is 24 less than that same

Ad libitum [116K]

Answer:

$7x\leq x-24$

Here, $x$ denotes the required number.

Step-by-step explanation:

Let $x$ denotes the required number that satisfies the following condition.

''seven times a number is less than or equal to a quantity that is 24 less than that same number''

Seven times a number is equal to $7x$

Quantity that is 24 less than that same number is equal to $x-24$

Now find the inequality.

As seven times a number is less than or equal to a quantity that is 24 less than that same number,

$7x\leq x-24$

6 0

3 years ago

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

bija089 [108]

$a_1=-9\\\\a_2=a_1-8\to a_2=-9-8=-17\\\\a_3=a_2-8\to a_3=-17-8=-25\\\\a_4=a_3-8\to a_4=-25-8=-33\\\\\text{The general term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=-9\ \text{and}\ d=-8.\ \text{Substitute:}\\\\a_n=-9+(n-1)(-8)=-9-8n+8=-8n-1\\\\\text{Put n = 43 and calculate}\ a_{43}\\\\a_{43}=-8(43)-1=-344-1=-345\\\\Answer:\ \boxed{?=-345}$