Select the expression that is written in expanded form and is equivalent to 4(2n+3p).

A : 20np
B : 6n+7p
C :8n+3p
D :8n+12p

Step-by-step explanation:

Given equation:

Multiplying 4 individually to the values inside the bracket.

On solving the equation by multiplying the values by 4 individually gives the answer :  

The terms of n and p cannot added as they are two different variables with different values .

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950