The 7th grade students at Willow Middle School have a class picnic each school year. This year, 90% of the students attended the picnic. By 5 p. m., 36 students had left the picnic, and 34 of the students who came to the picnic were still at the picnic.

What is the total number of 7th grade students at Willow Middle School this year?

There are a total of 78

Step-by-step explanation:

Here we are to calculate the number of 7th grade students at Willow middle school given the information in the question.

Now, to calculate the number of people that attended the party, we add those that have left to those still remaining = 36 + 34 = 70 students

Now this number equals 90% of students

Thus let’s say the total number of students is x

90/100 * x = 70

90x = 100 * 70

90x = 7000

x = 7000/90

x = 77.77 which is approximately 78 students

78 students

Step-by-step explanation:

From the question, we are given the following values.

90% of the 7th grade Students attended the picnic

36 students came to the picnic

34 students still remained at the picnic.

Let the number of Higher Schools Students be represented by Y

Hence, we have

90% of Y = 36 + 34

0.90Y = 70

Y = 70 ÷ 0.90

Y = 77.777777778

Approximate to the nearest whole number

Y = 78.

The total number of 7th grade students at Willow Middle School this year is approximately 78 students.

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

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,