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vichka [17]
2 years ago
5

All the students in a school were weighed. Their average weight was 30.8 kilograms, and their total weight was 16,293.2 kilogram

s. How many students are in the school?
Mathematics
1 answer:
Zinaida [17]2 years ago
7 0

Answer: 529 students

Step-by-step explanation:

To solve this, we will be using the formula for finding averages:

> (total sum of student weights) ÷ (total sum of students) = (average of student weights)

Plugging in the values that are given in the problem, you get:

> 16,293.2 ÷ x = 30.8

Where x is equal to the total sum of students. From here, it's a simple equation to isolate x, and find out what numerical value x is equal to. In case you are unsure how to do this, I've created a clear step by step process for how to do this (NOTE: The slash represents division, while the asterisk represents multiplication.):

> 16,293.2 / x = 30.8

> (16,293.2 / x) * x = (30.8) * x

> 16,293.2 = 30.8 * x

> (16,293.2) / 30.8 = (30.8 * x) / 30.8

> 529 = x

In total, there are 529 students in the school.

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#16 i
Vlad1618 [11]

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

\mathbf{(x,y) \to (0,9200)(5,10900)}

A linear function is represented as:

\mathbf{y = mx + b}

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

\mathbf{10900 = 5m + 9200}

Subtract 9200 from both sides

\mathbf{1700 = 5m}

Divide both sides by 5

\mathbf{340 = m}

So, we have:

\mathbf{m =340 }

The function becomes

\mathbf{y = mx + b}

\mathbf{y = 340x + 9200}

In the academic year 2023-2024, x = 9.

So, we have:

\mathbf{y = 340x + 9200}

\mathbf{y = 340 \times 9 + 9200}

\mathbf{y = 3060 + 9200}

\mathbf{y = 12260}

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

brainly.com/question/21107621

4 0
3 years ago
Jessi bough 18 gallons of paint to paint her house and garage. If she used 75% of the paint on the house and half of the rest on
Phoenix [80]
She had 0.125% of the paint left over

4 0
3 years ago
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Someone help me please thank you
UkoKoshka [18]
It will take him 8 hours
6 0
3 years ago
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A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area
Lana71 [14]
The area of the washer will be the area of the smaller circle SUBTRACTED from the area of the larger circle.

Area of a circle = pi * r^2 where r is your radius (which is half the diameter).
Larger circle area = pi *(diameter/2) ^2.
Smaller circle area = pi * (13.2/2)^2 = pi * 6.6^2 = 136.8484....

So...the area of the washer = larger circle area - 136.4848...
5 0
3 years ago
What is the Lcm of 2 and 7
wel

Answer:

14

Step-by-step explanation:

The least common multiple is a number that both numbers can multiply something to get to, and the smallest possible common one.

Let's try listing out the multiples of 2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

And the multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70

Notice that both have the number 14 in common, and it is the first number that they do so.  There are lots of other multiples that they have in common too, but 14 is the least.

5 0
3 years ago
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