What is the greatest whole number that rounds to 621860

3. In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second

Katen [24]

12

<h3>Further explanation</h3>

<u>Given:</u>

In an auditorium,

$\frac{1}{6}$ of the students are fifth graders,
$\frac{1}{3}$ are fourth graders, and
$\frac{1}{4}$ of the remaining students are second graders.

There are 96 students in the auditorium.

<u>Question:</u>

How many second graders are there?

<u>The Process:</u>

The least common multiple (LCM) of 3 and 6 is 6.

Let us draw the diagram of all students.

$96 \div 6 \ units = 16 \rightarrow \boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16} = 96 \ students$

$\frac{1}{6}$ of the students are fifth graders, or 1 of 6 units above, that is $\boxed{16} = 16 \ students$
$\frac{1}{3} = \frac{2}{6}$ are fourth graders, or 2 of 6 units above, that is $\boxed{16}\boxed{16} = 32 \ students$

The remainder is 6 units - (1 unit + 2 units) = 3 units, that is $\boxed{16}\boxed{16}\boxed{16} = 48 \ students$ . Or, 96 - 16 - 32 = 48 students.

$\frac{1}{4}$ of the remaining students are second graders.

Let us count how many second graders are there.

$\boxed{ \ \frac{1}{4} \times 48 \ students = ? \ }$

Thus, there are 12 second-graders in the auditorium.

- - - - - - - - - -

Quick Steps

$\boxed{ \ \frac{1}{4} \times \bigg(1 - \frac{1}{6} - \frac{1}{3} \bigg) \times 96 = ? \ }$

$\boxed{ \ = \frac{1}{4} \times \bigg(\frac{6}{6} - \frac{1}{6} - \frac{2}{6} \bigg) \times 96 \ }$

$\boxed{ \ = \frac{1}{4} \times \frac{3}{6} \times 96 \ }$

$\boxed{ \ = \frac{3}{24} \times 96 \ }$

We crossed out 24 and 96.

$\boxed{ \ = 3 \times 4 \ }$

$\boxed{\boxed{ \ = 12 \ students \ }}$

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Keywords: In an auditorium, 1/6 of the students, fifth graders, 1/3, fourth, 1/4, the remaining students, second, 96, how many, second graders

3 0

2 years ago

Read 2 more answers

Can someone help me with this math problem

PSYCHO15rus [73]

Answer:

It is congruent to the angle F, as they are similar triangles.

3 0

1 year ago

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

Reil [10]

If it's parallel to x - y = 7, that means the slope of that equation is the slope for the equation you're looking for. To get the slope, you need to put the given equation into slope intercept form, so move x to the other side. You should get: -y = 7 - x Then, to get the y positive, divide by -1: y = -7 + x Slope intercept form is as follows: y = mx + b, so whatever the number is in front of x is your slope. In this instance, your slope is 1. You now have your slope, and a point in which your new line passed through. Using slope intercept form, y = mx + b, if you substitute in what you know, you can find your answer. Right now you know y, m, and x, and you're looking for b. x=1; y=0; m=1. So, substituting, you'd get 0 = (1)(1) + b 0=1+b Solve You should get b= -1, leaving your final answer as y = x - 1

3 0

2 years ago

Complete the square to rewrite y=x^2-6x+14 in vertex form. Then state whether the vertex is a maximum or minimum and give is coo

Vladimir [108]

Answer:

3,5, Minimum

Step-by-step explanation:

y=x²-6x+14

y=(x²-2*3x +3²-3²)+14

y=(x²-2*3x+3²)+14-9

y=(x-3)²+5

a=1

p=3

q=5

a>0 ⇒ vertex is minimum

V(p,q) ⇒ V(3;5)

5 0

3 years ago

Triangle abc is similar to xyz. which proportion can be used to find the unknown side length

Alex17521 [72]

Unknown side length of two similar triangles can be found out by scale factor and any of the side lengths.

Step-by-step explanation:

The similarity is one of the criteria of triangles. Two triangles are similar when their respective sides are in similar ratio or proportion. In layman’s term, it can be understood as a condition in which two triangles have similar shapes but not similar sizes.

If ΔABC is similar toΔ XYZ, then their respective sides would be in proportion to each other.

This means AB/XY=AC/XZ=BC/YZ

This common ratio is often termed as “scale factor”

Hence any sides length can be found out if either of the terms (i.e. scale factor, side ) is given.

7 0

2 years ago