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Nikolay [14]
3 years ago
13

There are 85 sixth grade students in Ms. eelings class. This makes up 34% of the students in 6th grade in the school. What are t

he titak amount of students in 6th grade.
(please show proportions)
Mathematics
1 answer:
Fed [463]3 years ago
5 0

Answer:

There are <u>250 students</u> in the 6th grade.

Step-by-step explanation:

[] Let us do "number of students" over the percentage. We will use x as the total number of students in the 6th grade.

-> 35% and 100% can be divided by 100 to become decimals

Set up a proportion:

\frac{85}{0.34} =\frac{x}{1}

Cross multiply:

85 = 0.34x

Divide both sides by 0.34:

250 = x

Reflexive property:

x = 250

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

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Help plz,BIG POINTS,also plz show me the steps as best as possible
Sidana [21]

Answer:

The correct answer is option 3.

Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

PM  = 8

MR = 18

To find = QM

Solution :

PR = 8 + 18  = 26

Let, PQ = x  , QR = y, QM = z

Applying Pythagoras Theorem in ΔPQR

PQ^2+QR^2=PR^2

x^2+y^2=(26)^2..[1]

Applying Pythagoras Theorem in ΔPQM

PM^2+QM^2=PQ^2

8^2+z^2=(x)^2..[2]

Applying Pythagoras Theorem in ΔQMR

MR^2+QM^2=QR^2

18^2+z^2=(y)^2..[3]

Putting values of x^2 and y^2 from [2] and [3 in [1].

8^2+z^2+18^2+z^2=(26)^2

2z^2=(26)^2-(8)^2-(18)^2

2z^2=288

z^2=144

z = ±12

z = 12 = QM ( ignoring negative value)

The length of QM is 12.

6 0
3 years ago
Write the decimal and fraction in simplest form to represent the shaded portion of
Kamila [148]

Answer:

The decimal in simplest form is .625, and the fraction in simplest form is 5/8.

Step-by-step explanation:

To find the decimal that represents the shaded area, you have to find the fraction 5/8 and divide 5 by 8

Hope this helps!

8 0
3 years ago
8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by
disa [49]

8) a) The new fastest time is 56.7 seconds, b) The <em>overall percentage</em> improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100)     (1)

Where:

  • C - Initial value
  • C' - Final value
  • r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The <em>overall percentage</em> improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0
2 years ago
Stephanie surveyed the students in her class to find out their favorite color. her results are in the table. what percent of Ste
wariber [46]
Hi there!

To solve this problem, we need to find the amount of classmates out of the entire class who did not choose blue as their favorite color and then convert it into a percentage. 

First, let's find the fraction:

Since there are 25 total people in her class, since

6 + 9 + 10 = 25

25 is the denominator of the fraction;

Since there are 16 people who did not choose blue,

6 + 10 = 16

16 is the numerator of the fraction. 

So, our fraction is 16/25. 

Now, we need to convert it into a percentage. To do this, we need to make the denominator 100 by multiplying it by a certain number, and then multiplying the numerator by that same number so the fraction stays equal:

16/25 
= 16*4/25*4
= 64/100
= 64%

So, the answer is 64% of Stephanie's classmates.

Hope this helps!
3 0
3 years ago
The weight of 1000 identical samples of a substance is 10 pounds. What is the weight of 10 samples?
Delvig [45]
Help?? I need that question to but just that the weight instead of being 1000 is 2000
4 0
3 years ago
Read 2 more answers
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