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Diano4ka-milaya [45]
3 years ago
12

In a school of 145 students, each was asked to choose one or more activities from sport, music and drama.76 students choosr spor

t, 64 chose music and 40 students chose drama. 12 students chose both music and sport, 7 chose both sport and drama, and 21 chose both music and drama. How many students chose all three activities?​
Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

100 students chose all three

Step-by-step explanation:

first make a row for each subject and put how many students chose said subject. then subtract the number of students that chose both from the total amount of a subject

hope this helped

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Write the expression as a single natural logarithm.3In3+3Inc
k0ka [10]

Answer:

ln(27c^3)

Step-by-step explanation:

Given: 3ln(3)+3ln(c)

If there is a coefficient in front of a log or ln, that means it becomes an exponent.

ln(3^3)+ln(c^3)

Simplify the exponent.

ln(27)+ln(c^3)

When there is addition between two logarithms or natural logarithms, it means they multiply together.

ln(27c^3)

3 0
3 years ago
Read 2 more answers
How to calculate the diameter of cylinder if you are given volume of 1000Litre and 224cm height ​
Afina-wow [57]

well, let's first notice, all our dimensions or measures must be using the same unit, so could convert the height to liters or the liters to centimeters, well hmm let's convert the volume of 1000 litres to cubic centimeters, keeping in mind that there are 1000 cm³ in 1 litre.

well, 1000 * 1000 = 1,000,000 cm³, so that's 1000 litres.

\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=1000000~cm^3\\ h=224~cm \end{cases}\implies \stackrel{cm^3}{1000000}=\pi r^2(\stackrel{cm}{224}) \\\\\\ \cfrac{1000000}{224\pi }=r^2\implies \sqrt{\cfrac{1000000}{224\pi }}=r\implies \cfrac{1000}{\sqrt{224\pi }}=r\implies \stackrel{cm}{37.7}\approx r

now, we could have included the "cm³ and cm" units for the volume as well as the height in the calculations, and their simplication will have been just the "cm" anyway.

6 0
1 year ago
Can y’all help me with this one <br> (2x-3)(4x+5)=
denis-greek [22]

1. 2x-4x

2x

2. 3+5

8

3. 2x*8

6 0
2 years ago
the length of a rectangular picture frame is 3 centimeters less than twice the width. the perimeter is 78 centimeters. find the
Natalka [10]
Let the width be x
width = x
length = 2x - 3

Perimeter = x + 2x - 3 + x + 2x - 3 = 6x - 6 

6x - 6 = 78
6x = 78 + 6
6x = 84
x = 14 cm

2x - 3 = 2(14) - 3 = 25cm

The width is 14cm and the length is 25cm 
5 0
3 years ago
if there are four trucks parked in line and after the first truck each truck weighed 2 more tons than the one before. They all w
algol13
Each truck weighs five tons. 

1st truck: n 
2nd truck: n + 2
3rd truck: n + 4
4th truck: n + 6 

n + n + 2 + n + 4 + n + 6 = 32 
4n + 12 = 32 
      - 12   - 12
--------------------
4n = 20 
----  ------
 4      4

n = 5 
6 0
3 years ago
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