1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adoni [48]
3 years ago
7

The science fair judges will be science teachers and volunteers. Each judge will only have time to view 5 science fair projects.

There are 133 science teachers. What is the fewest number of volunteers needed to have enough judges for all of the projects?
Mathematics
2 answers:
kupik [55]3 years ago
7 0

Answer: The fewest number of volunteers needed to have enough judges for all of the projects is 2.

Step-by-step explanation:

Number of science teachers = 133

Number of science fair projects viewed by each judge = 5

Let the number of judge be n

Since number of volunteers must be multiple of 5 .

According to question,

5n=135+\text{number of volunteers}\\\\\text{ where, n is a natural number and number of volunteer must be integer}

So, Possibility for number of volunteers must be 2 to make it divisible by 5.

5n=133+2\\\\5n=135\\\\n=\frac{135}{5}\\\\n=27

Hence, the fewest number of volunteers needed to have enough judges for all of the projects is 2.

Alex787 [66]3 years ago
5 0
The answer is twenty seven
You might be interested in
What is the answer
Nastasia [14]

Answer:

both

Step-by-step explanation:

neither of those can be an answer. because x is less than or equal to -1

5 0
3 years ago
What is the antiderivative of 3x/((x-1)^2)
Maslowich

Answer:

\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

Step-by-step explanation:

Given

\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx

\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx

=3\cdot \int \frac{x}{\left(x-1\right)^2}dx

\mathrm{Apply\:u-substitution:}\:u=x-1

=3\cdot \int \frac{u+1}{u^2}du

\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}

=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx

=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)

as

\int \frac{1}{u}du=\ln \left|u\right|     ∵ \mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)

\int \frac{1}{u^2}du=-\frac{1}{u}        ∵     \mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1

so

=3\left(\ln \left|u\right|-\frac{1}{u}\right)

\mathrm{Substitute\:back}\:u=x-1

=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)

\mathrm{Add\:a\:constant\:to\:the\:solution}

=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

Therefore,

\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

4 0
3 years ago
karas grandmother is knitting a baby cap for charity she knitted 1/5 of the cap yesterday morning by evening she had knitted 7/1
dolphi86 [110]
9 10th of the cap is sewn because you multiply 5 times two to get them b
oth to ten so you multiply 1 by 2 and you get 2. So 7 plus 2 is 9 10th
7 0
3 years ago
Can someone help me match these up? i know the given is number one I need help with the rest.
EleoNora [17]
C-1\\E-2\\B-3\\D-4\\A-5
6 0
3 years ago
Read 2 more answers
In a class of 30 students 13 of them are boys what percentage of the class are girls. , give your answer 1 decimal place
Iteru [2.4K]

Answer:56.7%

Step-by-step explanation:17% of 30

6 0
3 years ago
Other questions:
  • What is this mess. you will get 29 pts if you know
    15·2 answers
  • You and a friend sell hats at a fair booth. You sell 16 hats on the first shift and 21 hats on the third shift. Your friend sell
    15·2 answers
  • Claire has 10 necklaces to sell. She is selling 2 per hour. On your own, graph the situation and how many remaining necklaces sh
    6·1 answer
  • to copy an angle using only a compass and a straightedge begin by marking the vertex of the new angle. then draw a ray from vert
    12·1 answer
  • What number is 5 10's greater than 89?
    9·1 answer
  • −4y−4+(−3)<br> i need help solving this
    15·2 answers
  • A rectangular painting measures 1/2 yards wide and 5/4 yards long find the area of the painting in square yards.
    14·1 answer
  • Can i pls get help with this homework question if you get it right i will give you branlest
    11·1 answer
  • Bag C is four times lighter than Bag A. Bag B is twice as heavy as Bag C. How much heavier is Bag A than Bag B ?​
    9·1 answer
  • What is the smallest angle of a right triangle with sides 9, 40, and 41? Round your answer to the nearest degree, and enter the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!