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
Delicious77 [7]
3 years ago
5

There are 4 different math courses, 5 different science courses, and 2 different history courses. If a student must take one of

each, how many different ways can this be done?
Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

A student can take three subjects in 40 ways.

<u>SOLUTION:</u>

Given that, there are 4 different math courses, 5 different science courses, and 2 different history courses.

A student must take one of each, how many different ways can this be done?

Now, number ways to take math course = 4

Number of ways to take science course = 5  

Number of ways to take history course = 2

So, now, total possible ways = product of possible ways for each course = 4 x 5 x 2 = 40 ways.

Hence, a student can take three subjects in 40 ways.

You might be interested in
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
How to solve <br> 14x+2=9
shusha [124]

Answer:

14x + 2 = 9

-2          -2

14x = 7

/14   /14

X = 7/12

6 0
3 years ago
Read 2 more answers
55 is what percent of 100
max2010maxim [7]

55 is 55% of 100.

percents are based of of 100, so 55 would be 55/100 or 55%.

5 0
3 years ago
2. What is the overall purpose of photosynthesis?​
mafiozo [28]

Answer:

plants getting there food is the basic use of photosynthesis

Step-by-step explanation:

6 0
3 years ago
Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the
vodomira [7]

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

<em><u>Solution:</u></em>

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

<h3><u>Steps to follow:</u></h3>
  • First: work out the difference (increase) between the two numbers you are comparing.
  • Increase = New Number - Original Number.
  • Then: divide the increase by the original number and multiply the answer by 100.
  • % change = Increase ÷ Original Number x 100

\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100

\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}

Thus the rate of change is 391.5 % increase

5 0
3 years ago
Other questions:
  • Can someone solve this
    7·1 answer
  • Increase £500 by 3.2% how do you work it out
    13·1 answer
  • Subtracting the lowest score in a data set from the highest is the appropriate way to calculate the __________. A. range B. medi
    13·2 answers
  • 1. When Mrs. Weeks bought all of the baseballs and softballs, she paid
    10·1 answer
  • The coordinates of the vertices of a triangle are (3,6),(5,0),and (0,0) what is the area of the triangle?
    14·1 answer
  • ___ A warm front brings warmer weather with light precipitation <br><br> A.true<br> B.false
    14·1 answer
  • What are the answers
    6·1 answer
  • The graph of a function is shown:
    8·1 answer
  • Perform the indicated operations/solutions.<br> 1. 12-7+45÷15x11=<br> 2. 16x2+12-18÷9-4=
    8·1 answer
  • describe whether the association in the scatter plot below is linear or non-linear and positive or negative.​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!