Hence, the correct option is (D)There are no extraneous solutions to the equation.
<h2>What is an expression?</h2>
expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)
<h3>How to solve?</h3>
the correct option is (D)There are no extraneous solutions to the equation.
to learn more about expressions: brainly.com/question/1859113
#SPJ4
<h3>
Answer:</h3><h3 /><h3>Amount = Rs 13891.50</h3><h3>Compound interest = Rs 1891.50</h3>
Step-by-step explanation:
C = Amount (A) - Principal (P)
Where
C is the compound interest
To find the amount we use the formula

where
P is the principal
r is the rate
n is the period / time
From the question
P = Rs 12, 000
r = 5%
n = 3 years
Substitute the values into the above formula
That's

We have the answer as
<h3>Amount = Rs 13891.50</h3>
Compound interest = 13891.50 - 12000
<h3>Compound interest = Rs 1891.50</h3>
Hope this helps you
Answer:
Theoretical probability
Step-by-step explanation:
The theoretical probability is defined as:

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:
number of desired results = 1
The amount of paper in the bag is equal to 7, so:
number of possible results = 7
Thus:

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.
To calculate the experimental probability we must perform the following experiment:
Take a paper out of the bag, record the number obtained and then return the paper to the bag.
Now repeat this experiment n times. (Perform n trials)
So:

To calculate a theoretical probability you always need to perform an experiment with n trials.
Answer:
200 sets of 10 can be ordered to complete the order of 2,000 cakes.
Step-by-step explanation:
Total numbers of cupcakes to be ordered = 2,000
The number of cupcakes in 1 set = 10
So, 
= 
or, Number of cupcake sets = 200
Hence, 200 sets of 10 can be ordered.
1.
Consider a group of n objects. Assume we want to form groups of r, from these n objects.
There are in total

many ways of doing so.
where, r! is "r factorial", calculated as 1*2*3*...*(r-1)*r
2.
C(x, 2) is the total number of pairs out of x objects, that we can form.
so let the x objects represent the x teams, and 2, represent a group of 2, which means a game.
The total number of games is:
n(x)=2*C(x, 2) =

Remark, we multiplied by 2, since there will be 2 matches for each pair of teams.
Answer: