Answer:
The number of people who ordered steak dinner is 5
The number of people who ordered chicken dinner is 2
Step-by-step explanation:
Given as :
The total number of people went for the dinner = 7
The total bill price for the dinner = $ 109
The price for the chicken dinner = $ 12
The price for the steak dinner = $ 17
Let The number of people who ordered chicken dinner = c
And The number of people who ordered steak dinner = s
Now, According to question
The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner
Or, c + s = 7
And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner × The number of people who ordered steak dinner
Or, $ 12 × c + $ 17 × s = $ 109
Now, solving the equations
$ 12 × ( c + s ) = $ 12 × 7
Or, $ 12 × c + $ 12 × s = $ 84
Or, ( $ 12 × c + $ 17 × s ) - ( $ 12 × c + $ 12 × s ) = $ 109 - $ 84
Or , ( $ 12 × c - $ 12 × c ) + ( $ 17 × s - $ 12 × s ) = $ 25
Or, ( 0 ) + ( $ 5 s ) = $ 25
∴ s =
I.e s = 5
So, The number of people who ordered steak dinner = s = 5
Put the value og s in Eq A
∵, c + s = 7
or, c = 7 - s
Or, c = 7 - 5
I.e c = 2
So , The number of people who ordered chicken dinner = c = 2
Hence The number of people who ordered steak dinner is 5
And The number of people who ordered chicken dinner is 2 Answer
Answer:
15,267
Step-by-step explanation:
To solve this problem, lets use the exponential growth formula which is:
A = total amount
P = original amount
r = growth rate (decimal)
t = years
<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>
3.5% -> -> 0.035
Lets plug in the values:
The population after 7 years will be 15,267.
Answer:
1. leave the radical symbol and don't try to convert it to a decimal form
2. The approximated value differs from the exact solution and doesn't give a true equation.
3. Depending on the case, if she needs a mathematical answer, the exact value should be used, but for more practical applications, the rounded decimal form would be more usable.
Step-by-step explanation:
The step by step solution to the equation:
1.- Exact solution means that if in the final step when solving for x the value of is not a perfect cube, one needs to leave it indicated as a radical expression (with the radical symbol).
in our case, the cubic root of 189 is not a perfect cube. The factor form of 189 is: , so there is a perfect cube factor (
), but the other factor (7) is a prime number. Therefore 3 can get out of the root, while 7 stays inside.
2.- The equation was solved above, in exact form. Now to solve it giving a decimal approximation, we use a calculator to find the cubic root of 7, which is an irrational number with infinite number of decimals, the first of which we type here:
Therefore, the decimal approximation to the solving for x would be:
Where we rounded to two decimals as requested.
When we replace the exact answer in the original expression, we get a perfect equality:
While if we use the approximate answer, we get:
which is NOT a true equality.
3.- I would stick with the idea of showing the exact answer as answer to the mathematical equation. but for a practical case (for example she needs to by some material as a result of her equation solving, it would be more practical to take the numerical approximation to the store, instead of a cubic root of a number.