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Darya [45]
3 years ago
5

Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same numbe

r she originally thought of. What was Amrita's number?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

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Find C to form completing Square<br> <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x%20%2B%20C" id="TexFormula1" title="x^
postnew [5]

Answer:

\frac{25}{4}  (or 6.25)

Step-by-step explanation:

Let's do a simple square problem to see the relationship between the elements of the resulting equation...

(x+3)(x+3) = x(x+3) + 3(x+3) = x^{2} +3x + 3x + 9 = x^{2} + 6x + 9

As you see, the number of 'x' (6) is the double of the numeric part of the binomial expression (3), while the numeric-only part (9) is the square of the numeric part of the binomial expression (3).

So, if we look at the formula from the problem, we see the the number of 'x' is 5. To obtain the C value, we need to divide the 5 by 2... then get the square value of the result.

\frac{5}{2} * \frac{5}{2} = \frac{25}{4}  (or 6.25)

3 0
3 years ago
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Thursday. There were fewer cheeseburgers sold th
myrzilka [38]

Answer:

the number of hamburgers sold on Thursday were 325.

Step-by-step explanation:

The total number of hamburger and cheese burger is missing

i will replace it with any figure, you can replace it wit your given data and you will get the solution.

A local hamburger shop sold a combined total of 593 hamburgers and cheeseburgers on Thursday

There were 57 fewer cheeseburgers sold than hamburgers

How many hamburgers were sold on thursday

Let h be the number of hamburgers and c be the number of cheeseburgers.

Using this information we can set up two equation as:

h+c=593\\c=h-57

Now we need to solve these two equations to get the value of number of hamburgers. For that we use substitution method as shown below:

h+h-57=593\\2h-57=593\\2h=650\\h=325

Therefore, the number of hamburgers sold on Thursday were 325.

6 0
3 years ago
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