Adrian earns 16000 per month. He spends 1/4 of his income on food, 3/10 of the remainder on his house rent and 5/21 of the remainder on the education of children. How much money is still left with him?

Answer:

205000

Step-by-step explanation:

Given :  253,495 - 48,617

To Find : What is rounding and estimate

Solution:

To Estimate a difference by rounding.

1 ) Round each term that will be subtracted

2 )Subtract the rounded numbers

Round off of 253,495 = 253000

Round off of 48,617 = 48000

So,  253000 - 48000 = 205000

Hence The rounding and estimate 253,495 - 48,617= 205000

Final answer:

To make an equation with no solution, choose a constant for the question mark that, when combined with the existing terms, will create a contradiction when attempting to solve for x. For the equation 3(x - 4/3) = 3x + ?, placing the number 5 in the question mark will result in 3x - 4 = 3x + 5, which simplifies to a contradiction of -4 ≠ 5, meaning no solution exists.

Explanation:

To create an equation with no solution, you should first expand the expression on the left-hand side of the equation. When you distribute the 3 across (x - 4/3), you get 3x - 4. In order for the equation to have no solution, the right-hand side of the equation must be equal to 3x plus a constant value that is not -4.

By setting the equation to 3x + 5, for example, you ensure there can be no value of x that will satisfy the equation because when you attempt to solve it, you'll reach a contradiction.

Here's the detailed transformation:

Start with 3 (x - 4/3) = 3x + ?

Distribute the 3 to get 3x - 4 = 3x + ?

To ensure no solution, choose a constant that is not -4, for example, +5, to get 3x - 4 = 3x + 5

Subtract 3x from both sides to attempt to solve for x: -4 ≠ 5, which is clearly a contradiction, indicating no solution.

Barney should get 2 as his answer.Ana's result implies  N = 2.Therefore, when Barney multiplies the same numberN  by 8, he should get 16 as his answer.

Ana's result implies that [tex]\( N \div 8 = 0.25 \).[/tex] To find the original number N we can multiply both sides by 8:

[tex]\[ N = 0.25 \times 8 = 2 \][/tex]

Therefore, the original number Nis 2. Now, Barney is asked to multiply the same number N by 8.

[tex]\[ \text{Barney's result} = N \times 8 = 2 \times 8 = 16 \][/tex]

Hence, Barney should get 16 as his answer.

In summary, Ana's division of N  by 8 resulting in 0.25 implies that the original number  N  is 2. When Barney multiplies this number by 8, he should get 16 as the final answer.

It's important to note that Ana's division and Barney's multiplication are inverse operations. Ana divided by 8, and to undo that operation, we multiply by 8. This concept is fundamental in algebraic reasoning, where operations can be reversed by applying their inverse operations. In this case, understanding the relationship between division and multiplication allows us to determine the value of the original number and predict the outcome of Barney's multiplication.

Answer:

A. 0.3 (With a line above the 3) ([tex]0.\overline{3}[/tex])

Step-by-step explanation:

The part of money used for the bus fare = [tex]\frac{1}{3}[/tex]

Upon division the value,

[tex]\frac{1}{3} = 0.33333333....333[/tex]

As this no. is a rational number with recurring decimal. It means that the number after the decimal repeats up to infinity.

Such recurring decimal numbers are represented with a bar or line over the recurring digits.

Thus the given number is represented as [tex]0.\overline{3}[/tex].

The least common denominator of 5/6 and 7/9 is 18. This results in equivalent fractions of 15/18 for 5/6 and 14/18 for 7/9.

To find the least common denominator (LCD) of the fractions 5/6 and 7/9, we first find the least common multiple (LCM) of the two denominators, 6 and 9. The LCM of 6 and 9 is 18.

Next, we convert each fraction to an equivalent fraction with the LCD as the new denominator. We multiply the numerator and denominator of 5/6 by 3 to get 15/18. Similarly, we multiply numerator and denominator of 7/9 by 2 to obtain 14/18.

So the fractions 5/6 and 7/9, when written with their LCD, are 15/18 and 14/18, respectively.

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Answer: 40%

Step-by-step explanation:

Given : Katie is selling lemonade for $1.50 per cup she decides to put them on sale for $0.90 .

i.e. Original price=  $1.50     ;    Price after discount= $0.90

Then, the Discount amount= Original price-Price after discount

= $1.50- $0.90=$0.60

Now, the  percent discount will be :-

[tex]\dfrac{\text{\text{Discount amount}}}{\text{original price}}\times100\\\\=\dfrac{0.60}{1.50}\times100=40\%[/tex]

Hence, the required answer = 40%

Answer: 80

Step-by-step explanation:

The probability of selecting anything but an orange candy at random from the bag is 0.8, or 80%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The sum of the probabilities of all possible outcomes must be equal to 1. Therefore, we can find the missing probability for yellow candy by subtracting the sum of the probabilities of all other colors from 1:

1 - 0.13 - 0.20 - 0.16 - 0.24 - 0.13 = 0.14

So the probability of selecting a yellow candy is 0.14.

To find P(Not orange), we can add the probabilities of selecting candies of all other colors:

P(Not orange) = P(Red) + P(Yellow) + P(Green) + P(Blue) + P(Brown)

= 0.13 + 0.14 + 0.16 + 0.24 + 0.13

= 0.8

Therefore,

The probability of selecting anything but an orange candy at random from the bag is 0.8, or 80%.

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Answer: 6%

Step-by-step explanation:

If you turn 6% to a decimal (move it twice to the right) we get 0.06. If we multiply 0.06 and $750 we get $45, which is how much investment increased. Add $45 to $750 we get $795 ( which is the new value).

750×0.06= 45

45+ 750= 795

Answer:

Rational

2. Irrational

3. Irrational

4. Irrational

5. Rational

Step-by-step explanation:

The mini laptop is on sale for 40% off, the discount is 40% of the regular price then the discount could be 180 dollar.

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

WE have been given that the laptop is on sale for 40% off, the discount is 40% of the regular price.

Since they are asking for the discount and not the discounted price.

Discount

= 40% ×$450

= ⅖ ×$450

= $180

Thus, the option c is correct.

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Answer: 51

Step-by-step explanation: A prime number is a number that is greater than 1 and it has two factors which are 1 and itself.

23 is a prime number because it has no other factors besides 1 and 23. In other words, there is no other number multiplied by a number than will equal 23 so we call it a prime number.

Answer:

The odds against winning the game is 3 to 1.

Step-by-step explanation:

*Probability states that it is the likelihood of something happening in the future.

*Its value lie between 0 and 1.

*complement of an event is that event that is not occurring .

Then, the probability of  Event A will not occur is denoted by P(A').

Given:

The probability of winning a particular game at game place is [tex]\frac{1}{4}[/tex]

or we can write this as P(X) = [tex]\frac{1}{4}[/tex] where X is winning a particular game  at game place.

To find the odds against winning the game:

P(X') = P(Not winning a game) = 1-P(X) = [tex]1-\frac{1}{4} = \frac{4-1}{4} =\frac{3}{4}[/tex]

Now, we have

the probability of winning is [tex]\frac{1}{4}[/tex] = 25%

and the probability of not winning is [tex]\frac{3}{4}[/tex] = 75%

Therefore, odds against winning is (chances against success) : (chances for success) =  3 to 1 or 3 : 1