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3 years ago

Justify 3.020020002 is a rational number with step by step answer

Mathematics

1 answer:

Zanzabum3 years ago

7 0

Answer:

This number is rational because there is a repeating pattern. Following the decimal, there is one 0 then a 2. This process repeats by adding a 0 each time the number 2 is passed.

Step-by-step explanation:

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You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a par

Tanya [424]

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual , 56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

= 296 + ( (296 / 67 ) * 33 )

= 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

≈ 1163

Total rooms booked = X + Y

= 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

= 1605 - 1465

= 140 ( Your Hotel is over booked )

4 0

3 years ago

Rewrte the expression with a ratational exponent as a radical expression (4^2/5)^1/4

laiz [17]

Answer:

Step-by-step explanation:

(4^2/5)^1/4

first multiply the exponent

2/5*1/4=2/20=1/10

4^1/10= 10√4(the ten is on the top to the square root)

7 0

3 years ago

What is the following quotient? sqrt96/sqrt8

SIZIF [17.4K]

Sqrt of 96 is 9.8 and the sqrt of 8 is 2.8

9.8 divided by 2.8 is 3.5

If you don't want to solve it using decimals then:

Sqrt of 96 is 9 and the sqrt of 8 is 2

9 divided by 2 is 4.5

If you want to estimate it then:

Sqrt of 96 is 10 and the sqrt of 8 is 3

10 divided by 3 is 3.3

It all depends on whether the question wants it exact to the decimal, to the 1st number place or estimated but I think the first option of 3.5 is your best bet.

Hope that helped :-)

5 0

3 years ago

Read 2 more answers

A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did La

Hunter-Best [27]

Answer:

Latisha rode 16 rides

Step-by-step explanation:

Look at picture attached. Have a blessed night!

Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.

4 0

2 years ago

QUESTION 1

SVEN [57.7K]

Answer:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

Step-by-step explanation:

Question 1)

The given inequality is:

$\frac{5}{12}-\frac{x-3}{6} \leq \frac{x-2}{3}$

Step 1: Making the denominators common for all fractions

$\frac{5}{12}-\frac{2}{2} \times \frac{x-3}{6} \leq \frac{4}{4} \times \frac{x-2}{3}$

This step is done correctly in the given solution.

Step 2: Simplifying

$\frac{5}{12}-\frac{2x-6}{12}\leq \frac{4x-8}{12}$

This step is done correctly in the given solution

Step 3: Multiplying both sides by 12, and simplifying.

$5-(2x-6)\leq 4x-8\\\\ 5-2x+6\leq 4x-8$

First error is made in this step. While opening the brackets, the negative sign should be distributed inside the bracket, which will change the signs.

Step 4: Simplification:

$11-2x\leq 4x-8$

Step 5: Moving Common terms to one side and simplifying

$-2x-4x\leq -8-11\\\\ -6x\leq -19$

Error was made in this step. When a number is moved to other side, its sign will be changed.

Step 6: Dividing both sides by -6

$x\geq \frac{19}{6}$

Conclusion:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

Question 2:

In the Equation 2: 12=-4(-6x-3), when -4 will be multiplied inside the brackets, the 12 on eft hand side will cancel the 12 that will appear on right hand side, giving a result that will lead to x = 0.

Same is the case with Equation 6: x+5=-5x+5, 5 on both sides will cancel out leaving x = 0.

So, 2nd and 6th equations will have the same solution.

In Equation 1, on expanding the bracket and moving 7 to other side, we get a relation: 4x = 16

In Equation 3, on simplifying the right hand side, and carrying common terms to one side, we get the relation: - 9x = -36

In Equation 5, on expanding the bracket and simplifying the relation is reduced to 4 = x

It can be observed that all these 3 equations have the same solution i.e. x = 4

So, the following set of Equations have the same solution:

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

6 0

3 years ago

Read 2 more answers

Justify 3.020020002 is a rational number with step by step answer​

Justify 3.020020002 is a rational number with step by step answer