What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x = __

A two-digit number becomes 5/6 of the reversed number obtained when the digits are interchanged. The difference between the digi

stealth61 [152]

<h3>Answer: 54</h3>

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Work Shown:

T = tens digit

U = units digit (aka ones digit)

A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).

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Let T be larger than U. This doesn't work if T = U.

Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.

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If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.

So,

new number = (5/6)*(old number)

10U + T = (5/6)(10T + U)

6(10U + T) = 5(10T + U)

60U + 6T = 50T + 5U

60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1

60U + 6U + 6 = 50U + 50 + 5U

66U + 6 = 55U + 50

66U - 55U = 50-6

11U = 44

U = 44/11

U = 4 is the units digit of the original number

T = U+1

T = 4+1

T = 5 is the tens digit of the original number

The original number is therefore 10T + U = 10*5+4 = 54.

We see the difference in their digits is T-U = 5-4 = 1

The reverse of 54 is 45. The number 45 is 5/6 of 54

45 = (5/6)*54

7 0

3 years ago

I need help with question 18 PLS!!!!

dolphi86 [110]

Answer:

162

Step-by-step explanation:

( -a ) ( b ) ( -a + b )

-6 ( 3 ) ( -6 + -3 )

-6 ( 3 ) ( -9 )

- 18 ( -9 )

162

6 0

2 years ago

Round to the nearest tenth if necessary. 60% of 68 is what number?..

galina1969 [7]

Answer:

40.8

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two

maxonik [38]

The first mistake of Ana is sum of interior is 180° that is given by the definition. Then the correct option is A.

The statements, reasons, and options are attached below.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two interior angles not adjacent to it.

∠1 + ∠2 + ∠3 = 180° (By definition of triangle)

∠3 + ∠4 = 180° (By definition of linear angle)

∠1 + ∠2 + ∠3 = ∠3 + ∠4 (Substitution)

∠1 + ∠2 = ∠4 (Subtraction on both side by ∠3)

The first mistake of Ana is sum of interior is 180° that is given by the definition.

Then the correct option is A.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

6 0

1 year ago

You are offered a 30--day trial period at your dream job. However, the owner of the company is a little unusual so the pay optio

S_A_V [24]

Answer:

The question is not complete but from the flow of thought, the question seems to be about what your choice will be between option 1 and option 2.

The correct answer is

option 2

Step-by-step explanation:

The question is asking you to choose an option that pays more after 30 days. In other to determine the more beneficial option, we will compare both options and select the one that pays more. This is done as follows:

option 1: $60,000 per day, after 30 days =

60,000 × 30 = $1,800,000

option 2 = $5,368,709.12 after 30 days

From the total amounts after 30 days of the two options listed above, option 2 is higher than option 1 by $3,568,709. Therefore, option 2 is a better choice.

4 0

3 years ago

What is the value of x? Enter your answer in the box. x = ___