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antoniya [11.8K]
3 years ago
12

Take any three digit number. Reverse its digits and subtract the smaller of the two numbers from the larger. Determine what numb

er always divides such differences for the following types of numbers.
Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer: 11 is the required number that always divides such differences for the following types of numbers.

Step-by-step explanation:

Take any 3 - digit number, say, 325

On reversing its digit it becomes, 523

On subtracting the smaller of the two numbers from the larger,523-325\\\\=198

we can see that 198 is an even number.

take another number say, 629

On reversing its digit, it becomes = 926

On subtracting , we get that

926-629=297

But 297 is not an even number.

But there is one common in both the cases is that both the differences are divisible by 11.

Hence, 11 is the required number that always divides such differences for the following types of numbers.

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Click on the picture thanks so much
-BARSIC- [3]

Answer:

$3.06

Step-by-step explanation:

First we need to calculate the mark up

The mark-up rate is 150% = 1.5 as a decimal

New price = original price + original price * markup rate

                 = 61.20 + 61.20* 1.50

                 = 61.20 + 91.80

                = 153

The new price is 153.00

Commission is the price times his commission rate

commission = price* .02

                    = 153*.02

                     = 3.06

Neil will make 3.06 on the sale of the table

7 0
3 years ago
Please help with this math question
Ymorist [56]
Area of the rectangle minus area of 2 circles

Area of rectangle is 8x16
Area of circle is pi•r^2 = 3.14 x 4^2= 3.14•16

Answer is:
128 - 2(3.14•16) square inches
3 0
3 years ago
Nth term to 4 1 -2 -5 -8
AURORKA [14]

4

4 - 3 = 1

1 - 3 = -2

-2 - 3 = -5

-5 - 3 = -8

It's the arithmetic sequence.

a_n=a_1+(n-1)d

a_1=4,\ d=-3

substitute

a_n=4+(n-1)(-3)=4-3n+3=-3n+7

Answer: a_n=-3n+7


7 0
3 years ago
Which expression is equivalent to 7/2h - 3 (5h - 1/2)
poizon [28]

7/2h-3/2step-by-step

explicacion: 7/2h-3=37/2h5h

1/2= 3/2Expression made:37/2h 3/2

5 0
2 years ago
Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls n
Brrunno [24]

Answer:

Cheryl's age = x = 7 years

Rita's age = y = 17 years

Step-by-step explanation:

Let

Cheryl's age = x

Rita's age = y

Two years ago, Rita was three times older than Cheryl

(y - 2) = 3(x - 2)

y - 2 = 3x - 6

y = 3x - 6 + 2

= 3x - 4

y = 3x - 4

In 3 years, Rita will be twice older than Cheryl

(y + 3) = 2(x + 3)

y + 3 = 2x + 6

y = 2x + 6 - 3

= 2x + 3

y = 2x + 3

Equate both equations

3x - 4 = 2x + 3

Collect like terms

3x - 2x = 3 + 4

x = 7 years

Substitute x = 7 into

y = 2x + 3

= 2(7) + 3

= 14 + 3

= 17

y = 17 years

Cheryl's age = x = 7 years

Rita's age = y = 17 years

5 0
3 years ago
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