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nikitadnepr [17]
3 years ago
9

What is the answer?​

Mathematics
1 answer:
ella [17]3 years ago
4 0
<h2><em>I believe 10.91ft but I'm not sure.</em></h2>
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The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

  2o = 16

  o = 8

  t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0
2 years ago
What is the answer and how did you get the answer explain
Hunter-Best [27]

Answer:

2c^2+5c+4

hope it's helpful ❤❤❤❤

THANK YOU.

7 0
2 years ago
Please answer,it has to be done in the next 20 minutes its my homework and i forgot to do it.
Bingel [31]

Answer:

g = -2/3

Step-by-step explanation:

-g + 6 +2g = -4g - (-4)

g + 6 = -4g + 4

3g =-2

g = -2/3

3 0
3 years ago
In the diagram of O, m∠JOK = 60° and OJ = 6 in. What is the exact area of the shaded region?
Sophie [7]

Answer:   6π

<u>Step-by-step explanation:</u>

Area of a circle is π r².

Area of a section of a circle is π r² × the section of the circle.

A=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)

Given: r = 6, Ф = 60°

A=\pi (6)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =\pi (6)^2\bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =6\pi

3 0
3 years ago
What are the operations used to <br> solve this equation5/6x-2=-2/3x+1
SashulF [63]
Addition
multiplication
4 0
3 years ago
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