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hjlf
3 years ago
8

The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 45 less than the original numbe

r.
Find the number.
Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

83.

Step-by-step explanation:

Let the digits be x and y so the number is xy.

x + y = 11

The new number is 45 less than the original number so

10y + x = 10x + y - 45

-9x + 9y = -45

-x + y = -5

x + y = 11          Adding:

2y = 6

y = 3

and x = 11/3 = 8.

So the number is 83.

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x = 360° - 300°

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3 years ago
Explain what |-13| means and how to simplify.
poizon [28]

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3 years ago
Read 2 more answers
I need 3 questions answered please.​
kakasveta [241]

Answer:

3) \:  \: 113 {ft}^{2}

4) \: false

5) \: 70 {ft}^{2}

Step-by-step explanation:

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\pi \times  {r}^{2}

Where r = 6

Thus,

area =   \frac{22}{7}  \times  {6}^{2}

area =  \frac{22}{7}  \times 36

area = 3.143 \times 36

area = 113 {ft}^{2} \: (nearest \: whole \: number)

4) False

Area of a circle is measured by the formula below:

area = \pi \times  {r}^{2}

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8 0
3 years ago
Enter the range of values for x:<br> B<br> 15<br> 2x - 10<br> С<br> 48°<br> A<br> 18<br> [?] Enter
SOVA2 [1]
<h3>Answer:   5 < x < 29</h3>

=========================================

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

8 0
3 years ago
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