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11111nata11111 [884]
2 years ago
10

The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le

ss than the number itself. Find the number.
Mathematics
2 answers:
snow_tiger [21]2 years ago
7 0

Answer:

The correct answer is 94

Step-by-step explanation:

I am Lyosha [343]2 years ago
3 0

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

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Scrat [10]

Answer:

\text{Area of the figure}=54\text{ unit}^2

Step-by-step explanation:

Please find the attachment.

Let us divide our given image in several parts and then we will find area of different parts.

First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.

\text{Area of rectangle}=\text{Length*Width}

\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}

\text{Area of red rectangle part}=42\text{ units}^2

Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.

\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}

\text{Area of triangle}=\frac{1}{2}\times \text{6 units *1 unit}

\text{Area of triangle}=3\text{ unit}^2

Let us find the area of green triangle.

\text{Area of green triangle}=\frac{1}{2}\times \text{3 units *2 units}

\text{Area of green triangle}=3\text{ unit}^2

Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.

\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}

\text{Area of blue triangle}=6\text{ units}^2

Let us add all these areas to find the area of our figure.

\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2

\text{Area of the figure}=(42+3+3+6)\text{ unit}^2

\text{Area of the figure}=54\text{ unit}^2

Therefore, area of our given figure is 54 square units.  

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3 years ago
Two hundred people were surveyed about their favorite outdoor leisure activity. The results of the survey are displayed in the c
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Step-by-step explanation:

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Answer:

D) 20

Step-by-step explanation:

Ml║ YK and YM║KL ⇒ YK= ML= 10

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