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ValentinkaMS [17]
3 years ago
5

The sum of the digits of a two-digit

Mathematics
1 answer:
Ann [662]3 years ago
6 0

Answer:

45

Step-by-step explanation:

Let the unit place be ‘x'

Tenth place be y

The number is 10y+x

x+y = 9 (according to the condition) (1)

Digits are interchanged Unit place' y ‘& tenth place ‘ x'

New no is 10x +y

This is 9 more than the original number

10x+ y = 10y+x +9

10x-x+y-10y = 9

9x-9y= 9

x-y = 1 (dividing by 9) (2)

Adding the two equations

2x = 10

x= 5

Substituting the value of x in first equation

y = 4

The number is 45, the original number is 54 this is 9 more of the new number.

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3 years ago
What is the distance between -2.2 , 8.4 on a number line
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Answer:

10.2

Step-by-step explanation:

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2 years ago
What is the gradient of the graph shown
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Answer:

  3

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

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5 0
2 years ago
A rectangular box has faces with areas of 12,15, and 20 square units. What is the volume of the box?
miv72 [106K]
First find the side lengths of the box by factoring each area:

12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20

Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:

12: 3 * 4
15: 3 * 5
20: 4 * 5

Sides: 3, 4, and 5

Then multiply to get the volume:

3 * 4 * 5 = 60 units^2

6 0
3 years ago
A movie theater sends out a coupon for 25​% off the price of a ticket. Write an equation for the​ situation, where y is the pric
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Answer:

Step-by-step explanation:

x-the original price

y- the discounted price

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equation is y= .75x

The equation should only be in the first quadrant because the prices can only be positive numbers.

5 0
3 years ago
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