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Elina [12.6K]
2 years ago
14

14. The sum of the digits of a certain two-digit number is 4. When you reverse its digits you decrease the number by 18. What is

the number?
Mathematics
1 answer:
kipiarov [429]2 years ago
5 0

Step-by-step explanation:

If the tens digit of the number is X and the ones digit is Y then the number is equal to 10*X + Y

If you reverse the digits then the number is equal to 10*Y + X

If reversing the digits decreases the number by 36 then

10*Y + X = 10*X + Y - 36

The sum of the digits is 4 so X + Y = 4 ==> X = 4 - Y

Substitute this value of X into the 1st equation

10*Y + (4 - Y) = 10*(4 - Y) + Y - 36

9*Y + 4 = 40 - 9*Y - 36

18*Y = 0

Y = 0

I hope it helps you

So X = 4 - 0 = 4 and the number is 40

so, let's check 40 - 04 = 36

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Dilate the given points distance from the origin (x,y) (0.8x, 0.8y) . The point (-10,-20) becomes & point (15,25) become
dalvyx [7]

Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

Step-by-step explanation:

When a point (x,y) is dilated by a scale factor k from the origin, then the new points become

(kx,ky).

The given rule of dilation : (x,y) →(0.8x, 0.8y)

The first point is (-10,-20), so its image will be

(-10,-20)\to (0.8\times-10,0.8\times-20)=(-8,-16)

So, the point (-10,-20)  becomes (-8,-16).

The second point is (15,25), so its image will be

(15,25)\to (0.8\times15,0.8\times25)=(12,20)

So, the point (15,25) becomes (12,20).

Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

8 0
2 years ago
Help quick please!!
Korolek [52]

Answer:

Difference of squares:

y^4−25

16x^2−81

Not difference of squares:

20m^2n^2−121

p^8−q^5

Step-by-step explanation:

y^4−25

(y²)² - 5²

16x^2−81

(4x)² - 9²

20m^2n^2−121

20 is not a perfect square

p^8−q^5

q⁵ is not a perfect square

3 0
2 years ago
Stephanie and alejandro
Elena-2011 [213]

Answer:

Stephanie saved

Step-by-step explanation:

x+4x=15600

5x=15600

divide by 5 on both sides

you get 3120

since stephanie got 4 times more, you multiply 3120*4 and get 12480

therefore, Alejandro saved 3120

: )

4 0
2 years ago
3/5 ÷ 1 1/4 =<br> (20 points)
Anna11 [10]

3/5 ÷ 1 1/4 = 0.48

0.48 will be your anwer


7 0
2 years ago
There are 3,280.84 feet in a kilometer. There are 5,280 feet in a mile. To the nearest hundredth, how many kilometers are in a m
just olya [345]

Answer:

1.609344 kilometers

Step-by-step explanation:

8 0
2 years ago
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