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Maksim231197 [3]
4 years ago
12

t When you reverse the digitals in a certain number you increase its value by 27. Find the number if the sum fixes digits is 9.

Mathematics
1 answer:
TiliK225 [7]4 years ago
3 0
The number=10x+y
we suggest this system of equations:
(10y+x)-(10x+y)=27
x+y=9                                ⇒x=9-y

Can solve this system of equations by susbstitution method.
(10y+(9-y)-(10(9-y)+y)=27
10y+9-y-(90-10y+y)=27
10y-y+10y-y=27-9+90
18y=108
y=108/18
y=6

x=9-y
x=9-6
x=3

The number=10x+y=10(3)+6=36

Answer: the number is 36.

to check:
63-36=27
6+3=9
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Write the slope intercept form of the equation through the given point with the given slope.
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Answer:

y = 3x - 4

Step-by-step explanation:

With the slope and a point, I can make an incomplete slope-intercept equation and solve for the y-intercept.

y=3x+b\\\\2=3(2)+b\\\\2=6+b\\\\2-6=6-6+b\\\\-4=b

The equation is:

y=3x-4

Hope this helps!

6 0
3 years ago
From the observation deck of a skyscraper, Madison measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If
mrs_skeptik [129]

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

5 0
2 years ago
Los lados de un triángulo son x, (x + 1) y (2x − 1) y su área es x√10 ¿Cuál es el valor de x?​
ANEK [815]
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6 0
2 years ago
30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.
anygoal [31]

Answer:

A = 76.85

B =65.28

Step-by-step explanation:

(30/100)A = 10 + (20/100)B

0.3A - 0.2B = 10 ...... equation (i)

(30/100)B + 35 = (20/100)A

0.2A - 0.3B = 35 ........ equation (ii)

From equation (i)

0.3A = 10 - 0.2B

A = (10 - 0.2b) / 0.3

A = 33.33 - 0.67B ........equation (iii)

Put equation (iii) into equation (ii)

0.2(33.33 - 0.67B) - 0.3B = 35

6.67 - 0.134B - 0.3B = 35

0.434B = 35 - 6.67

B = 28.33 / 0.434

B = 65. 275 = 65.28

Put B = 65.28 into equation (i)

0.3A - 0.2B = 10

0.3A - 0.2(65.28) = 10

0.3A - 13.056 = 10

0.3A = 10 + 13.056

A = 23.056/ 0.3

A = 76.85

5 0
3 years ago
2 points
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Answer:

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