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Hitman42 [59]
3 years ago
12

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original numbe

r. What is the original number?
Mathematics
2 answers:
kumpel [21]3 years ago
8 0

Answer:

53

Step-by-step explanation:

 Let x = the first digit

and y = the second digit. Then,

    xy = the number

We have two conditions:

(1) x + y = 8

(2) 10y + x = 10x + y - 18

Simplify (2)                     10y + x - 10x - y = -18

                                              (3) 9y - 9x  = -18

Multiply Equation (1) by 9     (4) 9x + 9y =  72

Add Equations (3) and (4)                18y =  54

Divide each side by 18         (5)           y =    3

Substitute (5) into (1)                       x + 3 =   8

Subtract 3 from each side                   x =   5

x = 5 and y = 3

The number is 53.

Check:

(1) 5 + 3 = 8     (2) 10×3 + 5 = 10×5 + 3 - 18

         8 = 8             30  + 5 =   50  + 3 - 18

                                      35 =       53    - 18

                                      35 =            35

xxMikexx [17]3 years ago
5 0

Answer:

53 add the 2 and you get 8

Step-by-step explanation:flip them 35 + 18 =53

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Raul drove 80 miles. This represents 50% of his entire trip. What is the total number of miles in Raul's trip?
Dafna11 [192]
If 80 miles is 50% of his trip, then you know that 80 miles is only HALF of his entire trip. To get the distance Raul traveled in total, simply double the 80 miles. This would be 160 miles. 
Raul traveled a total of 160 miles in his trip.
7 0
3 years ago
Which ordered pairs make the open sentence true? 3x+y<14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0
Jet001 [13]

Answer:

(4, - 1)

(-1, 6)

Step-by-step explanation:

Given the expression :

3x+y<14

Test the opprions to find out the true statement.

(7, - 7)

3(7) + (-7) < 14

21 - 7 < 14

15 < 14 (not true)

(-1, 6)

3(-1) + 6 < 14

3 + 6 < 14

9 < 14 ( true)

(3, 6)

3(3) + 6 < 14

9 + 6 < 14 ( not true)

(4, - 1)

3(4) - 1 < 14

12 - 1 < 14 ( true)

(6,0)

3(6) + 0 < 14

18 < 14 ( not true)

4 0
3 years ago
Help in your answer!​
mart [117]

Answer:

Two different transformations happen. Rotation/Reflection and translation (I say rotation/reflection because they can both put the parabola where it is after being transformed)

(Rotation- 180 degrees)

(Reflection across its it's starting point)

Translation- pushed up 4 points from negative 4 to 0 on the y-axis

When you put the parent function into a graph it is positive so the u is opening upward and starts at -4. Both sides of the u go through the points (0,0)and (4,0).

But in the transformed function is negative so the u opens downward. The sides going through the points (0,-4) and (4,-4)

I hope this makes sense

4 0
3 years ago
Can someone please help me and show the steps? Thank you
Maksim231197 [3]
0.348 is the answer
3 0
3 years ago
Santosh spent $200, before tax, on a DVD player and DVDs. The player cost $120, new DVDs cost $15 and used DVDs cost $5. Santosh
gizmo_the_mogwai [7]

Answer:

Santosh purchased 4 new and 4 used DVDs.

Step-by-step explanation:

From the information given, as you know that Santosh spent $200 and that the DVD player cost $120, you can say that the new and used DVDs cost $80, which can be expressed as:

15x+5y=80, where:

x refers to the number of new DVDs

y refers to the number of used DVDs

Now, as the statement indicates that Santosh purchased the same number of new and used DVDs, this means that x is equal to y and you can replace y with x and solve for x:

15x+5x=80

20x=80

x=80/20

x=4

According to this, the answer is that Santosh purchased 4 new and 4 used DVDs.

3 0
3 years ago
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