The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.

Answers

Answer 1

Answer: I did another one just like this about an hour ago. I did it the elegant, tedious way,
and it took about 2 feet of screen. Then I realized there was a totally bourgeois but
easy way to do it. For 5 points, I'll give you the method for the masses:

List all the possible pairs of digits that add up to 9, along with their flips:

18 . . . . . 81
27 . . . . . 72
36 . . . . . 63
45 . . . . . 54

Do you see any pair that are different by 27 ?
How about 36 and 63 ?

So the original number is 63, and when you flip it, it becomes 36, which is 27 less.

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Can someone please help me :(
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enrollment in a photography class increased from 25 to 35 students. What was the percent of increase in enrollment?
What is the solution to the linear equation? 6k+10.5=3k+12

1.
What is the value of p – (–3.5) when p = 8.2?

Answers

well set it up first. You get: 8.2-(-3.5) so what you do is that you first subtract 8.2-3.5=4.7. Then you want to find out weather it is negative or positive. First point out which one is bigger in this case 8.2 is bigger and a positive so your answer would be positive. Answer: +8.2 or 8.2

What is the value of this expression?

(9^2+79)/2^2

(its a fraction)

Answers

Hey there!

$Answer: \boxed{40}$

$Explanation:$

Simplify to solve.

$\boxed{40}\text{ is your answer.}$

Hope this helps!

$\text{-TestedHyperr}$

Answer:

Step-by-step explanation:

(9^2 +79) /2^2

(81 +79) /4

160/4

Y = 10 + 16x − x^2y = 3x + 50
If (x1, y1) and (x2, y2) are distinct solutions to the system of equations shown above, what is the sum of the y1 and y2?

Answers

Solving the system we can see that the sum of the y-values of the two solutions is 139.

How to get the sum of y₁ and y₂?

Let's solve the system of equations.

y = 10 + 16x − x²

y = 3x + 50

We can write this as a single quadratic equation:

10 + 16x - x² = 3x + 50

10 + 16x - x² - 3x - 50 = 0

-x² + 13x - 40 = 0

Using the quadratic formula we will get the two solutions for x:

$x = (-13 \pm √(13^2 - 4*-1*-40) )/(-2) \n\nx = (-13 \pm 3 )/(-2)$

So the two solutions are:

x = (-13 + 3)/-2 = 5

x = (-13 - 3)/-2 = 8

Evaluating the linear equation in these two values we will get y1 and y2.

if x = 5

y₁ = 3*5 + 50 = 65

if x= 8

y₂ = 3*8 + 50 = 74

The sum is:

65 + 74 =139

Learn more about systems of equations at:

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Final answer:

The distinct solutions to the system of equations are (5, 65) and (8, 74), and the sum of the y-values is 139.

Explanation:

To find the sum of y-values of the distinct solutions to this system of equations, first, you need to set the two equations equal to each other to find the x-values of the solutions:

10 + 16x − x^2 = 3x + 50.

Then, solve the resulting equation for x:

x^2 - 13x + 40 = 0.

This is a quadratic equation, and it can be solved either by factoring or using the quadratic formula. The solutions for x result in:

x = 5 and x = 8.

These are the two distinct x-values for the intersections of the graphs of the two equations. To find the corresponding y-values, plug these x-values into either of the original equations. We'll use the simpler equation, y = 3x + 50:

For x = 5, y = 65 and for x = 8, y = 74.

Therefore, the distinct solutions to the system of equations are (5, 65) and (8, 74). Finally, the sum of y1 and y2 is 65 + 74 = 139.

Learn more about System of Equations here:

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#SPJ1

Which expression is equivalent to 3.6×107(2.5×106)(1.6×103)3

.

6

×

10

7

(

2

.

5

×

10

6

)

(

1

.

6

×

10

3

)

?

Answers

Answer:

Step-by-step explanation:

10 -? =3

10-3 =7

There are 250 students in a senior. of the 250 students, 102 are boys. there are 20 senior girls and 18 senior boys on the track team. What is the probablity a randomly chosen student from the senior class is a girl who does not run track?

Answers

If 102 are boys then 250 - 102 = 148 are girls.
If 20 girls run track, then 148 - 20 = 128 girls do not run track
probability a randomly chosen student from the senior class is a girl who does not run track = (probability the student chosen is a girl) * (probability the student does not run track)
= (148/250) * (128/250) = 128/250 = 62/125

50 POINTS!! PLEASE HELP ME OUT AND I WILL GIVE BRAINLIEST TO BEST ANSWER THAT SHOWS STEPS! THANK YOU!!!!Enter your answer and show all the steps that you use to solve this problem.
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

Answers

Answer:

it is not a direct variation

Step-by-step explanation:

To have a direct variation

y/x = k for all values of x and y

y/x = 11/7

y/x = 13/8

y/x = 15/9 = 5/3

y/x = 17/10

11/7 does not equal 13/8 so it is not a direct variation

Answer:

Not direct variation.

Step-by-step explanation:

To have direct variation, each division of a y value by its corresponding x value must give the same answer.

Look at x = 7, y = 11

Do y/x = 11/7 = 1.5714...

Now look at x = 8, y = 13

Do y/x = 13/8 = 1.625

Since the two divisions do not give equal results, this is not direct variation.

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