1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir [108]
3 years ago
8

When 36 is added to a certain two-digit number, the results is the number with the digits reversed. The units' digit is one more

than twice the tens' digit. Find the number​.
Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

37

Step-by-step explanation:

T = two digit number

X = first digit

Y = second digit

T = XY where XY are two numbers placed next to eachother rather than multiplied.

36 + XY = YX

The units' digit is one more than twice the tens' digit.

Y = 1 + 2X

Since Y is a 1 digit number it can't be greater than 9.

9 ≥ 1 + 2X

This means X can't be greater than 4.

9 - 1 ≥ 2X

8 ≥ 2X

8/2 ≥ X

4 ≥ X

If X = 1, Y = 3

36 + 13 = 48

If X = 2, Y = 5

36 + 25 = 58

If X = 3, Y = 7

36 + 37 = 73

If X = 4, Y = 9

36 + 49 = 88

37 is the reverse of 73

Therefore the number is 37

You might be interested in
In the Volume of Cylinders, Cones and Spheres section, what is the volume of a sphere with a radius of 6in? *
Rudiy27

Answer:

The volume of the sphere is 288π in³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius

V = ⁴⁄₃πr³

V = ⁴⁄₃ * π * (6in)³

V = π * ⁴⁄₃ * 216 in³

V = 288π in³

The volume of the sphere is 288π in³

4 0
3 years ago
2x(6x^2 + 3x - 1)<br><br> Simplify
likoan [24]
Answer: 12x^3+ 6x^2- -2x
6 0
2 years ago
For what value of x does 3^2x=9^3x-4
Andrei [34K]

Answer:

x = 2.

Step-by-step explanation:

3^2x = 9^(3x - 4)

9^3x-4 = 3^2x

(3^2)^(3x-4) = 3 ^2x

3^6x-8 = 3^2x

6x - 8 = 2x

4x = 8

x = 2 (answer).

8 0
3 years ago
Bo
Elenna [48]
If you use the scientific notation to simplify these bigger numbers it will make it easier
7 0
3 years ago
a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid
gogolik [260]

Answer:

133.33g

Step-by-step explanation:

Let the:

Mass of 1.2g/cm³ of liquid = x

Mass of 1.8g/cm³ of liquid = y

From our Question above, our system of equations is given as:

x + y = 400........ Equation 1

x = 400 - y

1.2 × x + 1.8 × y = 1.6 × 400

1.2x + 1.8y = 640..... Equation 2

We substitute, 400 - y for x in Equation 2

1.2(400 - y) + 1.8y = 640

480 - 1.2y + 1.8y = 640

- 1.2y + 1.8y = 640 - 480

0.6y = 160

y = 160/0.6y

y = 266.67 g

Solving for x

x = 400 - y

x = 400 - 266.67g

x = 133.33g

Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g

7 0
2 years ago
Other questions:
  • Answer the highlighted questions <br><br>sorry the pictures blurry
    15·1 answer
  • suppose you multiply a fraction Less than 1 by the mixed number 2 and 3/4 will the product be less greater or equal to 2and3/4
    14·1 answer
  • Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 25002500 grams and a standard deviation of
    11·1 answer
  • James drove 29 hours at a rate of 65 mph. How many miles did he drive?
    13·1 answer
  • The perimeter of a regular decagon is 355m.<br> State the length of one of its sides.
    7·2 answers
  • Find the isosceles triangle area
    9·1 answer
  • PLEASE HELPPPP!! i need this quicklyyy
    7·1 answer
  • Aiden gets paid 152.80 for 8 hours of washing cars at this rate how much will aiden make in half an hour
    15·2 answers
  • The auditorium where the spring musical will be performed has 10 seats in the 1st (front) row. Each row behind the Ist row has 4
    11·2 answers
  • Which of the following is a triangle circumscribed by a circle?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!