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
Aneli [31]
3 years ago
12

The units pf the digits of a two digits numeral is 8 if the digits are reversed the new number is 18 greater than the oringal nu

mber fund the oringal numeral
Mathematics
1 answer:
ra1l [238]3 years ago
6 0

complete question:

The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?

Answer:

The original number is 10a + b  = 10 × 3 + 5  = 35

Step-by-step explanation:

Let

the number = ab

a occupies the tens place while b occupies the unit place. Therefore,

10a + b

The sum of the digits of two-digits numeral

a + b = 8..........(i)

If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.

Therefore,

10b + a = 18 + 10a + b

10b - b + a - 10a = 18

9b - 9a = 18

divide both sides by 9

b - a = 2...............(ii)

a + b = 8..........(i)

b - a = 2...............(ii)

b = 2 + a from equation (ii)

Insert the value of b in equation (i)

a + (2 + a) = 8

2a + 2 = 8

2a = 6

a = 6/2

a = 3

Insert the value of a in equation(ii)

b - 3 = 2

b = 2 + 3

b = 5

The original number is 10a + b  = 10 × 3 + 5  = 35

You might be interested in
A business buys a computer for $3,000. After 4 years the value of the computer is expected to be $250. The value, v, can be rela
yuradex [85]

You are given two points in the linear function. At time 0 years, the value is $3000. At time 4 years, the value is $250. This means you have points (0, 3000) and (4, 250). You need to find the equation of the line that passes through those two points.

y = mx + b

m = (y2 - y1)/(x2 - x1) = (3000 - 250)/(0 - 4) = 2750/(-4) = -687.5

Use point (0, 3000).

3000 = -687.5(0) + b

b = 3000

The equation is

y = -687.5x + 3000

Since we are using points (t, v) instead of (x, y), we have:

v = -687.5t + 3000

Answer: d. v = -687.50 t + 3,000

6 0
3 years ago
Pie charts 3 questions
Y_Kistochka [10]

A. Research

B. 50%

C. 15%


Hope this helps! Comment if you want a better explanation, have questions, or concerns! :)
3 0
3 years ago
How do you write 4.293 in expanded form?
Anika [276]
4.000 plus 200 plus 90 plus 3
3 0
3 years ago
A polygon with 3 sides is stacked to form a prism. Which is the base shape of this prism? 1. square 2. trapezoid 3. triangle 4.
PilotLPTM [1.2K]
Triangular prism. It has three sides so a triangle
7 0
3 years ago
Question 3
Andru [333]

To plot the graph of the data given, we have a lot of options, one common option to plot this kind of data is a column bar graph.

The picture attached show the column bar for the data given, assuming that the age was measured in years and the height was measured in feet.

Some resources that could help to plot data are excel, origin or qtiplot.

3 0
3 years ago
Other questions:
  • Let O be the set of even integers. Define f : Z ? O by f(n) = 2n. Prove that f is a bijection in the following two different way
    14·1 answer
  • The value of 8 in 800 is how many times as large as the value of 8 in 80
    14·2 answers
  • Which function represents the number of seconds, s, in d days? (Hint: The number seconds in a day is 24 × 60 × 60 = 86,400.)
    13·1 answer
  • Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
    5·2 answers
  • How to find area? will give..
    11·1 answer
  • Can you help this plz
    6·1 answer
  • Pls help me to solve this
    8·1 answer
  • PLS HELP ASAP! Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.24 for π
    15·1 answer
  • Which statement has a base of 6.<br><br> 3^2<br> 6^2<br> 2^6<br> 2+2+2
    5·2 answers
  • There are 3 consecutive integers. The third integer subtracted from the sum of the first two integers equals 9. What is the midd
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!