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
Ratling [72]
3 years ago
6

A number consist of 2 digits whose sum is 8, If 8 is subtracted from the number, the digits interchange their place. The number

is​
Mathematics
2 answers:
Novay_Z [31]3 years ago
8 0

Step-by-step explanation:

Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.

The sum of the digits is 8:

x + y = 8

If 8 is subtracted from the number, the digits switch place.

10x + y − 8 = 10y + x

Simplify the second equation:

9x − 8 = 9y

Substitute from the first equation.

y = 8 − x

9x − 8 = 9 (8 − x)

9x − 8 = 72 − 9x

18x = 80

x = 4.444

There's a problem.  x isn't an integer.  Are you sure you copied the problem correctly?  Perhaps you meant if 18 is subtracted from the number, the digits switch place.

9x − 18 = 9 (8 − x)

9x − 18 = 72 − 9x

18x = 90

x = 5

y = 8 − x

y = 3

So the number is 53.

ratelena [41]3 years ago
4 0

x+y=8\\10x+y-8=10y+x\\\\x+y=8|\cdot9\\9x-9y=8\\\\9x+9y=72\\\underline{9x-9y=8}\\18x=80\\x=\dfrac{80}{18}=\dfrac{40}{9}

x is not integer, so there must be a mistake in the problem.

You might be interested in
7. Write a rule for the linear function in the table.
Firdavs [7]

Answer:

i don´t understand

Step-by-step explanation:

i don´t understand

8 0
3 years ago
Explain your answers please
nirvana33 [79]
First is 7 second is 8 third is 3
6 0
3 years ago
Out of a total of 68 students, 25% had perfect attendance for the nine weeks. How many students is this?
rodikova [14]
68 students* (25/100)= 17 students.

There are 17 students who had perfect attendance for the nine weeks~
4 0
3 years ago
Evaluate the expression below when x = 4, y = 5<br><br> 3(y-x) + 4y
likoan [24]

Answer:

23

Step-by-step explanation:

Brackets go first, 5 (y) - 4 (x) = 1. Now, 3 x 1 = 3, you do this because of the 3 next to the brackets. Now add them together.

4 0
3 years ago
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest
Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length =\dfrac{\theta}{360^\circ}X2\pi r

=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)

(b)Area of the sector

Area of the sector =\dfrac{\theta}{360^\circ}X\pi r^2

=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do you solve 2v= -5/6
    5·2 answers
  • Segment JK has a length of 4.5 units. If segment LM has end points of L (3,1) and M (-1,4), how much longer than segment JK is s
    10·2 answers
  • Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet
    5·1 answer
  • 1. If 31 – 7 = 51, then 61 =<br> A. 21<br> B. -7<br> C. -21<br> D. 42
    13·1 answer
  • Please help me i need the answer right now. The lesson is Rational Root Theorem.
    12·1 answer
  • The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2
    9·1 answer
  • Solve the following system of equations using the elimination method. 8x – 5y = 5 –8x – 6y = 6
    8·1 answer
  • Find the missing divisor:<br> 9.21 divide ____= -1.535
    10·1 answer
  • ¿Qué es 1/3 x5 / 6? ¿Qué es 2/5 x 3/7?​
    12·1 answer
  • A) a quadrilateral with 2 pairs of parallel sides
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!