A number consists of two digits whose sum is 9. If 9 is added to the number its digits are inter changed. Find the number.
Answers
Solution:
Let the two digits of a number be X and Y
Let the digit at 10's place = X
Let the digit at 1's place = Y
The two digit number = 10X+Y
Given that
The sum of the digits = 9
⇛ X+Y = 9
⇛X = 9-Y →→→→eqn(i)
If 9 is added to the number the digits interchanged
⇛10X+Y +9 = 10Y+X
⇛10X+Y+9-10Y-X = 0
⇛9X-9Y +9 = 0
⇛9(X-Y+1) = 0
⇛X-Y+1 = 0
⇛9-Y-Y+1 = 0
⇛10-2Y = 0
⇛2Y = 10
⇛Y = 10/2
⇛Y = 5
Now
X = 9-5 = 4
Therefore the number = 45 Ans.
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Answer:
see that attachment
I hope it's help you
Related Questions
If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 10 + (-60) represent?
Answers
Answer:
A $10 deposit followed by a $60 withdrawal
Step-by-step explanation:
The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.
In the past year Jina watched 36 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
It is 21.6
hope this helps
W
Enter the value of x-21.
(x - 21)
71
Answers
(x - 21)(71)
=(x + - 21)(71)
=(x)(71) + (-21)(71)
=71x -1491
A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?
Answers
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × b × h
b = length of the baseh = heightWe can sub in the values we know:
16in² = 1/2 × b × 4in
To find b, we divide both sides by 1/2 and 4in:
16in² ÷ (1/2 × 4in) = b
16in² ÷ 2in = b
b = 8in
Hope this helps!
What is an included angle and an included side?
A: Included Angle: A 90 deg angle
Included Side: The longest
side
B: Included Angle: An angle between two angles
Included Side: A side between two sides
C: Included Angle: An angle between two sides.
Included Side: A side between two angles
Answers
Answer:
C
Step-by-step explanation:
Y=2x,x+y=9 solve by substitution show work
Answers
Answer:
(3,6)
Step-by-step explanation:
y = 2x
x+y = 9
; x+(2x) = 9
3x = 9
x = 3
y = 2x
y = 2(3)
y = 6
Hello there here is the problem you gave us
[tex]y=2x,x+y=9[/tex]
You want to us to solve this by substitution,
_______________________
[tex]y=2x[/tex] [tex]x= \frac{1}{2}y[/tex]_______________________
we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation
[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]
_______________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=3[/tex] [tex]y=6[/tex] Have a good day :) !A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?
Answers
Using complex numbers and radicals, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
Hence, since 8i is a root of the function, -8i is also a root.The same is valid for radicals, as they are in the [tex]\pm[/tex] format.
Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.Hence, option C is correct.
For more on complex numbers and radicals, you can check https://brainly.com/question/25173944
what is s and what is t?
Answers
Answer:
Step-by-step explanation:
S = 2
T = -2
so in S - T = 4. 2 - -2 = 4
IN S + T = 2 S + - 2 = 2
HELP HELP HELP HELP HELP What is the range of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Answers
======================================================
Explanation:
The smallest data value is 13. This is due to the stem 1 and leaf 3.
The largest is 47. This is from the stem 4 and leaf 7.
The span between these items is 47-13 = 34
please help I give you 30 points
Answers
Answer:
The last one, 14 3/4
Step-by-step explanation:
I hope this helped :)
I need help on this, thank you in advance
Answers
Answer:
65
50
Step-by-step explanation:
yeah-ya........ right?
The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8
Answers
Answer:
12
Step-by-step explanation:
x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12
Answer:
12
Step-by-step explanation:
if x=1 , y =3
if x=4 then y=3×4=12
y=12
If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?
Answers
After 23 years
hope this is helpful!
Need help ASAP! Question in picture;)
Solve for x.
Answers
Step-by-step explanation:
[tex]30 + 4x + 2 = 80[/tex]
[tex]4x + 32 = 80[/tex]
[tex]4x = 48[/tex]
[tex]x = 12[/tex]
Therefore, the answer is x = 12.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The domain of function f is (-00, 6) U (6,00). The value of the function approaches -o as x approaches -00, and approaches oo. Which function could be function ?
Answers
Answer:
a
Step-by-step explanation:
The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The value of the function approaches -∞ as x approaches -∞ is,
[tex]F(x) = \dfrac{x+6}{x-6}[/tex]
The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.
Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
To know more about functions follow
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10x + 4y = 16 in slope intercept form
Show your work please
Answers
[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]
Answer:
y = - 2.5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
10x + 4y = 16 ( subtract 10x from both sides )
4y = - 10x + 16 ( divide through by 4 )
y = [tex]\frac{-10}{4}[/tex] x + 4 , that is
y = - 2.5x + 4 ← in slope- intercept form
pls help me pls help me pls help me
Answers
Answer:
d. 210
Step-by-step explanation:
well for the first textbook you have 7 options
for the 2nd placeholder you have 6 options
and the 3rd you have 5
so its 7x6x5 which is 210 different combinations
thx for 50 points :D
write the equation of a line that passes through the points (-7,-4) and (-5,-6)
Answers
Answer:
y=-x-11
Step-by-step explanation:
if you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find My number.
Answers
Answer:
Step-by-step explanation:
The number is 12.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than two-thirds of my number.
-> 3(n + 12) = 64 more than
-> 3(n + 12) = 64 + 2n/3
[Given]
3(n + 12) = 64 + 2n/3
[Distribute]
3n + 36 = 64 + 2n/3
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
hence, The number is 12.
To learn more on number click:
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An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?
Answers
Number of ice cream produced before = 45
Number of ice cream produced after = 54
Find:Percent of speed the machine increase
Computation:Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
Learn more:https://brainly.com/question/15013012?referrer=searchResults
Percent of speed the machine increase is 20%
HELP PLZZ! DUE IN 15 MIN!! plz explain your answer to
Answers
Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.
Hoped this helped
[tex]BrainiacUser1357[/tex]
HELP ME PLEASE 20 POINTS
In a certain chemical the ratio of zinc to copper is 4 to 17 a jar of the chemical contains 595 grams of copper. How many grams of zinc does it contain
Answers
Answer:93 grams Zinc
Step-by-step explanation:3 Zinc : 13 Copper
x 31 x 31
93 Zinc, 403 Copper
or
set up a proportion, cross multiply, and solve for the variable:
3(403) = 13(x)
3(31) = x
93 = x
A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)
What is the area of the sector ?
Answers
Answer:
8πcm² = 8pi cm²
Step-by-step explanation
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
Mai biked 6 3/4 miles today, and Noah bikes 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answers
Answer:
Mai's ride is 1.5 times longer than Noah's
Step-by-step explanation:
Solve for X. Please help ASAP.
Answers
Answer:
x = 36.87
Step-by-step explanation:
Find the length of the missing side.
x^2 + 12^2 = 15^2
x^2 + 144 = 225
x^2 = 81
x = 9
Now use the law of sines:
sin(90)/15 = sin(x)/9
Multiply each side by 9
9 * sin(90)/15 = sin(x)
0.6 = sinx
sin^-1 = 36.86989 rounded to 36.87
Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers
Answers
Answer: All real numbers.
Step-by-step explanation:
4(a+3) = 12 + 4a
4a + 12 = 12 + 4a
Any value of a will work in this equation, since it is a simple identity. 4a + 12 will always equal 4a + 12, regardless of a.
All real numbers, although I don't know why imaginary numbers wouldn't also work.
All reall numbers
find the domain of y= 2/3 square root of x+5-4
Answers
√
x
−
5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x
−
5
≥
0
x
-
5
≥
0
Add
5
5
to both sides of the inequality.
x
≥
5
x
≥
5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,
∞
)
[
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
5
}
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
{
y
|
y
≥
0
}
Determine the domain and range.
write a polynomial function in standard form with the given zeros x=1,-1,-2
Answers
Answer:
y = x³ +2x² -x -2
Step-by-step explanation:
A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...
y = (x -1)(x +1)(x +2)
y = (x² -1)(x +2) . . . . . . partial simplification
y = x³ +2x² -x -2
a
The eighth-grade class has a total of 162 students. The students need to be
divided evenly into homerooms. There needs to be at least 20 students in
each homeroom. List all the possible combinations. Which combination
makes the most sense? Explain.
Answers
Answer:
162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.
Step-by-step explanation:
Refer to the answer.
Answer:
56
Step-by-step explanation:
find the perimeter of a rectangle whose length is 4cm greater than its height, and whose area is 60 cm^2.
Answers
Answer:
32
Step-by-step explanation:
x=6
and it's x+x+(x+4)+(x+4)
Answer:
80cm
Step-by-step explanation:
Lets have height be x
Then the length would be x+4
So the area would be x*x+4=60
Solve: 2x+4=60, 2x=36, x=18
The height is 18 so the length is 22
The perimeter=18*2+22*2
Result: 80cm