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
A quadratic. equation will always have an irrational solution since there is a square root in the quadratic formula. True or False?
Answers
Answer:
False
Step-by-step explanation:
If the square root can be simplified to a rational number the solution will not be irrational.
Answer:
False
Step-by-step explanation:
Consider reducible quadratic equations. They have rational solutions.
Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a multiple of 3.
Answers
Answer
1/3
Step-by-step explanation:
Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.
Answers
Answer: 125 hearts and 375 stars
Step-by-step explanation:
25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars
Answer:
125 hearts and 375 stars
Step-by-step explanation:
Evaluate to function for the given value of X
Answers
[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]
To make pink paint you need 2 pints of white paint and 1 pint of red paint. How many pints of red paint is needed for 10 pints of white paint? *plz i neeeed help
Answers
Answer:
5 pints is needed
Step-by-step explanation:
2 pints of white paint for pink
1 pint of red for pink
10 pints of white paint = 5 pints of red
The table below shows the number of minutes a household phone is used daily based on the number of household members.
Which equation best models this set of data?
A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3
Answers
I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D
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.
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Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%
Answers
Answer:
62.5 %
Step-by-step explanation:
you have to subtract 32-12, which equals 20
then divide 20 by the original amount (20/32)
20/32= .625, then you have to multiply to get the final answer...hope this helped!
A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?
Answers
Answer: p800,000
Step-by-step explanation:
1/2 to wife
1/3 to eldest son, and
Rest(x) to 5 youngest children
(1/2) + (1/3) + x = 1 [The sum of the shares will equal 1 estate]
(3/6) + (2/6) + x = 1
(5/6) + x = 1
x = (1/6); to be divided among the 5 youngest children
We find that each young child receives p60,000. That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).
We can write: (1/6)*(Estate) = p300,000
Estate = p1,800,000
The wife hauled in 1/2 of this, so she received p800,000.
Solve the equation.
7- 3n = 11n+ 2
Answers
3n-11n=11n+2-11n
how do you know how many points are needed to make a graph of a polynomial function from a table? are there a safe number of points to make the graph of any polynomial function? if so, what is that number? please help, explain well if possible
Answers
Step-by-step explanation:
You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following
The exterma: The maximum/minimum points on a certain interval.
The zeroes: What values willTheorem, Factoring, and more to help you find the zeroes.
Increasing and decreasing behavior between the consective zeroes: How the function behaves around consective zeroes. It must be above or below x axis between the zeroes.
And finally, the end behavoir: How the function behaves as x approaches infinity and negative infinity. Does the function increases or decreases.
That it. If you need an example, just ask me
Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.
Answers
Answer:
25 %
Step-by-step explanation:
Error = (actual - predicted) / (predicted)
= (250-200) / 200
= 50 / 200
= 0.25
multiply by 100 to conver to a percent
25 %
a *blank* *blank* trinomial has only one element in the solution set
Answers
Answer:
a solution set trinomial has only one element in the solution set
Step-by-step explanation:
Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A
Answers
Answer:
42 and 54
Step-by-step explanation:
work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator
Answers
The answer is 34.54 cm
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Radius=11cm
Thus circumference of the semi-circle is = πr
=3.14×11
=34.54 cm
Hence, The answer is 34.54 cm
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pls help on my maths
Answers
Given:
[tex]A = 25[/tex]Let's simplify.
=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)Therefore, r ≈ 2.82.
Hoped this helped.
Answer:
r= 5/√ π
or
r=2.820948 or simplified =2.82
Step-by-step explanation: it could be either one of these
468 divided by 3 step by step solution
Answers
Answer:
156Step-by-step explanation:
468 ÷ 3
= 156
hope u liked the answer :)
#keep learning
8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?
Answers
The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.
The correct responses are;
(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 NReasons:
The velocity of the brick as it reaches the ground is given by the formula;
v² = 2·g·h
v = √(2·g·h)
Where;
h = The height of the brick, h = 1.6 m
g = The acceleration due to gravity ≈ 9.81 m/s²
Therefore;
v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s
(a) Momentum = Mass × Velocity
The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s
(b) Impulse = Force × Δt = Mass × Δv
Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s
Therefore, the impulse = 44.8 N·s
(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m
Initial energy in the brick, E = m·g·h
Which gives;
E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J
Energy = Force × Distance
[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]
The average force the carpet exerts, F = 6,278.4 N
(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;
Distance = 6.0 cm = 0.06 m
Therefore;
[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]
The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N
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what is 7.5% as a fraction
Answers
Answer:
15/2
Step-by-step explanation:
hope it helps (•‿•)
Need all answers a lot of points
Answers
The Y intercept is 3. Since it’s going up 3 over one, the fraction is 3/1 which can be simplified to 3. and the graph is going up since you go from left to right. So F [ y=3x+3] is the correct answer
Without doing any calculations, is positive or negative?
Explain your reasoning.
Answers
Answer:
what is positive or negative???
The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x
Answers
The linear equation is y = 8x and the slope of the graph is 8
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Using the points (2, 16) and (3, 24):
[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]
Hence the linear equation is y = 8x
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Solve for W if:
4w^2+9w=-2
Answers
Hope it helps
Please answer fast this is due soon
Answers
Step-by-step explanation:
multiply the first equation by 1, the second by -1 and add.
x + 2y = -16
-x - 6y = 28
--------------------
0 - 4y = 12
-4y = 12
y = -3
x + 2×-3 = -16
x - 6 = -16
x = -10
Select the four equivalent expressions to 4x^2 - 4x -24
A - 2x^2 - 2x - 12
B - 4(x^2 - x - 6)
C - 4(x - 3)(x + 2)
D - (2x - 2x)^2 - 24
E - (4x - 12)(x +2)
F - (x - 3)(4x + 8)
Answers
Answer:
b. 4(x^2 - x - 6)
c. 4(x - 3)(x + 2)
e. (4x - 12)(x +2)
f. (x - 3)(4x + 8)
hope it helps :)
mark brainliest!!
How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!
Answers
Answer:
9
Step-by-step explanation:
The coefficient is always the number before the variable (X).
Answer:9
Step-by-step explanation:
The coefficient is always by the variable (the number or letter)
brainliest if correct
Solve.
−49x+2.4=6
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
$\text{Basic}$
Answers
Step-by-step explanation:
[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]
9 + (-6) = 3 is this correct
Answers
Answer:
yes u are correct,it's does equal that
HELPPP ASAPPPPPPPPPPP
Answers
I can't see it can you retake the picture please so I can try to help if I know it?
The image below represents a Function. Describe what is happening in this "machine".
Answers
Answer:
The input is being multiplied by 10.
This can be represented with the function x * 10 = y with x representing the input and y representing the output.
Step-by-step explanation: