A three-digit number has one more ten than it has hundreds, and it also has one more than twice as many units as tens. The sum of the number and that number reversed is 31 less than 10 cubed. Find the reverse number.

15 pts

Answers

Answer 1

The reverse number of the three-digit number is 732

How to determine the reverse of the number?

Let the three-digit number be xyz.

So, the reverse is zyx

This means that

Number = 100x + 10y + z

Reverse = 100z + 10y + x


From the question, we have the following parameters:

y = x + 1

z = 1 + 2y

The sum is represented as:

100x + 10y + z + 100z + 10y + x = 10^3 - 31

100x + 10y + z + 100z + 10y + x = 969

Evaluate the like terms

101x + 101z + 20y = 969

Substitute y = x + 1

101x + 101z + 20(x + 1) = 969

101x + 101z + 20x + 20 = 969

Evaluate the like terms

101x + 101z + 20x = 949

121x + 101z = 949

Substitute y = x + 1 in z = 1 + 2y

z = 1 + 2(x + 1)

This gives

z = 2x + 3

So, we have:

121x + 101z = 949

121x + 101* (2x + 3) = 949

This gives

121x + 202x + 303 = 949

Evaluate the sum

323x = 646

Divide by 323

x = 2

Substitute x = 2 in z = 2x + 3 and y = x + 1

z = 2*2 + 3 = 7

y = 2 + 1 = 3

So, we have

x = 2

y = 3

z = 7

Recall that

Reverse = 100z + 10y + x

This gives

Reverse = 100*7 + 10*3 + 2

Evaluate

Reverse = 732

Hence, the reverse number of the three-digit number is 732

Read more about digits at:

https://brainly.com/question/731916

#SPJ1


Related Questions

Charlie began hiking from her campsite back to her car. Her campsite was located 9 miles from her car. She had walked for 1 hour and was 2 miles from her campsite when she realized she had forgotten her water bottle. She hurried back to her campsite in 0.5 hours, collected her water bottle, and rested for 0.5 hours. Then she began hiking back to her car at a quicker pace. She hiked for 3 more hours before she reached her car. Which graph represents Charlie's distance from her car at different times?

Answers

The Distance - Time graph that represents that represents Charlie's trip is attached accordingly.

What is a Distance - Time Graph?

A distance-time graph can be used to illustrate the distance traveled by an item moving in a straight line.

The gradient of the line in a distance-time graph equals the speed of the item. The quicker the item moves, the higher the gradient (and the steeper the line).

What is the use of a Distance - Time Graph?

Some of the uses of the distance-time graph are;

The position of the object at a time can be detected using the distance - time graph

The D-T Graph can provide the speed at which a person or an object is traveling.

Learn more about Distance - Time Graph:
https://brainly.com/question/19730285
#SPJ1

A palindrome is a string of characters the reads the same backwards as it does forwards. for example, "mam" is a 3-letter palindrome. how many 6-letter palindromes are there?

Answers

If a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes after solving through permutations.

Given that a palindrome is a string of characters the reads the same backwards as it does forwards.

We are required to find the number of 6 letter palindromes.

Permutations is basically finding how many ways in which the some numbers or things can be arranged. It is expressed as [tex]nP_{r}[/tex]=n!/(n-r)!.

If there are 6 letters then in a palindrome 3 alphabets are used here to form a 6 letter word.

=6[tex]P_{3}[/tex]

=6!/(6-3)!

=6*5*4*3!/3!

=120 palindromes.

   

Hence if a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes.

Learn more about permutations at https://brainly.com/question/1216161

#SPJ1

40 points answer ASAP PLEASE!
For what values of x does f(x) = 0?
A.−4, 0, 2
B.−2, 0, 4
C.−5, 0, 17
D.−17, 0, 5

Answers

I think it is 2, 0, 4 but it would be very helpful if you put in an image of the graph.

Have a great day :D

Use the bisection method to find solutions accurate to within 10−2 for x 4 − 2x 3 − 4x 2 4x 4 = 0 on each interval.
(a) [−2, −1].
(b) [0, 2].
(c) [2, 3].
(d) [−1, 0].

Answers

The solution accurate to equation within [tex]10^{-2}[/tex] for [tex]x^{4}-2x^{3} -4x^{2} +4x+4=0[/tex] lies in [0,2].  

Given the equation  [tex]x^{4}-2x^{3} -4x^{2} +4x+4=0[/tex] and range is  [tex]10^{-2}[/tex].

We are required to find the interval in which the solution lies.

The attached table shows the iterations. At each step, the interval containing the root is bisected and the function value at the mid point of the interval is found. The sign of its relative to the signs of the function values at the ends of the interval tell which half interval contains the root. The process is repeated until the interval width is less than [tex]10^{-2}[/tex].

Interval:[0,2], signs [+,-],mid point:1, sign at midpoint +.

[1,2]                                                       3/2

[1,3/2]                                                    5/4

The rest is in the attachment. The listed table values are the successive interval mid points.

The final midpoint is 181/128=1.411406.

This solution is within 0.0002 of the actual root.      

Hence the solution accurate to equation within [tex]10^{-2}[/tex] for [tex]x^{4}-2x^{3} -4x^{2} +4x+4=0[/tex] lies in [0,2].

     

Learn more about equations at https://brainly.com/question/2972832

#SPJ4

+
Simplify the following expressions by combining the like terms!
3) 4x-7-y+6-2y
4) 6y + 2(y + 1) - 5
5) 3(2+3x) + 4(y + 2x) - 6

Answers

Answer:

5) 3(2+3x)+4(y+2x)-6

Step-by-step explanation: its gone be -6 either way

3) given equation,4x-7-y+6-2y
=4x-3y-1

4) given equation,6y+2(y+1)-5
=6y+2y+2-5
=8y-3

5) given equation,3(2+3x)+4(y+2x)-6
=6+9x+4y+8x-6
=17x+4y

In a survey conducted among the people,200 like fruit and100 like both of them . using veen diagram, find the number of people who like at least. one of them

Answers

your question is not clear

The geometry of the hybrid orbitals about a central atom with sp3d hybridization is:________

Answers

For sp3d hybridized central atoms, the only possible molecular geometry is trigonal bipyramidal.

Hybridisation (or hybridization) is a process of mathematically combining two or more atomic orbitals from the same atom to form an entirely new orbital different from its components and hence being called as a hybrid orbital.

In this case, if all the bonds are in place, the shape is also trigonal bipyramidal.

In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid.

Bond angle(s): 90°, 120°

Coordination number: 5

Point group: D3h

For more information about orbitals, visit

https://brainly.com/question/25886221

#SPJ4

The sum ∫2−2() ∫52()−∫−1−2() can be written as a single integral in the form ∫() determine and

Answers

We have

[tex]\displaystyle \int_{-2}^2 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx = \int_{-1}^2 f(x) \, dx[/tex]

so that

[tex]\displaystyle \int_{-2}^2 f(x) \, dx + \int_2^5 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx \\\\ ~~~~~~~~~~~~ =  \int_{-1}^2 f(x) \, dx + \int_2^5 f(x) \, dx \\\\ ~~~~~~~~~~~~ = \boxed{\int_{-1}^5 f(x) \, dx}[/tex]

What are the points if the slope is 4 and the point is (1,-1)

Answers

The points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the points?

The given parameters are:

Slope = 4

Point = (1, -1)

The slope of 4 means that as x changes by 1, the value of y changes by 4

This means that, we have:

(x + 1, y + 4)

Substitute the known values in the above equation

(1 + 1, -1 + 4)

Evaluate

(2, 3)

Hence, the points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

answer????? with steps​

Answers

6000 x 10% x 5

=600x5
=3000

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?
108°
127°
150°
487°

Answers

Answer:

127

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Find the area of the base of a drum if it needs 88 m long rope to tie twice it around.
solve with full solutions!​

Answers

Answer:

[tex]154 $\ m^2[/tex]

Step-by-step explanation:

If 88 m of long rope is wrapped twice around the base of the drum, the circumference of the drum is 44m. We can use this information to find the radius of the base.

Find the Radius

The equation for circumference is [tex]C=2\pi r[/tex]. We can substitute the value we found for circumference into the equation:

[tex]44=2\pi r[/tex]

Divide both sides by 2

[tex]22=\pi r[/tex]

Divide both sides by π

[tex]r=\frac{22}{\pi}[/tex]

Use the Radius to find the Area

The area of a circle is [tex]A=\pi r^2[/tex]. We can substitute the value we found for the radius into the equation:

[tex]A=\pi (\frac{22}{\pi})^2\\[/tex]

[tex]A=\pi (\frac{22}{\pi})(\frac{22}{\pi})[/tex]

[tex]A=22*\frac{22}{\pi}[/tex]

[tex]A=\frac{484}{\pi}[/tex]

[tex]A\approx154[/tex]

Saul walks dogs to earn extra money. He
earned $220 last week by walking 16 dogs.
Write and solve an equation to determine
how much he charges to walk each dog
each week.

Answers

Answer:

£13.75

Step-by-step explanation:

→ Call the charge x

x

→ Multiply by 16

16x

→ Equate to total

16x = 220

→ Divide both sides by 16

x = £13.75

Determine the 95% confidence interval for the difference of the sample means. then complete the statements.

Answers

Answer:

Confidence Level z*-value

90% 1.645 (by convention)

95% 1.96

98% 2.33

99% 2.58

Step-by-step explanation:

the difference in sample means is 0.1, and the upper end of the confidence interval is 0.1 + 0.1085 = 0.2085 while the lower end is 0.1 – 0.1085 = –0.0085.

M angle JKL=
Help me please! Asap thanks so much :)

Answers

The measure of the angle <JKL is 56 degrees

Tangent secant theorem of a circle

The theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Given the following parameters

m<IL = 112 degrees

Since the measure of the vertex is half the measure of its intercepted arc, hence;

<JKl = 1/2(m<IL)

Substitute the given parameters into the formula to have;

<JKl = 1/2(112)

<JKL = 56 degrees

Hence the measure of the angle <JKL is 56 degrees

Learn more on Tangent secant theorem here: https://brainly.com/question/26826991

#SPJ1

I dont know this, please can someone help

Answers

The table of values for y=1/2x-1 is completed as follows:

x               y

-2             -2

-1            -3/2

0               -1

1             -1/2

2                0

3              1/2

Exactly one value from the set of second components of the ordered pair is connected with each value from the set of first components of the ordered pairs in a relation known as a function.

Given function:  y=1/2x-1

For x = -2

Value of y = -2

For x = -1

Value of y = 1/2(-1)-1 = -3/2

For x = 0

Value of y = 1/2(0)-1 =-1

For x = 1

Value of y = 1/2(1)-1 = -1/2

For x = 2

Value of y = 0

For x = 3

Value of y = 1/2(3)-1 = 1/2

Learn more about values here:

https://brainly.com/question/843074

#SPJ1

Given u = ⟨3, 2⟩, v = ⟨1, 5⟩, and the angle between the vectors is 45°, what is u · v?

Answers

We need to use a technique called dot multiplication. In this technique, we multiply the magnitude of two given vectors by the value of the angle between them.

In the question, the value of the angle between two vectors [tex]cos(45^0)[/tex] and the coordinates of the two vectors are given. Let's multiply them by the dot product to get the result.

Formula: [tex]u.v=|u||v|cos(a)[/tex]


[tex]u=3i+2j[/tex]
[tex]v=i+5j[/tex]
[tex]cos(a)=\frac{1}{\sqrt{2}}[/tex]

To find the magnitude of a vector, we square the coordinates, add them up and take the square root of the result.

[tex]Magnitude=\sqrt{x^2+y^2+z^2+...}[/tex]

Result: [tex]u.v=|\sqrt{(3^2)+(2^2)}||\sqrt{(1^2)+(5^2)}|.\frac{1}{\sqrt{2}}=(13\sqrt{2})\frac{\sqrt{2}}{2} =13[/tex]

what is 5/8 divided by 1/2?

Answers

Answer:

5/4

Step-by-step explanation:

(5/8)(2/1)

(Reciprocal of 1/2 is 2/1 as shown above)

(5)(2)/(8)(1)=10/8

10/8=5/4

help needed with this one

Answers

Based on the given parameters, the length of the missing length in the triangle is 12 units

How to determine the length of the missing side?

The given triangle is an scalene triangle

Scalene triangles are triangles that have unequal three sides

The missing side is x, and the value of x is calculated using the following equivalent ratios

We have

4 : 8 = 6 : x

Express the above equation as a fraction

4/8 = 6/x

Evaluate the quotient

0.5 = 6/x

Solve for x

x = 6/0.5

Evaluate the quotient

x = 12

Hence, the length of the missing length is 12 units

Read more about triangles at

brainly.com/question/2437195

#SPJ1

Jamie is 6 years older than tyrion now. in 2 years, jamie will be one year less than twice tyrion's current age. what is jamie's current age?

Answers

Answer:

Jamie is currently 15.

Step-by-step explanation:

find PQ if possible

Answers

Answer: 11 units

Step-by-step explanation:

We can say that [tex]\triangle TSQ\sim\triangle PSR[/tex] by AA Similarity Postulate. This is since [tex]\angle T\cong\angle P[/tex] and both ∠TSQ and ∠RSP are right angles, making them congruent.

Similar triangles have a property that corresponding sides are proportional. Hence, we can say that

[tex]\frac{ST}{PS}=\frac{SQ}{SR}\\\frac{15}{PS}=\frac{9}{12}\\\frac{15}{PS}=\frac{3}{4}\\60=3*PS\\PS=20[/tex]

We also know that PS is the combined length of PQ and QS. Since we know that QS is 9, let's substitute PQ + 9 in and solve.

[tex]PQ+9=20\\PQ=11[/tex]

On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.
a. ( - 2 , 12 )
b. ( 6 , 12 )
c. ( - 6 , 0 )
d. ( - 6 , 6 )

Answers

By direct comparison and definition of line segment  we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)

What point lies on a line segment?

According to linear algebra, a point lies in a line segment if its vector is a multiple of the vector that generates the line segment itself, that is:

AB = k · AP        (1)

The vector that generates the line segment is:

AB = (2, 6) - (- 2, 3)

AB = (4, 3)

And the vectors related to each point are:

Case A

AP = (- 2, 12) - (- 2, 3)

AP = (0, 9)

Case B

AP = (6, 12) - (- 2, 3)

AP = (8, 9)

Case C

AP = (- 6, 0) - (- 2, 3)

AP = (- 4, - 3)

Case D

AP = (- 6, 6) - (- 2, 3)

AP = (- 4, 3)

By direct comparison and definition of line segment  we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)

To learn more more on line segments: https://brainly.com/question/25727583

#SPJ1

Define the singular matrix.​

Answers

Answer:

A square matrix whose determinant is equal to zero is called singular matrix.

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

[tex]\leadsto[/tex] So the square matrix that has its det zero and its inverse is not defined is called a singular matrix.

[tex]\bold{Example:}[/tex]

[tex]\begin{bmatrix} \sf{3} & \sf{6} \\ \sf{2} & \sf{4}\end{bmatrix} \\ \\ \sf and \\ \begin {bmatrix} \sf{ 1} & \sf2 & { \sf2} \\ { \sf1} & { \sf2} & \sf{2} \\ \sf{3} & \sf {2} & \sf{1}\end{bmatrix}[/tex]

[tex]\huge \mathbb{ \underline{EXPLANATION:}}[/tex]

A singular matrix is a square matrix if its determinant is O. i.e., a square matrix A is singular if and only if det A = 0. The formula to find the inverse of a matrix is

[tex] \bold{ {A}^{1} = \dfrac{1 \: }{det \:A } adj[A] }[/tex]

So if det A = 0 then the inverse of A will be not defined.

Scalcet8 4. 2. 26. suppose that 2 ≤ f '(x) ≤ 4 for all values of x. what are the minimum and maximum possible values of f(4) − f(1)? ≤ f(4) − f(1) ≤ show my work (optional)

Answers

The minimum value of f(4) - f(1) is 6.

The maximum value of f(4) - f(1) is 12.

In the question, we are given that, 2 ≤ f'(x) ≤ 4 for all values of x.

Taking the given inequality as (i).

We are asked to find the minimum and maximum possible values of f(4) - f(1).

We multiply (i) by dx throughout, to get:

4dx ≤ f'(x)dx ≤ 5dx.

To find this, we integrate (i) in the definite interval [4, 1] with respect to dx, to get:

[tex]\int_{1}^{4}2dx \leq \int_{1}^{4}f'(x)dx \leq \int_{1}^{4}4dx\\\Rightarrow [2x]_{1}^{4} \leq [f(x)]_{1}^{4} \leq [4x]_{1}^{4}\\\Rightarrow 2*4 - 2*1 \leq f(4)-f(1) \leq 4*4 - 4*1\\\Rightarrow 6 \leq f(4) -f(1) \leq 12[/tex]

Thus, the minimum value of f(4) - f(1) is 6.

The maximum value of f(4) - f(1) is 12.

Learn more about definite integrals at

https://brainly.com/question/17074932

#SPJ4

i need help with this ;n;​

Answers

You’re out of luck oh noooo

How many integers between $1$ and $200$ are multiples of both $3$ and $5$ but not of either $4$ or $7$

Answers

There are only 13 multiples of both 3 and 5, since

[tex]200 = 3\cdot5\cdot13 + 5[/tex]

From these integers, we eliminate any that are also divisible by 4 or 7.

[tex]3\cdot5\cdot4 = 60 \implies \{60,120,180\}[/tex]

[tex]3\cdot5\cdot7 = 105 \implies \{105\}[/tex]

so there are 13 - 4 = 9 such integers.

what is the equivalent expression (3*5)^6=?

Answers

Answer:

15^6

Step-by-step explanation:

According to BODMAS

where;

B - Bracket ()

O - Off (*)

D - Division (/)

M - Multiplication (*)

A - Addition (-)

S - Subtraction (+)

Bracket should be solved first

therefore;

(3*5)^6

15^6 = 11390625

Which can be approximately in standard form written as 1.1*10^7

if the earth is 12.5 million years old, how old is the earth in hours?​

Answers

Answer:

1.09575e+11

Step-by-step explanation:

24 hours in a day
365 days per year
12,500,000 years

12,500,00*365*24=
1.095 x 10^11

PLSSS

C= [tex]\frac{12^{3} . 6^{5} }{9^{4} . 2^{10}}[/tex]

Answers

Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

[tex]12 = 3.4 = 3 .2.2 = 3.2^{2}\\12^{3} = (3.2^{2} )^{3} = 3^{3}2^{6} \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator } =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2[/tex]  

WILL GIVE CROWN
What is the remainder of 2x^2+7x-39/x-7

show work

Answers

On dividing we get 69/2 or 34.5 as remainder.

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial f(x) has a factor if and only if f=0.

Long division is best suited for such expressions:-

On applying long division and factor theorem we get

2x²+7x-39 = (2x - 1/2)(x-7) + 69/2

Thus on dividing we get 69/2 or 34.5 as remainder.

Learn more about division  here :

https://brainly.com/question/2273245

#SPJ1

Other Questions
What is the volume of a solution, in milliliters, that contains 1. 5 g lino3 and has a concentration of 0. 40 m? given the quadriatic equationx + 6x + 9 = 4kxfind the set values for which k has real roots |x - 1| > 4 is equivalent to which of the following?a. -3 < x < 5b. x > 5c. x > 5 or x < 3d. x < 5*show your work* when the crowd sees Ceasar's body, what makes them angry? When the government regulations force a natural monopoly to produce where price equals average total cost, social welfare is:_________ Assuming ideal solution behavior, what is the boiling point of a solution of 115.0 g of nonvolatile sucrose (table sugar), CHO (342.300 g/mol), in 350.0 g of water (Kb = 0.512 C m; boiling point = 100.0 C)? Two venomous snakes, originated on different islands, having never intersected with each other. how would you best describe the trait of venom? Consider amy tans essay "mother tongue". identify and evaluate two examples of code-switching in tans essay. how does this code-switching reflect tans complex upbringing, cultural background, and life in american society? Using the Decision-Making ProcessPauline has the option of studying for two more hours for her exam, watching television, or going to sleep. Select thecorrect order for each step in her decision-making process.Y, Pauline makes the decision to study more for the exam.Pauline considers the consequences of each choice. ofPauline lists her choices: stay up late to study, watch television, or go to sleep.Pauline identifies the decision she has to make: study for two more hours for the exam or not.Pauline takes the exam and evaluates her choice based on her score. *photo attached* The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.67 m and 1.01 m, respectively. The respective rotational speeds are 444 rev/min and 4,130 rev/min. Calculate the speeds of the tips of both rotors.main rotor ______m/stail rotor _______m/sCompare these speeds with the speed of sound, 343 m/s.vmain rotor = _______ vsoundvtail rotor = _______ vsound The lyrics for west side story were written by :_______ a) oscar hammerstein ii. b) jerome robbins. c) stephen sondheim. d) leonard bernstein The peak magnetic field strength in a residential microwave oven is 9. 2 x 10-5 t. what is the intensity of the microwave? The sensory neurons within the olfactory organ are stimulated by ________ in the air. proteins pressure dust water chemicals Early that morning, a tissue sample from a cow in Washington State had tested positive for bovine spongiform encephalopathy (BSE)also known as mad cow disease. Thats a rare brain disorder that kills both animals and humans. In Europe, hundreds of thousands of cows have caught the disease. And 150 humans have died from it. But mad cow disease had never appeared in the U.S. Until now!What is the best reason this passage would be part of the opening?It provides evidence to support a claim.It brings together details into a judgment. It explains what issue is being discussed.It states why a counterargument is weak. Question 6 (Essay Worth 5 points)(03.04 MC)What is the name of Pb(NO3)2? Explain how you determined the bond type and the steps you used to determine the naming convention for the compound. Which individual is at an increased risk of dying in a famine, losing life to a wasting disease, and experiencing a poor outcome from surgery due to inadequate nutrient stores? What is another chloride that could be used instead of the calcium chloride dihydrate to produce a solid precipitate with aqueous sodium carbonate? What is an example of total internal reflection at work? A. A ray of light has the same intensity both entering and exiting a fiber optic cable.B. A ray of light entering a glass cube gets refracted.C. A ray of light in air hits a shiny surface and bounces off.D. A ray of light entering a ruby gets refracted. though its economics question can anybody help me Extrapyramidal side effects are characterized by a triad of symptoms, including what?