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
Vladimir [108]
3 years ago
8

When 36 is added to a certain two-digit number, the results is the number with the digits reversed. The units' digit is one more

than twice the tens' digit. Find the number​.
Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

37

Step-by-step explanation:

T = two digit number

X = first digit

Y = second digit

T = XY where XY are two numbers placed next to eachother rather than multiplied.

36 + XY = YX

The units' digit is one more than twice the tens' digit.

Y = 1 + 2X

Since Y is a 1 digit number it can't be greater than 9.

9 ≥ 1 + 2X

This means X can't be greater than 4.

9 - 1 ≥ 2X

8 ≥ 2X

8/2 ≥ X

4 ≥ X

If X = 1, Y = 3

36 + 13 = 48

If X = 2, Y = 5

36 + 25 = 58

If X = 3, Y = 7

36 + 37 = 73

If X = 4, Y = 9

36 + 49 = 88

37 is the reverse of 73

Therefore the number is 37

You might be interested in
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
mixer [17]

Given:

|u|=10 at an angle of 45°.

|v|=13 at an angle of 150°.

w=u+v

To find:

Magnitude and direction angle of w.

Solution:

We have,

w=u+v

\theta = 45^\circ, \phi = 150^\circ

Now,

u_x=|u|\cos \theta=10\cos 45^\circ=7.071

u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071

v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833

v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5

Using these information, we get

R_x=u_x+v_x=7.071-11.25833=-4.18733

R_y=u_y+v_y=7.071+6.5=13.571

\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})

\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})

\text{Direction angle}=-72.8239

\text{Direction angle}=107.1476

\text{Direction angle}\approx 107.1

Now,

|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}

|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}

|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}

|w|=14.20236

|w|\approx 14.20236

Therefore, the correct option is D.

4 0
3 years ago
Read 2 more answers
Consider the function f(x)=4x2+4x+1. What is the vertex of the function?
bulgar [2K]

Answer:

The vertex of the function f(x)=4x^{2} +4x+1 is (-\frac{1}{2} ,0)

Step-by-step explanation:

I've graphed this on desmos for a visual

5 0
3 years ago
Richard has 3 times as many music CD's as Benny does If Richard has y CD's the number of CD's Benny has is given by the expressi
Sloan [31]
30 cds x three penis enlargement pills equals 67 cds
3 0
3 years ago
what is the general equation of cosine function with a amplitude of 3 a period of 4pi and a horizontal shift of - pi
kicyunya [14]
The general form of such an equation will be
f(x)=A\cos\left(\dfrac{2\pi(x-B)}{C} \right)+D
where
  A = amplitude (3)
  B = horizontal shift to the right (-π)
  C = period (4π)
  D = vertical offset (0)

Your equation will be ...
f(x)=3\cos\left(\dfrac{x+\pi}{2}\right)

4 0
3 years ago
Read 2 more answers
Help me and I'll mark brainiest
3241004551 [841]

Answer:

$425

Step-by-step explanation:

because the closest to 400$ is 425. hope this helps

4 0
3 years ago
Read 2 more answers
Other questions:
  • Is(5, 6)asolutiontotheinequality<br> y &lt; 2x + 4 ?
    15·1 answer
  • The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one
    11·1 answer
  • Four people each deliver food to people’s homes. Curtis charges a flat flee of $2.50 for each delivery plus $0.20 per mile for e
    12·2 answers
  • What is 8/30 30/48 20/24 24/27 and 21/28 in simplist form
    10·1 answer
  • Help plz help me .me no good
    8·2 answers
  • Please help me 7th grade math
    15·1 answer
  • SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR
    10·1 answer
  • Help me plzzzzzzzzzzzz
    7·2 answers
  • HELP AND EXPLAIN/SHOW WORK THANKS
    14·1 answer
  • PLEASE HELP find the value of x
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!