A number consists of two digits. The sum of its digits is 16. If 28 is subtracted from the number, the digits interchange their place. Find the number. |.Give the answer only ​

Answers

Answer 1

Answer:

The number is 97

Step-by-step explanation:

Note: The difference should read 18 not 28, it must be a typo. In general such difference must be a multiple of 9.  

Let the digits are x and y.

If the first digit is x and the second digit is y, then the number is 10x + y.

According to the question we have:

x + y = 1610x + y - 18 = 10y + x ⇒ 9x - 9y = 18  ⇒ x - y = 2

Add up the equations:

x + y + x - y = 16 + 22x = 18x = 9

Find y:

9 + y = 16y = 7

The number is 97.


Related Questions


The graph below represents which system of inequalities?

Answers

Answer:

c

Step-by-step explanation:

Help please

Hint ( wave length is speed decided by frequency )

Physics The wavelength of a radio wave is defined as speed divided by frequency.
An FM radio station has a frequency of 9 x 10^7 waves per second. The speed of
the waves is about 3 x 10^8 meters per second. What is the wavelength of the
station?

Answers

Answer:

3.333 m

Step-by-step explanation:

Divide speed by frequency

3 x 10^8 / 9 x 10^7

tyrell walks 12 miles in 3 hours. which graph has the slope that best represents his rate

Answers

The graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

How to Find the Slope of a Proportional Relationship Graph?

For any proportional relationship, we can find the slope of the graph by using any point on the line of the graph. The slope of the graph is also the unit rate, Therefore, picking a point on the line, (x, y), we have:

Slope (m) = y/x.

Number of miles Tyrell walks (y) = 12 miles

Time spent working (x) = 3 hours

The unit rate or slope = y/x = 12/3

Slope/unit rate (m) = 4 miles per hour.

From the graphs given, only graph B has the same unit rate/slope as 4, when we use the point, (5, 20).

Slope of graph B = 20/5 = 4.

Therefore, the graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

Learn more about slope of a graph on:

https://brainly.com/question/12242745

#SPJ1

5 Clear Which number line best represents the solution to the inequality 18x + 3 < 48? ​

Answers

Answer:

D

Step-by-step explanation:

you must solve first

18x < 45

x < 2.5

the number line will have an arrow with an open circle since it does not include 2.5. the line will head towards 0 and negatives since it's less than 2.5 so your answer is D

Complete the inequality below to describe the
range of the graph shown.
Range:
<<5

Answers

Fill in the inequalities below to specify the graph's domain shown. Domain: __ is not greater than or equal to x, which is below 4.

Fill in the inequalities below to specify the graph's range shown.

Range: __ is not greater than or equal to y, which is below 5.

The domain and range is the graph's domain is its set of potential input values, and its range is its set of potential output values.

Following is the finished inequality reflecting the set of the domain and range;

First,

Domain: -4 is below x, which is below or equal to 4.

Second,

Range: -2 is below y, which is below or equal to 5

The attached graph shows that the point (-4, 5) has an open circle, which denotes that the point has no value.

The closed circle at the other end of the graph, at the coordinates (4, -2), denotes that the graph has a value at that location (4, -2)

First,

The domain of a graph is the set of potential inputs (x-values) for the graph, expressed as inequality is -4 < x ≤ 4

Therefore;

To complete the inequality for the domain, gives;

Domain: -4 is less than x which is less than or equal to 4

Second,

The range of a graph are the possible output (y-values) of the graph, in inequality notation, the domain of the attached graph is -2 ≤ y < 5

the domain supplies the necessary inequality to be complete;

Range: -2 is less than or equal to y which is less than 5.

Learn more about the domain and range of a graph here:

brainly.com/question/15164206

#SPJ9

The lines shown below are parallel. If the green line has a slope of -4, what is
the slope of the red line?

Answers

Answer:no graph is shown below

Step-by-step explanation:

But since is no solution they can't have the same slope.

evaluate 5x-[21-(3-11)x] when x=-2​

Answers

Answer:

-15

Step-by-step explanation:

(5)(−2)−(21−(3−11)(−2))

=−15

HAve a wonderful day Brainliest Please.

Consider the line y=6×-7
what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?​

Answers

Answer:

The slope of a line parallel to this line will be: 6

The slope of the perpendicular line will be: -1/6

Step-by-step explanation:

We know the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope b is the y-intercept

Given the equation

[tex]y=6x-7[/tex]

Thus, the slope of the line is: 6

The slope of a line parallel to the line:

We have already determined that the slope of the line is: 6

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: 6

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: 6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

[tex]\frac{-1}{6}\:\:[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-\frac{1}{6}[/tex]

Therefore, the slope of the perpendicular line will be: -1/6

7
Add: 4.0 + 3y + 2z and 3x + 5y + 3z

Answers

Answer:

8y+2zand^3x+3z+4

Step-by-step explanation:

Determine the intercepts of the line

Answers

Answer:

The y-intercept is 2

Step-by-step explanation:

In the image you can see the line going through the 2.

Answer: x-intercept = -7

Explanation:

As you can see the line pass through the x-axis at point -7

The question is in the photo

Answers

Answer:

49 and 97 is not the answer

HELPPP PLEASE!!

Solve for d:

3d-17 = 46

A. 15 1/3

B. 21

C. 5 2/3

D. 9 2/3

Answers

Answer: b

Explanation:
3d-17=46
+17 +17
3d = 63
63/3 = 21

y'all still have work oh my gosh ;((( WHENS YOUR HOLIDAY BREAK?? (mine started out yesterday)

Answers

mine starts on friday :D
yea finals next week! um you should give me motivation tho i have hella work to do and yk im just not motivated to do ittt. TS SUCKS


Given: Parallelogram QRST where QR = 6X - 5
and RS = 4x + 13. What is the length of QT?

Answers

since RS and QT are equal your equation would be x=4x+13 so you’d cancel out the 4x which would give you the equation -3x=13 then divide both sides by -3 which would leave you with x=-13/3

The length of QT should be considered when the Parallelogram QRST where QR = 6X - 5 is to be [tex]x=-13/3[/tex].

Calculation of the length of QT:

SInce

Parallelogram QRST where QR = 6X - 5 and RS = 4x + 13

So here we can write like

-3x = 13

x = [tex]-13 /3[/tex]

hence, The length of QT should be considered as the [tex]x=-13/3[/tex].

Learn more about length here: https://brainly.com/question/21005254

What is the result of adding these two equations? 50-y=6 -2x +y = 8​

Answers

Answer:

48x = 14

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Systems

50x - y = 6

-2x + y = 8

Step 2: Solve for x

Elimination

Combine 2 equations:                    48x = 14

For the AAS theorem to apply which side of the triangle must be known?
A. The included side
B. The longest slide
C. The shortest side
D. The non-included side

Answers

Answer:

option a is answer (the included side)

For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.

What is AAS theorem?

In the case when there is two angles and there is nonincluded side for one triangle that should be congruent to two angles and a nonincluded side of a second triangle, so the triangles should be considered as the congruent.

therefore, For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.

Learn more about option triangle here: https://brainly.com/question/4344649

A hot tub pump circulates 3.9 cubic feet of water per minute.how many cubic inches of water does it circulate each second

Answers

Answer:

0.78 cubic inches/sec

Step-by-step explanation:

you take 3.9 cubic feet and multiply it by 12 to convert it into inches and you get 46.8 cubic inches. then you divide by 60 to convert minutes to second and you get 0.78. hope that helps

Answer:

1123.2 cubic inch per second

Step-by-step explanation:

3.9 feet^3 = per minute

? = second

39 = 60 sec

? = 1 sec

39/60 =0.65 feet cubic

1 cubic foot = 1728 cubic inch

0.65 feet cubic = ?

0.65 * 1728

= 1123.2 cubic inch

m-
GET
17.
xm+ xy
(b) fa x = 2, y = 3, m= 4 n= 1 45 m-n
xm-nxymn
मान पत्ता लगाउनुहोस्।
If x = 2, y = 3, m = 4 and n= 1, find the value of
xm+nxy
Ans:
xm-nxym
m-n
+10
m + n.​

Answers

Answer:

[tex]xm+nxy=14[/tex]

Step-by-step explanation:

Given that x = 2, y = 3, m = 4 and n= 1.

Putting all the given values to get the value of xm+nxy.

So, the value of [tex]xm+nxy=2\times 4 + 1\times 2 \times 3=14[/tex]

Hence, [tex]xm+nxy=14[/tex].

Help lots of point + brainliest plz

write in slope intercept and standard form

Answers

Answer: 4

Step-by-step explanation:

Help for BRAINLIEST! Find the missing coordinates of the points in the diagram

Answers

Answer:

(2, 2[tex]\sqrt{3}[/tex]) and (4,0)

Step-by-step explanation:

Let x be half of the triangles length

3x  = 6

x = 2

so B should be (2, 2[tex]\sqrt{3}[/tex])

and D should be (4, 0)

pls answer all the parts of this

Answers

Answer:

A. 360

B. 780

C. 350

Step-by-step explanation:

Times the time by the speed

WILL BRAINLIST
45 points

Drag each tile to the correct box. Not all tiles will be used.
Simplify the expression by arranging the steps in sequence, based on the order of operations,

Answers

it’s only 5 points disappointing

The variable b varies directly as the square root of c. If b = 100 when c = 4, which equation can be used to find other combinations of b and c

a. b=25c

b. b√c=50

c. b=200c

d. b=50√c

Answers

Your answer is B

Hope this helps!

Select all the ratios that are equivalent to 9:6.

A 6:9

B 3:2

C 13:10

D 5:2

E 18:12

Answers

Answer:

B and E

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9:6 reduced is 3:2

what is 3/5 divided 2 1/2?

Answers

Answer:

6/25 or 0.24

Step-by-step explanation:

(3/5) / (2 1/2) =

(3/5) / (5/2) =

(3/5) × (2/5) =

6/25 = 0.24

Answer:

6/25

Step-by-step explanation:

I Divided 3/5 by 1/2

If someone drove 640 miles in 4 hours how would you determine they would travel in 12?

Answers

Answer:

Step-by-step explanation:

if someone drove 640 miles in 4 hours,

, it means that they drove 640/4=160 miles per hour

in 12 hours

160*12=1920

or

640............................4 h

640*3.........................4*3 hours

which give syou the same answer

1920.............................12 hours

Answer:

1,920 miles

Step-by-step explanation:

640 divided by 4 = 160

160 x 12 = 1,920

A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

f(x) = 48(Five-sixths) Superscript x minus 1
f(x) = 48(three-fourths) Superscript x minus 1
f(x) = 64(three-fourths) Superscript x minus 1
f(x) = 64(Five-sixths) Superscript x minus 1

Answers

Answer:

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore, given as follows;

[tex]f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}[/tex]

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore the correct answer is C

A circle has radius 50 cm. Which of these is closest to its area?






Select one:
157 cm^2
314 cm^2
7,854 cm^2
15,708 cm^2

Answers

^two-dimentional figure^

area from circle

=

[tex]\pi \times r ^{2} [/tex]

=3,14 × 50²

=3,14 × 2500

=7850 cm².

closest= 7854 cm²

FINALLY FOUND

31. EF, given E(8, -3), (2, -5)
Domain
Range

Answers

Answer:

I think the domain would be the x values and range would be the y values in the given 2 points.

Domain : [2 , 8]

Range : [-5 , -3]

I hope you get this right.

Olympus Mons's peak rises 25 km above the surface of the planet Mars. The diameter of Mars is approximately 6794 km. What is the distance from the peak of Olympus Mons to the horizon to the nearest kilometer?

Answers

Answer:

1.17*10^14 km

Step-by-step explanation:

kindly find attached the image for your reference

Step one:

The diameter of Mars is approximately 6794 km

hence the radius is = 6794/2= 3397km

Step two:

Use the Pythagorean Theorem

[tex]x^2 + 3397^2 = (3397 + 25)^2\\\\[/tex]

[tex]x^2 + 11539609 = (11710084)^2\\\\x^2 + 11539609 = (11710084)^2\\\\x^2= (11710084)^2-11539609 \\\\x^2= 1.37*10^14-11539609 \\\\x^2=1.37*10^14\\\\x= √1.37*10^14\\\\x=1.17*10^14 km[/tex]

Other Questions
1112How is an aristocracy similar to a monarchy?O One person has complete control.O A small council makes all the laws.O People are born into their positions.O Rulers must have a military background. Emmett surveyed his class about the number of books his classmates read over the summer. The results of his survey are shown in thefollowing table.Number of books Number of students0-192-384-526-758-93Emmett created the following histogram from the data, but he made mistakes while constructing it.Select the parts of the histogram that Emmett needs to fix for the histogram to accurately represent the data in the table.Number of Books ReadDuring Summer Break10Number of Students860108Number of Books Readno What is the correct name for this plane? (look to ss) A. plane AJCB. plane AC. plane ABCD. plane AB Use the definition of continuity to determine whether the function f(x) graphedbelow is continuous at x = 0. Was the outbreak of World War I in Europe a tragic mistake? Why were some Louisianans concerned about New Orleans being the state capital? Check all that apply. The city had a high population of French-speaking residents. Many people living in New Orleans were Creoles, not Anglos. People in rural areas did not think New Orleans represented their way of life. There were fears the city was not centrally located and far from trade routes. The city was beginning to struggle economically and industry was in decline. While the Earth is revolving around the sun, less direct sunlight is reaching the Northern Hemisphere than the Southern Hemisphere. What season is it in the Northern Hemisphere? (1 point)Responseswinterautumnspringsummer The perimeter of the rectangle is (14,19,28,45) cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are (15cm by 11cm, 30cm and 9cm , 54cm and 5cm , 54cm and 30cm) . The perimeter of the new rectangle is ( 78,84,118,168 ) cm. When comparing the new perimeter to the original perimeter, the new perimeter is ( 1/6 timws less , 6 times greater , 60 times greater ) . Choose the best definition for sovereignty Pls answer will give brainliest Which term is used to describe the address of the recipient of a business letter?envolope addressweb addressinside addressoutside address karissas house went from a valuation of 12 million php (philippine peso) on 1st january 2007, to 8 million php on 1st january 2012. if the value of the house compounded monthly, what was the annual rate of change? give your answer in percentage, correct to 1 decimal place. Please help, if you put I dont know or something like tjat just for the points I 100% guarantee I will report, dont try me. Describe the graph of y > mx, where m > 0? Fill in the blank with either atom or molecule. Water is a(n) ____________________. IVE WATCHED ALOT OF THE GOOD TV SHOWS AND MOVIES ON NETFLIX...ANYONE HAVE ANY SUGGESTIONS doctors tested a patient to find out what molecules were in her cells her cells contained normal levels of amino acids normal levels of oxygen molecules and low levels of glucose molecules will this paitient exercise normally Will give brainlist How was Talmadge able to fulfill his campaign promises?by garnering support from both political partiesby having strong backing from Georgias citizensby using strong political pressureby getting assistance from his political allie Inequality 1: 9 xInequality 2: 13 + x > 21Which values in the set { 3, 5 , 6, 8.3, 9, 18 } make both inequalities true? Explain. Rainfall over land often results in water runoff and infiltration. Explain how runoff differs from infiltration.Plz help T^T