the tens digit of a two digit is 7. if the order of the digit is reversed the new number obtained is 45 less than the original number. what is the number?​

Answers

Answer 1

9514 1404 393

Answer:

  72

Step-by-step explanation:

The difference of 45 means the difference of digits in the number is 45/9 = 5. So, the ones digit is 7-5 = 2, and the number is 72.

__

If you want an equation, you can use x for the ones digit.

  70 +x = 45 +(10x +7)

  18 = 9x . . . . . . . . . . . . . subtract 52+x from both sides

  2 = x

The ones digit is 2, so the number is 72.

_____

Further explanation

If you start with the two digits xy in a number and reverse them, the difference between the numbers xy and yx is ...

  (10x +y) -(10y +x) = 9(x -y)

This tells you the difference between the digit-reversed numbers is 9 times the difference between the digits.

Answer 2

Answer:

the answer is 72

Step-by-step explanation:

:))))))


Related Questions

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution


1229 1257 1243 1194 1268 1316 1275 1317 1275

(a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

(b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.)

Answers

Answer:

A) Mean = 1264

Standard deviation = 37

B) CI ≈ (1241, 1287)

Step-by-step explanation:

A) Mean = Σx/n

Σx = 1229 + 1257 + 1243 + 1194 + 1268 + 1316 + 1275 + 1317 + 1275

Σx = 11374

Mean(x¯) = 11374/9

Mean(x¯) ≈ 1264

Standard deviation = √(∑(x - x¯)²/(n)

From online calculator;

Standard deviation; s ≈ 37

B) Our distribution factor is; DF = n - 1 = 9 - 1 = 8

From t-table attached, our critical value at 90% Confidence interval is t = 1.86

Formula for confidence interval is;

CI = x¯ ± t(s/√n)

CI = 1264 ± 1.86(37/√9)

CI = 1264 ± 22.94

CI ≈ (1241, 1287)

Katie needs 3/4 cup of sugar to make cookies. She only has 1/3 cup. How much more sugar does Katie need?​

Answers

Answer:

[tex]\frac{5}{12}[/tex] cups

Step-by-step explanation:

This question is asking for the difference between the two values so subtraction is necessary

[tex]\frac{3}{4} -\frac{1}{3}[/tex]

Multiply the top and bottom of the first fraction by 3 and the second one by 4[tex]\frac{3*3}{4*3} -\frac{1*4}{3*4} = \frac{9}{12} -\frac{4}{12}[/tex]

Now just substract

9 - 4 = 5  ==>  [tex]\frac{9}{12} -\frac{4}{12} = \frac{5}{12}[/tex]

Find the volume of the cone.
13 cm
r= 9 cm
V = [?] cm3
Round to the nearest tenth.

Answers

DONT GO TO THOSE LINKS

Answer:

1103.1 is the answer

Step-by-step explanation:

Please help me with this and I will mark brainliest.

Answers

Bottom = 2 x 4 x 3 = 24 cubic meters

Top = 2 x 2 x 3 = 12 cubic meters

24-12=12

The bottom is 12 cubic meters larger

Here is a picture of me!

Answers

Answer:

where's the pic?

Step-by-step explanation:

40. Find UW.
T
6
5
U +-
The measure of UW is
type your answer...

Answers

Answer:

9

Step-by-step explanation:

UT^2 = UV * UW

6^2 = (x - 7)(x - 7 + 5)

36 = (x - 7)(x - 2)

36 = x^2 - 2x - 7x + 14

x^2 - 9x - 22 = 0

(x - 11)(x + 2) = 0

x - 11 = 0  or  x + 2 = 0

x = 11

UW = x - 7 + 5

UW = 11 - 7 + 5

UW = 9

What is the contrapositive of the following conditional? If a number is divisible by 10, then it is divisible by 5.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: No because that is not always true.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?​

Answers

53000/1.1=RM 48182

Thank you hope this helps

Answer:

RM 49090.9090

About $11,857.71 USD

Step-by-step explanation:

RM is Malaysian Ringgit

[tex]org \: amount \: = \frac{current \: amount}{multiplier} \\ increase \:by \:10 \: percent \\ 100 \: percent \: + \: 10 \: percent \: = 110 \: percent \\ 110 \: percent \: = 1.10 \\ org \: amount \: = \frac{54000}{1.10} = 49090.9090[/tex]

Brendan's older sisters, Angie and Alexa, are twins. For their graduation, he made each of them a bouquet of flowers. For Angie's bouquet, he used 6 lilies and 12 daisies. For Alexa's bouquet, he used 4 lilies and 14 daisies. Which bouquet had a lower ratio of lilies to daisies?

Answers

Answer:

Alexa's bouquet had a lower ratio.

Step-by-step explanation:

This is hard for me but easy for you so what’s the answer ?

Answers

Step-by-step explanation:

112=35+d

112-35=d

d=77

The circumference of a circle is 7π in. Find its radius, in inches.

Answers

Answer:

3.5 in

Step-by-step explanation:

Circumference = 2π(radius)

7π = 2π (radius)

7π/2π = radius

Pi in numerator and denominator cancel each other.

7/2  = radius

3.2 in = radius

Answer:

[tex] \bf \huge \: 11 \: inches.[/tex]

Step-by-step explanation:

Given :

The circumference of a circle is 7π in.

to find :

Find its radius, in inches.

formula used :

r = c/2

where,

r = radius c = circumference

explanation :

⟼ r = c/2

⟼ r = 7×22÷7/2 in

⟼ r = 22/2 in

⟼ r = 11 in.

Hence, radius is 11 inches.


[tex]3 \sqrt{12} [/tex]

Answers

Answer:

[tex]3 \sqrt{12}

3 Square root of (4×3)

3square root of (2²×3)

(3×2)Square root of 3

=6 square root 3

write the log equation as an exponential equation

Answers

10 and 3/2 as exponents = x hope this helps!!!

10 POINTS PLEASE HELP DUE SOON

Answers

Answer:

10.3

Step-by-step explanation:

Answer:

4+6.3=10.3

Step-by-step explanation:

BD=ED=1/2*BD=3

5^2-3^2=4^2; EC=4

7^2-3^2=[tex]\sqrt{40}[/tex]≈6.3

AC=AE+EC=4+6.3=10.3

Marissa claims that stacking 6 blocks with dimensions of One-half times 1 times 1 will give the same volume as stacking 9 blocks with dimensions of One-third times 1 times 1. Which statements about her claim are true? Check all that apply. Six of the one-half cubes would have a volume of 3 cubic units. Nine of the one-third cubes would have a volume of 6 cubic units. Since One-half and One-third do not have common factors, stacks of one-half cubes and stacks of third-cubes could never have the same volume. Three of the one-third cubes will make 1 unit cube. Two of the one-half cubes will make 1 unit cube. Both stacks will have a volume of 3 cubic units.

Answers

Answer:

correct choices:

six of the one-half cubes would have a volume of 3 cubic units.

three of the one-third cubes will make 1 unit cube.

two of the one-half cubes will make 1 unit cube.

both stacks will have a volume of 3 cubic units.

Step-by-step explanation:

Answer:1,4,5,6

Step-by-step explanation:

your welcome

Which equation has a solution of k = 3.5?

Answers

Answer:

an example of an equation?

if you want one step you can try

10k=35

if you want two step

10k-17=18

Step-by-step explanation:

Help me pleaseeee i need to finish

Answers

x = 4
hope all goes well in life :)
have a great day/night/afternoon

Answer:

x=4

Step-by-step explanation:

trust me I got it right

Write an equation to represent the following statement.
you can only use ( -,+,*,x/y)

Answers

Answer:

well I think it's 22-14=x(represent J for X)

22-14=x

x=8

therefore 8is14less than 22

please helpppppppppppppppppppppppp

Answers

Answer:

8 [tex]<[/tex] x [tex]<[/tex] 12

Step-by-step explanation:

Have a nice day!

Write the expression that represents the area of the shaded sector in terms of pie

Answers

Answer:

0.71xπ ft²

Step-by-step explanation:

Area of a sector = (A/360)πr², where A is the angle and r is the radius.

Area = x(1/360)π16²

=(256/360)xπ

=0.71xπ ft²

Answer

Step-by-step explanation:

no clue but I need more points so

which of the points (s,t) is inside the shaded region of the set of inequalities qualities shown below?

Answers

Answer:

Step-by-step explanation:

A looks good

Given that the two triangles below are similar , find the values of g and h

Answers

Answer:

g = 4

h = 4.5

Step-by-step explanation:

The corresponding sides of two similar figures are proportional to each other.

Therefore,

[tex] \frac{g}{3} = \frac{8}{6} = \frac{6}{h} [/tex]

✔️Find g:

[tex] \frac{g}{3} = \frac{8}{6} [/tex]

Cross multiply

g*6 = 8*3

6g = 24

Divide both sides by 6

g = 24/6

g = 4

✔️Find h:

[tex] \frac{8}{6} = \frac{6}{h} [/tex]

Cross multiply

8*h = 6*6

8h = 36

h = 36/8

h = 4.5

How much will be the amount after 29 years to the nearest cent

Answers

P= 7800
R= 6.5
T=29

Interest = 7800 x .065 x 29
Interest = 14,703

14,703 + 7800 = 22,503.00

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00

Answers

Answer:

D

Step-by-step explanation:

At least 30 minutes, so this means 30 minutes and above. Now add the probabilities starting from 30

1/4 + 1/4  + 1/8 + 1/16 = 11/16

Page No
Date:
Convert (1020)5 to base ten numeral

Answers

The answer is 204. Your well

PLS HELP
I need to know is this right?

Answers

Answer:

me and my teacher say yes

Answer:

Yes I think your correct

A thermometer falls from a weather
balloon at a height of 7,744 ft. If the
equation for height as a function of time
is h(t) = -16t2 + initial height wheret is
time in seconds and h(t) is height in feet,
how many seconds will it take for the
thermometer to hit the ground?
[?] seconds

Answers

Answer:

It will take 22 seconds for the thermometer to hit the ground.

Step-by-step explanation:

A thermometer falls from a weather balloon at a height of 7,744 ft.

This means that the initial height is of 7744ft.

h(t) = -16t2 + initial height

So

[tex]h(t) = -16t^2 + 7744[/tex]

How many seconds will it take for the thermometer to hit the ground?

This is t for which [tex]h(t) = 0[/tex]. So

[tex]0 = -16t^2 + 7744[/tex]

[tex]16t^2 = 0 + 7744[/tex]

[tex]t^2 = \frac{7744}{16}[/tex]

[tex]t = \sqrt{\frac{7744}{16}}[/tex]

[tex]t = 22[/tex]

It will take 22 seconds for the thermometer to hit the ground.

On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?

Answers

Answer:

15 cm on the map is equal to 25 miles.

Step-by-step explanation:

Given that,

On a map, 9 cm represents 15 miles.

The distance between two cities is 15 cm. We need to find the distance in miles.

9 cm = 15 miles

[tex]1\ cm=\dfrac{15}{9}\ \miles[/tex]

So, 15 cm is equal to,

[tex]15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles[/tex]

So, 15 cm on the map is equal to 25 miles.

simplify the expression 2c+2+5c​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Simplify the expression: 2c+ 2 + 5c}[/tex]

[tex]\large\text{2c+ 2 + 5c}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{\bf 2c + 5c}\large\text{ + \underline{2}}[/tex]

[tex]\large\text{\bf 2c + 5c = \huge 7c}[/tex]

[tex]\large\text{\underline{2} = \huge \underline{2}}[/tex]

[tex]\large\text{= \bf 7c }\large\text{+ \underline{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 7c + 2}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Question 15 2 points)
The PERIMETER of the rectangle shown is 236 inches. Find the value of x given the dimensions of the rectangle belove.

Answers

There’s not enough information to answer your question.
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