The units pf the digits of a two digits numeral is 8 if the digits are reversed the new number is 18 greater than the oringal number fund the oringal numeral

Answers

Answer 1

complete question:

The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?

Answer:

The original number is 10a + b  = 10 × 3 + 5  = 35

Step-by-step explanation:

Let

the number = ab

a occupies the tens place while b occupies the unit place. Therefore,

10a + b

The sum of the digits of two-digits numeral

a + b = 8..........(i)

If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.

Therefore,

10b + a = 18 + 10a + b

10b - b + a - 10a = 18

9b - 9a = 18

divide both sides by 9

b - a = 2...............(ii)

a + b = 8..........(i)

b - a = 2...............(ii)

b = 2 + a from equation (ii)

Insert the value of b in equation (i)

a + (2 + a) = 8

2a + 2 = 8

2a = 6

a = 6/2

a = 3

Insert the value of a in equation(ii)

b - 3 = 2

b = 2 + 3

b = 5

The original number is 10a + b  = 10 × 3 + 5  = 35


Related Questions

Solve for h.

–2 − 10h = –11h − 20

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

-2 - 10h = -11h - 20

+ 2

- 10h = -11h - 18

+ 11h

h = -18

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Step-by-step explanation:

-2-10h=-11-20, take -10 to the other side.

-2= -1-20, take 20 to the other side.

-18=-1h

-ve and -ve is pos.

h=18

positive 18

To solve for 10t = -30 + 5t, first subtract ?
from both sides.

Answers

Answer:

-6

Step-by-step explanation:

10t = -30 + 5t, Inverse operations

'5t -5t. Subtract 5t from both sides

5t = -30. Divide by 5 both sides

/5. /5

t = -6

At their​ family's pizzeria, Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that. Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. If the pizzeria is open for 6​ hours, how many pizzas will they make in​ all?

Answers

Answer:

47 pizzas

Step-by-step explanation:

Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.

If the number of hours after the first hour  is represented as x, then the number of pizzas he makes after x hours is:

6 + 3x

Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:

11 + 3x

The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.

This means that:

x = 5

The total amount of pizzas that Dave and Lauren make is:

6 + 3x + 11 + 3x

=> 17 + 6x

Therefore, the total amount of pizza they make 5 hours after the first hour is:

17 + 6(5) = 17 + 30 = 47 pizzas

the graph shows the function f(x)=2^x what is the value of x when f(x)=4

Answers

Answer:

2

Step-by-step explanation:

the ratio of boys to girls in a class is 7:5 there are36
students in the class how many students are girls

Answers

Answer:

There are 15 girls

Step-by-step explanation:

Look at the picture

There are 15 girls that’s the answere

what is char antonym?​

Answers

Answer:

Antonyms. achromatic exhale spiny-finned fish extinguish hypopigmentation. Etymology.

Step-by-step explanation:

none but google

Answer:

If you mean char = a charred substance then you could have cool, extinguish, put out, smother, stifle or subdue.

Step-by-step explanation:

Google... everything's google

explain how you found the equation that represents aunt andreas decorating plans from the table

Answers

Answer:

Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.!!!!!!!!!

licze jako najlepsza odpoiedz!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Sample Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Step-by-step explanation:

a ferris wheel rotates 9pi/8 radians prior to making a stop the total height of the ferris wheel is 246 ft how far around did the ferris wheel travel round to the nearest whole foot

Answers

Answer:

ferris wheel travel approx = 434.72 ft

Step-by-step explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel =  246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter    ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle   .....................2

put here value and we get

arc length  = 123 × [tex]\frac{9\pi }{8}[/tex]

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft

I need help with this asap please!!!

Answers

Answer:

54

Step-by-step explanation:

54x

what is the change of base formula

Answers

This is the formula you are looking for Logb x = Loga x/Loga b

What is the product? 2y/y-13 * 4y-12/2y+6

Answers

Answer:

[tex]=\frac{4y}{y+3}[/tex]

Step-by-step explanation:

[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]

Answer:

12/6

Step-by-step explanation:

If you want to buy an item in a store that cost $43 and is on sale for 40% off, then how much would the item actually cost you after the discount ? round to the nearest cent

Answers

Answer:

$25.80

Step-by-step explanation:

40% = 40/ 100 = 4/10 = 0,4

There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!

So you need to subtract the 40%, so (1 - 0.4 =) 0.6

The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).

The amount the item actually cost after the discount is $25.80

Area of triangles and trapezoids

Answers

Answer:

bh/2 and (top base+bottom base)/2

Step-by-step explanation:

first one for triangles and second one for trapezoids

I hope i'm right

Grayson is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $130. Grayson will be earning a base salary of $58 per month from the gym, plus an additional $12 for every class he teaches. If Grayson teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How much will Grayson's expenses and earnings be? How many classes will that take?

Answers

Answer:

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Lamar has been given a list of 6 bands and asked to place a vote. His vote must have the names of his favorite and second favorite bands from the list. How many different votes are possible?

Answers

Answer:

30

He has 6 options for 1st place and 5 for second place. Multiply the two and you get 30

Hope this helps :)

A line has a slope of 5 and passes through (4,2). Write an equation to represent this.


A) y=18x-5

B) y=3x-15

C) y=5x-18

D) y=5 +2x

Answers

Answer:

C

Step-by-step explanation:

Aston left his house and ran 4 miles East and then 3 miles north. He then took the diagonal path back home. If he burned 105 calories every mile that he ran, how many total calories did burn on his run

Answers

Answer:

he do be running tho

Answer:

He burned a total of 735 calories.

Step-by-step explanation:

4 miles + 3 miles = 7 miles

105 calories/1 mile = 7 miles/ ? calories

105 calories times 7= 735 calories

1/16 x 6 then round to 2 decimal places.

Answers

Answer:

.38

Step-by-step explanation:

1/16 * 6 = 6/16

Divide the top and bottom by 2

3/8

.375

Round to 2 decimal places

.38

Answer: 0.38

Reason: Trust me


Fred's birthday party will be in a room at the community center. The room can hold 75 people. He wants to use tables that seat 5 people each. Which inequality can be used to find the maximum number of tables, t, that Fred can use?

Answers

Answer:

75>5t

Step-by-step explanation:

Here is the information given:

75 is the maximum

5 per table

t is table

So, 75 is greater than or equal to the number of tables.

If 5 is the max seated at a table we know that it will be 5 people per table or 5t

Which gives us 75>5t

Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.

Hope this helps!

Only do question 8

50 points

Topic: Percentage

Answers

Answer:

see below

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

can Julie win if she reads 8 books

Answers

Answer:

Yes, she can.

Step-by-step explanation:

12 < 5+8

Answer:

Step-by-step explanation:

No, she can't

Julie can't win because she has to read more than Emad so she has to read 13 books but she reads 8 books so she can't win

I hope it'll help you much

Thank you for asking

Fiona found 47 pens for $3.00 . Please help Fiona by figuring out the ratio. (round to 2 decimal places)

Answers

Answer:

0.06

Step-by-step explanation:

3/47

Answer

$15.67

trust me I think this is it with the info I have got.

info=information true fact

A triangle has vertices at A(-2,4), B(-2,8), and C(6,4). If A’ has coordinates of (-0.25,0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply

Answers

Answer:

Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.

-----

x-coordinate of B is -2, y-coordinate of B is 8

x-coordinate of B'

y-coordinate of B'

So

-----

x-coordinate of C is 6 and y-coordinate of C is 4

x-coordinate of C'

y-coordinate of C'

So

Conclusion:

The below are the TRUE statements:

(i) The coordinates of C' are (0.75, 0.5)

(ii) The scale factor is 1/8

(iii) The coordinates of B' are (–0.25, 1).

Read more on Brainly.com - https://brainly.com/question/10679054#readmore

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got it correct

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statement is true?

Answers

Answer:

Step-by-step explanation:

Which statements are true? Check all that apply.

The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.

Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.

The probability of choosing two diamonds and three hearts = [tex]\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086[/tex]  so the third one is not true.

The probability of choosing five spades = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005. The fourth statement is not true

The probability of choosing five clubs  = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005, the fifth one is.

So the answer is the first and fifth statement.

The probability of selecting a combination of cards is given by the ratio of

the ways of selecting the cards to the number of possible outcomes.

The true statements are;

The total number possible outcomes is  ₅₂C₅.The probability of choosing five clubs is roughly 0.0005.

Reasons:

First statement;

Number of cards in the deck of playing cards = 52

The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;

[tex]\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960[/tex]

Therefore;

The statement; the total number possible outcomes is  ₅₂C₅ is true

Third statement;

The number of ways of choosing two diamonds is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78[/tex]

The number of ways of choosing three hearts is found as follows;

[tex]\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286[/tex]

The number of ways of choosing two diamonds and three hearts is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858[/tex]

Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089[/tex]

Fourth  statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05[/tex]

Fifth statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

The statement, the probability of choosing five clubs is roughly 0.0005 is true.

The possible question options in the question are;

The total possible outcomes is given by ₅₂C₅

The total possible outcomes is given by ₅₂P₅

Probability of choosing 3 hearts and 2 diamonds is 0.089

The likelihood of choosing 5 spades is approximately 0.05

The likelihood of choosing 5 clubs is approximately 0.0005

Learn more about combinations and probability here:

https://brainly.com/question/25718474

Math lovers i need your help​

Answers

Part (i)

Compute the slope of the line through the two points (0,0) and (4,8)

m = (y2 - y1)/(x2 - x1)

m = (8-0)/(4-0)

m = 8/4

m = 2

The slope of this line is 2, so,

velocity = 2 m/s

==============================================

Part (ii)

The two points we're working with are (4,8) and (6,8). The slope is...

m = (y2 - y1)/(x2 - x1)

m = (8-8)/(6-4)

m = 0/2

m = 0

Horizontal lines always have a slope of 0 to indicate no change in height.

The velocity is 0 m/s.

==============================================

Part (iii)

Same idea as the previous parts. The endpoints are (6,8) and (9,14)

m = (y2 - y1)/(x2 - x1)

m = (14-8)/(9-6)

m = 6/3

m = 2

This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.

velocity = 2 m/s

==============================================

Part (iv)

(a) The average velocity from 0 to 4 seconds is the exact same as the velocity we computed earlier in part (i). The answer is 2 m/s(b) We travel 8 meters in 6 seconds, so the average velocity is 8/6 = 4/3 = 1.33 m/s approximately. You can use the slope formula for the endpoints (0,0) and (6,8) to get the same result.(c) The average velocity is 14/9 = 1.56 m/s approximately because we travel 14 meters in 9 seconds. You can use the slope formula for the endpoints (0,0) and (9,14).

As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.

Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.

Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x

Answers

Answer:

The solutions are x = -6 or x = +2

Step-by-step explanation:

In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero

Mathematically, we proceed as follows;

(x +2)^2 -16 = 0

This can be rewritten as;

(x + 2)^2 - 4^2 = 0

we can then proceed to use the difference of two squares to finish this off

Thus, we have

(x + 2 + 4)(x + 2 - 4) = 0

(x + 6)(x-2) = 0

X + 6 = 0 or x-2 = 0

x = -6 or x = +2

You are exploring a career in nursing in the state of MA. The average hourly wage for RN is $33.37. You are planning to work 40 regular hours +8 hours overtime at time and a half every week. What were your weekly earnings be?

Answers

Answer:

$1,735.24

Step-by-step explanation:

"at time and a half" basically means 1.5

So, the overtime would be 1.5 times the normal hourly wage.

40 regular hours * $33.37 = $1334.8

8 overtime hours * (1.5 * $33.37) = $400.44

$1334.8 + $400.44 = $1735.24

So, the total weekly pay is $1735.24.

What is the length of the altitude of the equilateral triangle below?

Answers

Answer:

D  5sqrt(3)

Step-by-step explanation:

We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base

a^2+b^2 = c^2

5^2 + a^2 = 10^2

25+a^2 = 100

a^2 =100-25

a^2 = 75

Taking the square root of each side

a = sqrt(75)

a = sqrt(25)sqrt(3)

a = 5sqrt(3)

Answer:

Step-by-step explanation:

D

A rectangular prism has a length of 4.5 cm, a width of
10 cm, and a height of 2.5 cm. What is the volume of
the prism?
11.25 cm
17 cm
112.5 cm3
1,125 cm3
2.5 cm
10 cm
4.5 cm

Answers

Answer:112.5

Step-by-step explanation: multiply then all together length then width them height

Answer:

112.5

Step-by-step explanation:

i did the assignment

Correct answer only please!

To the nearest cent, how much will she have in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: 7633.31

Work Shown:

B = p*(1+r)^t

B = 4530*(1+0.11)^5

B = 7,633.313442603 approximately

B = 7633.31                  round to the nearest cent

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