The sum of the digits of a given two digits the new numbers is 5 .if the digits are reversed, the new number is reduced by 27 . find the given number ​

Answers

Answer 1

Answer:. The numbers are 41 and 14

Step-by-step explanation: X and Y represent the digits. In the Tens place, the digit has 10× its base value. Therefore we can set up equations to model the information given:

10x+y = 10y + x +27

X + Y = 5

y =5-x rewritten to substitute for y

10x + 5-x = 10(5-x)+x +27

Distribute and then combine like terms:

9x +5 = 50 - 9x +27

Add 9x to both sides; subtract 5 from both sides.

9x +9x = 50+27-5

18x = 72 Combine like terms. Then divide both sides to solve for x.

x = 4

4+y=5 Substitute 4 for x; solve for y.

y=1

Substitute values of x and Y into the original equation and check.

40 +1 = 10 +4 + 27

41 = 14+ 27

True! 41=41

The numbers are 41 and 14.


Related Questions

A pickup truck travels 45 Mi on 2 and 1/3 gallons and goes19 miles on one gallon of gas. At that rate how far will it travel on 4 1/4 gallons of gas?

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so 45 and 88 is the next number to divided by 8

Aspen added 14 to the product of 224 and 16 . What is the sum

Answers

Answer:

3,588

Step-by-step explanation:

224 x 16 + 14

= 3,588

hope this helps and have a good day!

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

1-yes rhombus

2-no rhombus

3-yes rhombus

Y'all I kinda need help in this problem​

Answers

Answer:

4

Step-by-step explanation:

15km in 1 hour

60 minutes in 1 hour

60 min/15km

4 min per km

select the three objectives mosquitoes hovered around the small puddle of still murky water in the background ​

Answers

Answer:

Step-by-step explanation:

2x-6> -16 and 3x-10≤8 Graph the solution to this inequality on the number line.

Answers

Answer:

Go to desmos. com and you can graph and see the points of it

Step-by-step explanation:

Desmos. com <----- It's going to be your friend dude

Math10. com

Janice wants to paint this figure on her wall in her bedroom. If paint cost $3.89 per square unit, how much will it cost to paint this figure on her wall?

Answers

Answer:we need to know the size of the wall

Step-by-step explanation:

Find the difference 0.2 - 0.05 =

Answers

Answer:

0.2-0.05=0.15

Step-by-step explanation:

0.2=0.20

0.20-0.05=0.15

The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.

To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:

0.2 - 0.05 = 0.15

The difference between 0.2 and 0.05 is 0.15.

When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.

Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.

Therefore, the difference in the tenth place is 0.

Since there are no other place values to subtract, the resulting difference is 0.15.

Learn more about subtraction here:

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Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain

Answers

Answer:

a)16.32 rounded to the nearest whole number is 16 feet per second? True

b) 16.32 rounded to the nearest tenth is 16.3.? True

c) 16.32 rounded to the nearest hundredth is 16.33. ? False

Step-by-step explanation:

Select True or False for each statement.

a) 16.32 rounded to the nearest whole number is 16 feet per second. ?

16.32 to nearest whole number = 16 feet per second. This statement above is true.

b) 16.32 rounded to the nearest tenth is 16.3. ?

The number in the tenth position is 3, the number after it is 2.

Hence, 16.32 to the nearest tenth = 16.3

Hence, the above statement is true.

c) 16.32 rounded to the nearest hundredth is 16.33. ?

The number in the hundredth position is 2. There is no number after 2.

Hence,

16.32 to the nearest hundredth is 16.32

Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.

Khan Academy question thanks for whoever answers

Answers

Answer:

A.

Step-by-step explanation:

Considering it is above sea level it should be positive 7 1/4

help help help PLS TY

Answers

I think it's 4, 2, 3, 1

What is the solution to this equation?

Answers

Answer:

x = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

4x - 6 = 10x - 3 ( subtract 10x from both sides )

- 6x - 6 = - 3 ( add 6 to both sides )

- 6x = 3 ( divide both sides by - 6 )

x = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]

The answer will be x=-1/2

Please help me I give Branliest
Jessica is buying chicken wings and hamburger meat for a party. One bag of chicken wings costs $6. Hamburger meat costs $3 per pound. She must spend no more than $30. She also knows that she needs to buy at least 5 pounds of hamburger meat. Which system of inequalities can be used to determine the number of bags of chicken wings, x, and the number of pounds of hamburger meat, y, that Jessica should buy?(

Answers

Answer:

6x+3y≤30

6x+3y≤30=x

x≥5

Step-by-step explanation:

Jose has $800 in his checking account you withdrawals 40 per week for groceries write an equation that Jose can use to find out how many weeks it takes for him to have the remaining balance of $400

Answers

40 times 10 equals 400. 800-400= 400 , so it would take him 10 weeks to spend 400 dollars on groceries .

What is g(-5) equal to?

Answers

Answer:

-5g

Step-by-step explanation:

Multiply -5 and g.

Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!

Answers

Answer:

3 and 7

Step-by-step explanation:

A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;

a). With replacement
i). Both are red
ii). One is black and the other yellow

b). Without replacement
i). Both are red
ii). One is black and the other yellow ​

Answers

Answer:

a)i)1/16

ii)5/36

b)i)5/96

ii)20/69

Step-by-step explanation:

a) i) 6/24 =1/4

1/4*1/4=1/16

a)ii)8/24=1/3    10/24=5/12

1/3*5/12=5/36

b)i) 5/24*1/4=5/96

ii) 1/3*10/23=10/69

5/12*8/23=40/276=20/138=10/69

10/69+10/69=20/69

The probabilities are; 1/16, 5/36, 5/96 and 20/69

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.

a) With replacement:

i) The probability that both will be red =

6/24 =1/4

1/4x1/4=1/16

ii) The probability of getting one black and a yellow =

8/24=1/3    10/24=5/12

1/3x5/12=5/36

b) Without replacement;

i) The probability of getting both red =

5/24x1/4 = 5/96

ii) The probability of getting one black and a yellow =

1/3x10/23 = 10/69

5/12x8/23 = 40/276 = 20/138 = 10/69

10/69+10/69 = 20/69

Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69

For more references on probability, click;

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(2x10^5) divided by (4x10^2)

Answers

Answer:

[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]

Step-by-step explanation:

[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]

Two sets are shown in the Venn diagram. Set N represents the natural numbers, and Set W represents the whole
numbers. in which set does the values -45 belong?

Answers

Answer:

In my opinion this is the whole w

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

both

a car travels 100 miles in 4 hours. what is its average speed​

Answers

Answer:

[tex]Speed \: of \: the \: car \: is \: = \frac{100}{4} = 25 \: miles {(hours)}^{ - 1} [/tex]

Find the value of x. ​

Answers

The triangle is equilateral, because all three angles will measure 60 degrees. This means that all three sides are equal, so:

7x + 19 = 11x - 89

4x = 108

x = 27

two more than 16 times a number is the same as 21 less than the product of -7 and the number

Answers

Answer:

-1

Step-by-step explanation:

Let the number be x, and we have equation:

16x + 2 = -7x - 2116x + 7x = - 21 - 223x = - 23x = -1

The number is -1

Answer:

-1

Step-by-step explanation:

"a number" = x

-- "Two more than 16 times a number." | 16 times a number means "16x" | Two more than just means add 2.

(16x + 2)

-- "Is the same as" means equals.

(16x + 2) =

-- 21 less than the product of -7 and the number | The product of -7 and the number means "-7x" | 21 less than means subtract 21.

(16x + 2) = (-7x - 21)

-- solve for x.

(16x + 7x) = (-21 - 2)

-- combine like terms.

23x = -23

-- Divide.

x = -1

solve: logx 64 = 3. Which is an equivalent equation?

Answers

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

2

+

2

i

3

,

2

2

i

3

Step-by-step explanation:

Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?

The older sibling will catch the younger sibling after ? second(s) and running ? feet.

Answers

Answer:

it would take approximately 8 seconds

Step-by-step explanation:

7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88

A bicycle shop advertised all mountain bikes priced at a 1/3
discount. If the original price is $432, what is the sales
price?

Answers

Answer:

$288

Step-by-step explanation:

1/3 of a discount is = 2/3 of price

Multiply 432 by 2/3 and get 288.

Answer:

$288

Step-by-step explanation:

A 1/3 discount is .3333333... percent and so you simplify to .33 or 33% of a discount.

Multiply 432x.33 = 144

Subtract 432-144 to get 288 as you answer

How to do these math problems, due tomorrow and I need them done asap, really stressed

Answers

PLEASE ATTACH A FILE THERE IS NOTHING TO LOOK AT aabdnsks it wont send akak
Answer:

You forgot to attach an image

Explanation:

Solve the following expression when
a = 2 and d = 5
d2 + 3a + 6 + a

Answers

Answer:

given d=5 and a=2

5x2+ 3x2+6+2

10+6+6+2

=24

Katelyn had $132. She spent $28 buying gifts for her friends and $32 on books. Estimate how much money she has left by first rounding all numbers to the nearest ten and then subtracting.

Answers

Answer:

Pretty sure it's $70.  

Step-by-step explanation:

The first thing you need to do is round to the nearest ten. To do that you see if $28 is closer to $20 or $30. And it is closer to $30. The see if $32 is closer to $30 or $40. And it's closer to $30. Then you subtract $132 minus $30 minus $30. And you get $72. If they are asking what the nearest ten is for the answer, then it would be $70.

Answer:

70

Step-by-step explanation:

Please help me I need the correct answer!!

Answers

Answer: ok so i think the answer is 4.2 or 5.2 if im wrong then well sorry

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

In the diagram if AE = AB, find the area shaded.

Answers

Answer:

Area shaded = 60 [tex]cm^{2}[/tex].

Step-by-step explanation:

From the given diagram,

Area shaded = Area of the trapezoid EBCD

Given that: AE = [tex]\frac{1}{3}[/tex]AB

                        =  [tex]\frac{1}{3}[/tex] x 12    (∵ AB = CD = 12 cm)

                        = 4 cm

                  AE = 4 cm,

Thus,

EB = (12 - 4) cm

    = 8 cm

EB = 8 cm

Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD

                     =  [tex]\frac{1}{2}[/tex] (8 + 12) x 6

                     = (20) x 3

                     = 60

Area shaded = 60 [tex]cm^{2}[/tex]

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