the sum of the reversed number and the original number is 154, find the original number, if the ones digit in it is 2 less than the tens digit

Answers

Answer 1
Answer:  86

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

Explanation:

For the original two digit number, we have:

x = tens digity = units digit (aka ones digit)

The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.

This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:

(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)

This sum is stated to be 154

11(x+y) = 154

x+y = 154/11

x+y = 14

Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x

x+y = 14

x+x-2 = 14 ... replace y with x-2

2x-2 = 14

2x = 14+2

2x = 16

x = 16/2

x = 8 is the tens digit of the original number

y = x-2

y = 8-2

y = 6 is the units digit of the original number

The original number is 10x+y = 10*8+6 = 86

As a check, adding 86+68 = 154 which confirms our answer.


Related Questions

Harold is a delivery truck driver. He put 578.25 miles on his truck during the first week of the month. He drove only 412.79 miles in the second week. How many more miles did he drive the first week than the second week?

Answers

Answer: Harold drove 165.46 more miles in the first week, then he did in the second.

Step-by-step explanation:

This is simple elementary school subtraction. In the first week of the month, he drove 578.25 miles while in the second he only drove 412.79.

You can look up how to do subtraction by hand online, but after calculating the equation:

[tex]578.25-412.79[/tex], we end up with 165.46.

find the distance between G point a and point H ​

Answers

Answer:

i dont know

Step-by-step explanation:

Sandra has 5/8 of a cup of dog food in her hand and is combining it with food already in the bowl. If there is already 1/4 of a cup in the bowl, how much is there all together

Answers

Answer:

7/8 of a cup of dog food

Step-by-step explanation:

You would have to add 1/4+5/8, which would equal 2/8+5/8, which equals 7/8 of a cup of dog food.

Ally is given three different sums of the same sequence to calculate. If she completes the three problems in order do the sums increase or decrease in value. Why? A) The sums decrease in value because you are subtracting. B) The sums increase in value because even though you are multiplying and adding. There is no subtraction or division. C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multplied so they will increase. D) The sums decrease in value because even though you are increasing the positive number that is being multplied you have to subtract 7 from each answer so they will decrease.

Answers

If Ally is given three different sums of the same sequence to calculate, and she completes the three problems in order C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multiplied so they will increase.

The sums will not decrease in value because there is no subtraction.  They will not increase in value because of multiplication or addition.  The sums will not decrease in value because of the subtraction of 7 from each answer.

Thus, the sums will increase in value because of the increasing positive number that is being multiplied.

Learn more: https://brainly.com/question/22104509

5% of 120 pls help ​

Answers

120 = 100%
Divide both sides by 10 to find 10%
12 = 10%
Divide both sides by 2 to get 5%
6 = 5%
6 is 5% of 120

Help hurry fast find the missing digits

Answers

the first square on top is 6 and the bottom square is 5
Top row is 6
Bottom row is 5

Gordon won the lottery and distributed the prize among his children. Peter received
22% of the prize, Amy received 23% and John and Mary split the rest remaining in
equal parts. If Mary received $14,000, what was the lottery prize worth? Solve the
problem by first formulating an equation(s)/inequality.

Answers

Answer:

x= 14000/0.55

Step-by-step explanation:

X×(1-0.22-0.23)= 14000

X-0.22-0.23x= 14000

0.55=14000

X= 14000/0.55

sorry if it doesn't help and I'm not sure if it's right

Kenny wants to buy 2 kilograms of hamburger buns and 2 kilograms of wheat rolls. How much will he spend? spelt rolls $5.83/kilogram hot dog buns $7.92/kilogram hamburger buns $8.46/kilogram wheat rolls $5.88/kilogram English muffins $5.74/kilogram​

Answers

Tangina mo Bobo mo putangina mo!!

Answer:

hwag naman ganyan lods baka ikaw bb dahil dimo mailagay answer

I don’t understand this

Answers

Answer:

there is no answer without picture

Step-by-step explanation:

sorry cant answer

The y coordinate of the vertex of f (x)=-x^2+8x+7 is f(4)

Answers

Hello there.

To answer this question, we need to remember some properties about the vertex of quadratic functions.

Let [tex]f(x)=ax^2+bx+c,~a\neq0[/tex]. Its vertex can be found on the coordinates [tex](x_v,~y_v)[/tex] such that [tex]x_v=-\dfrac{b}{2a}[/tex] and [tex]y_v=-\dfrac{b^2}{4a}+c[/tex], in which [tex]y_v=f(x_v)[/tex].

Using the coefficients given by the question, we get that:

[tex]x_v=-\dfrac{8}{2\cdot(-1)}\\\\\\ x_v=-\dfrac{8}{-2}\\\\\\ x_v=4[/tex]

Thus, we have:

[tex]y=f(x_v)=f(4)[/tex]

So the statement is true, because the [tex]x[/tex] coordinate of the vertex of the function is equal to [tex]4.~~\checkmark[/tex]

Which of the following sets of ordered pairs represent a function? Check all that are true.​

Answers

Answer:

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

Step-by-step explanation:

So all of them are functions I guess...?

PLEASE HELP a telegraph pole 7.5 metres high is held firm by a wire attached to its top and fixed to the ground 6.4 metres from the foot of the pole. how long is the wire? what is the angle of deviation?

Answers

Answer:

The flagpole is  

4

meters tall.

Explanation:

The wire, the flagpole, and the ground make up the three sides of a triangle.

One angle of this triangle is given as  

45

o

.

The angle of the flagpole with the ground must be  

90

o

.

So the last angle must be  

45

o

.

Because of the right angle  

(

90

o

)

of the flagpole and the ground, this is a  

right triangle

. The wire forms the hypotenuse.

Because both of the other angles are the same (both are  

45

o

), this is an  

isosceles

right triangle (the legs are equal.)

This particular kind of right triangle is called a  

45

45

90

triangle, named for the degrees in its angles.

...

...

...

...

...

...

...

.

. . . . . . . . . . . . . . .

The measurements of these triangles are known by memorization:

The  

45

45

90

isosceles right triangle has these properties:

It forms half a square, cut in half along the diagonal, so it is a

right triangle

.

This diagonal line forms the  

hypotenuse

of the triangle.

The sides  

s

(the legs) are the same as each other, so

it is an  

isosceles right triangle.

The length of the hypotenuse is always  

s

2

Here is a diagram of the  

45

45

90

isosceles right triangle:

Step-by-step explanation:

Provide the reason. for 100 pts

Answers

Answer:

Substitution property of equality

Step-by-step explanation:

m<5=90°

[tex]\\ \sf\longmapsto m<2+m<5=180[/tex]

Substitute m<5

[tex]\\ \sf\longmapsto m<2+90°=180°[/tex]

Answer:

Substitution property of equality

Step-by-step explanation:

¿Cómo puedo encontrar el area total de todas las ventanas en el dibujo?​

Answers

17.3 in sq ☝️ she is right

Lisa is assembling fruit baskets for a large corporate order. She starts with 66 pears and will put 5 pears in each fruit basket. If Lisa assembles gift baskets until she has only 1 pear left, how how many gift baskets can she make?

Answers

Answer:

12 fruit baskets

Step-by-step explanation:

66 / 5 = ?

66 / 5 = 13.2

13.2 - 5 = 12

(12)

Answer:

13

Step-by-step explanation:

66/5 = 13.2

13.2 rounded is 13

+ I did ixl

PLEASE HELP ME

graph the inequality

Answers

Answer:

unfortunatly i need the inequality to graph it

Step-by-step explanation:

I need help thanksss

Answers

Answer:

m<h=59º

Step-by-step explanation:

126=6x-1+17+5x

126=11x+16

126-16=11x

120-10=11x

110=11x

10=x

6(10)-1=59

Answer:

m<H = 59°

Step-by-step explanation:

Use the theorem on the measure of an exterior angle of a triangle.

5x + 17 + 6x - 1 = 126

11x + 16 = 126

11x = 110

x = 10

m<H = 6x - 1

m<H = 6(10) - 1

m<H = 60 - 1

m<H = 59°

HELP HELP HELP
Which statement about proportional relationships is false?
A proportional relationship must graph as a line.
A graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.

Answers

Answer:

here you go

Step-by-step explanation:

the last one is "Each point (or pair) in a proportional relationship must share the same difference."

Answer:

Step-by-step explanation:

Given :  Statement about proportional relationships  

To Find : Which statement is False

Solution:

proportional relationships

y ∝ x

=> y = kx    

Comparing with line line of equation

y = mx + c

m = k  , c = 0

Hence A proportional relationship must graph as a line

TRUE

at x = 0 , y = 0

Hence graph of a proportional relationship must pass through (0, 0).

TRUE

y = kx  

=> y/x = k  hence

Each point (or pair) in a proportional relationship must share the same ratio.

Each point (or pair) in a proportional relationship must share the same difference.

Tolong bantu saya nanti saya bantu kamu kalo bisa

Answers

Answer:

C. -8

Step-by-step explanation:

x≥-48/5; ⇔ x≥-8.8, then

the smallest integer is -8.

when evaluated for x=5 the expression x^2-10/x+5 is equal to?

Answers

Answer:

35

Step-by-step explanation:

Because X=5, the equation is literally just asking 5x5=10. So, following the order of operations, I would do 5x5 first which equals 25 plus 10. Since 25+10=35.  The answer is 35. Hope this helps! :p

can anyone help me please ​

Answers

Step-by-step explanation:

Realize that:

speed = distance / time and thus

time = distance / speed

Then the whole journey of 40/60 hours is the sum of (let's call them t1 and t2)

cycling: t1 = 2/y hours

running: t2 = 4/(y-4) hours

so we must simplify t1+t2=40 minutes (a.k.a. 4/6 hours):

2/y + 4/(y-4) = 4/6

let's multiply the first term by (y-4)/(y-4) and the second term by (y/y):

[tex]\frac{2(y-4)}{y(y-4)} + \frac{4y}{y(y-4)} = \frac46[/tex]

since they now share a common denominator:

[tex]\frac{2(y-4) + 4y}{y(y-4)} = \frac46[/tex]

[tex]\frac{6y-8}{y(y-4)} = \frac46[/tex]

cross-products:

[tex]6 (6y-8) = 4y(y-4)[/tex]

further simplification:

[tex]36y - 48 = 4y^2 - 16y[/tex]

[tex]4y^2 - 52y + 48 = 0[/tex]

[tex]y^2 - 13y + 12 = 0[/tex]

q.e.d.

Consider 3x=y . Complete the table for the equation

Answers

Answer:

x | y

0 | 3

1 | 6

2 | 9

Step-by-step explanation:

Slope of the line that passes through (5,7) and (7,8)

Answers

Answer:

0.5

Step-by-step explanation:

To find the slope, you just have to do (y-y₁) / (x-x₁) where x and y are from the same point and x₁ and y₁ are from the same point. So just substitute in the values to get (7 - 8) / (5 - 7) which is -1 / -2 which is 1/2 or 0.5.

George bought 30 packs of football card store 14 cars in each pack how many cross the gorge by​

Answers

Answer:420

Step-by-step explanation:

Brainlest if it correct

420 I think hopefully I’m right

3t - 17 if t = 100
HELPPPPP

Answers

Answer:

283

Step-by-step explanation:

Plug in 100 for t in the equation.

First multiply 3 by 100 to get 300.

Then do 300-17 to get 283

Answer:

The Answer is 283

Step-by-step explanation:

Substitute t for 100

100*3=300

300-17=283

final Answer: 283

Maggie has $40 to buy a new dress and hair accessory for her school dance the dress she wants cost $35.75 the cost of her hair accessory is $2.80 does Maggie have enough money to purchase for the dress in the hair accessory Explain how can you use estimation to answer this question

Answers

Answer:

Yes Maggie has enough money to purchase the dress and hair accessory.

Step-by-step explanation:

Dress = $35.75

Hair accessory = $2.80

Total amount of money = $40

Does her have enough money?

Total Money in pocket - (Dress cost + hair accessory)

 $40.00 - ($35.75 + 2.80)

  $40.00 - ($36.00 + $3.00)     Round to the nearest dollar

  $40.00 - $39.00 = $1.00

Yes

Mohan opened a Recurring deposit Account in a bank for five year and deposite 100 RS every month. If the rate of interest 6% per annum them how much money will he get after 5 years.​​

Answers

Answer:

☼︎Information Provided:

Mohan opened a Recurring deposit Account in a bank for five years

He deposited Rs.100 every month

Rate of interest is 6% per annum

☼︎What we have to calculate :

How much money will he get after 5 years?

☼︎Using Formulas :

☼︎Maturity value:-

[tex]\boxed{\sf{\longmapsto \: M.V. \: = \: P \times \: n \: + \: I }}[/tex]

☼︎Interest:-

[tex]\boxed{\sf{\longmapsto \: I\: = \: P \times \: \frac{n(n + 1)}{2 \times 12} \: + \: \dfrac{r}{100} }}[/tex]

☼︎In both the formulas,

P is Principal

n is number of months

r is rate of interest

☼︎Performing Calculations :

Finding out the interest by substituting the values in the given formula of calculating the interest~

☼︎Number of months :

☼︎We know that,

1 year = 12 months

5 years = 12 × 5 months

5 years = 60 months

☼︎We have :

P is 100

r is 6%

n is 60

☼︎Putting the values :

[tex] \: \tt { \longmapsto \: I \ \: = \: 100 \times \dfrac{60(60 + 1)}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]

[tex]\: \sf{I \: = \:100 \times \dfrac{60(61)}{2 \times 12} \: \times \: \dfrac{6}{100} } [/tex]

[tex]\: \sf{I \: = \:100 \times \dfrac{60 \times 61}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]

[tex] \: \sf{I \: = \: 100 \times \dfrac{3660}{24} \: \times \: \dfrac{6}{100} }[/tex]

[tex] \: \sf{I \: = \: \dfrac{3660}{ \cancel{24}} \: \times \: \cancel {6}}:⟼I=243660×6[/tex]

[tex]: \longmapsto \: \sf{I \: = \: \dfrac{3660}{4}}[/tex]

[tex]: \longmapsto \: \sf{I \: = \: \cancel\dfrac{3660}{4}}[/tex]

[tex]: \longmapsto \: \boxed{ \mathfrak \green{{I \: = \: 915} }}[/tex]

☼︎Now, putting the values in formula of M.V. :

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

[tex]... \: \sf{\longmapsto \: M.V. \: = \: 100 \: \times \: 60 + \: 915}[/tex]

[tex] ... \sf{ \longmapsto\: M.V. \: = \: 6000 + \: 915}:[/tex]

[tex]... \longmapsto \: \boxed{\pink{\sf{M.V. \: = \mathfrak {6915}}}}:[/tex]

[tex]\underline{\bf{Hence \: he \: would \: get \: Rs.6915 \: after \: 5 \: years}}[/tex]

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

☼︎Additional Information

Interest (I) received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is

[tex]\bold{ \red{\boxed{\text{I} = \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}}[/tex]

Maturity Value (MV)

 Received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is also given by

[tex]\begin{gathered} \pink{\boxed{\rm{ MV \: = \: \text{P} \: + \: I \: }}} \\ \end{gathered}[/tex]

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

Answer

Rs.6915after5years

The division problem below is being solved using long division. Use what you know about division to figure out the mystery divisor, then describe how you found it.

Answers

The mystery divisor to the question based on the information given is 18.

How to determine the divisor?

Dividing the first dividend 4 by the unknown divisor x and getting the first number 2 in the quotient and when the quotient 2 is multiplied by the divisor gives 36, so definitely, 4 cannot be used

Using 40 as the dividend, 40 divided by the divisor x gives 2 as the first quotient. And the first quotient 2 multiplied by the divisor x gives 36.

And to interpret this, 2x=36

Dividing through by 2x=36

x = 36/2

x = 18

So, the divisor is 18

Read more about Division on:

https://brainly.com/question/28119824

#SPJ1

If sine
= 3/5 then tane =

Answers

According to the question

sinA =  

         Method : 1( By Theorem )

sinA =  

Let,

     Height from angle A = 3 x

     Hypotenuse of triangle = 5 x

        By Pythagoras Theorem

Hypotenuse^2 = height^2 + base^2

( 5 x )^2 = ( 3 x )^2 + ( base )^2

25x^2 - 3x^2 = ( base )^2

16x^2 = base^2

( 4x )^2 = ( base )^2

4x = base

Therefore, cosA =  

                          =

                          =  

And, tanA =  

     

                =  

                =  

               Method : 2 ( Identities )

We know, sin^2 A + cos^2 A = 1

          Substituting value,

( 3 / 5 )^2 + cos^2 A = 1

cos^2 A = 1 - 9 / 25

cos^2 A = ( 25 - 9 ) / 25

cos^2 A = 16 / 25

cos^2 A = ( 4 / 5 )^2

cos A = 4 / 5

tanA = sinA / cosA

       = ( 3 / 5 ) / (  4 / 5 )

       =3/4


someone knows what the answer to this question is, help me please

Answers

Answer:

x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°

Step-by-step explanation:

Given the quadrilateral in which the sum of its four angles is 360°.

We can establish the following formula to find the value of x, and determine the measures of each angle:

x° + 2x° + 3x° + 4x° = 360°

Combine like terms:

10x° = 360°

Divide both sides by 10 to solve for x:

[tex]\mathsf{\frac{10x^{\circ}}{10}\:=\: \frac{360^{\circ}}{10}}[/tex]

x = 36°

Substitute the value of x into each unknown angle measures:

x = 36°

2x° = 2(36)° = 72°

3x° = 3(36)° = 108°

4x° = 4(36)° = 144°

Verify whether the sum of the previously unknown angle measures equal 360°:

x° + 2x° + 3x° + 4x° = 360°

36° + 72° + 108° + 144° = 360°

360° = 360° (True statement).

Therefore, the following are the angle measures of the given quadrilateral: x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°

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