A two digit number is such that the one's digit is four more than the tens digit and the sum of the digits is 14. find the number??​

Answers

Answer 1

Answer:

Wyzant

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Chi Y. asked • 07/27/18

The sum of the digits of a 2-digit number is 14. If it’s digit are reversed, the original number is increased by 18. What is the number?

There is no format. I just the answer ASAP.

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Andy C. answered • 07/27/18

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Here is the algebraic solution:

T is the tens digit

O is the ones digit

T+O = 14

So O = 14 - T <---- this is the first equation

The original number is 10*T + O

If the digits are reversed the original number is increased by 18.

The number if the digits are reversed is:

10*O + T = 10*T + O + 18

10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold

140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side

140 - 9T = 9T + 32

140 = 9T + 9T + 32

140 - 32 = 9T + 9T

108 = 18T

108/18 = T

T= 6

THe tens digit is 6.

The ones digit must be 8.

Reversing 86 - 68 = 18

The original number is 68.


Related Questions

Find the percentage of 40% of 55:

Answers

Answer:

40 percent of 55 is 22

I hope this helps you!

Answer:

Step-by-step explanation:

The 40% goes with the 55. The equation looks like

Answer: 40/100 * 55

Answer: 22

10. 63 + 9(6x - 5).= 6(5x + 8) - 6x
Is it no solution/many solutions/ or one solution

Answers

Answer:

  one solution: x=1

Answer:

one solution

Step-by-step explanation:

10.63 + 9(6x - 5) = 6(5x + 8) - 6x

10. 63 + 54x - 45 = 30x + 48 - 6x

-34.37 + 54x = 24x + 48

 54x = 24x + 48 + 34.37

 54x = 24x + 82.37

54x -24x = 82.37

30x = 82.37

   x = 2.745

Answer for a cookie
……,,

Answers

Answer:

the graph is in the image above

it is not linear since it has a x^2 term

x y

1 -3

2 3

3 13

4 27

5 45

Kendra needs 31 yards of fabric to make her curtains for her room. How many inches of fabric does she need?
inches

Answers

Answer:

1116

Step-by-step explanation:

2. Circle whether each sequence is arithmetic. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. (12 points) 52,40, 28,16 1 3 5 7 9 4 4 4 4 4 ARITHMETIC? YES or NO ARITHMETIC? YES or NO Recursive formula: fcn-an-it Recursive fin-Anlt2 ) + Explicit f(n)-521261-0) Formula flw 42 : 2,4,8,16, 32 Explicit fine : 1.1, 1.5, 1.9, 2.3, 2.7 ARITHMETIC? YES or NO ARITHMETIC? YES or NO Recursive formula: fino-antt Recursive (n)-conte an Explicit Formula: fonla Explicit Formula: fine​

Answers

Answer:

For the first it's not arithmetic the next one is arithmetic

Step-by-step explanation:

the recursive rule is f(1)=1.1,f(n)=f(n-1)+0.4

the explecit is f(n)=1.1+0.4(n-1)

b - 7/4 = -2/3\
solve for b

Answers

Answer:

b = 13/12

Step-by-step explanation:

b - 7/4 = -2/3

~Find common denominators

b - 21/12 = -8/12

~Add 21/12 to both sides

b = 13/12

Best of Luck!



How do you convert 15 feet to centimeters?

Answers

Answer:

Multiply 15 feet by 12 to convert the 15 feet into 180 inches. Then, convert those inches into centimeters by multiplying 180 into 2.54. The result should be 457.2. Another way to do it is by multiplying 15 feet by 30.48 to get your answer directly.

Multipy 15. Feet by centemeters

Thomas drove 230 miles in 4 hours. What is the ratio of miles to hour in lowest terms? 230-4 4.230 115:2 2:115 2​

Answers

Answer:

the ratio is

miles/hour

= 230/4

= 115/2

so the ratio is 115:2

Janice went shopping at the mall. At the first store, she spent half her money. At the second store, she spent $2.50. If she had $6.75 after the second store, how many dollars did she start with?

Answers

6.75+2.50=9.25

9.25(2)=18.5

answer: $18.50

The amount in dollars Janice started with is $18.50.

How to determine the amount used to start

Let's break down the information given in the problem and set up an equation to solve for the amount of money Janice started with.

At the first store, Janice spent half her money.

At the second store, she spent $2.50.

After the second store, she had $6.75 left.

Let "x" be the amount of money Janice started with.

At the first store, she spent half her money: She spent 0.5x.

At the second store, she spent $2.50.

After the second store, she had $6.75 left.

We can set up an equation based on these steps:

Initial money - Money spent at the first store - Money spent at the second store = Remaining money

x - 0.5x - 2.5 = 6.75

Combine the terms with "x":

0.5x - 2.5 = 6.75

Add 2.5 to both sides:

0.5x = 9.25

Now, divide both sides by 0.5 to solve for "x":

x = 9.25 / 0.5 = 18.5

So, Janice started with $18.50.

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Drag each statement to show whether it is true, based on the graph. In 25 weeks, the stalk grew to a height of 4 inches. The stalk grew to a height of 25 inches in 4 weeks

Answers

Answer:

Frost 3 and sec 1 and third 22 and fist for Step-by-step explanation:

Answer:

TRUE

-25/4 is true

-the stalk grew 6.25 per week is true

-After 4 weeks, the stalk grew 25 is true

CANNOT BE DETERMINED

-Each bag can hold is cannot be determined

NOT TRUE

-And i forgot the other answer but it is NOT true

Step-by-step explanation:

I got it right on imagine math but sorry I forgot the choices but this should be right

la circunferencia de un jardín circular es de 116,18 pies ¿cual es el radio del jardín? use 3.14 para el π es urgente regalo corona​

Answers

Answer:

ml ml ml ml ml

Step-by-step explanation:

ml ml ml ml MLシ︎

I need help finding the right answer The answer choices are:
A. (x,y) → (x - 5, y + 4)

B. (x,y) → ( x + 5 , y - 4)

C. ( x,y) → (x + 4, y - 5)

D. (x,y) → ( x - 4, y + 5)

Answers

The answer is a because you are going down 5 and moving right 4

Choose all answers that describe the polygon NOPQ

Answers

Answer:Parallelogram,Quadrilateral,Rhombus

Step-by-step explanation:

I js guessed & got it right!!

ou have decided to open your own food truck offering specialty street food.
reate a small menu consisting of a few main dishes, side items, and drinks. Be
ure to include a price for each item.
A. Post your menu and encourage other students to come visit your food
truck.
B. Order from another student's food truck. Reply to that student's post and
place your order. Tally up the total cost of your order, including 6% tax and a
20% gratuity, or tip. Try to respond to a post that doesn't have any replies yet.
C. Respond to replies to your own post. Check the math on the orders that
came in. Did your customers add up the cost of their orders correctly? Did
they correctly calculate the tax and the gratuity and add it to the total?
Increasing and decreasing prices

Answers

Food Truck Menu

Soft Pretzel: $1.00 (cheese .50)

Cheese Pizza: $1.50

Pepperoni Pizza: $2.00

Hot Dog: $1.00

Chips: $0.50

Fries: $1.00 (cheese or bacon .50)

Food Truck Drinks (.50 each)

Water, Pepsi, Diet Pepsi, Coke, Diet Coke, Mountain Dew, Lemonade, Iced Tea

You should visit Food Truck because we have delicious items that you would want to munch on. Whether you got cravings for a hot dog, or you have a thirst for some homemade lemonade, we have what you ask for.

An amusement park charges $8 for admission and $2 for each ride. Use the graph to find the slope and the y-intercept. Then write an equation for the function that relates the total cost to the number of rides.
show your work.​

Answers

Answer:

y=2x+8

Step-by-step explanation:

y=mx+b

M: cost for each ride, $2

B: Flat admission rate, $8

There is a total of 385 turkeys and chickens in a farm.
The number of turkeys is 50 more than the number of chickens.
How many animals of each type are in the farm?
• T: number of turkeys.
C: number of chickens.
a) Write two equations that express the number of turkeys and chickens.
. First equation :
Second equation:
.
b) Solve the system using a method of your choice. Show your work. [4 points]
Answer:
_turkeys; and
chickens.

Answers

Step-by-step explanation:

Note: 385 is an incorrect number so replaced with 386 for the sake of getting integer solution

a)

Equations:

T + C = 386T = C + 50

b)

Solve by substitution:

C + 50 + C = 3862C + 50 = 3862C = 336C = 336/2C = 168

Find the number of turkeys:

T = 168 + 50 = 218

Answer:

218 turkeys168 chickens

Sarah used 2.5 cups of cheese in a dish that serves 10 people. Amy used 1.6 cups of cheese in a dish that serves 8 people.
How much more cheese is in one serving of Sarah’s dish?

Answers

2.5/10
For Sarah
Answer: 0.25

Find the value of x then find the measure of the four angles.

Answers

Answer:

x = 4

<GPN = 28 degrees (if it is the inside angle)

Step-by-step explanation:

The value of x will be 4 which the degrees for that angle will be 28

4 1/2 times 1 3/4 as a mixed fraction in simplest form

Answers

Answer:

Mixed number: 7 7/8

Simplified: 63/8

Step-by-step explanation:

9/2 x 7/4 = 63/8 = 7 7/8

A rectangle with sides 4 cm and 7 cm was enlarged in the ratio 1:2

Answers

The area of a rectangle with sides 4 cm and 7 cm was enlarged in the ratio 1:2 is 56cm².

What is a ratio?

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.

From the information, a rectangle with sides 4 cm and 7 cm was enlarged in the ratio 1:2.

New Length = (2 × 7cm) = 14cm

New width = (1 × 4cm) = 4cm

Therefore area will be:

= Length × Width

= 14cm × 4cm

= 56cm²

The area is 56cm².

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Complete question

A rectangle with sides 4 cm and 7 cm was enlarged in the ratio 1:2. What is the new area?

Darrell estimates that it will take him 9 days to complete every world on a new video game. It actually takes him 12 days. What is the percent error of Darrell's estimate? Round the percent to the nearest tenth if necessary.

Answers

Answer:

25%

Step-by-step explanation:

Which number is irrational?

Answers

Answer:

I need to know the numbers then Im able to help :3

Step-by-step explanation:

This number is irrational

The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (3,135) and (6,270) to find the number of soda bottles the machine can make each minute.

Answers

Answer:

45 bottles per minute

Step-by-step explanation:

the number of bottles per minute would equal the rate of change, or 'slope'

the slope formula is 'the difference of the two y-values / difference of the two x-values'

(270-135) / (6-3) = 135/3 or 45 bottles per minute

Multiply and simplify completely:
3 /4.
10/ 5

Answers

Answer:

[tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex]  × [tex]\frac{10}{5}[/tex]

Simplify = [tex]1 \frac{1}{2}[/tex]

Decimal Form = 1.5

A company rents out 12 food booths and 22 game booths at the county fair. The fee for a food booth is $200 plus $6 per day. The fee for a game booth is $95 plus $5 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

295 + 11d

Step-by-step explanation:

(200+6d) + (95+5d)

then combine your like terms and you get 295+11d

Which of the following functions' graphs are shifted down 6 units when compared to the parent function f(x) = x? Note that there may be other transformations as well, so the question is whether or not a particular transformation of the parent includes a vertical shift down of 6 units.

A) g(x) = 2(x - 6)

B) g(x) = x/6

C) g(x) = 2(x + 6)

D) g(x) = x - 6

E) g(x) = x + 6

F) g(x) = 3x + 6

G) g(x) = 6x

H) g(x) = 3x - 6

Answers

The correct answer is a

Find the value of x for which l || m.


A. 24

B. 26

C. 12.75

D. 14

Answers

A. 24 I think but I do not know where you x is in the problem.

what is 4(2) for the function f(2)=3x+5

Answers

Answer:  11

Assuming 4(2) is meant to be f(2).

Step-by-step explanation:

I'm not sure what 4(2) means.  I'll assume f(2) was intended in this answer.

We have a function, f(x)=3x+5, where the value of the function depends on the value of x.  f(2) means x=2, so we would write:

f(2)=3x+5

f(2)=3*(2)+5

f(2)=6+5

f(2)=11

For a field trip 23 students rode in cars and the rest filled three buses. How many students were in each bus if 203 students were on the trip?

Answers

Answer: 60

Step-by-step explanation: so first I did 203-23 which gives us 180 and then you divide 180 by 3 so for each bus which gives you the answer 60

7.49,7 49/50,7.5% from least to greatest

Answers

Answer:

[tex]7.5 \%,~7.49,~ 7 \dfrac{49}{50}[/tex]

Step-by-step explanation:

[tex]7.5 \%<7.49 < 7 \dfrac{49}{50}\\\\0.075<7.49<7.98[/tex]

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