I NEED HELP ASAP Follow the process for establishing a set of equations: Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1. Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number? Include the entire process for establishing a set of equations, the solution, and an explanation of what the solution means in terms of the variables. Complete your work in the space provided.

Answers

Answer 1

Step-by-step explanation:

Identify the variables (x,y) and represent them using the unknowns like this:

Let x represent the tens digit and y represent the ones digit of the number.

Relationships between the unknowns from the question:

x = 2y, and x + y = 12.

We can solve these simultaneous equations by substitution:

x + y = 2y + y = 12, 3y = 12, y = 4. So x = 8.

Link back to the question:

Therefore, the number is 84.


Related Questions

10, 14, 25, 25, 27, 31, 36, 38, 41, 53
What is the median number of t-shirts sold?

Answers

Answer:

The median number of shirts sold is 29

Step-by-step explanation:

Order the number from least to greatest (in this case they already are), then take the middle number or the two middle number if you have to numbers in the middle. If you have to numbers in the middle add them and the divide by 2.

27+31=58

58÷2=29

Answer:29

Step-by-step explanation:

First find the two middle numbers in this case 27 and 31 add them together and divide by 2

2(3x–1)=9(x–2)–7 simplify plz help

Answers

Hi

2(3x-1) = 9(x-2)-7

6x-2 = 9x-18-7

6x-9x = 2-18-7

  -3x = -23

      x =  23/3

Solve the equation for 'C' B + C = -D ​

Answers

Answer:

C = -D - B

Step-by-step explanation:

Step 1: Write out equation

B + C = -D

Step 2: Subtract B on both sides

C = -D - B

Jordan uses three lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does he use altogether? *What visual would you use to draw this story problem?

Answers

Answer:

The number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons

Step-by-step explanation:

The number of lemons the Jordan uses to make 1 pitcher of lemonade = three lemons

The number of pitcher lemonades Jordan makes = 4 pitcher of lemonades

The number of lemons Jordan uses altogether, is given by the following relation;

1 pitcher of lemonade = 3 lemons

4 pitcher of lemonades = 4 × 3 lemons = 12 lemons

Therefore, the number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons.

Which value is the LARGEST?
a. 0.65
b. 33%
3
C.
5
d. 0.75

Answers

Answer:

d.  0.75 (assuming that choice c. is 3/5)

Step-by-step explanation:

Is C. 3/5? I'm assuming it is.

Write all numbers as decimals to make it easier to compare them.

a. 0.65 = 0.65

b. 33%  = 0.33

c. 3/5  = 0.6

d. 0.75 = 0.75

Now that all numbers are written as decimals, we see that the greatest of them is 0.75

Answer: d. 0.75  (assuming that choice c. is 3/5)

Step-by-step explanation:

It's C I mean number 5 because the other ones are below 1 and 5 is greater than 1

What is the value of ​2×[34−5×(3+1)]​ ?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28}}}}}[/tex]

Step-by-step explanation:

Use BODMAS rule :

Bracket , Of , Division , Multiplication , Addition , Subtraction

[tex] \sf{2 \times [ 34 - 5 \times (3 + 1) ] }[/tex]

Add the numbers : 3 and 1

[tex] \dashrightarrow{ \sf{2 \times [ 34 - 5 \times 4 ] }}[/tex]

Multiply the numbers : 5 and 4

[tex] \dashrightarrow{ \sf{2 \times [ 34 - 20 \: ]  }}[/tex]

Subtract 20 from 34

[tex] \dashrightarrow{ \sf{2 \times 14}}[/tex]

Multiply the numbers : 2 and 14

[tex] \dashrightarrow{ \sf{28}}[/tex]

Hope I helped!

Best regards! :D

Answer:

28

Step-by-step explanation:

i took the test :D

If PR = 25 and PQ = 12, then QR=

Answers

Answer:

QR= 13

Step-by-step explanation:

the points on the line in order from left to right are P, Q, R, which means that the distance from P to R is the length of the line. So PQ is only about half the line. To solve this question you would subtract 12 from 25:

25-12=13

hope that helps. can i have brainliest?

Answer:

It depends on whether P lies on QR or not.

If not, we can't find the exact answer for this question.

If P does, there are 2 cases:

Case 1: P is between Q and R

so QR = PQ + PR = 12 + 25 = 37

Case 2: Q is between P and R (because PQ < PR so there is no likelihood for R to lie betweem P and Q)

so QR = PR - PQ = 25 - 12 = 13

what is 135 square root in between on a number line?

Answers

Answer:

11.61

Step-by-step explanation:

It has to be between 11 and 12 and closer to twelve

which statement is true about the function f(x) =√-x ​

Answers

A is the correct answer on the multiple choice one
A is the correct answer

En la granja hay 509 puercos anota el número antecesor y el número sucesor de la cantidad.​

Answers

Answer: que

Step-by-step explanation:

please relly need help

Answers

Answer:

z=162

Step-by-step explanation:

[tex]\frac{z}{9}[/tex]=18

so we multiply 9 and 18 which is 162

convert 22 Australian dollars to US dollars

Answers

Answer:

22 Australian dollars are 16.12 USD

22 AUD to USD = 16.1763 US Dollars.

Solve for all values of x in simplest form.
(10 – 4x) – 2 = 9

Answers

8-4x=9
-4x=9-8
-4x=1
X=-1/4
X=-0.25

If 80 is divided by the sum of 4 and a certain number , the result is 16 .find the number

Answers

Answer:

x = 60

Step-by-step explanation:

80/ 4+x = 16

(4 + x) * 80/ 4+x = 16 = 16 (4 + x)

80 = 16 + 4 + x

80 = 20 + x

60 = x or x = 60

1. Simplify. 4(2a - 1) - 4 + 7a ​

Answers

Answer:

=15a−8

Step-by-step explanation:

Let's simplify step-by-step.

4(2a−1)−4+7a

Distribute:

=(4)(2a)+(4)(−1)+−4+7a

=8a+−4+−4+7a

Combine Like Terms:

=8a+−4+−4+7a

=(8a+7a)+(−4+−4)

=15a+−8

Answer:

=15a−8

hope i helped

-lvr

Sean says that to add a number to -100 and still have -100 is to add a zero.Candice says that she can add 2 numbers to -100 and still have -100. Who is correct and why?

Answers

Answer:

Sean because zero added to anything is the same answer.

Step-by-step explanation:

which of the following properties does not apply to rectangles - the diagonals bisect each other - all sides are congruent - the diagonals are congruent - all angles are congruent

Answers

all sides are definitely not congruent

The lifespan of a zebra is 15 years. The lifespan of a black bear is 3 years longer than the lifespan of a zebra. Write an addition equation that you could use to find the lifespan of a bear.​

Answers

Answer:

15+3=18 years

Step-by-step explanation:

Since the black bear lives 3 years longer than the zebra, all it really means is 3 additonial year so you add 3 on to the 15.

15 + 3 = 18 my guy you got this

33WELL EVERGREEN BOLUTIONS
CERTIFICATE EXAMINATION (BECE)
MATHEMATICS 2016
Time Allowed: 2 hrs
s
7. The bearing S 30° W is equivalent to
A. 0300 B. 0600 C. 120°
. D. 150° E. 2100​

Answers

Answer:

150

Step-by-step explanation:

why because s 30° and half of a cicle is 180°so we minus it 180-30=150

Which Set Of Numbers Does √35 Belong?

Answers

Answer:

rational

Step-by-step explanation:

What is the solution of 25 - 3p = 55? Use a table.
A. p = -10
B. p = -5
C. p.= 5
D. p = 10

Answers

Answer:

A. p = -10

Step-by-step explanation:

i took the test

12-4= +2

second Grade math help pls​

Answers

Answer:

6

Step-by-step explanation:

Step 1:

12 - 4 = x + 2

Step 2:

8 = x + 2

Step 3:

8 - 2 = x

Answer:

x = 6

Hope This Helps :)

12-4= 8
which is also equal to, 6+2
answer should be 2

Mike can read 15 pages of a book in 24 minutes.
At this rate, how many minutes will it take Mike
to read 45 pages of the book?
Previous
Next
36
54
72
84

Answers

72 minutes

Take 24 divided by 15 = 1.6 minutes per page
Then take 1.6x45=72

5.6 as a fraction show all work

Answers

Answer:

5       6/10

Step-by-step explanation:

I can't really write a fraction but it would be 5 the 6 over 10. Hope this helps!

A parking attendant charges a different rate for cars than for trucks. It costs $10.75 to park 3 cars and 2 trucks. It costs $12.25 to park 7 cars and 1 truck. How much does it cost to park a single car? A single truck?

Answers

Answer:

$1.25 to park a car and $3.50 to park a truck

Step-by-step explanation:

Set up a system where c is the number of cars parked and t is the number of trucks:

3c + 2t = 10.75

7c + t = 12.25

Solve by elimination by multiplying the bottom equation by -2 to eliminate t:

3c + 2t = 10.75

-14c - 2t = -24.5

Add them together and solve for c:

-11c = -13.75

c = 1.25

Then, plug in 1.25 as c in the equation to solve for t:

3c + 2t = 10.75

3(1.25) + 2t = 10.75

3.75 + 2t = 10.75

2t = 7

t = 3.5

So, it costs $1.25 to park a car and it costs $3.50 to park a truck

Stuck on question 9.

Answers

Answer:

Step-by-step explanation:

I think it's 107 degrees? That's how many degrees are in between c and h, making it a 107 degree angle.

Yesterday, there were b milligrams of bacteria in a lab experiment. Today, there are b^2 milligrams of bacteria. If there are 400 milligrams today, how many milligrams of bacteria were there yesterday. a. 20 milligrams b. 200 milligrams c. 1,600 milligrams d. 160,000 milligrams Eva chose B as the correct answer. How did she get that answer. Show the correct answer

Answers

Answer:

A

Step-by-step explanation:

b^2 = 400

b = 20.............

If Edward makes $197 in a week and sells: 5 pairs of jeans,5 T-shirts, and 3 hats, and buys 3 of his meals. How many pairs of shorts did he sell?

Answers

Answer:

None

Step-by-step explanation:

Based on my knowledge, in this whole statement aren't talking about pairs of shorts, it was talking about different clothes.

A species of fish was added to a lake. The population size Pt of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t) = 1000+(12e^−0.34t)where t is the number of years from the time the species was added to the lake.
Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary.

Answers

Answer:

1,012 ; 1,001

Step-by-step explanation:

Given the population function :

P(t) = 1000+(12e^−0.34t)

where t is the number of years from the time the species was added to the lake.

Initial population size of the species ; that is the population at year 0

At time, t = 0

P(0) = 1000+(12e^−0.34(0))

= 1000 + (12e^0)

= 1000 + 12(1)

= 1012

Initial population = 1,012

Population after 9 years :

P(9) = 1000+(12e^−0.34(9))

= 1000 + (12e^-3. 06)

= 1000 + (12×0.0468876)

= 1000 + ( 0.5626523)

= 1000.5626

= 1001 ( nearest whole number)



Sydney needs 15 inches of string to make a necklace. If she has 9 feet of string, what is the maximum number of necklaces that she can make?


Answers

Answer:

7 necklaces

Step-by-step explanation:

108/15=7.2, to make a whole last necklace you round it to just 7

Answer:

7

Step-by-step explanation:

9x12= 108. 108 ÷ 15 = 7.2, which I rounded to 7.

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