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

Answer:

Number = 84

Step-by-step explanation:

Given

Represent Tens with T and Ones digit with U

[tex]T = 2U[/tex]

[tex]T + U = 12[/tex]

Required

Find the number

Substitute 2U for T in the second equation

[tex]2U + U = 12[/tex]

[tex]3U = 12[/tex]

Divide through by 3

[tex]U = 4[/tex]

Substitute 4 for U in the first equation

[tex]T = 2 * 4[/tex]

[tex]T = 8[/tex]

Hence, the number is 84


Related Questions

Find the area 12 6 5 14

Answers

Answer:

35

Step-by-step explanation:

In this shape we have to use the formula: A= 1/2xbxh

So we use this formula. 1/2 X (5 X 14)= 35

Plz help me I need this for a grade

Answers

Answer:

It not a function... the two points would be (0,3) and (-3,0)

Step-by-step explanation:

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground? h(t) = at2 + vt + h0 1.9 s 2.4 s 9.7 s 40.7 s

Answers

Answer:

B

Step-by-step explanation:

I answered it on edge

2.45 seconds will it take for the egg to reach the ground.

What is height?

Height can be defined the vertical distance from the top to the base of the object.

Given

Height h(t) = 90 ft

Acceleration due to gravity a = -16 ft/[tex]s^{2}[/tex]

Initial velocity  v = 0

[tex]h_{0}[/tex] = 0

[tex]h(t) = at^{2} +vt+h_{0}[/tex]

90 = 16[tex]t^{2}[/tex] + 0

90 =  16[tex]t^{2}[/tex]

[tex]t^{2} = \frac{90}{16}[/tex]

[tex]t^{2}=5.625[/tex]

t = [tex]\sqrt{5.625}[/tex]

t = 2.45

Hence, 2.45 seconds will it take for the egg to reach the ground.

Find out more information about height here

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PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] × 63 = 2 × 21 = 42

Her prediction was correct as [tex]\frac{2}{3}[/tex] of 63 = 42 → B

B.Yes because that is what I think

How much fencing is needed to make the cage area?

Answers

Approximately 2,640 feet

Answer:

260 feet

Step-by-step explanation:

Just completed the Imagine Math

The system represents lines that
, therefore the system has

Answers

Answer:

are parallel, no solution is the correct answer

Step-by-step explanation:

edge

The system may represent two parallel lines and have no solution. Then the correct option is B.

What are parallel lines?

When the distance between the lines is constant, then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

A system of linear equations contains two equations with the same slope.

The system may represent two parallel lines and have no solution.

Then the correct option is B.

The complete question is given below.

A system of linear equations contains two equations with the same slope. Select all the correct statements.

A. The system represents perpendicular lines and has one solution.

B. The system may represent two parallel lines and have no solution.

C. The system may represent the same line and have infinitely many solutions.

D. The system represents perpendicular lines and has two solutions.

More about the parallel lines link is given below.

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0.799 ________ 0.8 PLEASE HELP ASAP!

Answers

Answer: I don't get the question? Can you please explain the question?

Answer: 0.799 is grater

Step-by-step explanation:

Michael had saved $257.40; he had deductions of $21.82 for dinner and $ 150.32 for clothes he purchased. After receiving his monthly allowance of $45, how much money does Michael have?

Answers

Answer:

130.26

Step-by-step explanation:

257.40-21.82-150.32=45=130.26

| v+8|-5=2
helpp
pleaseee

Answers

Answer:

V=-1

Step-by-step explanation:

2. Sam is climbing 2/3 meters every 1/3 of an hour. How many meters does
he climb per hour? Enter your answer in simplest form. *​

Answers

Answer:

2/9

Step-by-step explanation:

if u multiply 2/3 × 1/3 u get 2/9

if DF=78, DE=5x-9, and EF=2x+10 Find EF

Answers

Answer:

EF = 32

Step-by-step explanation:

DE + EF = DF

5x - 9 + 2x + 10 = 78

5x + 2x + 10 - 9= 78

7x + 1 = 78

7x = 78 - 1

7x = 77

x = 77/7

x = 11

[tex]EF=2x+10 = 2 \times 11 + 10 \\ EF=22 + 10 \\ \huge \red { \boxed{EF=32}}[/tex]

A pet store has k tanks of fish. Each tank has 28 fish. Using , write an expression for the total number of fish in the store.

Answers

Answer:

28k

Step-by-step explanation:

There are k tanks with 28 fish each

The total number of fish is

28k

Answer: 28k

k represents the number of fish tanks.

If we have that then we can multiply and solve for the total number of fish.

Best of Luck!

your cell phone plan costs 29.99 per month plus 0.15 for each text message you send or receive. you have wt most 34 to spend on your cell phone bill. what is tge maximum number of text messages that you can send or receive next month

Answers

Answer:

482

Step-by-step explanation:

Evaluate the expression for y=3
10y-4y=

Answers

Answer:

(10 x 3) - (4 x 3) = 30 - 12 = 18

Step-by-step explanation:

Violet was given a box of assorted chocolates for her birthday. Each night, Violet treated herself to some chocolates. Violet ate 4 chocolates each night and there were originally 24 chocolates in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Violet's birthday.

Answers

Answer:

C = 24 - 4t

Step-by-step explanation:

Total chocolate = 24 chocolate

Quantity eaten each night = 4

Let

C = number of chocolate remaining

t = number of days after violet birthday

Number of chocolate remaining = original number of chocolate - 4(number of days after violet birthday)

C = 24 - 4t

For instance, if t = 2

That is, 2 days after violet birthday

C = 24 - 4t

= 24 - 4(2)

= 24 - 8

= 16

Answer: C = 24 - 4t

Step-by-step explanation:

What is the solution of this equation? 7y -4 = 9y +13 -4y

Answers

Answer:

y = 8.5

Step-by-step explanation:

7y - 4 = 9y +13 - 4y  

First arrange to combine like terms.

7y - 4 = 9y - 4y + 13

7y - 4 = 5y + 13     Subtract 5y from each side

7y - 5y - 4 = 5y - 5y + 13

7y - 5y - 4 = 13

2y - 4 = 13   Add 4 to each side

2y - 4 + 4 = 13 + 4

2y = 13 + 4

2y = 17   Divide each side by 2

2y/2 = 17/2

y = 17/2 or 8[tex]\frac{1}{2}[/tex] or 8.5

Mike had $1,800 in his bank account. Thirty days later, his account balance was $570. Write an integer an integer to represent the average change in his balance each day during his time

Answers

Answer:

The average change in balance each day during his time $41

Step-by-step explanation:

Here, we want to write an integer to represent the average balance change in the 30 days period.

First, let’s find difference between opening and closing balance= (1800-570) = 1230

We shall now divide this by 30 = 1230/30 = $41

Answer:

The average chang in his time is 41

Step-by-step explanation:

How do you solve for x and y in this matrix equation?

Answers

Answer:

Hi!

I might be able to help you!

The Matrix Solution

It means that we can find the values of x, y and z (the X matrix) by multiplying the inverse of the A matrix by the B matrix.

The matrix method is similar to the method of Elimination as but is a lot cleaner than the elimination method. Solving systems of equations by Matrix Method involves expressing the system of equations in form of a matrix and then reducing that matrix into what is known as Row Echelon Form.

I apologize if this didn't help you, but God bless you and your family!

Which equation represents the graph y=10-x y=x-10 y=-x-10 y=10+x

Answers

Answer:y=10-x

Step-by-step explanation: 10 is the y-intercept and -x is the slope

Answer:

y = 10 – x

Step-by-step explanation:

did it on edgen

What is the slope of the line ?

Answers

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

To find the slope, you will have to divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those h same 2 points .

Step-by-step explanation:

The Campbell family uses up to 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

1/6

Step-by-step explanation:

1/2 divided by 3

Answer:

1/6

Step-by-step explanation:

Given the expression 5x^2y+ 2x - 4xy^2 - 5xy + 9x^2y, select the like term that would combine with 5x^2y.

Answers

9x^2y would combine with 5x^2y as they have the same exponent and variables

A number divided by three is nIne

Answers

Answer:

27

Step-by-step explanation:

x / 3 = 9

x = 3 * 9

  = 27

Hope I helped!

The answer is 27 I know that Bc I timed 3 by 9 and then I got 27 which then if you divide 27 by 3 you get 9

Solve for x.
7y-6y-19=13

Answers

Answer:

Y=32

Step-by-step explanation:

Answer:

the answer is y=32

Step-by-step explanation:

7y-6y-19=13

collect the like terms

7y-6y=13+19

y=32

mark me as brainliest plyyzzz

the length of a rectangle is twice its width. the perimeter of the rectangle is 42cm. what is the length and width for the rectangle?

Answers

Answer:

length = 14cm width = 7cm

Step-by-step explanation:

length = 2x w (width)

if length = 2x width then

length must equal 4/6 and width must equal 2/6 because length is 2 times width.

42 divded by 6 = 7.

length gets four lots of 7.

length of both sides= 28cm

width gets 2 lots of 7.

width of both sides= 14cm

there are two sides for length and two sides for width.

Length x 2= 28cm

Length must equal 14cm.

Width x 2 = 14cm

Width must equal 7cm.

lets just prove this is true:

7+7=14.

14+ (14+14) =

14+ 28= 42cm.

this works.

the length is 14cm and the width is 7cm.

Answer:

Length = 14 cm

  width = 7 cm

Step-by-step explanation:

given:

rectangle

where    L = 2W

             W = W

Perimeter = 42 cm

find: Length of L

solution:

Perimeter or a rectangle = 2L + 2W

plugin the given values into the formula:

42 = 2(2W) + 2W

42 = 4W +2W

42 = 6W

W = 42/6

W = 7 cm (width of Rectangle)

solve L by using  substituting W=7 in L = 2W

L = 2W

L = 2 (7)

L = 14 cm

therefore, the Length = 14 cm

                          width = 7 cm

Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

Answers

Answer:

the answer is #4 -The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

Step-by-step explanation:

can someone help me please​

Answers

Point N is the midpoint

Answer:

[tex]\huge\boxed{N}[/tex]

Step-by-step explanation:

In order to find the midpoint of LQ, we need to find how long it is.

We can do this by finding the distance between L (-4) and Q (8).

From -4 to 0, it's 4.

From 0 to 8, it's 8.

So the total distance is [tex]8+4=12[/tex].

The midpoint of 12 units will be 6 units past L. We know that L is -4 so let's add 6 to it.

[tex]-4 + 6 = 2[/tex]

N is located at 2, so N is the midpoint of LQ.

Hope this helped!

20 (20 minus x) = 300 What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

20 ( 20 - x ) = 300

By transposing,

20 - x = 300 / 20

20 - x = 15

-x = 15 - 20

-x = -5

- and - get cancelled

so, x = 5

Hope this helps

plz mark as brainliest!!!!!!

20(20-x)=300
400-20x=300
-400 -400
-20x=-100
-20x/-20 = -100/-20
x= 5

Which of the following is an arithmetic sequence?
A. 3,0,-3,-6
B.2,4,16,32
C.5,-5,5,-5
D.2,3,7,1

Answers

Answer:

  A.  3, 0, -3, -6

Step-by-step explanation:

The sequence with constant first differences is an arithmetic sequence. The sequence of A has a common difference of -3, so is an arithmetic sequence.

write 4x^2+4x+1 as a binomial squared Plz explain too, this is so hard

Answers

Answer:

(2x+1)(2x+1)

Step-by-step explanation:

Factor=4x^2+4x+1

4x^2+4x+1 =(2x+1)(2x+1)

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