Solve the following problem. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.

The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers.

Answers

Answer 1

Answer:

The numbers are 4, 8 and 14

Step-by-step explanation:

Required

Determine the three numbers

We start by declaring the variables

Let the three numbers be [tex]x,\ y\ and\ z\ respectively[/tex]

Next, we write the relationships between the numbers

[tex]y = 2 * x[/tex] --- Second = Twice the first

[tex]z = 6 + y[/tex] --- Third = 6 more than second

[tex]x + y + z = 26[/tex] --- Sum of the three numbers

Then, we solve for each number

[tex]y = 2 * x[/tex]

[tex]z = 6 + y[/tex]

[tex]x + y + z = 26[/tex]

Substitute 6 + y for x in [tex]x + y + z = 26[/tex]

[tex]x + y + 6 + y =26[/tex]

Collect Like Terms

[tex]x + y + y = 26 - 6[/tex]

[tex]x + 2y = 20[/tex]

Substitute 2 * x for y in [tex]x + 2y = 20[/tex]

[tex]x + 2(2*x) = 20[/tex]

[tex]x + 4*x = 20[/tex]

[tex]x + 4x = 20[/tex]

[tex]5x = 20[/tex]

Solve for x

[tex]x = \frac{20}{5}[/tex]

[tex]x = 4[/tex]

Recall that:

[tex]y = 2 * x[/tex]

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

[tex]y = 8[/tex]

Recall that:

[tex]z = 6 + y[/tex]

[tex]z = 6 + 8[/tex]

[tex]z = 14[/tex]

Hence, the numbers are 4, 8 and 14

To test the result:

[tex]x + y + z = 26[/tex]

[tex]4 + 8 + 14 = 26[/tex]

[tex]26= 26[/tex]


Related Questions

how much is 3x3+3+3x3

Answers

Answer:

21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define expression

3 × 3 + 3 + 3 × 3

Step 2: Evaluate

Multiply:                    9 + 3 + 3 × 3Multiply:                    9 + 3 + 9Add:                          12 + 9Add:                          21

Answer:

21

Step-by-step explanation:

3 x 3 = 9

9 + 3 = 12

3 x 3 = 6

12 + 6 = 18

18 + 3 = 21

Find the median of the following data.

2, 8, 7, 8, 6, 15, 6, 8, 3

Answers: D. 7

Good luck on your test, I’m taking mines right now lol...I’m a 7th grader, wish me luck!

Answers

Answer:

Good Lucky

Step-by-step explanation:

yay good luck on ur test

Dante buys a game console at a discounted price. The original was $200 and the discount was for $50 off. What was the percent discount Dante received

Answers

Answer:

I'm pretty sure its a 25% discount

I believe it’s 25% discount

yats of fle har earh par
O2 yr
03 ya
04yads
111

Answers

Answer:huh?

Step-by-step explanation:

Answer:

habibi astra madookoo a1 x 4x doodoo perosetro ekebodina daiki

Step-by-step explanation:

Evaluate each expression 3((9-6+7//Division symbol\\5-1)

Answers

Answer:

27

13

4

Step-by-step explanation:

3/9=27

6+7=13

5-1=4

Acellus help Urgenttt i need help the homework is due tonight so pls help

Answers

Answer:

1/2

rise/run

rise = 1

run = 2

Step-by-step explanation:

Answer:

Slope = 1/2

Step-by-step explanation:

I would suggest that there are two ways you can find the slope to this problem.

1. You could start at where the line crosses the y-axis. You would then count using the rise/run formula. For example, in this situation, you would start at (0,1) since that's where the line crosses the y-axis. You go up one and go the right two times.

OR

2. You pick two points on the line and use the formula y2-y1/x2-x1. For example, we could pick the two points (0,1) and (2,2). We would plug in those numbers in the formula.

y2-y1/x2-x1 → 2-1/2-0 = 1/2

—6+ 3(2+(-4))?

A. -12t
B. 12t - 12
C. none of the above​

Answers

Answer:

c) none of the above. the answer is -5.

mark as brainliest...

3x – 4y = -5
y = 4x - 2
Is (1, 2) a solution of the system?

Answers

Answer:

Yes, the ordered pair (1, 2) is a solution to the system.

Step-by-step explanation:

The answer can be found quite quickly. Simply substitute the x coordinate of the given pair for x, and the y coordinate of the given pair for y.

The x coordinate is 1 and the y coordinate is 2, so...

3(1) - 4(2) = -5

2=4(1)-2.

Next, simplify:

3-8=-5

This equation is TRUE.

2=4-2

This equation is also TRUE.

Hopefully, this helps in some way!

The relationship between temperature in Celsius and Fahrenheit is linear. Water freezes at 0 ° C or 32 ° F and water boils at 100 ° C or 212 ° F.
One day somewhere in the USA, the thermometer shows 68 ° F. How many ° C corresponds to 68 ° F?

Answers

Please check on gogle. Hope you got it

The point (-7, -3) is located in which quadrant? ​

Answers

the 3rd quadrant, hope this helped

Answer:

Quadrant III

Step-by-step explanation:

Quadrant III Is negative land! and Quadrant I is positive land! Hope this helps ^w^

Can someone help me and explain it thank you I appreciate it

Answers

Answer: -$59,035.95 is her bank balance

Step-by-step explanation:

you would need to subtract $7,463,49 from the amount in her bank account which is $ 6,873,22 which gets you -$59,027 then subtract the maintnence fee that she had to pay so you do -$59,027-$15 which equals -$59,042 then add her interest which is $6.05 that equals -$59,035.95

super easy please help :)

Answers

If it’s easy why can’t you do it

5 divided by 21

For brainliest

Answers

Answer:

5/21 = 0.2381

Hope this helps!

Answer:

0.238095

Step-by-step explanation:

Order these fractions from least to greatest 2/3, 7/12, 17/24, 3/4

Answers

Answer:

7/12, 2/3, 17/24, 3/4

LCM = ( 3, 4, 12, 24) = 24

7x-10 -5x +4 = 10 solve for x

Answers

Answer:

8

Step-by-step explanation:

7x - 5x = 2x

-10 + 4 = -6

2x - 6 = 10

+6 on both sides of =

2x = 16

divide by 2 on both sides of =

x = 8

Answer:

7x - 10 - 5x + 4 = 10

7x - 5x - 10 + 4 = 10

2x - 6 = 10

2x = 10 - 6

x = 4/2

x = 2

Can you please help

Answers

Answer:

Fill in the answers from the first box to the second box.

Step-by-step explanation:

The picture is hard to see so I'm not 100% sure but I think you just fill in the data from the first table to the second one. For example, if the first table says 15 under morning and for whales, you type 15 in that spot on the second one. Hopefully that helped :)

The perimeter of a table is 152cm. The length is twice the width minus 2. What is the width of the table?

1. 26 cm
2. 27cm
3. 28cm
4. 29cm

Answers

Width = x
Length = 2x - 2
Perimeter = 2(L + w)
2(x + 2x - 2) = 152
3x - 2 = 76
3x = 78, x = 26
The width is 26 cm

what is the sum of 2/5 and 3/4 what is the answer​

Answers

Answer:

23/20 or 1 and 3/20

Step-by-step explanation:

Make sure they have the same common denominator. For 5 and 4, 20 would be the Least Common Denominator.

so 2/5=8/20 and 3/4=15/20

Add 8+15 and you get 23 so 23/20 you can leave it so or switch it to a mixed number 1 3/20

Janelle earns $10.50 an hour for the first 40 hours she works. But, for every hour she works
overtime, she gets paid time and a half. If Janelle worked 55 hours last week, how much did she
earn?

Answers

She will earn $57.75 by working over time

Answer:

$246.75

Step-by-step explanation:

10.50 + (15 * 15.75)

Rodrigo runs 17.5 miles every week. He runs the same distance each day. How far does rodrigo run each day?

Answers

Answer: 2.5 miles per day

Step-by-step explanation:

the sum of two numbers is 49.Twice the smaller number is 97 less than 3 times the larger number.What are the numbers. help mee I'm on homework and its due soon

Answers

Answer:

smaller number is 10

larger number is 39

Step-by-step explanation:

a = small number

b = larger number

a + b = 49

2a = 3b - 97

substitute 49-a into second equation for b

2a = 3(49-a) - 97

2a = 147 - 3a - 97

5a = 50

a = 10

b = 39

How can I do this problem?

Answers

Answer:

39

Step-by-step explanation:

65/2.5 then x 1.5

Answer:

39

Step-by-step explanation:

[tex]\frac{x}{1.5} =\frac{65}{2.5} \\x=\frac{65}{2.5} \times 1.5=39[/tex]

3 1/6 times 1/2 simplify and keep as fraction

Answers

Answer:

1 7/12

Step-by-step explanation:

Convert  

3  1/6 to an improper fraction.

3 1/6 = 19/6

19/6 times 1/2 = 19/12

Convert 19/12 to a mixed number

19/12= 1 7/12

Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 such locations are generated, what is the probability that all 6 locations are in water?

0.0006
0.1281
0.8719
0.9994

Answers

Answer:

the answer is B. 0.1281

Step-by-step explanation :

The probability that all 6 locations are in water is; B: 0.1281

We are told that;

Percentage of the Earth's surface covered by water = 71% = 0.71

We are told that 6 random locations covered in water are selected from a random generators.

Thus, the probability that all 6 locations are in water is;

0.71^(6) = 0.1281

Read more about probability at; https://brainly.com/question/251701

Please answer quickly!

Answers

Answer:

0/6 <--------------------------

It’s 2/6 I will put explanation in comments if you want

How mathematics is involved in Merchandising?

Answers

Answer:

You have to have the number of items you payed for and know what numbers your calculating at checkout

Step-by-step explanation:

Understanding of basic mathematics is important in order to carry on successful daily business operations of merchandising.

Step-by-step explanation:

A good mathematical understanding is beneficial for sharpening skills and improving handling of calculations with accuracy and speed.

To be a good and successful merchandiser you must understand math and performing skills like accuracy and speed both.

Important points :

The understanding of basic mathematics like fractions , decimal points , and percentage is essential to perform daily business operations.Every small or large merchant should familiar with basic mathematics.To make effective merchandising decisions it is essential to have a expertise in basic merchandising mathematics.

For more information visit:

https://brainly.com/question/11377258?referrer=searchResults

Can someone plz help me... ​

Answers

Answer:

First compute the perimeter of the first two windows: (3.4+5.2)*2=17.2

The perimeter of the four other windows: (3.6+4.8)*2=16.8

The total number of feet needed for the first two windows:

17.2*2 = 34.4 feet

The total number of feet needed for the four windows:

16.8*4 = 67.2 feet

The total number of feet needed is then: 34.4 + 67.2 = 101.6 feet.

Hope this helped can i pls have brainliest

An element with a mass of 990 grams decays by 16.9% per minute. To the nearest Minute, how lon will it be until there are 80 grams of the element remaining?

Answers

ye toh mujhe bhi nhi aata.........sorry

A is called___
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Answers

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what is the length of line ab?

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There’s no picture you should with the description you should upload this again
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