1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
____ [38]
3 years ago
6

The sum of three numbers is 54. the third number is 2 times the first. the first number is 6 more than the second. what are the

numbers?
Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0
Hello!

To solve this, we will use a system of equations. We will have the numbers be represented by x, y, and z, where x will represent the first, y the second, and z the third.

x+y+z=54
z=2x
x=6+y

We know that x is equal to 6+y. We can plug this into the second equation to find z.

z=12+2y

Now we can plug these y values into the first equation to find y.

6+y+y+12+2y=54
18+4y=54
4y=36
y=9

Now we know the value of y. We can plug this into the equations to find the other values.

x=6+9
x=15

z=15(2)
z=30

Just to check, we will add them all up and see if they equal 64.

15+9+30=54

The first number is 15, the second is 9, and the third is 30.

I hope this helps!

You might be interested in
Awnser of 7n-2=6n-2n
Nady [450]
7n-2=6n-2n \\
6n-2n-7n=-2\\
-3n=-2\\
n=\dfrac{2}{3}
3 0
3 years ago
Which data value has the highest frequency? 1 1/6 3 1/6 3/8 5/8
Marat540 [252]

Answer:

3 1/6

Step-by-step explanation:

To find the highest value, we have to evaluate each term individually,

1)  1 1/6 = 7/6 = 1.167

2) 3 1/6 = 19/6 = 3.16

3) 3/8 = 0.375

4) 5/8 = 0.625

Therefore, second data value (3 1/6) is highest.

 

8 0
3 years ago
Show work pls i need help
Anestetic [448]
This is the answers:
20: 6.9/7
21: 6.36/6
22: 6.24/6
23: 9.1/9
24: 4.6/5
25: 5.8/6
26: 9.3/9
27: 4.12/5
6 0
3 years ago
Which of the following values is a solution of |2-x| less than 4
morpeh [17]

The correct answer is -1.

In order to solve this, we need to split into the positive and negative version of the answers. Let's start with the positive version.

2 - x < 4

-x < 2

x > -2 ----> NOTE: When we divide by -1, we have to change the direction of the sign.

Now we'll do the negative version.

2 - x > -4

-x > -6

x < 6

So we know the number must be greater than -2, but less than 6. The only number on this list that fits that is -1.

4 0
3 years ago
Round to underline digit 3 in 32, 336
Charra [1.4K]
I dont know if you know this, but there are 3 different 3's. So how can we figure out the question if we don't know which one is underlined?
5 0
3 years ago
Other questions:
  • A middle school student is 60 inches tall. he expects to grow 2/3 of and inch each month in the upcoming months. this can be rep
    15·1 answer
  • Write an equation of the line in slope-intercept form.
    7·1 answer
  • J'Neices cell phone plan is $79 per month for unlimited calling plus 1000 text messages. Text messages over 1000 cost $0.15 each
    8·1 answer
  • T=p(0.09)2/3, where p is the original amount in the account, if the original account amount was $2570, what is her current balan
    12·1 answer
  • 182632929236+188274739393974473
    9·2 answers
  • WHAT DO I DO WHEN I FAILED A ALGEBRA TEST
    11·2 answers
  • What is the sum of 4.061 and 18.62?
    6·1 answer
  • If 2^2x=2^3, what is the value of x?<br><br> 2/3<br> 3/2<br> 2<br> 3<br><br> edit: answer is 3/2
    9·1 answer
  • Joelle bought some fruit at the store. They bought 5 apples and a bunch of bananas. The bananas cost $1.50, and the total cost w
    6·1 answer
  • Work out the area of this triangle.<br> 6 cm<br> 11 cm<br> 12 cm
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!