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
Maurinko [17]
2 years ago
8

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$

is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?
Just take the $ out
Mathematics
1 answer:
babymother [125]2 years ago
6 0

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

You might be interested in
PLEASE HELP FAST!! <br>1. Find x. Show your work.​
Taya2010 [7]

Answer:

X is right there

Step-by-step explanation:

See?

7 0
2 years ago
Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? (Negati
zavuch27 [327]

Answer:

X= 7

Y=5

I just took the test.

8 0
3 years ago
Read 2 more answers
Find the exact value of x. Round to the nearest tenth.
Lena [83]
X = 25

a^2 + b^2 = c^2
19^2 +16^ = c^2
617 = c^2
(Square root 617)
x=24.83
x=25
7 0
2 years ago
Hillary is sharing a box of candy with her friends. if there are b pieces of candy in the box being split between 3 people, whic
dolphi86 [110]

Answer:

the answer is A-  B/3 or B divided by 3

Step-by-step explanation:

7 0
2 years ago
Write the number with the same value as 32 tens
sukhopar [10]
30 tens + 2 ones = 32

Hope I helped :P 
7 0
2 years ago
Read 2 more answers
Other questions:
  • The difference of the product of a number, y, and 3 and 24 is 237. HOw do I write an equation write an equation
    5·1 answer
  • Solve the equation 1/2x=7/6
    9·2 answers
  • A bag contains 5 oranges, 4 bananas, and 3 apples. If Mr. Hall reaches in the bag and chooses one piece of fruit at random, what
    6·1 answer
  • Please help me with this question
    15·1 answer
  • What is the following simplified product? Assume x greater-than-or-equal-to 0
    8·2 answers
  • Write in expanded form 409,127
    5·1 answer
  • Which is smaller 2.5 or.5?
    13·1 answer
  • Help please and thank you ​
    6·1 answer
  • 2.
    9·1 answer
  • What is the answer for 2/3 + 1/4?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!