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
coldgirl [10]
3 years ago
9

The sum of three numbers is 11. the first number minus the second plus the third is 5. the first minus the third is 1 more than

the second. find the numbers.
Mathematics
1 answer:
Anestetic [448]3 years ago
5 0
X+y+z=11, x-y+z=5, x-z=y+1 and solve it by any of the methods: isolation, elimination or determinants. isolation (or back substitution, would be for instance: z = 11-x-y, z=5-x+y, z = x-y-1 and then impose z=z:
11-x-y=5-x+y,
11-x-y=x-y-1,

The first takes you to: 6=2y or y=3, then the second to 12=2x or x=6, so that:

x=6, y=3, z=2.

You can see that it checks out

You might be interested in
Find the linear equation in slope intercept form that passes through the points (5,3) and (2,-1)
padilas [110]

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{3})\qquad  (\stackrel{x_2}{2}~,~\stackrel{y_2}{-1}) \\\\\\ slope =  m\implies  \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-3}{2-5}\implies \cfrac{-4}{-3}\implies \cfrac{4}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=\cfrac{4}{3}(x-5)\implies y-3=\cfrac{4}{3}x-\cfrac{20}{3} \\\\\\ y=\cfrac{4}{3}x-\cfrac{20}{3}+3\implies y=\cfrac{4}{3}x-\cfrac{11}{3}

8 0
3 years ago
Read 2 more answers
Caleb makes $9.50 per hour babysitting. Last month, Caleb made $142.50 babysitting. Let h = the hours Caleb spent babysitting la
Elenna [48]

Answer:  about 15

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose the circumference of a circle is 4, pi. What is its diameter?
Vilka [71]
Your answer would be 4, because the equation for the circumference of a circle is π × diameter, so if you have 4 × π as the circumference, then 4 is the diameter.

I hope this helps!
3 0
3 years ago
Read 2 more answers
Will mark brainllest
telo118 [61]

a) The halfway number is \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

<u>Step-by-step explanation:</u>

a)Halfway number is otherwise Middle number.

The halfway number of two numbers = \frac{sum of two numbers}{2}.

The halfway for \frac{-2}{5} and \frac{-2}{5} = \frac{\frac{-2}{5}+ (\frac{-1}{2})}{2}.

=\frac{-2}{5}+ (\frac{-1}{2}).

= \frac{-4-5}{10}.

=\frac{-9}{10}.

∴Halfway =\frac{\frac{-9}{10} }{2}.

=\frac{-4.5}{10}

The halfway for \frac{-2}{5} and \frac{-1}{2}= \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

7 0
3 years ago
Translate 5 times a number decreased by 2 into algebraic equation.
iragen [17]

Hello from MrBillDoesMath!

Answer:             5n - 2  

where "n" is the number mentioned in the problem statement

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the product of −214 and 212?
    11·2 answers
  • A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,
    7·1 answer
  • Whats the product of (5r+2)(3r-4)
    14·1 answer
  • Juan is hiking up a mountain starting at an elevation of 800 800 feet. Every hour, he is 2000 2000 feet higher in elevation.
    15·2 answers
  • Enter an algebraic expression for the word expression.<br><br> The quotient of −8 and y
    5·1 answer
  • Can someone please help me with my homework:(
    14·2 answers
  • Please help me i dont understand
    7·1 answer
  • 20 point help.brainliest will be mark
    11·2 answers
  • NEED HELP QUICKLY! WORTH 100 POINTS!
    10·2 answers
  • Are these points collinear?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!