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
Troyanec [42]
3 years ago
10

the sum of three numbers is 2100. the first number x is equal to the sum of the other two (y and z) which are equal to each othe

r. what are the three numbers x,y and z
Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
We will have a system of equations, and we are going to solve it by using substitution.
Let's make the equations.
x+y+z=2100
z+y=x
Since y and z are equal, I think it is easier for us to have them as one variable for now. Let the value of z and y be a.
These are the equations now.
x+2a=2100
2a=x
Since the second equation is giving the value of x, let it replace the value of x also in the first equation.
2a+2a=2100
4a=2100
2100÷4= 525
so, x and y equal 525. Let's put this in our original equation.
x+525+525=2100
x+ 1,050= 2,100
x= 1,050
So, x=1,050, y= 525 =z.

You might be interested in
Graph the function in the image.
il63 [147K]

Answer:

Here is the graph to the intercepts.

Step-by-step explanation:

Graph of (6, 4), (4, 3), (-2, 0)

Hope it helps :)

8 0
3 years ago
Write an inequality to model the situation.<br><br><br> A number exceeds 21
mezya [45]
It could be x > 21 im not sure
8 0
3 years ago
((PLEASE HELP ASAP!! D:)) Natasha bought a tennis racket that was marked down in price, p, by 20%. Write an expression with TWO
kumpel [21]

Answer: p - 0.2p

Step-by-step explanation:

Given the following :

Original Price of tennis racket = p

Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p

Amount after discount = Amount paid by Natasha

Amount after discount = Original price - Discount

Amount after discount = p - 0.2p

Amount paid by Natasha = p - 0.2p

7 0
3 years ago
The Arnold family arrived at the beach at
AlekseyPX

Answer:

13:30 military time, 1:30 normal time.

8 0
3 years ago
Read 2 more answers
Need all these tomorrow!!!!! thank you all soooooOOOOOOooOoOOooOOoO much!!!!!
nordsb [41]
1.) 6% of 38 1% of 38 = 3.8 ( you just move the decimal placement over by one. 1% * 6 = 6% 3.8 * 6 = 6% 3.8 * 6 = 22.8 6% =22.8 2.) 5% of 90 90/5 = 5% 90/5 = 18 18 = 5% 3.) 15/5 = 9/x 15/5 = 3 3 = 9/x (nine divided by ? is three?....3!) 3 = 9/x(3) 3 = 9/3 3 = 3 x = 3 4.) 1/12 = .8/x Multiply each side by ten. 1/12 * 10 = 5/6 .8/x * 10 = 8/x 5/6 = 8/x Cross Multiply (switch the second numbers around) 5x = 6*8 Simplify 5x = 48 Divide both sides by 5 to get x by itself 5x/5 = x 48/5 = 9.6 *Whoo last problem lol* 5.) A three liter bottle costs $2.97 what is the unit rate. Well the unit is the object we're talking about, in this case a liter bottle. The unit rate is how much it costs or is per unit. Now that that's out of the way... 3L = 2.97 Like the other problems we want to get x by itself, so we'll divide by three) 3L/3 = L 2.97/3 = .99 L = .99 The Unit Rate is $0.99 per liter bottle. Hope this helped :)
3 0
3 years ago
Other questions:
  • What is 4.4 in fraction form
    6·2 answers
  • Please help with the image!! Use the Exterior Angle Theorem to find the measure of each angle. 83 points!!!!!!
    14·2 answers
  • Diego has 4 times as many autographed baseballs as Melnie has.Diego has 24 autographed baseballs. How many autographed balls doe
    9·2 answers
  • You score 63 out of 75 on your first test. after your second test your teacher tells you your test average is 88%. the second te
    8·1 answer
  • Would you use more of centimeters or meters to measure a car? Explain
    9·2 answers
  • What is x given angle ABC~ angle DBE~ ?
    14·2 answers
  • ABCD. If AB=5x and CD=3x + 10, find CD<br> A. 25<br> B. 2<br> C. 5<br> D. 20
    14·2 answers
  • What is the original list price if the didcount is $35 and the discount price is 10%?
    9·2 answers
  • A pattern rule is square, triangle, circle, oval. What is the 50th shape?
    15·1 answer
  • At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!