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
Citrus2011 [14]
3 years ago
11

Solve the system by elimination 1: x+5y-4z=-10, 2x-y+5z=-9, 2x-10y-5z=0 .. . 2. Solve the system by substitution: 2x-y+z=-4, z=5

, -2x+3y-z=-10. . . 3. A food store makes a 11–pound mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almonds. The total cost of the mixture is $21.00. How much of each ingredient did the store use?
Mathematics
1 answer:
Kryger [21]3 years ago
8 0
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x -  y    + 5 z = -9
---------------------------
       - 11 y + 13 z = 11  /  * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
   2 x - 10 y - 5 z = 0
-----------------------------
         - 20 x + 3 z = 20  /  * 11
        ----------------------------------
         220 y - 260 z = -220
        - 220 y + 33 z = 220
        ------------------------------
                       z = 0,      y = -1,        x = - 5
2 )  
       2 x - y + 5 = -4
       - 2 x + 3 y - 5 = - 10
       Substitution: y = 2 x + 9
       - 2 x + 3(2 x + 9 ) = -5
        4 x = - 32,          x = -8,    y = -7,   z = 5
3 )
      x + y + z = 11
   1.5 x+3 y +1.5 z = 21
      x = 2 y
   ------------------------
      3 y + z = 11  / * (-2)
      6 y + 1.5 z = 21
    ------------------------
     - 6 y - 2 z = -22
       6 y + 1.5 z = 21
      ------------------------
                 -0.5 z = -1,           z = 2,   y = 3,   z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins. 
           
You might be interested in
Please answer the question
Lunna [17]
A since 19 x 29= 551 and 551/375 is around 1.5
4 0
3 years ago
This rectangular prism is intersected by a plane that contains points N, P, U, and R.
Kruka [31]
The answer is 44.3 ft.

4 0
3 years ago
Read 2 more answers
There are 9 shipping boxes and each of these boxes has 19 shoe boxes, and each shoe box has 2 shoes. Which of the following is a
Reptile [31]
2 shoes in each box * 19 shoe boxes = 38 shoes

38 shoes * 9 shipping boxes would be 342 shoes in all

A good estimate would be around 342. Hope that helps
4 0
3 years ago
Read 2 more answers
Suppose that the local sales tax rate is 5 %
bazaltina [42]

Answer:

A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370

=$28,770

Step-by-step explanation:

4 0
2 years ago
The equation of a circle is (x - 3)^2 + (y + 2)^2 = 25. The point (8, -2) is on the circle.
Jlenok [28]
From the equation, you can see that (3,-2) is the center of the circle (the terms are 0 for those x,y values). The mentioned point has the same y value as the center. That's good news, because it tells us that the tangent line is exactly vertical. The x coordinate is given as x=8. Vertical lines have an equation of x=... so x=8 is the right answer.
8 0
3 years ago
Read 2 more answers
Other questions:
  • A rabbit runs 35 Miles per hour. Select the animals who run at a faster unit rate per hour than the rabbit. Mark all that apply
    8·1 answer
  • Sebastian is at the market buying apples and oranges he buys 2 2/5 less apples and oranges if he buys three 1/4 kilograms of ora
    15·2 answers
  • Solve for x. <br><br> x = ___°
    7·1 answer
  • ☺
    15·1 answer
  • What is the value of f(3) if f(x) = 6x - 5 ?
    12·1 answer
  • Colin invests £100 into his bank account.
    8·2 answers
  • Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of
    6·1 answer
  • How can you recognize linear change from a graph, an equation, a table, or in a real world situation?
    5·1 answer
  • Complete the statement to describe the expression abc + def. the expression consists of _____ terms and each term _____ factors
    5·1 answer
  • A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!