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
AnnyKZ [126]
3 years ago
8

Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05." Write a system

of equations to describe the relationships between the quantities in Kiran's statement. Let x represent red lentils and let y represent yellow lentils.
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

The system of equations is given as:

x + y = 2.5 .... Equation 1

1.8x + 1.8y = 4.05....Equation 2

Step-by-step explanation:

Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05

Let

x represent red lentils

y represent yellow lentils.

x + y = 2.5 .... Equation 1

x = 2.5 - y

$1.80 × x + $1.80 × y = $4.05

1.80x + 1.80y = 4.05....Equation 2

The system of equations is given as:

x + y = 2.5 .... Equation 1

1.8x + 1.8y = 4.05....Equation 2

You might be interested in
Can someone tell me the formula i would use for this and how to solve through?
timama [110]
Since they are congruent, cpctc,
just set the congruent parts equal to each other. 
so 2x-20=30
and
15=3y-9
3 0
3 years ago
PLEASE HELP ME!!!!!!
Nata [24]

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

8 0
2 years ago
The electric bill in may was $215.00 In June the bill was $274.00 What is the percent of increase rounded to the nearest tenth ?
Murljashka [212]
You can complete this by solving:
215 + 215(x) = 274
Which should give you .274418 or 27.44%
4 0
3 years ago
Solve the simultaneous equations: <br> 5x + 2y = 17<br> 4x + y = 10
erik [133]

Answer:

(1, 6 )

Step-by-step explanation:

5x + 2y = 17 → (1)

4x + y = 10 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 8x - 2y = - 20 → (3)

Add (1) and (3) term by term to eliminate y

- 3x + 0 = - 3

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for x

Substituting into (1)

5(1) + 2y = 17

5 + 2y = 17 ( subtract 5 from both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (1, 6 )

8 0
2 years ago
Jessica reads a story about a turtle that swam 16 feet in 24 seconds. She assumes that the time, t, that it takes the turtle to
Monica [59]
You would start by figuring out the distance the turtle swims every second by dividing 24 by 16.
24➗16=1.5
From this we can take the numbers from either T: 1, ___, 24, 45 or D: ___, 10, 16, ___ to figure out the blank spaces for the other using multiplication or division. Divide T by 1.5, or multiply D by 1.5 to find the other

T: 1, 15, 24, 45
D: 1.5, 10, 16, 30
6 0
2 years ago
Other questions:
  • What is the value of z so that-9 and 9 are both solutions of x^2+z=103?
    14·1 answer
  • What is the solution to this equation 5x -8(x + 5)= 6-3x
    13·1 answer
  • What is the name of the relationship between 1 and 4? Parallel Lines and Transversals A. corresponding angles B. alternate inter
    9·1 answer
  • What is the cube root of (5x^3)(4x)^3?
    10·1 answer
  • Please help me with this homework
    10·1 answer
  • Upon what does the force of gravity between two objects depend? The amount of attraction between the two objects A
    9·1 answer
  • Find the area of the shape below. GUS PLEASE HEL​
    15·2 answers
  • 22. It takes Lynn 4 ¾ hours to drive to her grandmother's house. If she has already driven 2 ½ hours, how much longer will it ta
    9·1 answer
  • A Labrador retriever club has 130 members: 65 black Labs, 44 golden Labs, and 21 chocolate Labs. Pablo is going to perform a chi
    11·1 answer
  • Which number has the greatest absolute value?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!