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Ipatiy [6.2K]
3 years ago
6

The new patio at Tonya's house is 5 yards long by 10 feet wide. She is going to cover the patio with square bricks that measure

1 foot on each side. If each brick costs $4, how much will Tonya pay for the bricks? A rectangle that is five yards long and ten feet wide A. $600 B. $120 C. $150 D. $200
Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Steps to take to determine the answer

  1. Because the length is in yards, it has to be converted to foot
  2. Find the area of the patio using the length and width measured in foot
  3. Determine the area of the square brick
  4. Multiply the cost of the brick by the area

1 yards = 3 foot

5 x 3 = 15 foot

Area of a rectangle = length x breadth

15 x 10 = 150 ft^2

Cost = 150 x 4 = $600

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Zepler [3.9K]

9514 1404 393

Answer:

  D.  2/5

Step-by-step explanation:

The slope is the x-coefficient when the equation is solved for y.

  2x -5y = 9 . . . . . . . given

  -5y = -2x +9 . . . . . .subtract 2x

  y = (-2/-5)x +9/(-5) . . . . divide by -5

  y = 2/5x -9/5

The coefficient of x is 2/5. That is the slope of the line.

The slope is 2/5.

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Step-by-step explanation:

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3 years ago
Look at the system of equations below.
Annette [7]

Answer:

Substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen. Therefore, elimination is the suitable method for solving this system.

Step-by-step explanation:

Let us consider the system of equation below.

4x-5y=3

3x+5y=13

Elimination method sounds the most appropriate option to solve the given system of equations as we can easily sort out an equation in one variable x in minimal steps by just adding the both equations as the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation, and we can determine an equation in one variable x.

Adding both equations will eliminate the y-variable and we can easily sort out the value of x from the resulting equation.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Adding Equation 1 and Equation 2

4x-5y+3x+5y=3+13

7x=16

x=\frac{16}{7}

Putting x=\frac{16}{7} in Equation [1]

4x-5y=3......[1]

y=\frac{43}{35}

Although substitution or graphing methods can also be used to bring the solution of the given system of equations, but using substitution or graphing method can be sometimes cumbersome or time-consuming as it would have to take some additional steps to solve the system.

For example, if we would have to use the substitution methods to solve the given system of equations, first we would have to solve one of the equations by choosing one of the equation for one of the chosen variables and then putting this back into the other equation, and solve for the other, and then back-solving for the first variable.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Solving the equation 2 for x variable

3x=13-5y

x=\frac{13-5y}{3}

Plugging x=\frac{13-5y}{3} in equation [1]

4(\frac{13-5y}{3}) -5y=3

y = \frac{43}{35}

Putting y = \frac{43}{35} in Equation 2

3x+5y=13......[2]

x = \frac{16}{7}

So, you can figure out, we have to make additional steps when we use substitution method to solve this system of equations.

Similarly, using graphing method, it would take a certain time before we identify the solution of the system.

Hence, from all the discussion and analysis we did, we can safely say that substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen.

Therefore, we agree with the student argument that Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.

Keywords: substitution method, system of equations, elimination method

Lear more about elimination method of solving the system of equation from brainly.com/question/12938655

#learnwithBrainly

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My answer is in the pic

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Answer:

Step-by-step explanation:

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