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Ostrovityanka [42]
3 years ago
5

When placed end to end, three red rods are 2 cm longer than than 2 blue rods. Three blue rods are 2 cm longer than four red rods

. How long is each rod?
Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

Red = 10 cm, blue = 14 cm

Step-by-step explanation:

<em>Let the length of each red rod be </em><em>r </em><em>and each blue rod be </em><em>b</em>

<u>Then we have:</u>

  • 3r - 2b = 2
  • 3b - 4r = 2

<u>Multiply the first equation by 3 and the second one by 2:</u>

  • 9r - 6b = 6
  • 6b - 8r = 4

<u>Add the equations to eliminate one of variables:</u>

  • 9r - 8r = 6 + 4
  • r = 10 cm

<u>Find the value of b:</u>

  • 3*10 -2b = 2
  • 30 - 2 = 2b
  • 2b = 28
  • b = 14 cm

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Answer:

Step-by-step explanation:

40 = 5d

-Divide 5 by both sides by 5 which cancels 5 and leaves d but, then divide 40 by 5 which gives you 8.

D=8

-The information missing is how many gallons of gas he use in a day.

4 0
3 years ago
5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
Alexus [3.1K]

Answer: C

Step-by-step explanation:

the equation for X is

\frac{2+x}{2} =\frac{8}{1}  use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

\frac{-1+y}{2} =\frac{3}{1} use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

8 0
2 years ago
Due for 10:00am need help​
Sveta_85 [38]

Answer:

y=9b to the second power t over m

Step-by-step explanation:

should look like this

y=9b^2t/m

6 0
3 years ago
A javelin thrower is running at 7mph and throws her javelin at 18mph at an angle of 13o with the horizontal. Determine the resul
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Will I get any points?
5 0
2 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

4 0
3 years ago
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