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Shtirlitz [24]
3 years ago
10

Solve each system by substitution: 3x+y=2 4x+y=20 How do I solve this and set this up

Mathematics
2 answers:
Sholpan [36]3 years ago
8 0
Solve the first equation for y.

3x+y=2

y=2-3x

Substitute

4x+(2-3x)=20

4x+2-3x=20

x=18
MissTica3 years ago
7 0
So you want to isolate one of the variables in one of the equations. Using the first equation, we can make 3x+y=2 y=2-3x.
Then plug y=2-3x into the second equation:
4x+(2-3x)=20
Then solve.
x+2=20
x=18
Finally, plug the x value back into any of the two equations to find y. This is essential to get full credit!
4(18)+y=20
72+y=20
y= -52

x=18
y= -52
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angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for th
Rina8888 [55]

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

  • The constant rate of change of the function is; <u>-5.25</u>
  • The two ordered pair used to find the constant rate of change are; <u>(1, 44.75) and (2, 39.5)</u>

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right]

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

  • Slope \ or \ constant \ rate \ of \ change  = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

Constant \ rate \ of \ change\  (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}

The constant rate of change for the function that gives the amount remaining in the lunch card is; <u>-5.25</u>

Learn more about the constant rate of change of a function here:

brainly.com/question/10007759

brainly.com/question/16644839

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2 years ago
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qwelly [4]
1200 ... i think this you mean
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3 years ago
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nikklg [1K]

Answer:

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Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

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there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

6 0
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Can you help with science homework​
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Answer:

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Step-by-step explanation:

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30 POINTS!!! Which choice is equivalent to the fraction below when x is greater than or equal to 3?
Mashcka [7]

Answer: C.

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Step-by-step explanation:

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2 years ago
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