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Misha Larkins [42]
4 years ago
8

Nick and his cousin Sara have the same birthday, but Nick is is eight years older than Sarah. Let the variable x represents nick

s age and y represents Sara’s age. Which graph represents the relationship between nicks age and Sara’s age

Mathematics
1 answer:
Archy [21]4 years ago
3 0
X = Nick's age
y = Sara's age

Nick is 8 years older than Sara, therefore
y = x - 8

A graph of y versus x is shown below.

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Solve for the following system by using Elimination4x-2y=86x+6y=30
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System

\begin{gathered} 4x-2y=8 \\ 6x+6y=30 \end{gathered}\begin{gathered} 3(4x-2y)=8 \\ 6x+6y=30 \\  \\ 12x-6y=24 \\ + \\ 6x+6y=30 \\  \\ 12x+6x-6y+6y=24+30 \\ 18x=54 \\ x=3 \end{gathered}

Now, for y

\begin{gathered} 4x-2y=8 \\ -2y=8-4x \\ 2y=4x-8 \\ y=\frac{4x-8}{2} \\ y=\frac{4\cdot3-8}{2} \\ y=\frac{12-8}{2} \\ y=\frac{4}{2} \\ y=2 \end{gathered}

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Complete the point-slope equation of the line through (1,0) and (6,3). Use exact numbers. y-(-3)=
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Answer:

point-slope equation of the line through (1,0) and (6,-3). Use Exact Numbers

Step-by-step explanation:

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3 years ago
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Solve for t.
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Answer:

  -5

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

  -35 = -(7×5) = 7×(-5)

Then comparing to the given equation, you realize ...

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Or, you can recognize 7 as the coefficient of t and divide both sides of the equation by that:

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Paul has 2/3 as many postcards as Shawn. The number of postcards Shawn has is 4/5 of the number of postcards Tim has. If the thr
ahrayia [7]

Tim has 56 more postcards than Paul.

Step-by-step explanation:

Total postcards boys have = 280

Let,

x = Paul's postcards

y = Shawn's postcards

z = Tim's postcards

According to given statement;

x + y + z = 280      Eqn 1

x=\frac{2}{3}y                   Eqn 2

y = \frac{4}{5}z                   Eqn 3

Putting value of y from Eqn 3 in Eqn 2

x=\frac{2}{3}*\frac{4}{5}z\\\\x=\frac{8}{15}z            Eqn 4

Putting value of x and y from Eqn 4 and Eqn 3 in Eqn 1

\frac{8}{15}z+\frac{4}{5}z+z=280\\\\\frac{8z+12z+15z}{15}=280\\\\\frac{35z}{15}=280\\\\

Multiplying both sides by \frac{15}{35}

\frac{15}{35}*\frac{35}{15}z=280*\frac{15}{35}\\z=120

Putting z=120 in Eqn 3

y=\frac{4}{5}*120\\y=96

Putting y=96 in Eqn 2

x=\frac{2}{3}*96\\x=64

Difference of Tim and Paul = 120-64 = 56

Tim has 56 more postcards than Paul.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10557938
  • brainly.com/question/10600222

#LearnwithBrainly

7 0
3 years ago
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