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elena-s [515]
3 years ago
12

What is the relationship among proportional relationships, lines, rates of change, and slope?

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
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The ratio of boys to girls at a movie is 4:7. If there are 21. girls, how many boys are
IrinaVladis [17]

Answer:

12

Step-by-step explanation:

7*3=21 so 4*3=12

3 0
3 years ago
Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different ans
amm1812
\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\
-------------------------------\\\\
\textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4}
\\\\\\
\textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}

\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x}
\\\\\\
\textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x
\\\\\\
thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.
3 0
3 years ago
Read 2 more answers
The points R(−4, −1) and S(2, −5) are two vertices of right triangle RST. The hypotenuse of the triangle is RS.
Norma-Jean [14]
      If RS is the hypotenuse of the triangle RST and point T is in Quadrant 3, then point T must be the intersection of the lines: x = - 4 and y = - 5.
       Therefore, the coordinates of point T are ( x, y ) = ( - 4, - 5 ) 
       Answer:
       T ( - 4, - 5 )
3 0
3 years ago
Read 2 more answers
7x + 2y=24<br> 8x + 2y=30
Bumek [7]

Answer:

x=6 y=-9

Step-by-step explanation:

  • Layer the equations on each other as you would in a subtraction problem:

               8x + 2y=30

               7x + 2y=24  

  • Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
  • Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

               42+2y=24 then

               2y=-18 then

               y=-9

  • Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

3 0
3 years ago
MATH: GRAPHS AND FUNCTIONS 3. HELP! 12 PTS (HARD)
JulijaS [17]

Answer:

Step-by-step explanation:

4 0
2 years ago
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