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abruzzese [7]
3 years ago
13

At a movie screening, there were 35 adults and 40 children. Using any ratio notation, write the ratio of adults to children.

Mathematics
2 answers:
xenn [34]3 years ago
8 0

Answer:

35:40 ; 35 to 40 ; 35/40

Step-by-step explanation:

iren2701 [21]3 years ago
4 0
35:40, 35/40, and 35 to 40
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Determine the equation of the line that is parallel to the given line, through the given point.
Verdich [7]

Answer:

y=-\frac{3}{2}x+1

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

3x+2y = 10

First, we must organize this given equation in slope-intercept form. This will help us identify its slope.

3x+2y = 10

Subtract 3x from both sides

2y = -3x+10

Divide both sides by 2

y = -\frac{3}{2} x+5

Now, we can identify clearly that -\frac{3}{2} is in the place of <em>m</em> in y=mx+b, making it the slope. Because parallel lines have the same slope, this makes the slope of the line we're currently solving for -\frac{3}{2} as well. Plug this number into y=mx+b:

y=-\frac{3}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=-\frac{3}{2}x+b

Plug in the given point (8,-11) and solve for b

-11=-\frac{3}{2}(8)+b\\-11=-\frac{24}{2}+b\\-11=-12+b

Add 12 to both sides

1=b

Therefore, the y-intercept of the line is 1. Plug this back into y=-\frac{3}{2}x+b:

y=-\frac{3}{2}x+1

I hope this helps!

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Answer:

Step-by-step explanation:

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