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ankoles [38]
4 years ago
12

An airplane has flown 260 miles out of a total trip of 500 miles. What fraction, in simplest form, of the trip had been complete

d?
Mathematics
2 answers:
wolverine [178]4 years ago
8 0
260/500 = 130/250 = 26/50 = 13/25
you put the amount flown over the total amount and then factor from there! i first divided the 260 and 500 by 2 (since both of the numbers are divisible by 2), which gave me 130/250. then divided by 5, and lastly by 2. final answer, reduced completely, is 13/25. hope this helps!
mafiozo [28]4 years ago
3 0

\frac{260}{500}
Simplified.
\frac{13}{25}
Hope it helped! :D
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6 0
4 years ago
Every year, Alice's family runs the sand castle contest during the Fun in the Sun beach festival. Alice's job is to deliver empt
seropon [69]

Answer:

120 buckets

Step-by-step explanation:

If there are 15 teams and each team gets the same number of buckets (8 buckets as mentioned in the problem), then you can multiply 15 by 8 to get 120.

15 teams * 8 buckets = 120 total buckets

8 0
2 years ago
Part 2: Identify the vertex, focus, and directrix of each. Then sketch the graph.
Andre45 [30]

Answer:  \bold{1.\quad \text{Vertex}}:(-3,-6)\qquad \text{Focus}:\bigg(-3,-\dfrac{17}{4}\bigg)\qquad \text{Directrix}:y=-\dfrac{19}{4}

               2.  Vertex: (-5, 4)           Focus: (-6, 4)                 Directrix: x = -4

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k  or  x = a(y - k)² + h

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus
  • -p is the distance from the vertex to the directrix

    \bullet \quad a=\dfrac{1}{4p}

1) y = (x + 3)² - 6        →       a = 1      (h, k) = (-3, -6)

a=\dfrac{1}{4p}\qquad \rightarrow \qquad 1=\dfrac{1}{4p} \qquad \rightarrow \qquad p=\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-18}{4}+\dfrac{1}{4}\\\\.\qquad = -\dfrac{17}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(-3,-\dfrac{17}{4}\bigg)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=\dfrac{-18}{4}-\dfrac{1}{4}\\\\.\qquad \quad y= -\dfrac{19}{4}

****************************************************************************************

2.\quad x=-\dfrac{1}{4}(y-4)^2-5\qquad \rightarrow \quad a=\dfrac{1}{4}\qquad (h, k)=(-5,4)

a=\dfrac{1}{4p}\qquad \rightarrow \qquad -\dfrac{1}{4}=\dfrac{1}{4p} \qquad \rightarrow \qquad p=-1\\\\\text{Focus = Vertex + p}\\\\.\qquad =-5+\ -1\\\\.\qquad = -6\qquad \rightarrow \qquad \text{Focus}=(-6,4)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=-5+\ -1\\\\.\qquad \quad y= -4

7 0
4 years ago
Given: y = 3x - 4.<br> What is the x-intercept? <br> (0, -4)<br> (0, 4/3)<br> (4/3, 0)
lyudmila [28]
The x-intercept is a point whose y-coordinate is 0, so (x,0).
Substitute 0 for y in the equation:
y=3x-4 \\ 0=3x-4 \\ 4=3x \\ x=\frac{4}{3}

The x-intercept is (\frac{4}{3}, 0).
4 0
4 years ago
Read 2 more answers
Solve this in a paper
SVEN [57.7K]

Answer:

124,416

Step-by-step explanation:

if you write this calculation in your calculator it will give you 124,416

6 0
4 years ago
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