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saul85 [17]
3 years ago
9

Ian wants to run 4 1/2 miles to get ready for his upcoming race. He has set up 3 markers the same distance apart to show how far

he has run. How far apart are the markers?
A 3/2
B15/2
C27/2
Mathematics
1 answer:
nlexa [21]3 years ago
3 0

im pretty sure it would be A 3/2

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A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th
Temka [501]
The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}

solve for "c", to see what's the current's speed

what's "b"?  well 20+c = b
4 0
3 years ago
Using f for the number of friends. Write an expression to represent how much Jack and Jenn will spend on breakfast if everyone g
antoniya [11.8K]

Answer:

$1.25f + $0.75f

Step-by-step explanation:

The cost of one bagel is $1.25 and cream cheese costs $0.75 per person. The total amount Jack and Jenn will spend on breakfast depends on the number of friends that eat breakfast.

to get the total amount spent on breakfast, multiply the cost of bagel by the number of friends and the cost of cream cheese by the number of friends. Add these numbers

The total amount spent on food = $1.25f + $0.75f

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Answer: wouldn't be 1608.5? let me know if im wrong.

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7 0
3 years ago
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andre [41]

Here, we have to examine the equation of the straight line which is denoted by: y = m x +c where "m" is the slope which represents the steepness and c is the y-intercept

Here, the two linear functions have the same slope "m" and the same y-intercept "c". When both these are the same, the two linear functions are representing the same straight line.

Therefore, Jeremy is correct in his argument.


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3 years ago
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Answer:

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