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Paladinen [302]
3 years ago
5

The ratio of blue marbles to red marbles is 5:3. If you have

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

15

Step-by-step explanation:

9/3=3, 3x5=15

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The table below represents the distance of an airplane from its destination as a function of time:
Jlenok [28]
\bf \begin{array}{ccllll}
time(hours)&distance(miles)\\
-----&-------\\
0&2700\\
1&2160\\
2&1620\\
3&1080\\
4&540
\end{array}

part A)

y-intercept is when the graph "intercepts" or touches the y-axis, and when that happens, x = 0, on that table, is the very first row, 0, 2700.

what does that mean? well, at 0 hours, the plane was 2700 miles away.
or another way to put it, the plane was still on the runway at the airport and hadn't taken off at 0 hours, and the airport where it was is 2700 miles away from its destination.

part B)

from the table, we can see the x = 1, y = 2160, and when x = 4, y = 540,
so our two points are (1, 2160) and (4, 540).

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 1}}\quad ,&{{ 2160}})\quad 
%   (c,d)
&({{ 4}}\quad ,&{{ 540}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{540-2160}{4-1}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}
\\\\\\
\cfrac{-1620}{3}\implies \boxed{-540}

or -540/1, well the top is the rise(miles) and the bottom is the run(hours)... so it means -540 miles per each 1hour,
or
for every passing hour the plane is travelling, the distance from its origin and its destination is shrinking, namely, is getting closer to its destination.

part C)

well, we know for every hour is dropping by 540, so, 4hrs is 540, so 5hours it will drop another 540, or 540 - 540 = 0

so, the domain will be [0, 5], since after 5hours it'd be at its destination, because at 5hrs the miles away is 0, meaning it arrived at the destination.
6 0
3 years ago
Read 2 more answers
In 2002 Winter Olympics, Cartriona LeMay Doan won the 500-meter race. Her winning time was 74.75 seconds. Find hee average speed
mafiozo [28]
500 / 74.75 = 6.7 meters per second
5 0
4 years ago
Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25
Alborosie
Hello

there is a base charge of 10 (+10)
and each ticket is multiplied by 0.25 (0.25t)

10+0.25t

hope this helped :)

4 0
3 years ago
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Planes X and Y are perpendicular. Points A,E,F and G are points only in plane X. Points R and S are points in both planes X and
Viefleur [7K]

Answer:

FG

Step-by-step explanation:

I did this on my computer

6 0
3 years ago
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Suppose you pick and replace marbles from a bag, one after another. If the bag contains 3 red marbles, 3 white marbles, and 6 bl
alexandr402 [8]

Answer:

I think you forgot part of the question

Step-by-step explanation:

8 0
3 years ago
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