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SpyIntel [72]
3 years ago
5

Jean drove 70 miles per hour for a total of 420 miles on a trip. She used the equation below to calculate the time, t, it would

take her to complete the trip.
What is the constant of proportionality in the equation?
A.
6
B.
420
C.
t
D.
70
Mathematics
2 answers:
Ket [755]3 years ago
8 0

Answer:

D because she is constantly going 70 MPH

Step-by-step explanation:

hope this helps

il63 [147K]3 years ago
8 0

Answer:

D. 70

Step-by-step explanation:

Distance = k × time

70 = k(1)

k = 70

Distance = 70 × time

time to complete the journey:

420 = 70 × time

time = 420 ÷ 70

time = 6 hours

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225 grams of flour are needed to make 9 cakes.
Brut [27]
So basically, 9 cakes need 225 grams of flour
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3 years ago
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
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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.
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enot [183]


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BRAINLIEST TO CORRECT ANSWER
STatiana [176]

The area of the given figure is 38 square units

<h3>Area of a trapezoid</h3>

The area of the given trapezoid is expressed as:

A = 0.5(a+b)h

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h is the height

Substitute

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Hence the area of the given figure is 38 square units

Learn more on area of trapezoid here: brainly.com/question/1463152

#SPJ1

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