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Natasha_Volkova [10]
3 years ago
9

First to answer correctly gets brainliest

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

240 \leq 12.5p + 65

14 \leq\\ p

Step-by-step explanation:

I'll explain the equation in different parts

12.5p - Since the number of times he visits is unknown, it has to be a variable. With each visit, however, he earns 12.5 points.

65 - This is a set value that remains constant

240 \leq\\ - Since he needs AT LEAST 240 points, he needs 240 points or more to get his free ticket

As for solving the equation just use properties of equality

240 \leq 12.5p + 65

175 \leq 12.5p

14 \leq\\ p

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A plane travels 200km at 150 km/h, 300km at 200 km/h and 400km at 250km/h all at a constant speed.
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\leqAnswer:

Step-by-step explanation:

The distance, D, is given by the speed, S, times the time, T:  

D = S*T

<u> D </u>     <u>    S*T  </u>         <u>     Time     </u>      <u>Equation for each segment</u>

200 =  150T1  T1 = 1.33 hr       y=150x         0  \leq T \leq 1.33  hr

300 = 200T2  T2 = 1.5 hr       y=200x     1.33 \leq T \leq 2.83  hr

400 = 250T3  T3 = 1.6 hr       y=400x     2.83 \leq T \leq 4.43  hr

The graph can be drawn as three lines, ione each for the three segments, each having the slope shown in the equation for that segment and extending between the range of values for T (which is the "x" in the equation and on the graph).  The y axis will be ditance, in km.

The overall speed is the total distance divided by the total time:

    D(km)      T(hr)

1)     200       1.33

2)    300       2.83-1.33 = 1.5

3)    <u>400</u>       <u>4.43-2.83 = 1.6</u>

      900 km          4.43 hr

(900 km)/(4.43 hr)

Average speed = 203.01 km/hr

4 0
3 years ago
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Step-by-step explanation:

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The science museum sells dinosaurs models to the town school and town library for $ 105 each. The town library buys 4 models. Th
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Solution:  

The science museum sells dinosaurs models to the town school and town library for $105 each.  

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Answer:

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Step-by-step explanation:

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