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Dimas [21]
2 years ago
7

The scatterplot shows a linear relationship between the distance traveled and the time elapsed. What is the rate of change of th

e linear relationship?
For every increase in time by 1 hour, the distance increases
36 miles.
54 miles.
72 miles.
90 miles.

Mathematics
2 answers:
emmainna [20.7K]2 years ago
7 0
To solve the question we get the slope for the given  graph. This is given by:
slope,m=(change in y-values)/(change in x-values)
taking 2 points (1.25, 90) and (0.75,54) we get:
slope,m=(90-54)/(1.25-0.75)=36/0.5=72
The answer is:
72 miles
lukranit [14]2 years ago
5 0

Answer:

The answer is C. 72 miles.

Step-by-step explanation:

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Answer: The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

Step-by-step explanation:

Hi, to answer this question we have to solve the given equation: |x – 500| = 8.

The modulus can take a positive value (x - 500) or a negative value (-x+500).

  • <em>For the positive value: </em>

x -500 = 8

x = 8+500

x =508

  • <em>For the negative value: </em>

- (x -500) =8

-x +500 =8  

500 -8 = x

492 =x

So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

Feel free to ask for more if needed or if you did not understand something.

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2 years ago
Point S is on line segment \overline{RT}
Korolek [52]
Ummm let me see so what u have to do is
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It is 4.7 km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73°E. A ship has sailed due west from
Gennadij [26K]

Answer:

correct option is  C. 3.7 km

Step-by-step explanation:

given data

A to Port B = 4.7 km

lighthouse = N73°E

lighthouse = N31°E

solution

we get here first  \angle B and  

here

\angle A = 90 - 73 = 17°

\angle B =  73 - 31 = 42°

and

sum of all angle 180° so

\angle A +  

17° + 42° +  \angle C = 180°  

solve it we get

\angle C = 121°

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\frac{b}{sinB} = \frac{c}{sinC}   ........................2

put here value and we get

\frac{b}{sin42} = \frac{4.7}{sin121}  

solve it we get

b = 3,7 km

so correct option is  C. 3.7 km

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2 years ago
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
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<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

<u>To solve this, we divide both sides by 1.29: </u>
</span>\frac{1.29x}{1.29}<span> ≤ </span>\frac{20}{1.29}<span>;
x ≤15.5.

We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
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Anika [276]

Answer:

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Step-by-step explanation:

That's the answer.

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