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Paha777 [63]
3 years ago
12

Use two sets of coordinates to write an equation to describe the relationship.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer/Step-by-step explanation:

An equation that describes the relationship can be written as y = mx.

Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:

\frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70

Substitute m = 70 into y = mx

The equation would be:

y = 70x

This equation can be interpreted as follows:

The heart's resting rate is 70 beats each minute.

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How to convert 120 barrels to quarts
umka21 [38]

The conversion factors are 42 gallons in a barrel

4 quarts = 1 gallon. I use unit analysis to get answers for questions like these.

\dfrac{120barrels}{1} * \dfrac{42 gallons}{1 barrel} * \dfrac{4 quarts}{1 gallon}

All the units are in the numerator. There are 120 * 42* 4 = 20160 quarts in 120 barrels.

4 0
4 years ago
pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b
goldenfox [79]

Answer:

15 mph

Step-by-step explanation:

Given: Boat took 2 hours to reach Town A going upstream.

           Speed of stream= 3 mph

           Time taken to reach back home= 1 hours 20 minutes

Lets assume distance covered one side be "d" and speed of boat in still water be "s".

∴ Speed of boat in upstream= (s-3) \ mph

   Speed of boat in downstream= (s+3)\ mph

Also converting into fraction of time taken to reach back home.

Remember; 1 hour= 60 minutes

∴ Time taken to reach back home= 60+20= 80\ minutes

Converting time given into fraction= \frac{80\ minutes}{60\ minutes} = \frac{4}{3} \ hours

hence, Time taken to reach back home is \frac{4}{3} \ hours

Now forming equation of boat travelling upstream and downstream, considering distance remain constant.

We know, Distance= speed \times  time

⇒ (s-3)\times 2= (s+3)\times \frac{4}{3}

Using distributive property of multiplication

⇒2s-6= \frac{4}{3}s +4

subtracting both side by \frac{4}{3} s

⇒2s-\frac{4}{3} s-6= 4

Adding both side by 6

⇒ 2s-\frac{4}{3} s= 10

taking LCD as 3

⇒ \frac{2}{3} s= 10

Multiplying both side by \frac{3}{2}

⇒s= \frac{3}{2} \times 10

∴s= 15 mph

Hence, 15 mph is the speed of the boat in still water.

8 0
4 years ago
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rodikova [14]

Answer:

13.5 this is the awnser hope it helps

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2 years ago
you need 1661.06 ft2 of carpet to completely cover the floor or a round room. what is the diameter of the room.
k0ka [10]

Answer:

56766.97

Step-by-step explanation:

6 0
3 years ago
What is 194 in radical form
Julli [10]
194 in radical form is just √194. I don't believe any square roots go into it. Hope that helps. :)
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