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Feliz [49]
3 years ago
14

Which equation best represents the line of best fit for this set of data

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Well that’s what I gotta tell her I love her and I

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A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
Write the equation 2x-3y=6 in slope intercept form
Rasek [7]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the equation in standard form.

2x-3y=6      <em>subtract 2x from both sides</em>

-3y=-2x+6      <em>divide both sides by (-3)</em>

y=\dfrac{2}{3}x-2

8 0
3 years ago
Need help thanksssssssss
Archy [21]

Answer:

Volume: 112 m³.

Surface area: 172 m².

Step-by-step explanation:

The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.

The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.

2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².

Hope this helps!

4 0
3 years ago
measure the length of 10 color pencils to the nearest fourth inch.then make a line plot of the data.?
lesantik [10]
The answer is about 70 inch
4 0
3 years ago
Read 2 more answers
the seventh grade class is putting on a variety show to raise money. it cost 700 dollars to rent the banquet hall that they are
nexus9112 [7]

Answer:

Since the question is partial, i will assume 2 scenarios:

They need to raise 1000 income

They need to make 1000 as profit

If $1000 as income:

Each ticket costs $15, so  tickets would bring them $1000 income. Fractional ticket is not possible, so rounding gives us 67 tickets as the answer.

If $1000 as profit:

Their cost of renting is $700. We know that .

So, . So, to raise $1700, we need  tickets. Fractional ticket is not possible, so rounding gives us 114 tickets as the answer.

ANSWER:

If need to raise atleast $1000 as income, they need to sell 67 tickets.

If need to raise atleast $1000 as profit, they need to sell 114 tickets.

The most probable answer would be 114 tickets

PLZ MARK ME BRAINLIEST

4 0
3 years ago
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