two speedboats leave the dock at the same time and travel in opposite directions. one travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat travelling ?

Answers

Answer 1

Answer: [tex]\frac{170}{X}[/tex]+[tex]\frac{170}{X-9}[/tex]=2

(=)17 0x +170x+1530=2x²+18x

(=)-2 x² +322x+1530=0

Δ=b²-4ac

Δ=115924

[tex]\sqrt{}[/tex]Δ=340,476>0

because Δ>0 so that 2 X

=>x₁=2 (true), x₂=-161(false)

X+9= 2+9=11

first travel 2 mi/hr

second travel 11 mi/hr

Step-by-step explanation:


Related Questions

find the vaalue of x 3x+ y+ 2z= -10 x+5y+2y+2z= -12 -2x+3y= -1

Answers

x+7y+2z=−12

I'm not 100% sure though

Plz Help! A B C or D. I already pressed one but I dont know which one​

Answers

Answer:

D. y = 50

Step-by-step explanation:

Both of the points have same y- coordinate of 50.

It means the slope is zero and the line is parallel to the x- axis.

The line has equation:

y = 50

Correct choice is D

Slope

m=50-50/25+25m=0

Points are parallel

Equation

y=50

guy pls help me!!!!!

Answers

it’s 63 degrees because the square is 90 degrees the other one is 27 degrees so add them and subtract from 180 because there is 180 degrees in a triangle

If a horse runs 3/4 km in a minute, how many kilometers will the horse run in 7 minutes?

Answers

A lot of kilometers beans
3/4(7)= 21/4 or 5 1/4 km

What is the missing integer?

Answers

Answer:

The answer would be negative 1

Answer:

-1+3=2

Step-by-step explanation:

answer:-1

Find what % of 54 is 6

Answers

Answer:

11.11%

Step-by-step explanation:

6/54 x 100

=11.11

how do you solve this and what is the answer?

y-3=5/2(x-3)

Answers

I hope this is right

Please look at the pic if im wrong please let me and show me where i was incorrect from my math.Thank you.Btw when i was trying to solve the problem I noticed that there was 2 miles left then i didn't know what to do.

Answers

Answer:

294

Step-by-step explanation:

divide 84 by 4 to get how many miles they travel per hour, then multiply by 14 hours

Answer:

294

Step-by-step explanation:

first you will multiply 84 by 14 and divide by 4

Please help me with this PLEASE

Answers

Answer:

The slope is 5/3

Step-by-step explanation:

-3 over to 0 is 3, so you get the run.

-2 up to 3 is 5, so you get the rise.

Slope is rise over run, which gives the answer of 5/3.

Good luck!

|8w+5|=21
please show work

Answers

Answer:

w=-13/4

w=2

Step-by-step explanation:

|8w+5|=21

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |8w+5| = 21

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |8w+5|

For the Negative case we'll use -(8w+5)

For the Positive case we'll use (8w+5)

STEP

3

:

Solve the Negative Case

     -(8w+5) = 21

    Multiply

     -8w-5 = 21

    Rearrange and Add up

     -8w = 26

    Divide both sides by 8

     -w = (13/4)

    Multiply both sides by (-1)

     w = -(13/4)

    Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

     (8w+5) = 21

    Rearrange and Add up

     8w = 16

    Divide both sides by 8

     w = 2

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

w=-13/4

w=2

what is the slope of a line b perpendicular to line a with equation y=7x-9

Answers

Answer:

The slope of line b would be -1/7.

Step-by-step explanation:

This happens because if you have the slope of any line and are trying to find the perpendicular line to said line, the slope of the perpendicular line will always be the opposite reciprocal of the original slope.

Then, all you need to do is find some points and graph the lines.

PLEAS EHELP ME I AM BEGGING YOU!!!!!!! EXTRA POINTS AND BRAINLIEST

Answers

1. v= 0.013m/s

t = 60 seconds

d = v×t

= 0.013×60

= *0.78 m*

2. v= 17.6 m/s

d= 100m

t = d/t

= 100/17.6

= *5.68 s*

In the year 2015 Emily was three times as old asKaitlin. By the year 2021 Kaitlin will be half asold as Emily will be. How old was Emily on theyear 2000?

Answers

In 2000 Emily was 9 years old.

Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:

2015 = E = 3K 2021 = E = 2K  24 /// 8 --- 30 /// 14 18 /// 6 --- 24 /// 12 18/6 = 3 24/12 = 2 2015 = Emily was 24 years old 24 - (2015 - 2000) = X 24 - 15 = X 9 = X

Therefore, in 2000 Emily was 9 years old.

Learn more in https://brainly.com/question/20025195

y-6=-4(x+4) show steps.

Answers

Answer:

y = -4x - 10

Step-by-step explanation:

y-6=-4(x+4)

1: distributive property

y-6= -4x - 16

2: add 6 both sides

y = -4x - 10

m/_GFN = 4x+10, m/_NFE= 14x+3, and m/_ GFE=157°. Find m/_NFE. PLEASE EXPLAIN Thoroughly!!

Answers

Answer:

4x+10+14x+3=157

18x+13=157

18x=157-13

18x = 144

X = 144 /18

X= 8

NFE= 14x+3

= 14(8)+3

=112+3

=115

Step-by-step explanation:

Felix buys 5 kilograms of corn tortilla chips. How much does he spend?

Answers

Answer:

$10

Step-by-step explanation:

5 times $2 equals $10

Answer:

$10

Step-by-step explanation:

Each kg of corn tortilla chips: $2

5 kgs of corn tortilla chips: 5*2

= $10

Hope this helps and have a wonderful time ahead at Brainly! :D

The pet boarder keeps a dog to cat ratio of 5:2. If the boarder has room for 98 animals, then how many of then can be dogs?

Answers

for every 5 dogs, there are 2 cats.
if there is room for 98 animals, there would be 70/98
so 5 for every 7= x/98

help with the top one please?

Answers

Answer:

30 pages per hour.

Step-by-step explanation:

Okay so they read 1 1/2 pages per hour right. And you need 20/20 to make 1 hour right. So all you have to do is multiply 1 1/2 by 20 and you got your answer.

which angles are alternate interior angles​

Answers

Answer:

2nd

Step-by-step explanation:because

What do you add to
2 1/5 to make 5

Answers

Answer:

Another 2 1/5

Step-by-step explanation:

2.5 + 2.5 = 5.0 (You don't have to put the .0)

Another example would be:

5.5 + 5.5 = 11.0 (Again, you do not have to put the .0)

- Hope this helps (:

pls help! reporting fake answers!! :)

Answers

Answer:

for #1... 5 cups of yellow paint

Step-by-step explanation:

If 2 blue need ten yellow then 1 blue would need half what 2 needs so 5 yellow for 1 blue

plsssssssssssssss helppppppppppppppppppppp

Answers

Answer:

It would be (2,8)

Step-by-step explanation:

x goes up by 1 and y goes up by 2

N = d + h + z

7

for h

A. h = 7(N - d-z)

c. h = 7N â€" 4 â€"z

B. h = 7N + 7d + dz D. h = 7N + d + z

Answers

Answer:

I prefer A is the option that suits this question

what is the numerical expression for 3 - 0 x 5 - 0 ?

Answers

I gotten this question before the answer is 3

Planes T and X are parallel. Plane T contains like a. plane x contains line b

Answers

Answer:

c lines

Step-by-step explanation:

5) A rectangular piece of paper is 10cmn long and 5cm broad.find its area,​

Answers

Area=L•W
10cm•5cm= 50cm^2

A car rental agency advertised renting a car for $ 26.95 per day and $ 0.28 per mile. if brad rents this car for 3 days, how many whole miles can he drive on a $ 250 ​budget?

Answers

Answer:222.38

Step-by-step explanation:26.95x0.28 x3

Answer:

604 miles

Step-by-step explanation:

he has to pay 80.85 for 3 days (26.95 x 3)

250 - 80.85 = 169.15 (money left)

169.15 ÷ 0.28 = 604 (with many decimals)

604 whole miles

linear or non linear?​

Answers

Answer:

non linear

Step-by-step explanation:

when you graph it, the line is a zero slope

non linear because no x has the same number

A local foundation organized a lunch party for all the kids in the community. They ordered a total of 500 burger meals. They ordered plain burgers at $1.75 each cheeseburgers at $2.50 each, and chicken burgers
at $3.20 each. They ordered mostly cheeseburgers, and 100 fewer chicken burgers than plain burgers. The total order came to $1.172.50.
Define the variables and write a system of equations to represent the
situation.

Answers

9514 1404 393

Answer:

x + y + z = 5002.50x +1.75y +3.20z = 1172.500x +y -z = 100

Step-by-step explanation:

Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.

We have three relations given. Each can be used to write an equation.

  x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered

  2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost

  0x +y -z = 100  . . . . . . . . . . 100 fewer chicken were ordered than plain

_____

Additional comment

We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.

  [tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]

The solution is (x, y, z) = (300, 150, 50).

Sally paid $3.50 for 7 apples.

Answers

Answer:

each apple costs 50 cents

Step-by-step explanation:

3.50/7=0.50

Why did sally buy 7 apples
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