Two runners start the race at the same time. the first runner's speed is 4/5 of the speed of the second runner. after 30 minutes the runners are 2 miles apart whats the speed of each runner

Answers

Answer 1

Answer: 3.33 miles per hour.

Step-by-step explanation: To find the speed of the second runner, we can assume their speed is x miles per hour. Using the fact that the first runner's speed is 4/5 of the second runner's speed, we can set up the equation x - 0.4x = 2 to solve for x.

Solving for x, we get x = 3.33 miles per hour.


Related Questions

Sophia's mom spent on party bags and ice cream for her birthday party.

​Each ice cream costs 2 cents, and each party bag cost $1.50.

Write an equation that represents the relationship between ​the number of ice creams she bought, i, and the number of ​party bags she bought, b

Answers

Answer & Step-by-step explanation:

i = 2

b = 150

---------------------------------------------------------------------------------------------------------------

The equations:

i= b-148

or

b= i+148

or

b-i = 148

I am not really sure which equation you want, but I hope this helps!!!

The screen on your old
television is 20 inches wide
and 15 inches high. The screen
on your new widescreen
television is 16 inches wide
and 9 inches high. Is the
screen on your new TV a
dilation of the screen on your
old TV?

Answers

No it isn’t a dilation

Someone please help

Answers

Answer:

The answer is B

Is 4.78778777 a rational or irrational number?

Answers

It is an irrational number

Answer:

Rational number

Step-by-step explanation:

It is a rational number as it ends

If there were dash dash after number then it will be irrational...

Hope it helps

Please mark as brainliest

Explain the law of Syllogism.​

Answers

The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c. ... If they are true, then statement 3 must be the valid conclusion.Answer:

Step-by-step explanation:

x
10
Z
20
find x y and z

Answers

Answer:

y is 30

Step-by-step explanation:

the graphs of f(x) and g(x)= f(x)+k are shown below. the value of k is ____​

Answers

Answer:

The value of k is 2

Step-by-step explanation:

The rule of vertical translation

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  ⇒ subtract y-coordinate of every point by k

From the graph

∵ Point (0, 0) ∈ f(x)

∵ Point (0, 2) ∈ g(x)

∵ Point (2, 4) ∈ f(x)

∵ Point (2, 6) ∈ g(x)

Each y-coordinates of the points on f(x) added by 2 on g(x)

→ That means f(x) is translated up 2 units

∴ f(x) is translated up by 2 units

By using the first rule above

∴ g(x) = f(x) + 2

∵ g(x) = f(x) + k

∴ k = 2

The value of k is 2

If you bought a stock last year for a price of $90, and it has gone down 13% since then, how much is the stock worth now, to the nearest cent?

Answers

Answer:

It is now $109.62. You would multiply .13 (13%) by 126 which would give you 16.38. You would then subtract 126-16.38 to get 109.62.

Hope this helps, have a great day, have a wonderful weekend and stay safe!

Also Happy Halloween! :) :D :3

Answer:

$78.30

Step-by-step explanation:

13% of 90 is 11.7, 90 - 11.7 = 78.3, therefore our answer is $78.30

I hope this helped, please mark Brainliest, thank you!

What are the slope and the y-intercept of the linear function that is represented by the equation Y = 9x-27
The slope is -2, and the y-intercept is 9.
The slope is 2, and the y-intercept is 9.
The slope is 9, and the y-intercept is -2
The slope is 9, and the y-intercept is 2.

Answers

Answer:

none of these are correct. The slope would be 9 and y-intercept would be -27

Answer: it's c

Step-by-step explanation: I got it right on edge 2022!



Tammy already has 9 stickers, and she will get 29 additional stickers from each sticker pack
she buys. How many sticker packs does Tammy have to buy to have a total of 96 stickers?

Answers

Answer:

3 packs would be needed

We will add 29 3 times to get the and also nine

Answer:

the answer is 3

Step-by-step explanation:

subtract 96 minus 9 witch is 87 then divide that by 29 and that gives you 3

Which is the most reasonable way to estimate 26% of 88?

Answers

Answer:

88 x 0.26 = 22.88% or 23%

do 25% and then divide 88 by 100 to find 1% then add them

What’s the definition of percent equation

Answers

I think the asnwet is 2 also

Find the quotient. The answer must be a proper fraction simplest form.
4 13 ÷ −3 16

Answers

Answer:

5 or 5/1

Step-by-step explanation:

did the math, this is the result. Not sure if it's right, correct me if I'm wrong


Dolly borrows $80,000 to purchase a car. The
interest rate is at 9%. She plans to pay this
money back after 2 years. Calculate the simple
interest?

Answers

Answer:

Interest is $14,400

Step-by-step explanation:

I = Prt

I = (80,000)(0.09)(2)

I = 14,400

-2/6 ÷ 5/8 answer should be in fraction form​

Answers

Answer:

The answer is -8/15

Step-by-step explanation:

Answer:

-5/24  

Step-by-step explanation:

-5/24 = -0.20833  Both are the answer but, you asked for it in fraction form so,

the one you need is -5/25.

Hope I helped.

         

Suppose we need at least 6 apples to make a plate of apple pie. If we have 36 apples, how many plates of apple pie can we make?

Answers

Answer:

6 pies

36/6=6

Hope this helps

Help ASAP!! Find The Measure Of The indicated Angle In The Diagram.

Answers

Answer:

136 :)

Step-by-step explanation:

112 + 24 = 135

180 - 136 = 44

180 - 44 = 136

Answer:

Step-by-step explanation:You know that all angles in a triangle add to 180 degrees. So you do:

112+24= 136

Then,

180-136= 44

44 is the angle ont the other side of the question mark. So we know that 44 and the unkown angle add to 180, So,

180-44= 136

So the unknown angle is 36.

b) Solve the equation 2x² + 7x-8 = 0
Give each value correct to 2 decimal places.​

Answers

Answer:

x = 0.907, -4.41

Step-by-step explanation:

* i rounded up on the second value btw*

I just need help with this for my homework. Thank you :)


What is the image point of (-6,9)(−6,9) after a translation left 4 units and down 1 unit?

Answers

Answer:

( -10,8)

Step-by-step explanation:

(-6,9)

Shifting 4 units left means subtract 4 from the x coordinate

(-6-4,9)

Shifting 1 unit down means subtract 1 from the y coordiant

(-6-4,9-1)

( -10,8)

Answer:

(-10, 8)

Step-by-step explanation:

A translation left 4 units and down 1 unit would be described algebraically as:

[tex](x,y)\rightarrow(x-4,y-1)[/tex]

Apply rule to (-6,9):

[tex](-6,9)\rightarrow(-6-4,9-1)\rightarrow(-10,8)[/tex]

The image after the translation should be (-10, 8).

Hope this helps.

The height h in feet of an object t seconds after it is dropped can be modeled by the quadratic equation h=-16t^2+h0, where h0 is the initial height of the object. Solve the equation h=-16t^2+255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

Answers

Answer:

The rock will take approximately 3.992 seconds to reach the canyon floor.

Step-by-step explanation:

For all [tex]a\cdot t^{2}+b\cdot t + c = 0[/tex], its roots are determined by the Quadratic Formula:

[tex]t = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

In this case, it corresponds to instants when rock is either launched or hits the floor. If we know that [tex]a = -16[/tex], [tex]b = 0[/tex] and [tex]c = 255[/tex], the time it takes the rock to reach the canyon floor is:

[tex]t = \frac{-0\pm\sqrt{(0)^{2}-4\cdot (-16)\cdot (255)}}{2\cdot (-16)}[/tex]

[tex]t \approx 3.992\,s[/tex]

The rock will take approximately 3.992 seconds to reach the canyon floor.

Find the LCM of 200 and 240.

Answers

Answer:1,200

Step-by-step explanation:


PLEASE HELP ME ASAP!!!!!

Answers

Answer:

it is used to subtract 10 from both sides

Answer:

Definitely D

As seen in the equation both sides is being subtracted by 10

What type of slope does the line have?
ТУ
2
2
(3, 2)
2
0
$
-2
10-4)
unidentified
O negative
O zero
positive

Answers

Answer:

Positive

Step-by-step explanation:

We see from left to right that the slope is going up. That means our slope will be positive.

Answer:

position Option is correct answer.

Given f(x) = -3x – 1, solve for x when f(x) = -10
(Will mark brainliest)

Answers

Answer:

x=3

Step-by-step explanation:

f(x) = -3x – 1

Let f(x) = -10

-10 = -3x-1

Add 1 to each side

-10+1= -3x-1+1

-9 = -3x

Divide each side by -3

-9/-3 = -3x/-3

3 = x

The answer would be...

x = 3

645.059 rounded to the nearest tenth

Answers

Answer:

645.1

Step-by-step explanation:

5 hundreths round up to 1 tenth

Find the missing length?

Answers

you have to prove that they are similar triangles .

then you will find that x=7*3=21 because

AB/DE=1/3

im sorry i cant explain and and answering late

A roller skating offers a special rate for birthday parties. On the same day, a party for 10 skates cost $107 and a party for 15 skaters cost $137.
A) write a linear equation in point-slope form.
B) Find the cost of 12 skaters.

Answers

Answer:

128

Step-by-step explanation:

137-107/15-10

M=7.4 or 7

Equation using (10,107)

Y-107=7(x-10)

Substitute 12 for x

Y-107=7(12-9)

Simplify the right side

Y-107 = 21

Solve for y

Y-107+107= 21+107

Y=128

A party For 12 skaters would cost $128

Hope this helps

Simplify the expression, 728x6−−−−√−563x6−−−−√ . Assume all variables are positive.

Answers

Answer:[tex]-3x\sqrt{7}[/tex]

Step-by-step explanation:

Don't have much of one, but just took test

Identify the slope.
y = 23/25X + 11

Answers

Answer:

y=23X/25+11

Step-by-step explanation:

If this helps may I plz have brainliest :)

23/25

Why:
M=slope
The equation is in the form y=mx+b
So...
M=23/25
B=11

Therefore 23/25 is the slope.

1. Use both methods to find the distance between the points on the number line.
Method A: Count the number of units between the points.
Method B: Take the absolute value of the difference of the two numbers.

Answer:
Method B- Show your work for each step
Step 1 (Write it as a subtraction problem using distance formula)=

Step 2 (Rewrite it is as an addition problem)=


Step 3 Solve (distance between the 2 points) =

(PLEASE HELP 40 PTS AND BRAINLIEST)

Answers

Answer:

Step-by-step explanation:

Okay Im going off of my work because we did some in class and then the rest by ourselves but i turned mine in yesterday but didnt recieve a grade yet but i hope these help you...

The number number line it is seven units apart.

The absolute value larger number smaller number would be 2 - (-5). So what you do with that is keep the 2 change the subtraction sign to plus sign and change the negative 5 to positive 5. So your answer would be 7.

And smaller number to larger number would be -5 - 2. And then you do the same steps as the last one. Keep the negative five, change the subtraction sign to addition sign and make the two  negative. And that answer would be -7

2. For the number two problem you would plot the robins nest just below the top of the verticle line. the red squirrel den would be right next to the zero but a tad up. And the groundhog burrow would be below the zero mark and a little before the end of the verticle line.

Next, for groundhog burrow to red squirrel den you put the number 0.3-(-1.2)=1.5    Red squirrel den to Robin’s nest 3.6 – 0.3 = 3.3. And for the last one Groundhog burrow to Robin’s nest 3.6 – (-1.2) = 4.8.

3. you have to turn the 1 1/2 and 3/4 into 8ths. 1/2= 3*4 = 12 and for the denominator 2*4 = 8. So 12/8.

The next one is 3*2 which is 6 and 4*2=8

so now you have 12/8, 6/8, and 1/8

you have to add the points on the chart (i cant really help you on this part because i do not know how to upload picture) but you would make 24 and then you find where 12/8 would go and draw the hops but on mine the hop looks like how you would draw a rainbow but just one for the 12. Then do the same for the 6 and add 1 for the last one to make 19.

On mine I add the 12 + 6 + 1 = 19 so that is how i got mine. (sry if this a bad explination)

it should kinda look like this on the chart.

| | | | | | | | | | | | | | | | | | | | | | | | they should be spaced apart like this.

and for the last one i put cup 3 because it bigger than the amount of ingrident in the recipe. (im not sure if that one was the answer this is the only part we didnt get help on in class)

Step-by-step explanation:

Method B

(Step 1) | 19 - (-12) |

(Step 2) | 19 + 12|

(Step 3) | 31 | = 31

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