The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs at an average of 6 miles per hour, she
will finish a race in 2. 1 hours. How long will it take Jackie Donofrio, who runs at 4 miles per hour to finish the same race?

Answers

Answer 1

To solve this problem you will need this tool, it is the formula of speed :

speed = distance/time

(I suggest you to remember this one for life, it is a really useful one)

Let's check how long that Jackie nice dude will take to finish the race...

Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.

Let's write what we already know to solve this puzzle :

6 = d / 2.1

Where d is that unknown distance..  So we are in front of an equation here let's solve it :

d / 2.1 = 6

d = 6 * 2.1

d = 12.6 miles

Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...

We already know his speed... and since we have the distance, we write :

4 = 12.6 / t

Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :

4t = 12.6 (we multiplied t on each side of the equation)

t = 12.6 / 4

t = 3.15

Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours

Good Luck


Related Questions

Please help i attached a link below to the graph

Write the linear inequality shown in the graph. The gray area represents the shaded region.

y ≥ –x – 4
y ≥ –x + 4
y ≤ –x – 4
y ≤ –x + 4

Answers

Answer: y ≤ -y+4

Step-by-step explanation:

The line in the graph:

Taking two points, we can calculate the slope of the line.  I'll pick (0,4) and (4,0)

Rise/Run (slope):  Rise (0-4) = -4, Run = (4-0) = 4.  Slope is -4/4 or -1.

The y-intercept is 4 (the value of y when x is zero).

The equation for the line is y = -x + 4.  The shades area includes all points on and under this line, so y ≤ -y+4.

hi,please explain your answer
have a nice day​

Answers

Answer:

What grade are you my brother is good at this stuff

Solve 22 x 104 = ________. (1 point) A. 2,200,000 B. 220,000 C. 22,000 D. 2,200

Answers

Solution:

[tex]22 \times {10}^{4} \\ = 22 \times 10 \times 10 \times 10 \times 10 \\ = 22 \times 10000 \\ = 220000[/tex]

Answer:

B. 220,000

Hope it helps.

Do comment if you have any query.

22*10^4
22*10000
220,000

The answer is B

PLEASE HELP!!
100 POINTS
5^a = 2^b = 10, what is a^-1 +b^-1

Answers

Answer:

1.

Step-by-step explanation:

5^a = 10

a log 5 = log 10

a log 5 = 1

a = 1 /log 5

a^-1 = log 5

In the same way:

b = 1 / log 2

b^-1 = log 2,

So a^1 + b^-1 = log5 + log 2 = log (2*5)  

= log 10

= 1.

Which of the following is(are) the solution(s) to |11x +3 = 6 ?

Answers

exact form: x = 3/11

decimal form: x = 0.27

Which statement about perfect cubes is true?

a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3

Answers

☆Answer : a.) false B.) false c.) True d.) false

V = s^3 = 8^3 = 512cm^3 True.

Answer:

every answer:

A

B

B

B

B D E

A

C

C

C

D

Step-by-step explanation:

i got 100% on Edg

Fraction of alphabets in word PRAKASH made of 3 straight line is

please right answer due is tomorrow

Answers

Answer:

The answer 4/7

Step-by-step explanation:

A K A H

4 letters in the word PRAKASH are made of 3 straight lines. That's why the fraction is 4/7.

In the word, 4/7 fraction of the letters is made up of 3 straight lines.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

In the word PRAKASH, there are 7 letters, In which 2 A's, 1 K, and 1 H is made up of 3 straight lines so (2 + 1 + 1) = 4.

∴ The fraction of the alphabet made up of three straight lines is,

= 4/7

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Janie has "buy one get one free" tickets to the comedy club. She is bringing 7 people, including herself.

If the regular price is $12.25 per person, how much change will she have left from a $100 bill?


$63.25

$57.00

$51.00

$14.25

Answers

Answer:

$51.00

Step-by-step explanation:

Answer is $51
12.25x 4 people is $49
$100-$41=$51

A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?

Answers

Answer:

y = 1/6x - 9

Step-by-step explanation:

The slope-form intercept formula is y = mx + b

I will give brainliest

Answers

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83

What's the Answer of 5+5=09

Answers

Answer:

5+5=10

Step-by-step explanation:

i dont understand

Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)

Answers

Answer:

Step-by-step explanation:

We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.

AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)

AB = 3 then  XY = 2* 3 = 6

AB = 2.5 then XY = 2*2.4 = 5

XY = 18 ( the big one)  then AB = 18/2 = 9 ( the small one)

XY = 4 then AB = 2/2 = 2

XY = 9 then AB = 9/2 = 4.5

find the gcf and the distributive property to each sum.19,22

Answers

Answer:

50 is sum of gcf its couldn't of 19 is 20

pls help will mark as brainlist ​

Answers

Step-by-step explanation:

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 6 side

n=6

sum of interior angles of a hexagon =(6−2)×180°

=720°.

______________________________________

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 10 side

n=10

sum of interior angles of a hexagon =(10−2)×180°

=1440°.

hope this helps you.

Consider the line y=6/7 x -7. Find the equation of the line that is perpendicular to this line and passes through the point (6,-6). Find the equation of the line that is parallel to this line and passes through the point (6,-6) .

Answers

Answer:

[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]

Step-by-step explanation:

We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:

[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]

At this point we can just use the slope-point equation to get our first line:

[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]

Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.

[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]

[tex]y= \frac67x -\frac{78}7[/tex]

In ⊙V, QT ≅ RS. If UV = 4 cm, then VW = _______ cm.

Answers

Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

can someone help please :)

Answers

The inequality is less than or equal to

Time(h)
Distance (mi)
12 3 4 5
14 26 38 50 62
The table shows Eli's distance from home as he
rides his bike at a steady rate after meeting a
friend. Write an equation in slope-intercept form
that represents the miles, y, that Eli goes in x hours.
y = 12x + 2
y = 2x + 2
y = 12x + 12
y = 2x + 12

Answers

Answer:

y = 12x + 2

Step-by-step explanation:

To know:

     [] These equations are in y = mx + b form

           () Also known as slope-intercept form

           () m is the slope

           () b is the y-intercept

Now, let's solve

     [] Slope / m

           () Slope is "change in y over change in x," let hours be our x and distance by our y

           () [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]

     [] Y-intercept / b

           () We will plug in a set of points into our current equation, then solve for b

           () y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b

Last, we will find our answer

Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2

Have a nice day! - table I made is attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds

Answers

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

Read more about velocity and time at:

https://brainly.com/question/19979064

help me with this pls asap

Answers

Answer: 0.29

Step-by-step explanation:

Divide x by y.  See attachment.

5.6 reccuring
as a fraction

Answers

Answer:17/3 or 5 and 2/3

Sorry for the spam, I really need help.

Answers

Answer:

x=8

y=18

Step-by-step explanation:

[tex](3x+13)+(7x-3)=90[/tex]

[tex]10x+10=90[/tex]

[tex]10x=90-10[/tex]

[tex]x=\frac{80}{10} =8[/tex]

[tex]3x+13=3(8)+13=24+13=37[/tex]

[tex]5y=180-37-53=90[/tex]

[tex]y=\frac{90}{5} =18[/tex]

I hope this help you

14 +6p = 5+3 p
what's the answer to this equation

Answers

Answer:

19 = -3p

Step-by-step explanation:

14 +6p =5 +3p

c.l.t

14 +5 = -6p + 3p

19 = -3p

Please Help Im Doing A Test And Really Need The Answer!

Please no fake answer for points

Answers

Answer:

The last one (16+20+3+8)

Step-by-step explanation:

add up all the sides not including the 3 inside

Answer:

(16+20+3+8)

Step-by-step explanation:

The perimeter is the measurement on the outside of the shape.

so (3+16+20+8) = 47

Pls answer this and explain!

Answers

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

On the grid below, which point is located in the quadrant where the x-coordinate is a positive number and the y-coordinate is a negative number?
A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.
A
B
C
D

hurry!!

Answers

Answer:

The answer is A.......

Step-by-step explanation:

A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it

Answers

8. 4m x 8m x 1.5m (150cm is equal to 1.5m) and minus by 40

(0, 6) and (2, 96) in exponential function

Answers

Answer:

If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ , and solve for b.

If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ . Solve the resulting system of two equations in two unknowns to find a and b.

Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ .

Step-by-step explanation:

how does the graph of y=Vx+2 compare to the graph of the parent square root function

Answers

Option c since the equation shifts 2 units vertically up compared to parent square root function



ASP please


What is the slope of the line on the graph

Answers

Answer: 6

Step-by-step explanation:

Let's look at two points on this line (1, 5), and (0, -1)

Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])

[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]

[tex]\frac{6}{1}[/tex]

Hope it helps :)

Answer:

Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)

From point (0, -1) to point (1, 6) would look like this

(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7

Since you already have you y-intercept (where x is 0), your whole equation would be this:

y = 1/7x - 1

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