Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP

Answers

Answer 1

Given:

Speed of Timmy = 5 miles per hour

Speed of sam = 4 miles per hour and head start of 2 miles

To find:

Where Timmy and Sam will  meet.

Solution:

Let x be the number hours they ran in marathon and y be the total distance covered.

Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is

[tex]y=5x[/tex]       ...(i)

Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is

[tex]y=4x+2[/tex]    ...(ii)

Now, equate (i) and (ii).

[tex]5x=4x+2[/tex]

[tex]5x-4x=2[/tex]

[tex]x=2[/tex]

The value of x is 2. It means they will meet after 2 hours.

Put x=2 in (i).

[tex]y=5(2)[/tex]

[tex]y=10[/tex]

It means, they will meet at 10 miles.


Related Questions

pls answer QUICK PLSSSS

Answers

Step-by-step explanation:

1) 13.57

+2.93

With this, we subtract from the back Meaning we add starting from back to forward;

13.57

+2.93

16.50

We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.

What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)

Answers

Answer:

=  

2/5x +2

Step-by-step explanation:

let me know if im wrong

hope it helps :)

Answer:

A. y=2/5x +2

step-by-step explanation:

hope this helped :-)

How do I get the answers down below? Could anyone help me? I will give brainliest and 25 points :)))
In the figure below, the horizontal lines are parallel. Find the measure of the labeled angles: 2y+2 and 4y-2

THE ANSWERS ARE:
(2y+2)=62degrees
(4y-2)=118degrees
y=30

Answers

Answer:

Step-by-step explanation:

The angles that you have shown are called same side exterior angles.

All same side exterior angles add to 180 degrees

Since we know this, we can make the following equation:

2y+2+4y-2=180

6y=180

y=30

To get each angle you can plug in y:

2*30+2=62

4*30-2=118

I hope this helps :)

Find the distance between the two points in simplest radical form.
(1,8)(6,-4)

Answers

Distance in simplest radical form is 13

Or root 169

Add. 2/3 + 1/4 ...............................

Answers

Answer:

11/12

Step-by-step explanation:

2/3+1/4

8/12+3/12= 11/12

HELPP
Lacey was looking at some data on World Cup soccer matches. She noticed a negative linear relationship
between the number of fans attending a match and the number of total goals scored in that match. Here is
computer output from a least-squares regression analysis for using attendance (in thousands of fans) to predict
the total number of goals scored:
Predictor
Coef
SE Coef
T
P
Constant
3.260
0.145
22.535
0.000
Attendance (thousands)
-0.009
0.003
-3.330
0.001
Use this model to predict the total number of goals scored in a match with 90 thousand fans in attendance.
You may round your answer to the nearest whole number of goals.
goals

Answers

Answer:

the answer is 2

Step-by-step explanation:

this was a question on my test on khan academy :D

HELP! Quickly! I need this ASAP

Answers

Answer:

y=10x+5

Step-by-step explanation:

y1-y2/x1-x2

5-15/0-1

-10/-1

10

The slope is 10

when the x is zero, y is 5 therefore 5 is the Y-intercept

y=10x+5

~PumpkinSpice1♥

The length of x 200 feet​

Answers

Answer:

If the length of x is less than 200, then add <.

If the length of x is more than 200, then add >.

If the length of x is 200, then add =.

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.

Answers

$4 a clip $1.00 for shipping for each order because 33.75x44.25=78
4x19(clips total)= 76
78-76=2
2/2=1
so $1 for shipping for each order and $4 a clip

Express this ratio in its simplest form.

240cm : 3.6m

Answers

240 cm : 3.6m
convert 3.6m into cm :
3.6 x 100 = 360cm

240cm : 360cm
2 : 3

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Answers

Answer:

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Step-by-step explanation:

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Let x be the number of liters of the 45% acid solution

The number of liters of the 70% acid solution is y

x + y = 50

x = 50 - y

Also

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?

We have:

45% × x + 70% × y = 65% × 50

0.45x + 0.70y = 0.65 × 50

0.45x + 0.70y = 32.5

We substitute x = 50 - y in the equation

0.45(50 - y) + 0.70y = 32.5

= 22.5 - 0.45y + 0.70y = 32.5

= - 0.45y + 0.70y = 32.5 - 22.5

= 0.25y = 10

Divide both sides by 0.25

= y = 10/0.25

y = 40 liters

x = 50 - y

x = 50 - 40

x = 10 liters

Hence,

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0


Answers

Answer:

The equation has no real solutions. It has 2 imaginary, or complex solutions.

Step-by-step explanation:

the pyramid shown has a rectangular base and faces that are isosceles triangles find the total surface area to the nearest tenth

Answers

I think d is the correct answer

Answer:

I think is C.

Step-by-step explanation:

I'm so sorry if wrong!

The difference 3 1/2 minus 1 1/2 must be
between and

Answers

Answer:

2

Step-by-step explanation:

3 1/2 - 1 1/2 = 2

PLS GIVE BRAINLIEST

La distancia que se recorre por carretera para llegar de Guadalajara a Puerto Vallarta, es de aproximadamente 306 km. Si se viaja a una velocidad promedio de 75km/h ¿cuánto tiempo se hará en ese trayecto?

Answers

Responder:

4.08 horas

Explicación paso a paso:

Velocidad = Distancia / Tiempo

Dado

Distancia = 306km

Velocidad = 75 km / h

Necesario

Hora

De la fórmula;

Tiempo = Distancia / velocidad

Sustituye el parámetro dado y obtén el tiempo;

Tiempo = 306 km / 75 km / h

Tiempo = 4.08 horas

Por lo tanto, utilizará 4.08 horas en ese viaje.

What is the probability of rolling at least one six on a pair of fair
dice?

Answers

It is a 67% percent chance.

What is the answer???????????????????????????????/

Answers

Answer:

Step-by-step explanation:

b

-11/2 divided by 12/5.

Answers

Answer:

Exact Form:

−55/24

Decimal Form:

−2.2916...

Mixed Number Form:

−2 7/24

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

WILL MARK BRAINLEST, PLEASE HELP !!!

Answers

Answer:

rate of change = first derivative= g'(x)=-2x+6

plug -3 to 5 into that g'(x) equation, it will be your answer

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

The average rate of change of f(x) on the interval [a, b] is computed from ...

  m = (f(b) -f(a))/(b -a)

On the interval [-3, 5] the average rate of change is ...

  m = (f(5) -f(3))/(5 -(-3)) = ((-5^2 +6·5 +12) -(-(-3)^2 +6(-3) +12))/8

     = (-25 +30 +12 +9 +18 -12)/8 = 32/8

  m = 4

The average rate of change on the interval is 4.

__

Alternate solution

The first derivative of the function is ...

  f'(x) = -2x +6

The average rate of change of a parabolic function on an interval is the rated of change at the midpoint of the interval. Here, the midpoint is x=(5+(-3))/2 = 1, so the average rate of change is ...

  f'(1) = -2(1) +6 = 4

The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the (instantaneous) rate of change of the volume with respect to when = 3 ℎ.

Answers

The correct structure of the question is as follows:

The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3

Then;

V = x^3

The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V

dV/dx = 3x^2

Now, at the moment when x = 3;

dV/dx = 3(3)^2

dV/dx = 3(9)

dV/dx = 27 cubic inch per inch

Suppose it is at the moment when x = 9

Then;

dV/dx = 3(9)^2

dV/dx = 3(81)

dV/dx = 243 cubic inch per inch

Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?

A. $190
B. $800
C. $950
D. $1,050
E. $1,200

Answers

Answer:

The answer is C.

Step-by-step explanation:

Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :

$100 × 1.5 = $150

Next, you have to find the total amount :

($100×5) + ($150×3)

= $500 + $450

= $950

Please answer them correctly i need these points please.

Answers

Answer:

The first one is B The second one is D and the last one is A

HELP
The length of a rectangle is
[tex]18x ^{2} + 6x - 4[/tex]
and the width of the rectangle is
[tex]3x {}^{2} - 9x + 10[/tex]
what expression would represent the perimeter of the rectangle?​

Answers

Answer:

21x^2+3x+12

Step-by-step explanation:

Tony bought 255 1-inch nails and 5 boxes of 2-inch nails. Each box of 2-inch nails had equal amounts of nails in them. He bought a total of 620 nails. Find the number of nails in each box of 2-inch nails.

Answers

Answer:

73 nails

Step-by-step explanation:

Number of 1 inch = 255

Boxes of 2 - inch = 5

Each box of 2 _inch has equal amount of nails

Total number of nails = 620

Number of nails in each box of 2_inch nails:

Let Number of nails in each box = b

Number of 1_inch + 5 * number of 2_inch = 620

255 + 5b = 620

5b = 620 - 255

5b = 365

5b / 5 = 365 / 5

b = 73

Hence, there are 73 nails in each box of 2_inch nails

ABCD is a rhombus. Solve for x, if m AFB
(16x + 6)
B
F
D
C

Answers

2(8x+3) all you need to do is apply

I need help quick please ​

Answers

i think the answer is none

Mrs. Bell can grade 12 papers in 20 minutes. At this
rate, how many papers can she grade in one hour?

Answers

Answer:

36

Step-by-step explanation:

The pencils , p, we're divided into 6 groups of 2

⚠️⚠️Write an equation PLEASEE I’m almost done ⚠️⚠️

Answers

Answer:

6 divided by 2 =p (a made a little graph at the bottom to demonstrate)

Step-by-step explanation:

.  .  .  .  .  .          Graph←

.  .  .  .  .  .

Estimate by rounding both numbers to tens and then divide.
61 ÷ 29 is approximately

Answers

Answer:

2

Step-by-step explanation:

Round: 61 → 60Round: 29 → 30Divide: 60 ÷ 30 = 2

I hope this helps!

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