Josh and Greg leave from the same place
and travel the same route. Josh travels 2
hours and stops. Greg travels 5 hours at
double Josh's rate. After five hours, they
are 256 miles apart. Find the rate and
distance of each.

Answers

Answer 1

9514 1404 393

Answer:

Josh: 32 mph, 64 miGreg: 64 mph, 320 mi

Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

  distance = speed · time

  distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

  distance = speed · time

  distance = (2x) · 5 = 10x

The distance they are apart is ...

  10x -2x = 256

  8x = 256

  x = 32

__

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

__

Check: 320 miles - 64 miles = 256 miles . . . . correct separation


Related Questions

what has to be the same in order to add fractions?

Answers

Answer: The denominator

Explanation: you can’t add 3/12 and 2/6. You would have to change it to 3/12 + 4/12.

A store owner has 42.4 pounds of candy. If he splits the candy equally into 4 boxes, how many pounds of candy will each box contain?

Answers

Answer:

10.6

Step-by-step explanation:

just divide 42.2 and 4 and you get 10.6

Answer:

10.6 lb/box

Step-by-step explanation:

42.4/4 = 40/4 + 2.4/4

10 + 0.6 = 10.6

Unknown angle problems ( with algebra ) solve for x in the diagram below

Answers

Answer:

5x+35=90

5x. =90-35

5x =55

X=11

The value of x from the given figure is 11°.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

In the figure, the whole angle is 90°, the ray divide the angle into two angles such as 35° and 5x°.

From the given figure, we have

35°+5x°=90°

5x°=90°-35°

5x°=55°

x°=11°

Therefore, the value of x is 11°.

To learn more about an angle visit:

https://brainly.com/question/9811089.

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as a mixed number
13
Write
as a mixed number.
6

Answers

Answer:

2 (1/6)

Step-by-step explanation:

when 13 is divided by 6, the remainder is 1 with the result of 2. In the format of a(b/c), the result is a, the remainder is b, and the divisor is c.

Answer:[tex]2\frac{1}{6}[/tex]

Step-by-step explanation:

Converting to a mixed number using long division with remainders for 13 ÷ 6.

       13÷6=2R1

Therefore:

        [tex]\frac{13}{6}=2\frac{1}{6}[/tex]

y+2=−3(x−4)
Complete the missing value in the solution to the equation.

Answers

y+2=-3x+12

 -2        -2

y=-3x+10

This is as far as it can be simplified.

---

hope it helps

Answer: y = - 3x + 10

Step-by-step explanation:  

Step 1: Flip the equation : −3x+12=y+2

Step 2: Add -12 to both sides : − 3 x + 12 + − 12 = y + 2 + -12

The population of Nashville, TN is 691,243. The population of Spring Hill, TN is 39,602. How many more people live in Nashville?

Answers

Answer:

651,641 more people live in Nashville.

Step-by-step explanation:

Since more people live in Nashville, we subtract the population of Nashville by the population of Spring Hill to get:

691,243 - 39,602

= 651,641

Which is the BEST system to measure the likelihood of an event occurring? A between 0 and 12 B between 0 and 1 C between 0 and 10
D between 0 and 100

HURRRRYYYYYY 50 POINTS

Answers

Answer:

A BETWEEN 0 AND 12 B BETWEEN 0 AND 1 C BETWEEN 0 AND 10 C BETWEEN 0 AND 100

Step-by-step explanation:

A diagram from a proof of the
Pythagorean Theorem is shown. Which
statement would NOT be used in the
proof?

Answers

Answer:

The answer is the forth one, you suppose Sabi am

resolver las siguientes ecuaciones de primer grado -8×+9= - 36​

Answers

Answer:

-8x= -36-9

-8x= -45

x= -45 sobre -8

resultado: x=45positivo sobre 8 positivo

I need help please!!!

Answers

Answer:

Image is all black, cant help ya!

Step-by-step explanation:

I believe it is 5x-7+ jkjksorry

What is the size of angle s !!

Answers

The sum of the angles of a quadrilaterals is 360 so 8s=360 s=45

For every 2 cups of sugar in the cookie recipe, there are 5 cups of flour.
What is the ratio of cups of flour to cups of sugar?​

Answers

Answer:

2:5

Step-by-step explanation:

the y-intercept is the y -value of the point at which the graph of a function crosses the y-axis True or False​

Answers

Answer:

True

Step-by-step explanation:

The y intercept is where the line "crosses through" or "goes through" the y axis.

Which of the following expresses 12 + 42 by using the GCF of the two numbers?

3(9 + 14)
3(4 + 38)
6(2 + 7)
6(6 + 36)

Answers

the correct answer is 6(2+7)

will mark brainliest please help

Answers

Answer:

445

Step-by-step explanation:

Find the slope of the line through the points (-3,1) and (-1,5).

Answers

Answer:

The slope is 2

Step-by-step explanation:

(-3,1)

+2 ——> (-1,5) <—— +4

m = y/x —> 4/2 —> 2

m = 2

Answer:

[tex]\boxed {\boxed {\sf m=2}}[/tex]

Step-by-step explanation:

The formula for slope is:

[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points on the line.

We are given the points (-3,1) and (-1,5). Therefore,

[tex]x_1= -3 \\y_1= 1 \\x_2= -1 \\y_2=5[/tex]

Substitute the values into the formula.

[tex]m= \frac {5-1}{-1--3}[/tex]

Solve the numerator.

[tex]m= \frac{4}{-1--3}[/tex]

Solve the denominator.

-1 --3= -1+3 =2

[tex]m=\frac{4}{2} \\[/tex]

Divide.

[tex]m=2[/tex]

The slope of the line is 2.

Which is the better value? Circle it. 3 sandwiches for 15.00 or 4 sandwiches for 21.00?

Answers

Answer:

I say 3 sandwiches for 15.

Step-by-step explanation:

to find the best price divided the numbers

15 divided by 3= 5

5 is the price per sandwich for this

21 divided by 4= 5.25

5.25 per sandwich

the 3 for 15 is a better deal. You save money.

the number of squirrels in a park at the end of the month

Answers

Using the given recursive function, we have that:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

What is the recursive function for this problem?


The recursive function for this problem models the number of squirrels in the park at the end of month n+1, considering the amount present at the end of month n, as follows:

[tex]S_{n+1} = 1.6S_n - 30[/tex]

For this problem, we have that at the amount at the end of May is of 70, hence:

[tex]S_{5} = 70[/tex]

Hence, we find the amounts at the end of June, July and August, as follows:

[tex]S_6 = 1.6(70) - 30 = 82[/tex].[tex]S_7 = 1.6(82) - 30 = 101[/tex].[tex]S_8 = 1.6(101) - 30 = 132[/tex].

Hence:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

More can be learned about recursive functions at https://brainly.com/question/489759

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A rectangular price tag has a perimeter of 24 centimeters. Its area is 27 square centimeters. What are the dimensions of the price tag?

Answers

The answer is 3x9

Perimeter is the sides added up

3*2+9*2=24


And area is b*h

9*3=27

Can Someone help me with this work

Answers

Answer:

Oar City is cheaper

Step-by-step explanation:

27/3=9 (Boat Bunker)

45/9=5 (Oar City)

$4 Cheaper than Boat Bunker

Brainlist?

Answer: Oar City is the answer.

Step-by-step explanation:

Can someone please help me with this

Answers

Answer: 15 and 1/4

Step-by-step explanation:

3 + 4 + 3 + 4 + 3/16+3/16+7/16 + 7/16

14 + 20/16

14+ 1 4/16

15 and 1/4

Help plz it would mean a lot thanks

Answers

Answer:

1. 128 cm^3

2. 28 ft^3

3.  45 yd^3

4. 675 in^3

5. 83.7 mm^3

6. 144 cm^3

Step-by-step explanation:

just multiply

A teacher is ordering scissors for her classroom.
*The teacher pays a one-time fee of $8.
*The teacher also pays $2 for each pair of
scissors ordered

Answers

16 ..............::......

HELP.... ME PLEASEE ASAP!!!! PLEASEE.....

Answers

32+(2x-12)=90

32+2x-12=90

2x+20=90

2x=70

x=35

Answer:

A x=35

Step-by-step explanation:

(2x-12)+32=90

2x-12=90-32

2x-12=58

2x=12+58

2x=70

x=70/2=35

table represents a quadratic function?
Which

Answers

Answer: third graph -4,2 -2,-7

Step-by-step explanation:

Connor has five nickels in one hand and some dimes in his other hand. He has more than two times as many dimes as nickels. He has fewer than three times as many dimes as nickels.

Answers

Complete question :

How many dimes might he have?

How many coins would he have altogether?

Answer:

11, 12, 13, 14 ;

16, 17, 18, 19

Step-by-step explanation:

Let :

Nickel = n

Dimes = d

Total number of nickels = 5

He has more than 2 times as many dimes as nickels ;

d > 2n

d > 2*5 ; d > 10

He has fewer than 3 times as many dimes as nickels;

d < 3n

d < 3*5 ; d < 15

Meaning he has more than 10 dimes but less than 15.

10 < d < 15

So, d could be ;

11, 12, 13, 14

Number of coins altogether :

11 + 5 = 16

12 + 5 = 17

13 + 5 = 18

14 + 5 = 19

Solve the system of equations. y=-3/2+9
2x+2y=16

Answers

y=-1.5+9=7.5
2x+2x7.5=16
2x+15=16
2x=16-15
2x=1
x=1/2

5. A line passes through the point (-2,6) and has a slope of 3/4. Which of the following points
would also be on this line?
a) (1, 10)
b) (-10,0)
c) (-5,2)
d) (2,3)

Answers

Answer:

A

Step-by-step

Use the distributive property of multiplication to evaluate 2(3 – 1). Show your work in your answer.

Answers

Answer:

12

Step-by-step explanation:

2(3 - 1)

multiply each number inside the brackets by 2:

2(3 -1)

18 - 6

solve:

18 - 6

= 12

The local high school’s cheerleading squad is selling snow cones during lunch to raise money for a national cheerleading competition. Paper cones are pre-filled with shaved ice and then filled with flavored syrup as customer orders are placed. The paper cones can contain no more than 535 cubic centimeters of shaved ice and syrup. If the paper cone is 8 centimeters deep, what is the largest width of the containers opening? Use 3.14 to approximate . Round your answer to the nearest whole unit. Include all of your calculations in your final answer.

25 point giveaway and brainliest to whoever answers the best :)

Answers

Answer:

I can just imagine some lady with big jugs leaning over the snow cones and saying in a extremely smexual voice "would you like these huge snow cones baby?", also its roughly 4 cm wide

Step-by-step explanation:

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