Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, write the liner equation that represents darnells constant speed

Answers

Answer 1

9514 1404 393

Answer:

  s = (8 mi)/(24 min/(60 min/h))

Step-by-step explanation:

Let s represent Darnell's constant speed. We know that speed, distance, and time have the relationship ...

  speed = distance/time

Darnell's speed in miles per hour is ...

  s = (8 mi)/(24 min/(60 min/h)) . . . . equation representing Darnell's speed

_____

This simplifies to ...

  s = 20 mi/h


Related Questions

.A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?

Answers

Answer: 15 / 56

Step-by-step explanation:

Number of red checkers = 3

Number of black checkers = 5

Total number of checkers = 8

P(black, then red) = 5/8 × 3/7 = 15/56

We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.

Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour. They drove a total of 60 miles in 5 hours. This situation can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter. Solve the system of equations by graphing. Graph both equations on the coordinate plane even if they represent the same line.

Answers

Answer:

Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Step-by-step explanation:

From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour.

This can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter.

From the graph shown, we can see that the intersection point is (2,3).

When using the graphing method to solve a system of equations, the intersection point is the answer.

In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

PLEASE - 10 points (5 thank you )

Answers

Answer:

hello, please listen to me. if u r giving 10 points then others are getting 5 points. so write accordingly

35% of the students on a field trip love the zoo. If there are students on the field trip, how many love the zoo?

Answers

Your question is missing an important value. That is the number of people on this trip. So we assume that 250 people are on this trip.

Answer:

88 persons

Step-by-step explanation:

Be cause your question does not have the total number of people on this trip, I assumed that the number of people should be 250.

Now we are to find 35% of 250.

This would give the total number of people they enjoyed the trip

0.35 x 250

= 87.5

approximately 88 persons

So we say that 88 persons loved the zoo.

To trick is to find 35% of whatever number of people are on this field trip.

Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?

Answers

Answer:

100 meters

Step-by-step explanation:

Given that:

Distance traveled N = 50 meters

Distance traveled W = 30 meters

Distance traveled straight back south = 20 m

The distance traveled :

Distance traveled N + Distance traveled W + Distance traveled S

(50 + 30 + 20) meters

= 100 meters

An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of angelfish to
seahorses?

Answers

Answer:

Ratio=  7:9

Step-by-step explanation:

What is the ratio of angelfish to  seahorses?

14 angel fish : 18 seahorses

14:18 = 7:9

Find the area of the shaded region

Answers

I do believe the area of the shaded region is 2.5 ft


A number x increased by 5 is greater than or equal to 25.

Answers

Answer:

equal tell me if i'm wrong

AAAAAAAA HELPPPPPPPPP! how many prime numbers
are there between 150 and 170? PLEASE EXPLAIN how you did it pleaseeeeee.

Answers

Answer:

There are 4 prime numbers.

Step-by-step explanation:

The prime numbers are: 151, 157, 163, 167

You just need to know what numbers are prime numbers.

Answer:

4 prime numbers

Step-by-step explanation

A prime numbers is a natural number greater than 1 that is not a product of two smaller natural numbers. For example, 5 is a prime number because it is multiplied by 1 and itself. On the contrary, 4 is not a prime number because it is multiplied by 2. Remeber 1 is not a prime number because it has only 1 factor and prime numbers have exactly 2 factors. Therfore the prime numbers in between 150 and 170 are.... 151, 157,163, and 167.

                               

             The 4 prime numbers between 150 and 170 are:

                                     151, 157, 163, 167

Can Mwamini drink 222 liters of water and 111 liter of juice within her time limit?

Answers

And what is her time limit?

which represents the solution to the inequality -3x +5 > 14?

Answers

Answer:

x < -3

Step-by-step explanation:

Suppose the average driving speed on family trip is 48 mi/h. Which function rule models the distance traveled d(t) as a function of time t spent traveling. A. d(t) = t + 48 B. d(t) = 48 - t C. d(t) = 48t D. d(t) = t/48

Answers

I’m pretty sure it’s b sorry if wrong n

5(6x - 2²) fully simplified

Answers

Multiplying a positive and a negative equals a negative: so it 5x(-6x4) Multiply the numbers 5x(-24) Multiply the numbers which it equals to -120

Today, everything in the store is on sale. The store offers a 20% discount.

A) The regular price of a t-shirt is $18. What is the discount price?

B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x

C) The discount price of a hat is $18. What is the regular price?

Answers

A) The regular price of a t-shirt is $18. What is the discount price?

$14.4

B) Which equation represents this problem?

a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x

The answer would be B.

C) The discount price of a hat is $18. What is the regular price?

22.5

Hope it helped!! ^^

Note: if you need me to explain i Would be happy to do so! :)

Pls I need help thank you

Answers

Answer:

angle FGJ and angle KJG

hope it helps

The correct answer is angles FGJ for number 1 and angle KJG for number two

The volume of a number cube is 27 cm2. What is the length of each side of the cube?

Answers

[tex]{ \sf{ \blue{volume \: of \: cube = 27 {cm}^{3}}} } \\ \\ { \underline{ \sf{ \green{volume = {(side)}^{3}}}}} \\ \\ { \sf{ \blue{ side = \sqrt[3]{27}}}} \: ={ \sf{ 3 \: cm}}[/tex]

Write ratios for sin C, cos C, and tan C

Answers

Answer:

sin c - 25/7

cos c - 7/24

tan c - 25/24

Step-by-step explanation:

sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10

Answers

Answer: B
I hope this helps you

A surveyor leaves her base camp and drives 43km on a bearing of 032°.She then drives 28km on a bearing of 154°.How far is she then from her base camp and what is her bearing from it

Answers

Answer:

36.84km ; 252.13°

Step-by-step explanation:

Using the cosine rule :

a² = b² + c² - 2bcCosA

a² = 28² + 43² - (2*28*43)*Cos58

a² = 2633 - 1276.0455

a² = 1356.9544

a = sqrt(1356.9544)

a = 36.8368

a = 36.84 km

For the bearing,

Obtain the angle at B using the Sine rule

a/SinA = b/SinB

36.84/sin58 = 28/sinB

36.84*SinB = 28 * Sin58

SinB = 23.745346 / 36.84

SinB = 0.6445533

B = sin^-1(0.6445533)

B = 40.13°

180 + (32 + 40.13)

180 - 72.13

= 252.13°

does anyone know the answer to this ?

Answers

Answer:answer b

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Triangle ABC has sides measuring 12 cm, 20 cm, and 28 cm. Which could be the side lengths of the dilated image A’B’C
O 30 cm, 50 cm, 70cm
O 20 cm, 30 cm, 42 cm
O 24 cm, 40 cm, 46 cm
O 6 cm, 12 cm, 14 cm

Answers

Answer:

Step-by-step explanation:

12:20:28 = 3:5:7

(30 cm):(50 cm):(70 cm) = 3:5:7

HELP ASAPP!!!! PLZZZ

Answers

Answer:

x = 4

Step-by-step explanation:

35/60 = (5x+1+35)/96

3,360 = 60(5x+36)

56 = 5x+36

20 = 5x

x = 4

7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?

Answers

Answer:

Tom weighs 5 times as much as Nicholas

Step-by-step explanation:

To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:

Tom's weight = 168.5 pounds

Nicholas' weight = 33.7 pounds

Dividing both weights = 168.5 ÷ 33.7 = 5

∴ Tom weighs 5 times as much as Nicholas

15 less than twice the sum of 61

Answers

Answer: 38

Explanation the answer is 38

I = prt solve for( r)​

Answers

Answer:

r = [tex]\frac{l}{pt}[/tex]

Step-by-step explanation:

Given

l = prt ( isolate r by dividing both sides by pt )

[tex]\frac{l}{pt}[/tex] = r

7(3+5) = 8 + ___

What number or expression could fill in the blank that would make this true

Answers

Answer:

_ = 48

Step-by-step explanation:

7 (3 + 5) = 8 + _

7 x 3 + 7 x 5 = 8 + _

21 + 35 = 8 + _

56 = 8 + _

_ = 56 - 8

_ = 48

Hope that helps!

Answer: x = 48

PEMDAS

7  (3 + 5) = 8 + x

7  (8) = 8 + x

56 = 8 + x

isolate x by subtracting 8

48 = x

Enter the number that makes the equation true?

Answers

Answer:

800

Step-by-step explanation:

happy to help

Step-by-step explanation:

You'll need to add up all the numerators and the answer you'll get is 7226. Then you'll subtract 7226 from 7826 and you'll get 600. The missing value is 600.

what is 600 divided 2

Answers

Answer: 600 divided by 2 is ...*gets calculator* oh its 300

Answer both parts please​

Answers

Answer:

1-21m hight and 23 lenght

2-45 hight and 11 length

Mr. Nakamura cuts 1 2 of a piece of construction paper. He uses 1 5 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?

Answers

Answer:

1/10th

Step-by-step explanation:

You multiply,

1/2 x 1/5 = 1/10

You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.

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