1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
2 years ago
15

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m

om discovered in the car 15 mins after he had left. She immediatey chased after Jorden, traveling at 52 km/h. At what time did she catch up with Jorden.
Mathematics
1 answer:
densk [106]2 years ago
4 0

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled \frac{15*32}{60} = \frac{32}{4} = 8\text{km}

So, his position after t minutes can be modeled by the following function:

J(t) = 8 + 32t

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

M(t) = 52t

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

M(t) = J(t)

So

8 + 32t = 52t

20t = 8

t = \frac{8}{20}

t = 0.4

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

You might be interested in
Can you help me with number 2,3,4,5,6. Don't worry they are only fractions they are not questions that need to be explained. Als
joja [24]
2. 1/3 + 1/3 = 2/3
     2/6 + 2/6 = 4/6 = 2/3
     1/3 + 2/6 = 2/3

3. 3/6 - 2/6 = 1/6             2/2 - 1/2 = 1/2
    2/3 - 1/6 = 1/2             5/6 - 1/2 = 1/3
    
     
8 0
3 years ago
Read 2 more answers
We have a jar of coins, all pennies and dimes. All together, we have 309 coins, and the total value of all coins in the jar is $
Vinvika [58]

There are 130 pennies in the jar

Step-by-step explanation:

We have a jar of coins

  • All coins are pennies and dimes
  • There are 309 coins in the jar
  • The total value of all coins in the jar is $ 19.2

We need to find the number of pennies in the jar

Assume that there are p pennies and d dimes in the jar

∵ There are p pennies and d dimes in the jar

∵ There are 309 coins in the jar

∵ All the coins in the jar are pennies and dimes

∴ p + d = 309 ⇒ (1)

∵ The total value of all coins in the jar is $ 19.2

∵ $1 = 100 cents

∴ $19.2 = 19.2 × 100 = 1920 cents

∵ 1 penny = 1 cent

∵ 1 dime = 10 cents

∴ p + 10 d = 1920 ⇒ (2)

Now we have system of equations, we can solve them to find p

∵ p + d = 309 ⇒ (1)

∵ p + 10 d = 1920 ⇒ (2)

- Multiply equation (1) by -10 to eliminate d

∵ (-10)(p) + (-10)(d) = (-10)(309)

∴ -10 p - 10 d = -3090 ⇒ (3)

Add equations (2) , (3)

∴ -9 p = -1170

- Divide both sides by -9

∴ p = 130

There are 130 pennies in the jar

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

8 0
3 years ago
Different ways to solve x+4=13
faltersainse [42]
One way is to move the 4 to other side so it would be x = 13 - 4 and that's x = 9
5 0
3 years ago
110 cm<br> 50 cm<br> 140cm<br> 90 cm<br> -110 cm -<br> 70 cm
mihalych1998 [28]

Answer:

probably is 140 or is it just the whole question?

3 0
3 years ago
The sign shows the prices of various school
mars1129 [50]

Answer: (D) 1.99x + 1.89y = 9.57

Step-by-step explanation: The reason is because equation option D states that for every notepad and pencil, x and y he bought, the total of his bill would equal $9.57.

6 0
3 years ago
Other questions:
  • Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x + 5 y = –2x
    7·2 answers
  • kelly is training for one marathon in week one she runs 7 miles in week two she runs 10 miles in week 3 she runs 13 miles given
    14·1 answer
  • A force of 8 N makes an angle of π/4 radian with the y-axis, pointing to the right. The force acts against the movement of an ob
    7·1 answer
  • Hot dogs come in packs of 10 while bonds: packs of eight what are the least number is a fax you should buy in order to have the
    7·1 answer
  • Ryan has a $500 bond with a 6.5% coupon. How much interest will Ryan
    11·2 answers
  • 1. Michael and 6 friends went to the movies. There, they each bought movie tickets and a bag of popcorn to share among them all.
    14·1 answer
  • Una pila de 5 libros pesa 9.5 libras. Si cada libro pesa lo mismo, ¿cuánto pesa cada libro
    8·1 answer
  • Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by​ grass?
    14·1 answer
  • Find the answer for - √24 + √38 =
    15·2 answers
  • One-quarter of the counters in a tub are red. The rest of the counters are green. If there are 48 green counters, how many red c
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!