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
Delvig [45]
3 years ago
14

Jason and Jeremy work together at a juggling-ball factory. Jason lives 25 miles away from the factory and drives at 60 miles per

hour. Jeremy lives 35 miles away from the factory and drives at 70 miles per hour.
If they leave their houses at the same time, then

(a) who arrives at the factory first ?, and

(b) how long is it until the other person arrives?
Mathematics
1 answer:
saul85 [17]3 years ago
8 0

(a) Jason arrives at the factory first

(b) It takes 5 minutes until the other person arrives

Step-by-step explanation:

Jason and Jeremy work together at a juggling-ball factory

  • Jason lives 25 miles away from the factory and drives at 60 miles per hour
  • Jeremy lives 35 miles away from the factory and drives at 70 miles per hour
  • They leave their houses at the same time

We need to know who arrives at the factory first and how long it is until the other person arrives

Time = Distance ÷ speed

∵ Jason lives 25 miles away from the factory

∴ The distance = 25 miles

∵ He drives at 60 miles per hour

∴ The speed = 60 miles per hour

- Use the rule above to find the time

∵ Time = 25 ÷ 60 = \frac{5}{12} hour

∵ 1 hour = 60 minutes

∴  \frac{5}{12} hour =  

∴ Jason arrives to the factory in 25 minutes

∵ Jeremy lives 35 miles away from the factory

∴ The distance = 35 miles

∵ He drives at 70 miles per hour

∴ The speed = 60 miles per hour

- Use the rule above to find the time

∵ Time = 35 ÷ 70 = \frac{1}{2} hour

∵  \frac{1}{2} hour =  

∴ Jeremy arrives to the factory in 30 minutes

∵ They leave their houses at the same time

∵ 25 minutes < 30 minutes

∴ Jason arrives first

(a) Jason arrives at the factory first

∵ Jason arrives to the factory in 25 minutes

∵ Jeremy arrives to the factory in 30 minutes

∵ 30 - 25 = 5 minutes

∴ Jeremy arrives after Jason by 5 minutes

(b) It takes 5 minutes until the other person arrives

Learn more:

You can learn more about the rules of motion in brainly.com/question/2088710

#LearnwithBrainly

You might be interested in
Points G, E, and O are collinear on segment GO, and GE:EO = 3:4. G is located at (-5,-1), O is located at (9,6). What are the co
pishuonlain [190]

Answer:

  E = (1, 2)

Step-by-step explanation:

You want ...

  (E -G) : (O -E) = 3 : 4

  4(E -G) = 3(O -E) . . . . . . . . "cross multiply"

  4E -4G = 3O -3E . . . . . . . . eliminate parentheses

  7E = 4G + 3O . . . . . . . . . . . add 3E+4G

  E = (4G +3O)/7 . . . . . . . . . .divide by 7

  E = (4(-5, -1) +3(9, 6))/7 = (-20+27, -4+18)/7 = (7, 14)/7 . . . . fill in G and O

  E = (1, 2)

4 0
3 years ago
Multiply the binomials: <br><br> (a-2) • (a-8)
umka21 [38]

Answer:

a^2 -10a +16

Step-by-step explanation:

(a-2) • (a-8)

FOIL

first a*a = a^2

outer: a * -8 = -8a

inner: -2 *a = -2a

last: -2 *-8 = 16

Add them together

a^2 -8a -2a+16

Combine like terms

a^2 -10a +16

6 0
3 years ago
Read 2 more answers
Simplify 3 : 18 the following in to the form 1 : n
vekshin1

Answer:

1 : 6

Step-by-step explanation:

3 : 18

3 ÷ 3 : 18 ÷ 3

1 : 18 ÷ 3

1 : 6

7 0
2 years ago
Read 2 more answers
What is the sum of –18 and 12?<br> A. –6<br> B. –12<br> C. 12<br> D. 6
PolarNik [594]

Answer:

A: -6

Step-by-step explanation:

Flip around the question

what is 12 - 18

If you count the numbers in between 12 and 18

You get 6

So now just make the answer negative

6 0
2 years ago
Read 2 more answers
The points -5,2 and -5,8 lie on a circle with a radius of 3. Find the center of the circle.
worty [1.4K]

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have two points A(-5, 2) and B(-5, 8). Substitute:

d=\sqrt{(8-2)^2+(-5-(-5))^2}=\sqrt{6^2+0^2}=\sqrt{6^2}=6

d is a diameter of a circle because d = 2r = 2(3).

The center of a circle is in midpoint of AB.

The formula of a midpoint:

M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

Substitute:

\dfrac{-5+(-5)}{2}=\dfrac{-10}{2}=-5\\\\\dfrac{2+8}{2}=\dfrac{10}{2}=5

Answer: (-5, 5).

6 0
3 years ago
Other questions:
  • Find the area of the shaded area
    6·2 answers
  • Which expression has a quotient of about 7
    10·1 answer
  • I AM SO STESSED ILL GIVE 13 POINTS FOR THE RIGHT ANSWER!!!!!!!
    14·1 answer
  • What the answer for question b
    8·1 answer
  • 80% of 15 plus fraction
    7·1 answer
  • Subtract 7x-9 from2x^2-11
    6·2 answers
  • HELPPP 20 PNTS
    10·1 answer
  • Factorize (2u+3u)(u+v)-2u+3v​
    11·1 answer
  • What is the quotient of the following division problem?
    8·1 answer
  • IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!