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
ELEN [110]
1 year ago
9

Jane travels7 mph less than2 times as fast as Mike. Starting at the same point and traveling in the same direction, they are198

miles apart after6 hours. Find their speeds.
Mathematics
1 answer:
Sphinxa [80]1 year ago
4 0

Let:

Vj = Speed of jane

Vm = Speed of mike

d = distance

t = time

Jane travels 7 mph less than 2 times as fast as Mike, therefore:

Vj = 2Vm - 7

Remeber:

distance = speed*time

Distance traveled by mike:

d=Vm*t = Vm*6

Distance traveled by jane:

d + 198 = Vj*6

where:

Vj = 2Vm - 7

d + 198 = (2Vm-7)*6

Now, let:

d=Vm*6 (1)

d + 198 = (2Vm-7)*6 (2)

Replace (1) into (2)

6Vm + 198 = 12Vm - 42

Subtract 6Vm from both sides:

6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm

198 = 6Vm - 42

Add 42 to both sides:

198 + 42 = 6Vm - 42 + 42

240 = 6Vm

Divide both sides by 6:

240/6 = 6Vm/6

40 = Vm

Vm = 40mph

Replace Vm into this equation Vj = 2Vm - 7 :

Vj = 2(40) - 7 = 80 - 7 = 73mph

You might be interested in
What are the steps for this inequality: 6z < 48
cestrela7 [59]

Answer:

z<8

Step-by-step explanation:

First: write down the equation : 6z<48

Second: divide both sides with 6 (since its the only number that can be divided for both sides)

Third: then you'll get z<8

4 0
3 years ago
Find the equation of a line that contains the points (4, -2) and (-8, -1). Write the equation in slope-intercept form, using
zmey [24]

Answer:

y =−12 /1 x−3 /5

8 0
2 years ago
Which is the equation of the linear model?
Zielflug [23.3K]
The answer is B. y =  0.75 + 2.25. because i've done this assement.

3 0
3 years ago
An equation is shown. 2x-4y=8 solve the equation for x in terms of y
horrorfan [7]
2x-4y=8

Add 4y to each side to separate the variables, since you want to solve for x let be on the left

2x=4y+8

Divide the entire equation by 2 to allow x to stand alone

x=2y+4








And I have to type some more so it will let me answer the question so here ya go
7 0
3 years ago
Write and evaluate an expression for: Music lessons cost $20 a week. How much do 6 weeks of lessons cost?
givi [52]

Answer:

$120 dollars.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Factor completely 2x^2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5)
    6·1 answer
  • Find the area of a circle
    7·1 answer
  • candice buy a board that is 12 feet long. the store incorrectly masures and prices the board at 13.2 feet. what is the percentag
    7·1 answer
  • A gas station has a cylindrical fueling tank that holds the gasoline for its pumps, as modeled below. The tank holds a maximum o
    12·1 answer
  • Which best describes the type of association shown in this scatter plot?
    9·2 answers
  • Solve each equation.<br> X – 10 = 4<br> Math
    12·2 answers
  • Find the length of the missing side. Give your answer in the simplest radical form.
    7·1 answer
  • Write 77^1/10 in the form <br> n√77 where n is a whole number.
    14·1 answer
  • Plot all points that are a distance of 7 units from 4. What are their values?
    13·1 answer
  • What’s the perimeter of a rectangle with a length of 4.2cm and a width of 2.8cm
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!