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
azamat
3 years ago
7

Two cyclist leave towns 75moles apart at the same time and travel towards each other. One cyclist travels 7 mph faster than the

other. If they meet in 3 hours, what is the rate of each cyclist?
Mathematics
2 answers:
GaryK [48]3 years ago
5 0

Answer:

Step-by-step explanation:

Givens

d1 = d

d2 = 75 - d

r1 = x

r2 = x + 7

t = 3

Equation

x*t + (x + 7)*t = 75

This equation represents the total distance travelled. Neither one of the cyclists have gone 75 miles, but they both have gone distances that equal a total of 75 miles.

Solution

3x + (x + 7)*3 = 75

3x + 3x + 21 = 75

6x + 21 = 75

6x = 54

6x/6 = 54/6

x = 9

Answer

The first cyclist is going 9 miles / hr

The second cyclist is going 16 miles / hour

IgorLugansk [536]3 years ago
3 0

Answer:

One travels 10.2mph, the other (the one who traveled 7mph faster) traveled at a rate of 14.8mph

You might be interested in
Danni thinks of a number. She subtracts 2 then multiples the result by 8. The answer is the same as subtracting 5 from the numbe
Elena L [17]

Answer:

8

Step-by-step explanation:

let the number=x

8(x-2)=16(x-5)

divide by 8

x-2=2(x-5)

x-2=2x-10

2x-x=-2+10

x=8

8 0
2 years ago
Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Deffense [45]

Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

5 0
3 years ago
If an object is dropped from a tower, then the velocity, V (in feet per second), of the object after t seconds can be obtained b
Amiraneli [1.4K]

Answer:

259.6 ft/sec

Step-by-step explanation:

it is a universal standard that acceleration due to gravity is 32ft/sec^2.

Now it can be verified by equation,

V(f) = V(i)+at (1st equation of motion derived by Newton's three laws of motion)

where,

V(f) is final velocity

V(i) is initial velocity

a is acceleration which is constant and have value 32ft/sec^2

t is time which is given as 7.8 seconds

In the given case, initial velocity that is V(i) will be 0ft/sec. Because, on dropping, object will start to move under the influence of gravity from zero speed.

So,

V(f) = 0 +(32) (7.8)

V(f) = 249.6 ft/sec

Now the condition is given that you have to add a constant 10 to the answer.

so, V(f) = 249.6 + 10

      V(f) = 259.6 ft/sec

5 0
4 years ago
Jim
stealth61 [152]

yes i agree because if all the integers are positive, the answer stays positive which means if you know your integer rules: a positive divide by a positive it stays positive. its the same thing for all the other operations. hope this helps.

6 0
3 years ago
Read 2 more answers
james pays $120.00 for golf clubs that are on sale for 20% off at golf pros. at nine iron the sabe clubs cost $8.00 less than th
Alexandra [31]
The answer is 126.56 really hope that’s right:)
3 0
3 years ago
Other questions:
  • Question down below thxx!!!!
    13·1 answer
  • Alice earns a monthly salary of 315 dollars plus a commission on her total sales.last month her total sales were $9640,and she e
    9·1 answer
  • -2(x - 4) = -8 solve
    5·2 answers
  • Deepak spent 178$ on food last month if he reduces by 15% the next month how much will he spend
    15·1 answer
  • 3/8<br> ×<br> 2/6<br> THIS IS ERGENT HELP
    5·2 answers
  • For all real numbers a and b, if ab=0, then a=0 or b=0. True or false?
    9·2 answers
  • Stu wants to join a gym. Fit-Place charges a $135 startup fee and then $35 per month. The Factory has no startup fee but charges
    11·2 answers
  • On every sale he makes, Bill earns a commission. On a bed he sells for $591, Bill earns a $43 commission. Find the percent commi
    11·1 answer
  • The perimeter of a triangle is 7a-11b . If two of its sides are 2a+b and a-9b, what is the third side?
    8·1 answer
  • During a sale, a store offered a 15% discount on a tablet computer that originally sold for $460. After the sale, the discounted
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!