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
Inessa05 [86]
3 years ago
7

A motor scooter travels 20 mi in the same time that a bicycle covers 8 mi if the rate of the scooter is 4 mph more than twice th

e rate of the bicycle, find both rates
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

We observe that 20 is 4 more than twice 8. This suggests the time is 1 hour and the rates are

... scooter: 20 mi/h

... bicycle: 8 mi/h

_____

You can let b represent the rate of the bicycle in miles per hour. Then we have (for time in hours and distance in miles) ...

... time = distance/speed

... time = 20/(2b+4) = 8/b

... 20b = 8(2b+4) = 16b +32

... 4b = 32

... b = 8

The rate of the bicycle is 8 mph; that of the scooter is 2*8+4 = 20 mph.

You might be interested in
Mark has 312 books in his bookcases. He has 11 times as many fiction books as nonfiction books. How many fiction books does Mark
tankabanditka [31]
With the information given we can wirte down 2 different equations where:
x = How many Fictoon books there are
A nd y = How many non-fiction books there are :
#1) x + y = 312
( The total of the books is 312 )

#2) x = 11y
(He has 11 times as many firction books as he has non-ficton books)

Now what we need to do is to isolate one the variables ( x or y ) , get its value and apply to one the equations to get the other variable's value:
We can do that by the property of substitution:

If x = 11y
then x + y = (11y) + y = 12y

If x + y = 312
and x + y = 12y
then 12y = 312

Now with the equation 12y = 312 , we can isolate y by dividing both sides of the equation by 12 :
12/12y = 312/12
y = 26
What that means : Mark has 26 non-fictional books.

Now that we have the value of y , we can find the value of x by plugging y to one of the equations :

x + y = 312
or
x = 7y
( I will do both , but you dont need to )

x + y = 312
Plugin 26 for y :
x + 26 = 312

Shift 26 to the other side of the equation by subtracting both sides of the equation by 26:
x + 26 - 26 = 312 - 26
26 - 26 cancel out , so we end up with :
x = 286

Second Equation :
x = 11y
Plugin 26 for y:
x = 11 × 26

x = 286

Awnser : Mark has 286 fictoon books and 26 non-fiction !

I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)
5 0
4 years ago
To use the Trigonometry, we need... A) A right triangle with 2 known angles & 1 side B) A right triangle with 1 known side a
NikAS [45]

Answer:

B

Step-by-step explanation:

You use the side oppo the angle and the side that is labelled in trigonometry

5 0
3 years ago
{1800×(-90)}÷495÷(-22)​
Pani-rosa [81]

Answer:

7200

Step-by-step explanation:

{1800× (90)} ÷ 495 ÷ -(-22)

= 162000÷ 495÷ 22

= 162000×22÷ 495

= 7200

8 0
3 years ago
What is -3(-6z-5)-9z
andreyandreev [35.5K]
If you factor it then your answer will be -3(-3z-5) if you simplify the answer is 9z+15
7 0
3 years ago
Read 2 more answers
Helppppp and explain pls and thankyouuu
Mekhanik [1.2K]

Answer:

x=1

y= -1

z=2

Step-by-step explanation:

x+y+z=2 and x-y-2z=6

if z=2 then

x+y+2=2 and x-y+4=6

and these become

x+y=0 and x-y=2

usign linear cancellation method we get

2x=2

dividing both sides by 2 we get

x=1

then going back to one of the original equations and plugging x=1 and z=2 we get

1+y+2=2

solving for y we get

y= -1

3 0
3 years ago
Other questions:
  • How many solutions does the following equation have?
    12·2 answers
  • Carla uses a compass and straightedge to construct perpendicular lines. Daryl uses technology to construct perpendicular lines.
    11·2 answers
  • A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up
    9·1 answer
  • Solve the following equation: 156 + (7 – 3) x 7 = A. 174 B. 184 C. 1,050 D. 1,120
    12·2 answers
  • The selling price of a​ refrigerator, is ​$512.50. If the markup is 25 % of the​ dealer's cost, what is the​ dealer's cost of th
    10·1 answer
  • In ΔLMN, \overline{LN} LN is extended through point N to point O, \text{m}\angle NLM = (x-4)^{\circ}m∠NLM=(x−4) ∘ , \text{m}\ang
    12·1 answer
  • E^x not equal to zero
    7·1 answer
  • If 300 cubes can fit in the rectangular prism below what is the edge length of each cube
    15·1 answer
  • At the airport, the car rental store charges a $25.00 initial rental fee and $30.00 an hour to use the car. What is the total co
    12·1 answer
  • Explain how to use the distributive property to find the product (3) (4 1/5) ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!