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
mixer [17]
2 years ago
6

25 points if you answer. Martin Rode his bike 3 2/3 miles in 16 1/2 minutes. Assume he wrote the same speed the entire time. Ho

w fast did he ride in miles per minute?
Mathematics
1 answer:
Illusion [34]2 years ago
5 0

Answer:

The speed is 2/9 miles per minute

Step-by-step explanation:

Speed is defined as the distance covered per unit time.

The formula for speed is given by:

Speed = \frac{distance}{time}

Let s be the speed, d be the distance and t be the time then

s = \frac{d}{t}

Given

d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes

The speed will be calculated by dividing the number of miles by minutes

So putting the values in the formula

s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}

Hence,

The speed is 2/9 miles per minute

You might be interested in
Four bushels of oats weigh 58 kg. Find the constant variation
Greeley [361]

Answer:

14.5

Step-by-step explanation:

4 bushels equals 58 kg k=14.5

6 0
3 years ago
The sum of 5 consecutive integers is 110, what is the fourth number in this sequence?
Xelga [282]

The answer is:  " 23 " .

    →  The fourth number in the sequence is:  " 23 " .

_____________________________________

Explanation:

To solve:

 " x + (x + 1) + (x + 2) + (x + 3)  + (x + 4) = 110 " ;

in which:

 "x" = The first number in these sequence;

 "(x + 1 )" = the second number in the sequence;

 "(x + 2)" = the third number in the sequence;

 "(x + 3)" = the fourth number in the sequence;

 "(x + 4)" = the fifth number in the sequence;

_____________________________________

Solve for the "fourth number in the sequence" ; or:  "(x + 3)" ;

_____________________________________

Given:  " x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 110 " ;

                     ↔   " x + x + 1 + x + 2 + x + 3 + x + 4 = 110 " ;

→  Solve for "x" ;  

→  then,  solve for "(x + 3)" ;  

     →  which is the fourth number in this sequence;

_____________________________________

→  " x + x + 1 + x + 2 + x + 3 + x + 4= 110 " ;

      "5x + 1 + 2 + 3 + 4= 110 " ;

      " 5x + 10 =  110 " ;

Solve for "x" :

     Subtract "10" from EACH SIDE of the equation; as follows:

      " 5x + 10 - 10 =  110 - 10 " ;

 to get :

      "  5x = 100 " ;

Now, divide EACH SIDE of the equation by "5" ;

to isolate "x" on one side of the equation; & to solve for "x" ;  as follows:

         5x / 5  = 100 / 5 ;

to get:

         "  x  = 20 "  .

_____________________________________

Now, to find the fourth number in the sequence:

 →  " (x + 3) " ;

→  Substitute "20" for "x" ;

    " x + 3 = 20 + 3 = 23" ;

_____________________________________

The answer is:  " 23 " .

The fourth number in the sequence is:  " 23 " .

_____________________________________

Let us check our work:

If there are five "5" numbers in the sequence, and "23" is the "fourth number" , then:  "24" is the "fifth number" .

As such:  "22" is the "third number" ;  "21" is the "second number" ; and "20" is the "first number" .  Is this consistent with:  "x = 20" as the "first number" ?  Yes!

Thus,  "20 + 21 + 22 + 23 + 25 = ?  110 ?  ? ;

→  20 + 21 = 41 ;

→  41 + 22 = 63 ;

→  63 + 23 = 86 ;

→  86 + 24 = 110 .    Yes!

_____________________________________

Hope this answer is helpful!

Best wishes in your academic pursuits—

 and within the "Brainly" community!

_____________________________________

5 0
3 years ago
In a appropriate environment, guppies reproduce at an astounding rate. A population of reproducing guppies quadruples every mont
Marianna [84]
If the guppies multiply by four in six months then that 4 raised to the power of six. Then multiply it with the starting number of guppies which is 6Formula=4^6 (6)4096 x 6= 24576
So, there are 24, 576 guppies in six months. The answer is A.
3 0
2 years ago
There were 12,351 visitors to a history center last year .what is this number rounded to the nearest hundred? Explain how you ro
OlgaM077 [116]
12,351 ~ 12,400 I rounded 12,351 to 12,400 because when there is 5 when you round,the hundred goes up.
~
3 0
2 years ago
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
balu736 [363]

Answer: It is Right

Step-by-step explanation:

Nas and Pan together makes a abtuse angle but PAN by itself makes a right triangle

8 0
2 years ago
Other questions:
  • Could someone please answer these questions with simple yet explanatory answers?
    11·1 answer
  • Need Help please fast
    7·1 answer
  • At jacks laundromat, 6 of the washers must be replaced. These washers represent 1/4 of the total number of washers. If w represe
    6·2 answers
  • Someone please help me with the surface area
    10·2 answers
  • Solve:<br> 4x+6&lt;-6<br> Need step by step answer
    12·2 answers
  • I need help. it's a division sign
    12·2 answers
  • 10a+5b=15 can you help me solve it
    8·1 answer
  • The drama club had a 'Yard Clean Up' day to earn money for their next production. At the end of the day, they had earned a total
    15·1 answer
  • What is the greatest common factor (GCF) of 64 and 48?
    6·2 answers
  • How do i find? its for a final
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!