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
Lera25 [3.4K]
3 years ago
10

Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as fa

r as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.
Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)      

The Fourth-day ride will be=1.5*1.5(1.5x)  

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

You might be interested in
$7 is what percent of 10$
marissa [1.9K]

Answer:

7/10

Step-by-step explanation:

you got 7 out of 10 dollars

5 0
3 years ago
Read 2 more answers
At a candy store, Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bough
mel-nik [20]
Cinnamon Red Hots- $4 per pound.
Gummy Bears- $9.
8 0
3 years ago
Read 2 more answers
Rain began failling at 2:18 . It rained for 1 hour and 36 minutes
prisoha [69]

Answer:

It stopped raining at 3:54

Step-by-step explanation:

4 0
2 years ago
(rs) (4) = (r/s) (3) =
Dmitriy789 [7]

Answer:

(rs) (4) = (r/s)(3) = (r)(s)(2)

4 0
3 years ago
Twenty different books are to be put on five book shelves, each of which holds at least twenty books.
olya-2409 [2.1K]

Answer:

(a) 10,626 different arrangements

(b) 95,367,431,640,625 different arrangements

(c) 2.5852017 × 10²² different arrangements

Step-by-step explanation:

(a) How many different arrangements are there if you only care about the number of books on the shelves (and not which book is where)?

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626 arrangements

(b) How many different arrangements are there if you care about which books are where, but the order of the books on the shelves doesn't matter?

Since the order of the books on the shelves does not matter,

The calculation is given as

5²⁰ = 95,367,431,640,625 arrangements

(c) How many different arrangements are there if the order on the shelves does matter?

Since order matters now

Step 1

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626

Step 2

We find the factorial of the number books

= 20!

= 2,432,902,008,176,640,000

Step 3

The different arrangements there are if the order on the shelves does matter is calculated

= 10,626 × 2,432,902,008,176,640,000

= 2.5852017 × 10²² different arrangements

8 0
3 years ago
Other questions:
  • Small side farms sells delicious and empire apples. One August they sold 162 more empire than delicious apples. The total number
    5·1 answer
  • 2. Suppose that
    14·1 answer
  • What is the only natural lake in Texas?
    5·2 answers
  • (-4,r) (-8,3) m=5 Find r please!
    15·1 answer
  • At a hockey game, a vender sold a combined total of 115 sodas and hot dogs. The number of sodas sold was 37 more than the number
    14·1 answer
  • What is 3/4 x 5/6<br><br> A) 1/2<br> B) 1/3<br> C) 2/3<br> D) 5/8
    6·1 answer
  • Can I please get help with this math problem? Thanks in advance.
    6·2 answers
  • PLZ HELP DUE TODAY IN 10 MIN
    8·2 answers
  • A triangle has sides with lengths of 4 inches, 14 inches, and 17 inches. Is it a right triangle?
    11·1 answer
  • If a rectangular house is 50 feet wide and contains 2,500 sq/ft, what is its depth?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!