MATHEMATICS COLLEGE

Alejando read 4 pages in a book in 6 minutes. How long would you expect him to read 6 pages at this rate

Answers

Answer 1

Answer:

Answer:

So simple

4 pages = 6 min

1 page = 6/4 min

6 pages = 6 × 6/4

6 pages = 9 min

Answer 2

Answer: he would read 6 pages in 9 minutes

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Which expressions are equivalent to the one below? Check all that apply.25^x
A. 5^x•5^x B. 5•5^x
C. 5^2•5^x
D. 5^2x
E. 5•5^2x F. (5•5)^x

Answers

Answer:

A. 5^x•5^x

D. 5^(2x)

F. (5•5)^x

Step-by-step explanation:

25^x = (5•5)^x = (5^2)^x = 5^(2x) = (5^x)^2 = (5^x)•(5^x)

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

a•a = a^2

The perimeter of a rectangle, P, is given by P = 2L + 2W, where L is its length and W is its width. What is the perimeter of a rectangle of length 9 ft and width 13 ft?

Answers

Answer: 44 ft

Step-by-Step Explanation:

Length (L) = 9 ft
Width (W) = 13 ft
Perimeter (P) = 2L + 2W

Substitute values of ‘L’ and ‘W’ :-

= 2L + 2W
= 2(L + W)
= 2(9 + 13)
= 2(22)
= 2 * 22
=> 44

Hence, Perimeter (P) = 44 ft

WILL GIVE BRAINLIEST Patrick decided to start his own business. his business made 35,000 the first year his profits have increased annually by an average of 2.5%a. write and iterative (explicit) rule to model the sequence formed by patricks profits each year. Show your work

b. use the rule you wrote to determine what the profits will be after twelve years from the start of his business. round your answer to the nearest dollar. do not round until the end! show all fo your work

Answers

(a)

his profits increase annually by 2.5%, thus the profits each year form a geometric sequence with r = 1.025

that is 100 + 2.5 = 102.5% = 1.025

$a_(n)$ = 35000 × $(1.025)^(n-1)$ ← explicit rule

(b)

$a_(12)$ = 35000 × $(1.025)^(11)$ = 45923....

Profits after 12 years ≈ $46000

hugo sells handmade key chains online. Yesterday he made 6 keychains in 30minutes. hugo wants to make 9 keychains today . if hugo works at the same rate today how long will it take him to make the keychains