The rate that Marcus works is (1/3) of the job in (4/5) of an hour....
(1/3)/(4/5)=1/h
(1/3)(5/4)=1/h
5/12=1/h
5h=12
h=12/5
So Marcus will take 12/5 hours to complete the job.
Each box contains 24 pens...and u need 266 pens..
266/24 = 11.08....u would need to buy 12 boxes.....because 11 boxes would only have (11 * 24) = 264 pens
answer : 12 boxes
Answer:
Grace jumped for 9 minutes and Zoe jumped for 12 minutes
Step-by-step explanation:
Let Grace jumped for x minutes and Zoe jumped for y minutes
Grace jump no. of times in 1 minute = 66
Grace jump no. of times in x minutes = 66x
Zoe jump no. of times in 1 minute = 56
Zoe jump no. of times in x minutes = 56x
We are given that Their jumps today and together they jump 1266 times in the total of 21 minutes
So, x+y=21 ----1
66x+56y=1266 ---2
Substitute the value of x from 1 in 2
66(21-y)+56y=1266
y=12
x+y=21
x+12=21
x=21-12
x=9
Hence Grace jumped for 9 minutes and Zoe jumped for 12 minutes
4t+ 14= 6t/5+ 7
⇒ 4t+ 14= 6/5t+ 7
⇒ 4t -6/5t= 7 -14
⇒ (4 -6/5)t= -7 (distributive property)
⇒ 14/5t= -7
⇒ t= -7/ (14/5)
⇒ t= -5/2
⇒ t= -2.5
Final answer: t= -2.5~
The geometric mean is 29.5804