Answer:
See the attached
Step-by-step explanation:
The solution and filled in Venn diagram is attached
Answer:
x=60
Step-by-step explanation:
Given that ,
HCF of 140 and x=20,
LCM of 140 and x =420.
Solution:
It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:
140*x= HCF*LCM
Putting in the values provided,
140*x=20*420
140*x=8400
x=8400/140
x=60
Hence the variable x is 60.
Amount needed=earned+already have
205=earned+30
earned=7 times number of hours=7h
205≤7h+30
we used the less than or equal to because he needs at least 205, means 205 or greater must be earned
205≤7h+30
minus 30 both sides
175≤7h
divide both sides by 7
25≤h
needs to work at least 25 hours
Answer:
a= (π/4) + (kπ/2)
Step-by-step explanation:
I have attached the explanation above. hopefully this will help