Answer:
length= 9
width= 3
Step-by-step explanation:
x= width
length = x+6
x+6+x+6+x+x=24
4x+12=24
take 12 from both sides
4x= 12
x=3
5 packs of stamps and 7 packs of envelopes. There will be a total of 70 envelopes and stamps.
Answer:
18 pounds of cashews are needed.
Step-by-step explanation:
Given;
A manager bought 12 pounds of peanuts for $30.
Price of peanut per pound P = $30/12 = $2.5
Price of cashew per pound C = $5
Price of mixed nut per pound M = $4
Let x represent the proportion of peanut in the mixed nut.
The proportion of cashew will then be y = (1-x), so;
xP + (1-x)C = M
Substituting the values;
x(2.5) + (1-x)5 = 4
2.5x + 5 -5x = 4
2.5x - 5x = 4 -5
-2.5x = -1
x = 1/2.5 = 0.4
Proportion of cashew is;
y = 1-x = 1-0.4 = 0.6
For 12 pounds of peanut the corresponding pounds of cashew needed is;
A = 12/x × y
A = 12/0.4 × 0.6 = 18 pounds
18 pounds of cashews are needed.
Answer:
1 hour and 42.8 minutes
Step-by-step explanation:
To answer this question let's call
while it takes Jenna to clean the gutters
Let's call
while it takes John to clean the gutters
h
h
t = total time
g = job = 1 (clean the gutters)
The speed of each one is:
g/ h
g/h

So:


h
Then, both together paint
of gutters for each hour.
This means that it takes
hours to clean the gutters together
Finally cleaning together takes 1,714 hours or also
1 hour and 42.8 minutes