Answer:
x= 3, 1
Step-by-step explanation:
Suha should buy 150 envelopes from shop 1 because the cost in shop 1 is 0.06 less shop 2.
<u>Step-by-step explanation</u>:
Total number of envelopes = 150
<u>The cost of envelopes :</u>
- Pack of 25 envelopes in shop 1 = 3.49
- Pack of 10 envelopes in shop 2 = 2.10
- Buy 2 packs get 1 pack free in shop 2.
<u>Shop 1 :</u>
The number of packs to buy 150 envelopes = 150 /25 = 6 packs
The total cost to buy 6 packs = 6 × 3.49 = 20.94
The cost of 150 envelopes in shop 1 is 20.94
<u>Shop 2 :</u>
The number of packs to buy 150 envelopes = 150 /10 = 15 packs
- For each 2 packs you get 1 pack free.
- 10 packs + 5 free packs = 15 packs
The total cost to buy 10 packs = 10 × 2.10 = 21
The cost of 150 envelopes in shop 2 is 21
The difference between shop 2 and shop 1 = 21 - 20.94 = 0.06
Therefore, the cost in shop 1 is 0.06 less than shop 2. So, Suha should buy 150 envelopes from shop 1.
The largest radius for the swimming pool is 15.1 feet
Step-by-step explanation:
Step 1:
Circumference of the circular swimming pool built by Dan = 95 feet
We need to determine the largest radius for the pool.
Step 2 :
Circle's circumference is given by 2πr
Where r represents the radius
This shows that the radius is in direct proportion to the circumference. Hence the radius corresponding to the maximum circumference will be the largest possible radius
So we have 2πr = 95
=> r = 
=> r = 
× 
where 
=> r = 15.1 feet (rounded off to tenth of a foot)
Step 3 :
The largest radius for the swimming pool is 15.1 feet
The equation of a line in slope-intercept form is equal to
y=mx+b
where
m is the slope
b is the y-intercept
we have
m=-5/2
point (4,-3)
substitute in the expression above
-3=-(5/2)(4)+b
solve for b
-3=-10+b
b=10-3
b=7
therefore
the equation of the line is
<h2>y=-(5/2)x+7</h2>
