Answer:
x = 
Step-by-step explanation:
Given
35 = 11x ( isolate x by dividing both sides by 11 )
= x
Answer:
Discount is $2.70
After-discount price is $15.30
Step-by-step explanation:
To get the after-discount price, multiply $18 by (1.00 - 0.15), or, in other words, multiply $18 by 0.85. The after-discount price is $15.30.
Two ways to find the discount: one is to multiply $18 by 0.15; the other way is to subtract $15.30 from $18.
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25
Answer:
8cm
Step-by-step explanation:
We subtract 14 from the location of the ant as it traverses down the hole
0 - 14
= -14
As the ant crawls up we at 6
-14 + 6
= -8
The answer would be 8 cm under elevation
In one hour he traced the distance of: 36.15 miles
With one gallon of gas he went: 12.05 miles
;) There you go! Good Luck!
