Answer:
<u>The final answer is 35n/17r</u>
Step-by-step explanation:
Let's simplify the expression, this way:
1. Start with the coefficients:
(10 * 42)/(6 * 34)
We cancel 6 in the denominator and change 42 by 7. Now we have:
(10 * 7)/34
We now divide by 2 both in the numerator and the denominator. Now we have:
(5 * 7)/17.
The remaining numbers are prime numbers and it's not possible to continue simplifying, so we got:
35/17
2. Variable r:
We have r⁴/r⁵ = r ⁴⁻⁵ = r⁻¹ = 1/r¹ = 1/r
3. Variable n:
We have n⁴/n³ = n ⁴⁻³ = n¹/1 = n
4. Adding the pieces:
We put coefficients and variables together: 35/17 * 1/r * n
<u>The final answer is 35n/17r</u>
Answer:
the profit will be $172
Step-by-step explanation:
The function given is:
p(x) = 2(x-9)^2 + 100
Where x is the price of the each shirt.
if each shirt is sold for $15, hen x = 15.
the profit will be:
p(15) = 2(15-9)^2 + 100
p(15) = 2(6)^2 + 100
p(15) = 2(36) + 100
p(15) = 72 + 100
p(15) = 172
So, the profit will be $172
The top and bottom have area (2.4 ft)² = 5.76 ft².
The sides have area (4*2.4 ft)*(3.4 ft) = 32.64 ft².
The the total area is (2*5.76 +32.64) ft² = 44.16 ft². All but the bottom area is then 44.16 ft² -5.76 ft² = 38.40 ft².
The ratio (all but bottom area)/(total area) is then
38.40/44.16 ≈ 87.0%
The formula for the total amount costumers pay is 20x+20 because 20* the number of days is 20x and then you have to add the 20 dollars for the service fee. The costumer paid less than 80 dollars so 20x+20, which is what the costumer paid, is less than 80. The answer is $20x+$20<$80.
