If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
If the 1/3 candy is shared into three equal parts. Then the fraction of the candy bar will each kid get will be 1/9.
<h3>What is division?</h3>
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Alex has 1/3 of a candy bar.
He wants to share what he has left of his candy bar with his 2 friends so that all three of them get equal portions.
Then the fraction of the candy bar will each kid get will be
More about the division link is given below.
brainly.com/question/369266
#SPJ1
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
Answer:
4% of all adults go to a health club at least twice a week
Step-by-step explanation:
the proportion of adults who belong to health clubs is 10% that is 0.10
the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.
Thus, the proportion of all adults who go to a health club at least twice a week is
0.10 × 0.40 = 0.04, that is 4%
