The value of B is 48m. squared
This is because the formula for a triangle is (length×hight÷2)
So in this case, multiply 16 and 6 to get 96. Then divide 96 by 2 to get 48m. squared
If 25 students took an exam and 4 of the students that took the exam failed, what percent of the students passed?
To find out how many students passed, we can subtract 4 from 25 and we will get a difference of 21.
The fraction 
represents the number of students who passed the exam out of all the students.
To find out what percent of the students passed, we can turn into a percent.
21 ÷ 25 = 0.84
0.84 × 100 = 84%
Therefore, 84% of the students who took the exam passed.
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:
-4y^3 + 4y^2 - 6y + 25
Step-by-step explanation:
<u>Step 1: Distribute the plus</u>
(-4y^3 – 5y +16) + (4y^2 – y + 9)
-4y^3 - 5y + 16 + 4y^2 - y + 9
<u>Step 2: Combine like terms</u>
-4y^3 - 5y + 16 + 4y^2 - y + 9
-4y^3 + 4y^2 - 6y + 25
<span>18x-16=-12x-4
+12x +12x
30x-16=-4
+16 +16
30x=12
30x/30=12/30
x=2/5</span>
