Let's Solve ~
or
[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]
so, let's use this identity here to factorise :
I hope it was helpful ~
Answer:
p= 2
Step-by-step explanation:
So first you want to distribute the 6 to 3p-2 which basically means multiply
6(3p – 2) = 24
6 times 3p is 18 and 6 time -2 is -12
* remember a negative and a positive equal a negative*
18p-12=24
you want to get 18p by itself, so in order to do that you can add 12 to both sides because if you add 12 on the left side it cancels out -12 and whatever you do to one side you have to do it to the other so add 12 to 24 which is 36
18p = 36
since you want to get p by itself you divide p on both sides so it can cancel out 18 and 36/18 is 2
so p = 2
if you are wondering why i divide it and not subtract or add it is because 18 and p are stuck together so you have to divide but if it was like 18 + p you can subtract because 18 and p arent together
Answer: Right Angle
Step-by-step explanation:
And Since The Angles Of a Trangle Add Up To 180° When You Substract 90 From It You Remain With Another 90° Which Means The Angle Is Non Other Than a right angle traingle
60° + 30° = 90°
180° - 90° = 90°
∴ 90° = Right Angle Traingle
Answer: $900
Step-by-step explanation:
The simple interest is calculated using the formula:
(P × R × T)/100
where,
P = Principal = $3000
R = Rate = 6%
T = Time = 5 years
Simple Interest = (P × R × T)/100
= ($3000 × 6 × 5)/100
= 90000/100
= $900
Therefore, the simple interest is $900
1.
If no changes are made, the school has a revenue of :
625*400$/student=250,000$
2.
Assume that the school decides to reduce n*20$.
This means that there will be an increase of 50n students.
Thus there are 625 + 50n students, each paying 400-20n dollars.
The revenue is:
(625 + 50n)*(400-20n)=12.5(50+n)*20(20-n)=250(n+50)(20-n)
3.
check the options that we have,
a fee of $380 means that n=1, thus
250(n+50)(20-n)=250(1+50)(20-1)=242,250 ($)
a fee of $320 means that n=4, thus
250(n+50)(20-n)=250(4+50)(20-4)=216,000 ($)
the other options cannot be considered since neither 400-275, nor 400-325 are multiples of 20.
Conclusion, neither of the possible choices should be applied, since they will reduce the revenue.
