Answer:
b
Step-by-step explanation:
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15
5* x -2 should be right but I’m not sure
<u>Answer:</u>
37
<u>Step-by-step explanation:</u>
Product of two consecutive integers: assuming
to be the first positive integer so the next consecutive integer will be
.
So we get the equation:

Now solving it to get the value of the larger integer (x+1):



(Ignoring the negative value of x)

Therefore, the larger integer will be
37.
Answer: it will take 5 people 1.5 hours
Step-by-step explanation:
It took 3 people 2 1/2 hours to paint a large room. Changing from mixed fraction to improper fraction, 2 1/2 hours will be 5/2 hours. Therefore,
It took 3 people 5/2 hours to paint a large room.
For 5 people to paint a similar room, it will take them lesser time. Thi s is an inverse variation. Therefore, the number of people is varies inversely
with the time it takes them to paint the room.
Let number of people be p and time it takes be t
p varies inversely with t.
Introducing constant of variation, k, it becomes
p = k/t
If 3 people take 5/2 hours, then
3 = k/(5/2)
k = 3 × 5/2 = 7.5
Our expression becomes
p = 7.5/t
The time it will take 5 people will be
p = 5 so,
5 = 7.5/t
t = 7.5/5 = 1.5 hours