3(x + 6) - 2(x + 2) > = 10
3x + 18 - 2x - 4 > = 10
x + 14 > = 10
x > = 10 - 14
x > = -4 <===
Answer: It will take the largest pipe 5.5 hours to fill the swimming pool alone.
It will take the smallest pipe 16.5 hrs to fill the swimming pool alone.
It will take the other pipe 11 hours to fill the pool alone.
Step-by-step explanation: let time needed to fill the swimming pool by the largest pipe be x ... eq (1)
Let time needed to fill the swimming pool by the smallest pipe be 3x ... eq(2)
Let time needed to fill the swimming pool by the other pipe be 2x ...eq(3)
The job to be done (to fill a swimming pool) be 3/x +3/3x+3/2x=1 ... eq(4)
Multiply 6x on both sides you will get:
6(3)+2(3)+3(3)=6x
18+6+9=6x
33=6x
33/6=x
X=5.5hours
Substitute x=5.5 into EQ 2 and 3
3x=3×5.5=16.5hours
2x=2×5.5=11hours
Check: substitute the value of x into eq3/5.5+3/16.5+3/11
0.545+0.182+0.273=0.9997=1
Answer:
Her final average now is 68.
Step-by-step explanation:
In order to find the grade average, you have to multiply each item for its percentage and add the results. Since the statement indicates that the final is 20% of the grade and she forgot to do it, that means that she got 0 for that 20%. Also, we can say that the average she has of 85 represents 80% of her grade and you have to multiply the average for the percentage:
85*0.8= 68
According to this, the answer is that her final average now is 68.
Answer:
x^2+y^2=6^2
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2
where h is the x coordinate of the center, k is the y coordinate of the center, and r is the radius of the circle.
We can see the center is on 0,0, and the radius is 6, so our equation is
(x-0)^2+(y-0)^2=6^2
or
x^2+y^2=6^2
Answer:
9:6=36:24
Step-by-step explanation:
9 is equal to 1.5x 6 and 36 is equal to 1.5x 24 so both can be simplified to a ratio of 3:2.