Answer:
x=5 x=6
Step-by-step explanation:
x^2 - 8x + 30 = 3x
Subtract 3x from each side
x^2 - 8x-3x + 30 = 3x-3x
x^2 - 11x + 30 = 0
What 2 numbers multiply to 30 and add to -11
-5*-6 = 30
-5+-6 = -11
(x-5) (x-6) =0
Using the zero product property
x-5 = 0 and x-6 =0
x-5+5 =0+5 and x-6+6 =0+6
x=5 x=6
Answer:
60 second
Step-by-step explanation:
6km into minutes
1 minutes is 60 second
Answer:
3/8÷1/4=1 1/2
Step-by-step explanation:
I am not sure what you are asking here, So I am gonna explain how you divide this.
So using the KCF method (Keep Change Flip) You would KEEP the first fraction (3/8) and CHANGE the operation (from divide to multiply) then FLIP your second fraction (1/4 to 4/1)
After doing this, it should look like:
3 4
x
8 1
Now that we got that, you multiply from left to right. 3×4 is 12. 8×1=8.
That should leave you with 12/8. But this is an improper fraction. So you would divide top by bottom to get a mixed fraction.
It should look like this
01. 1 1/2
8 12
8
4
Step by step explanation:
8 only goes into 12 one time. So you would subtract 12 by 8, and get 4. From that you would get 1 4/8 but 1 4/8 can be simplified to 1 1/2.
So it is 1 1/2
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
Answer:
288 miles
If we have the distance, we divide by 36 instead to find how many gallons of gas he used.
Step-by-step explanation:
180/5=36 miles per gallon
8 gallonsx36 miles per gallon=288 miles
pls mark brainliest