Answer:
4/9
Step-by-step explanation:
11/18-1/6
The first step is to get a common denominator, which is 18. We can multiply 1/6 by 3/3 to get the denominator to 18
11/18 - 1/6 *3/3
11/18 - 3/18
8/18
Now we can simplify the fraction by dividing the top and bottom by 2
4/9
<span>1/5
This is a matter of elimination. So let's figure out how many of each display there is.
30% of 150 = 0.30 * 150 = 45 displays about electricity.
2/5 * 150 = 0.40 * 150 = 60 displays about renewable energy
1/10 * 150 = 150/10 = 15 displays about gas.
The rest of the displays are about nuclear power. So
150 - 45 - 60 - 15 = 30 displays about nuclear power. Since we want a fraction, we get 30/150
But 30/150 isn't in it's simplest form. The largest number that will evenly divide both 30 and 150 is 30. So divide both the numerator and denominator by 30
(30/30)/(150/30) = 1/5
So 1/5 of the displays are about nuclear power.</span>
Answer:
no solution
Step-by-step explanation:
-9x +5 < 17 AND 13x + 25 < -1
Solve each part separately and then put back together
-9x +5 < 17
Subtract 5 from each side
-9x+5-5< 17-5
-9x < 12
Divide each side by -9 remembering to flip the inequality
-9x/-9>12/-9
x > -4/3
and
13x + 25 < -1
subtract 25 from each side
13x +25-25 < -1-25
13x <-26
Divide by 13
13x/13 < -26/13
x <-2
There is no overlap so there is no solution
A. There are 3 feet per yard.
so... 390/3=130 yards
Answer:
The inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.
Step-by-step explanation:
From the information provided, the inequality would indicate that the phone bill for the month that is equal to the result of the fixed fee plus the price per minute for the number of minutes has to be less than $40, which can be expressed as:
15.95+0.10m<40
Now, you can solve for m:
15.95+0.10m<40
0.10m<40-15.95
0.10m<24.05
m<24.05/0.10
m<240.5
According to this, the answer is that the inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.
