<span>THE GIVEN QUESTION;
7x -3(4x-8) < 6x +12 - 9x
THE GIVEN INTERVAL OF X IS FROM [4,8] SO THE VALUE OF X ={4,5,6,7,8}
THE GIVEN QUESTION CAN BE EVALUATED TO
7x - 12x+ 24 < 12 - 3x
-5x + 24 < 12 - 3x //USING BODMAS RULE
NOW SUBSTITUTING THE VALUE OF X:
1) X=4 SOL: 4<0
2) X=5 SOL: -1<-3
3) X=6 SOL: -6<-6
4) X=7 SOL: -11<-9
5) X=8 SOL: -16<-12
HENCE THE VALUE OF X=7,8 SATISFY THE GIVEN INEQUALITY</span>
No graphs are shown......
Answer:
C. II only
Step-by-step explanation:
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3/4 × 2 2/5
Turn 2 2/5 into an improper fraction.
2 2/5 = (5 × 2) + 2 = 12
So, 2 2/5 = 12/5
So, our new question is : 3/4 × 12/5
Multiply the numerators (top numbers) with one another.
Numerators : (3 × 12) = 36
Multiply the denominators (bottom numbers) with one another.
Denominators : (4 × 5) = 20
So, our answer is 36/20
However, we need this to be a mixed number.
So, how many times does 20 go into 36? Once!
So, Multiply 20 with 1, and then subtract that number from 36! :)
20 × 1 = 20
36 - 20 = 16
So, our answer is :
1 16/20
Then, you simplify it once more.
Divide the numerator and denominator by 4.
16 ÷ 4 = 4
20 ÷ 4 = 5
So, our final answer is 1 4/5
~Hope I helped!~
Answer:
32901 gallons
Step-by-step explanation:
First, we find the volume of the cylindrical water tank when it is full.
The volume of a cylinder is given as:
V =
where r = radius and h = height of the cylinder
The diameter of the tank is 20 feet, hence, its radius is 10 feet.
Volume, V, is therefore:
V =
This is the volume of the tank, when it is full.
When it is 70% full, the volume will be:
1 cubic foot () is 7.48 gallons.
Therefore, the volume of the 70% full tank in gallons will be:
4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons
The tank contains 32901 gallons of water.