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Scilla [17]
3 years ago
9

How do you solve this as a solution 9(2 + 3x) < 72

Mathematics
1 answer:
laila [671]3 years ago
7 0

Answer:

x <2

Step-by-step explanation:

9(2 + 3x) < 72

Divide each side by 9

9/9 *(2 + 3x) < 72/9

2+3x < 8

Subtract 2 from each side

2+3x-2 < 8-2

3x<6

Divide each side by 3

3x/3 <6/3

x <2

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A water tank in the shape of a rectangular has a volume of 900 cubic feet. It is 15 feet long, 10 feet wide. What is the height
mote1985 [20]

Answer:

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3 0
3 years ago
Divid 15 into two parts such that the sum of their reciprocal is 3/10
emmasim [6.3K]
Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)


Let's solve  1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

 ==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and 
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
4 0
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