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erma4kov [3.2K]
3 years ago
13

What value of x is in the solution set of 3(x – 4) > 5x + 2?​

Mathematics
2 answers:
Sholpan [36]3 years ago
6 0

Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

zimovet [89]3 years ago
6 0

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

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ivanzaharov [21]

Answer:

3

Step-by-step explanation:

Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.

4 0
3 years ago
Since insulin u-100 is 100 units/mL,which of the following shortcuts can be used to convert a dose of u-100 insulin given in uni
N76 [4]

Answer:

The shortcuts is

     Divide number of units by 100

Step-by-step explanation:

From the question we are told that

  insulin u-100 is  L  =  100 \ unit /mL

 From the data given above we see that

           100 units of  insulin u-100 is contained in  1 mL

So         1 unit of  u-100 is contained in  x mL

=>       x =  \frac{1}{100} \  mL

This means that a unit of  insulin u-100 occupies  x =  \frac{1}{100} \  mL

So we can represent a single unit of insulin u-100 as  \frac{1}{100} \  mL

  Now if 1 unit of insulin u-100 is represented  as    \frac{1}{100} \  mL

Then y unites of   insulin u-100  is represented as  z

So

         z = \frac{y}{100}  \  mL

From the above calculation we can see that the shortcuts to convert  u-100 insulin given in units, to mL is to  divide  number of units by 100

                       

6 0
3 years ago
What is the value of x in the equation
MrRissso [65]

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 1.4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

0.7x - 1.4  = -3.5

→ First multiply everything by 10 to make everything into a whole number

7x - 14 = -35

→ Plus 14 to both sides to isolate 7x

7x = -21

→ Divide both sides by 7 to isolate 7

x = -3

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