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Gre4nikov [31]
3 years ago
11

What value of x is in the solution set of 9(2x + 1) < 9x - 18?

Mathematics
2 answers:
NikAS [45]3 years ago
7 0
B. Should be the answer :)
Alex17521 [72]3 years ago
6 0

Answer:

b. -3

Step-by-step explanation:

9(2x+1) < 9x-18

(distribute the 9)

18x+9 <9x-18

(subtract 9 from both sides)

18x<9x-27

(subtract 9x from both sides)

9x<-27

(divide both sides by 9)

x<-3

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Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya​. How old is Elliot now?
Serggg [28]

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

4 0
3 years ago
Find the area of each sector.
nevsk [136]

Answer:

225

Step-by-step explanation:

360 - 135 = 225

7 0
3 years ago
Triangle HIJ has coordinates H(-3,5), (8,2), and J(-3,-5). Find
Vlad1618 [11]

Answer:

H (x= -3 , y=5)

I (x=8 , y=2)

J (x= -3 , y= -5)

D is the distance between the 2 points so just plug in the x and y cords of each of the corresponding points

so for (HI)

you plug in 2 on the red x

and 8 on the red y

then -3 in the blue x

and 5 in the blue y

5 0
2 years ago
Pls help me <br><br> i don't understand it
Savatey [412]

Replace x and y with the given values and solve the equations:

A) 3(5) + 2 = 17

B) 2(5)^2 = 50

C) (5-2)^2 = 9

7 0
3 years ago
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Factored form of 5x^2+x-3
tekilochka [14]

Answer:

You can't factor that any further.

Step-by-step explanation:

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