Ask question

Ask question

All categories

3 years ago

14

Solve. −4/3x + 1/6 < 7/9 PLEASE ANSWER IN THE NEXT HOUR!AND CHECK YOUR WORK AS WELL!

2 answers:

Anna35 [415]3 years ago

5 0

-4/3x + 1/6 < 7/9

-4/3x < 7/9 - 1/6 7/9 - 1/6 = 42/54 - 9/54 = 33/54 = 11/18

-4/3x < 11/18

-x < 11/18 ÷ 4/3 11/18 ÷ 4/3 = 11/24

-x < 11/24

x > -11/24

Alisiya [41]3 years ago

5 0

(-4/3) x + (1/6) < (7/9)
subtract (1/6) from both sides
(-4/3) x < (7/9) - (1/6)
(-4/3) x < (14/18) - (3/18)
(-4/3) x < (11/18)
Multiply both sides by (-3/4) (the reciprocal of (-4/3)
(-3/4)(-4/3) x > (11/18)(-3/4) Dividing by - you have to switch the inequality sign to the other direction.
x > (-33/72); x > -11/24

You might be interested in

In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population ha

irina1246 [14]

Answer:

8,100

Step-by-step explanation:

7,200 - 6,400 = 800 increased in 50. Years

What percentage is 800 of 6,400 (%/100 = is/of)

x/100 = 800/6400 (cross multiply)

(800*100)/6400 = 12.50%

(12.50 * 7200)/100 = 900 increased

7,200 + 900 = 8,100

7 0

3 years ago

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s

aivan3 [116]

Answer: The answer is 314.28 cm² (approx.).

Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

$\textup{d}=20~\textup{cm}.$

So, the radius of the circular cross-section will be

$\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.$

Therefore, cross-sectional area of the pipe is

$\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.$

Thus, the answer is 314.28 cm² (approx.).

4 0

4 years ago

Plz help me with this

madreJ [45]

In order a0->a5: 1/3, 1, 3, 9, 27, 81

All you're doing is plugging the x-value in. So for a2, x=1, so y=3¹ which means y=3.

6 0

3 years ago

Read 2 more answers

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home

netineya [11]

The answer is D 40miles

4 0

3 years ago

I NEED MAJOR HELP ON THESE QUESTIONS!!!

Oliga [24]

On the bottom left, the answer is subtraction property of equality because you need to subtract 4x to the 7x to simplify the equation.

4 0

3 years ago