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3 years ago

Solve the inequality 3x-1>-6x

Mathematics

1 answer:

Ghella [55]3 years ago

3 0

Answer:

x > 1/9

Step-by-step explanation:

Given that:

3x-1>-6x

Adding 6x + 1 on both sides we get

3x-1 + 6x + 1>-6x + 6x +1

3x + 6x > 1

Adding both variables

9x > 1

Dividing both sides b 9 we get

9x/9 > 1/9

x > 1/9

I hope it will help you!

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A large emerald with a mass of 378.24 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over

stepan [7]

Answer:

137.04 cm³

Step-by-step explanation:

Mass = Density*Volume
V = m/d
V = 378.24/2.76 = 137.04 cm³ (rounded)

5 0

3 years ago

Read 2 more answers

If a coin is tossed three times, find probability of getting

Assoli18 [71]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

‣ A coin is tossed three times.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

‣ The probability of getting,

1) Exactly 3 tails

2) At most 2 heads

3) At least 2 tails

4) Exactly 2 heads

5) Exactly 3 heads

${\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}$

$\star \: \tt P(E)= {\underline{\boxed{\sf{\red{ \dfrac{ Favourable \: outcomes }{Total \: outcomes} }}}}}$

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

★ When three coins are tossed,

then the sample space = {HHH, HHT, THH, TTH, HTH, HTT, THT, TTT}

[here H denotes head and T denotes tail]

⇒Total number of outcomes $\tt [ \: n(s) \: ]$ = 8

1) Exactly 3 tails 

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 3 \: tails)} = \red{ \dfrac{1}{8}}$

2) At most 2 heads

[It means there can be two or one or no heads]

Here

• Favourable outcomes = {HHT, THH, HTH, TTH, HTT, THT, TTT} = 7

• Total outcomes = 8

$\therefore \sf Probability_{(at \: most \: 2 \: heads)} = \green{ \dfrac{7}{8}}$

3) At least 2 tails 

[It means there can be two or more tails]

Here

• Favourable outcomes = {TTH, TTT, HTT, THT} = 4

• Total outcomes = 8

$\longrightarrow \sf Probability_{(at \: least \: 2 \: tails)} = \dfrac{4}{8}$

$\therefore \sf Probability_{(at \: least \: 2 \: tails)} = \orange{\dfrac{1}{2}}$

4) Exactly 2 heads 

Here

• Favourable outcomes = {HTH, THH, HHT } = 3

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 2 \: heads)} = \pink{ \dfrac{3}{8}}$

5) Exactly 3 heads

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 3 \: heads)} = \purple{ \dfrac{1}{8}}$

$\rule{280pt}{2pt}$

8 0

2 years ago

2a+2b-2ab+y=6 I REALLY NEED HELP

Orlov [11]

This is how to solve this

6 0

3 years ago

Jane has a circular garden with a diameter of 16 feet if one bag of fertilizer covers 30 ft.² how many bags will she need to cov

AleksAgata [21]

Answer:

She need 7 bags to cover the garden

Step-by-step explanation:

Diameter of circular garden = 16 feet

Radius of circular garden = $\frac{16}{2} = 8 feet$

Area of circular garden = $\pi r^2 = \frac{22}{7} \times 8^2 =200.96ft^2$

30 sq.feet covered by no. of bags = 1

200.96 sq.feet covered by no. of bags = $\frac{200.96}{30}=6.69$

Hence She need 7 bags to cover the garden

5 0

4 years ago

Steve went to Macy's to buy clothing, Steve got to the checkout, and he had

noname [10]

Answer:

$67.41

Step-by-step explanation:

We want to find out how much 30% off of $96.30 is. To do that, we need to first multiply $96.30 to find out how much 30% would be. Don't forget to change 30% into its decimal form (30% - > .3).

96.30 x .3 = 28.89

This means that Steve got $28.89 dollars removed from his final bill. To find the actual final bill, subtract 28.89 from 96.30.

96.30 - 28.89 = $67.41

7 0

3 years ago

Solve the inequality 3x-1>-6x​

Solve the inequality 3x-1>-6x