1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snezhnost [94]
3 years ago
12

​3x-2≤5(x+2) . show all steps please.

Mathematics
2 answers:
Alla [95]3 years ago
5 0

Answer:

Step-by-step explanation:

You have to first use the distributive property of 5(x+2)

That would be 5x+10.

So it would be all together

3x-2\leq 5x+2

to see if it is true

x=2

6-2

6-2\leq 10+2\\4\leq 12

it is true

Natasha_Volkova [10]3 years ago
3 0

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

You might be interested in
Someone help ! It’s talking about Integers !!
nataly862011 [7]

Step-by-step explanation:

  1. The numbers to the <u>right</u> of 0 are <u>positive</u>. The numbers to the <u>left</u> of 0 are <u>negative</u><u>.</u> 0 is neither positive nor negative.
6 0
3 years ago
Read 2 more answers
What is the factorization of the polynomial below?
katrin [286]

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

5 0
3 years ago
Read 2 more answers
What expression represents the volume of the cylinder, in cubic units?
Marat540 [252]

Answer:

It's A

Step-by-step explanation:

I hope that it's a correct answer.

7 0
3 years ago
All Major League Baseball stadiums use standard measurements for their infield area. The pitcher's mound is a circle with a diam
denis-greek [22]

Answer:

254 4/7 or 254.34 ft² (it depends on which method you use.)

Step-by-step explanation:

To find the area of a circle, the formula is πr².

I'll use both 22/7 and 3.14 as pi, so I'll end up with two different answers. Just choose the more reliable one.

22/7 version:

22/7 * 9^2

22/7 * 81/1

1782/7

254 4/7 ft²

3.14 version:

3.14 * 9^2

3.14 * 81

314 - (3.14 * 19)

314 - 62.8 + 3.14

251.2 + 3.14

254.34 ft²

As I said, I ended up with two different answers. You also had said not to round my answer, so the 22/7 version has a mixed number.

5 0
3 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0
3 years ago
Other questions:
  • ____________ parking is fairly easy.
    6·2 answers
  • Rewrite the expression from part B by distributing -1 from each of the negative numbers.
    5·1 answer
  • What is the solution to the equation
    13·2 answers
  • Ok i have to identify the slope and the y intercept
    15·2 answers
  • In the state legislature, there were 119 more members in the House of Representatives than in the senate. If there were m member
    12·1 answer
  • Please help me, I need answers in 2 days. Please give answers in one picture otherwise i cannot view it without paying. Would be
    6·1 answer
  • A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?
    6·2 answers
  • PLEASE I NEED HELP CLICK ON THIS IMAGE
    8·2 answers
  • What is the value of x
    5·1 answer
  • One tennis ball can holds 3 balls. Jenna filled 5 cans and had 1 ball left over.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!