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Snezhnost [94]
3 years ago
7

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6? –10 –5 –3 –1

Mathematics
2 answers:
givi [52]3 years ago
8 0

Answer: -1

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

----------------------------------------------------------------------------

Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Hope this helps!! :)

Please let me know if you have any question

Sati [7]3 years ago
3 0
  • Answer:

<em>x = - 1</em>

  • Step-by-step explanation:

<em>2(3x – 1) ≥ 4x – 6</em>

<em>6x - 2 ≥ 4x - 6</em>

<em>6x - 4x ≥ 2 - 6</em>

<em>2x ≥ - 4</em>

<em>x ≥ - 2</em>

<em>x ∈ [ - 2 ; + oo )</em>

<em>x = - 1</em>

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520,000

Step-by-step explanation:

1400 x 200 = 280000

(400 + 800) x 400 /2 = 240000

240000 + 280000 = 520000

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2 years ago
Please need help on this
IrinaVladis [17]

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Lena purchased a prepaid phone card for $20. Long distance calls cost 21 cents a minute using this card, Lena used her card only
slega [8]

<u>Answer:</u>

37 minutes

<u>Step-by-step explanation:</u>

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Lena has $7.77 dollars left.

We divide this by .21 to see how many minutes her call was.

7.77 ÷ .21 = 37

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5 0
3 years ago
Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4. 3%. A) $
Oksanka [162]

The maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = \dfrac{P\times R\times T}{100}

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

As it is given the principal amount of the loan is $2500, while the interest rate is 4.3%, therefore, after a period the interest on the loan will be,

SI = \dfrac{P\times R\times T}{100}\\\\SI = \dfrac{2500 \times 4.3 \times 1}{100}\\\\SI =107.5

Thus, the interest amount on the loan of $2500, is $107.5.

Now, in order to find the value of the loan we need to add the interest and the principal amount of the loan together. Therefore, the value of the loan can be written as,

The value of the loan = Principal Amount + Interest rate

                                    = $2500 + $107.5

                                    = $2607.50

Hence, the maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.

Learn more about Simple Interest:

brainly.com/question/2793278

8 0
2 years ago
Find two numbers for which the sum is 101 and the difference is 47
ANEK [815]

Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

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put y=27 into eqn 3

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x = 74

5 0
3 years ago
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