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const2013 [10]
4 years ago
15

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞) SORRY THIS IS THE

FULL QUESTION
Mathematics
1 answer:
IRINA_888 [86]4 years ago
5 0

Answer:

[15, ∞).

Step-by-step explanation:

–3(6 – 2x) ≥ 4x + 12

-18 + 6x ≥ 4x + 12

6x - 4x ≥ 12 + 18

2x ≥ 30

x ≥ 15

This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).

Hope this helps!

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What operation can we use to solve for x in the equation, 6x = 18? A. Multiply both sides of the equation by 6. B. Divide both s
GuDViN [60]

B

divide because your divideing for x and you wouldnt multiply it unless its a decimal

7 0
3 years ago
Divide 3,724 ÷ 6. What is the remainder?
ElenaW [278]
The remainder is 4, but if you add the decimal point and add a 0 to 3,724 you will get 620.6
 
7 0
3 years ago
Read 2 more answers
Find the length of X in simplest radical form with a rational denominator
Darya [45]

Answer:

x = \sqrt 6

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Considering angle 30 degrees,

Opposite = \sqrt{2

Adjacent = x

Using the tangent formula:

tan\ 30 = \frac{\sqrt 2}{x}

Make x the subject

x = \frac{\sqrt 2}{tan\ 30}

x = \frac{\sqrt 2}{1/\sqrt 3}

x = \sqrt 2 * \sqrt 3

x = \sqrt 6

6 0
3 years ago
Kevin and Randy MUISE have a jar containing 51 coins all of which are either quarters or nickels the total value of the coins in
frez [133]

Answer:

Inside the jar there's 16 nickels and 35 quarters.

Step-by-step explanation:

Since there are only nickels and quarters in the jar, the sum of the number of nickels and the number of quarters inside it must be equal to the total number of coins in the jar. So

nickels + quarters = 51

We know the total value inside the jar, to obtain this value we must multiply the amount of each kind of coin by it's value and sum it. So we have:

0.05*nickels + 0.25*quarters = 9.55

We now have two equations and two variables, so we can solve them as follows:

nickels + quarters = 51

0.05*nickels + 0.25*quarters = 9.55

From the first equation:

nickels = 51 - quarters

0.05*(51 - quarters) + 0.25*quarters = 9.55

2.55 - 0.05*quarters + 0.25*quarters = 9.55

0.2*quarters = 9.55 - 2.55

quarters = 7/0.2 = 35

nickels = 51 - 35 = 16

Inside the jar there's 16 nickels and 35 quarters.

3 0
4 years ago
Ariana has atoy car collection. She keeps 14 of the toy cars on her wall, which is 35% of her entire collection. What is the tot
Flauer [41]

Answer:

40 cars

Step-by-step explanation:

The total percentage of Ariana's car collection should be = 100%

35% of the collection = 14

1 percent = 14/35

1 percent is therefore 0.4

To get the total number of cars in Ariana's collection, we multiply 100 by 0.4

= 100 x 0.4 = 40

Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.

Another way to solve this is by cross multiplication

35% = 14

100% = ?

When we cross multiply we have:

(100x14)/35

= 1400/35

= 40

Thank you!

7 0
3 years ago
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