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skelet666 [1.2K]
3 years ago
7

An equation is shown below: 6(2x-11)+15=21

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0

Hello!

To solve, we want to isolate the x on one side of the equation. We can use inverse operations to put numbers on the other side to find x.

First we undistribute our parentheses.

12x-66+15=21

We subtract 15 from both sides (it cancels out the 15 on the left side, making it 0).

12x-66=6

Now we add 66 to both sides, as -66+66=0

12x=72

Finally, we divide both sides by 12.

x=6

I hope this helps!

balandron [24]3 years ago
3 0

To solve any algebraic equation, we need to get x by itself. The first step to doing that is doing the multiplication (since we can't simplify the parenthesis any further, and because there are no exponents).

Simplifying the parenthesis gives us:

12x - 66 + 15 = 21

Now we want to get all terms with x on one side and all the numbers on the other.

12x = 21 + 66 - 15

12x = 72

Now we want to get x by itself (meaning that we want to get a <em>single</em> x). We can do that by dividing both sides by the number in front of x.

12/12x = 72/12

x = 6

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32 + 5 × 2 − 8

32+10-8

42-8= 34

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3 years ago
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Suppose that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students, f
astraxan [27]

Answer

a)   y    |      p(y)

    25   |      0.8

   100   |     0.15

   300   |      0.05

E(y) = ∑ y . p(y)

E(y) = 25 × 0.8 + 100 × 0.15 + 300 × 0.05

E(y) = 50

average class size equal to E(y) = 50

b)  y    |      p(y)

    25   |     \dfrac{16\times 25}{1000}=0.4

   100   |     \dfrac{3\times 100}{1000}=0.3

   300   |      \dfrac{1\times 300}{1000}=0.3

E(y) = ∑ y . p(y)

E(y) = 25 × 0.4 + 100 × 0.3 + 300 × 0.3

E(y) = 130

average class size equal to E(y) = 130

c) Average Student in the class in a school = 50

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5 0
3 years ago
Factor 3h2 – 11h - 42
Zina [86]
The answer is D
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replace -11h with 7h-18h
3h^2 + 7h - 18h - 42
Factor the first two terms and last two terms
h(3h+7) - 6(3h+7)
See how the two parentheses are the same?
THE ANSWER IS BELOW!!
(h-6)(3h+7)
the first parentheses has the terms that were outside, and the second has the original bracketed terms
This matches option D (it just multiplies the terms backwards, which gives the same result)
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3 years ago
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Answer:

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Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

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Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

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