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Gelneren [198K]
3 years ago
5

6 = 2(y + 2) Solve for Y.

Mathematics
2 answers:
Bas_tet [7]3 years ago
6 0

Answer:

y = 1

Step-by-step explanation:

6 = 2 (y + 2)

Distribuite:

2 * y = 2y

2 * 2 = 4

2y + 4 = 6

Use additive inverses. The additive inverse of addition is subtraction.

Subtract 4 from both sides:

2y + 4 - 4 = 6 - 4

6 - 4 = 2

2y ÷ 2 = 2 ÷ 2

2y ÷ 2 = y

2 ÷ 2 = 1

To check our answer we multiply how much y is (which is 1) by 2.

2(1) + 4 = 6

2 * 1 = 2

2 + 4 = 6.

Leno4ka [110]3 years ago
3 0

Answer:

6=2(y+2)

distributive property

6=2(y)+2(2)

6=2y+4

-4      -4

2=2y

--   --

2   2

divide two in both sides to get y by itself

y=1

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3 years ago
Consider this three-digit sequence: 943. Is the first digit the largest or the second digit the smallest, AND, is the third digi
wolverine [178]
The sequence: 9, 4, 3

The largest number in this sequence is 9.
This is because 9 is of greatest value, being farther from 0 than the numbers 3 and 4.

The smallest number in this sequence is 3.
This is because 3 is of least value, being closer to 0 than the numbers 4 and 9.

Knowing this, we can answer the first question- "Is the first digit the largest or the second digit the smallest?"

9 is the first digit in this sequence, and it is the largest.
4 is the second digit in this sequence, and it is not the smallest. 3 is the smallest value in the sequence, but it is not the second digit.

This means that "the first digit is the largest" is the correct answer to the first question.

Even numbers result in integers, numbers without decimals/fractions, when divided by 2.

3 is an odd number, since it does not result in an integer when divided by 2.
3 is the third number in this sequence.

9 is also an odd number for the same reason.
9 is the first number in this sequence.

Knowing this, we can answer the second question- "Is the third digit even or the first digit odd?"

3 is the third digit in the sequence, and it is odd, not even.

9 is the first digit in the sequence, and it is odd.

This means that "the first digit is odd" is the correct answer to the second question.

Answers:
1) The first digit, 9, is the largest digit in the sequence.
2) The first digit, 9, is odd.

Hope this helps!
7 0
3 years ago
Chase took a taxi from his house to the airport the taxi company charged a pick up fee $1.20 plus $4.75 Per mile . The total far
taurus [48]
I believe that the taxi went 10 miles

3 0
3 years ago
The volume of wine in liters produced by a parcel of vineyard every year is modeled by a Gaussian distribution with an average o
saul85 [17]

Answer:

0.99865

Step-by-step explanation:

The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.

To solve the above question, we would be using the z score formula

The formula for calculating a z-score

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

In the above question,

x is 115 liters

μ is 100

σ is the population standard deviation is unknown. But we were given variance in the question.

Standard deviation = √Variance

Variance = 9

Hence, Standard deviation = √9 = 3

We go ahead to calculate our z score

z = (x-μ)/σ

z = (115 - 100) / 3

z = 15/ 3

z score = 5

Using the z score table of normal distribution to find the Probability of having a z score of 5

P(x = 115) = P(z = 5) =

0.99865

Therefore the probability that this year it will produce 115 liters of wine = 0.99865

6 0
4 years ago
Simplify 9x^8 divided by 12x^5.
Dmitry_Shevchenko [17]
Ok, so rembmer some basica exponential rules and some fraction rules

(ab)/(cd)=(a/c)(b/d)
and
\frac{x^n}{x^m} =x^{n_m}

so
\frac{9x^8}{12x^5}=( \frac{9}{12} )(  \frac{x^8}{x^5} )=( \frac{3}{4} )(  x^{8-5} )= ( \frac{3}{4} )(  x^{3} )=  \frac{3x^3}{4}
6 0
4 years ago
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