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3 years ago

Solve for w - 2w - 7 = 9

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

Answer:

-2w−7=9

1 Add 7 to both sides.

-2w=9+7

2 Simplify 9+7 to 16

-2w=16

3 Divide both sides by -2

w= -16/2

w= - 8

liberstina [14]3 years ago

3 0

Step-by-step explanation:

-2w=9+7

-2w=16

w=16/-2

w=-8

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What is the distributive property of 15+45

Taya2010 [7]

The distributive property is 15+45 = (10 + 40) + (5+5) = 50 + 10 = 60 Hope this helps you.

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3 years ago

How many solutions does these equations have? One, infinite or no solutions?

s2008m [1.1K]

Answer:

1. 7(y + 3) = 5y+8: one solution

2. 10 + 6x= 2(5+3x): infinite solutions

3. 3x + 5 - x=2x + 7: no solutions

4. 4x - 4 = 2x + 8: one solution.

Explanation:

1. 7(y+3)=5y+8

a) Distributive property of multiplication over addtion:

7y + 21 = 5y + 8

b) Subtraction property of equalities:

7y - 5y = 8 - 21

c) Combine like terms:

2y = - 13

d) Division property of division:

y = - 13/2

e) Conclusion: the equation has one solution.

2. 10 + 6x = 2(5+3x)

a) Distributive property of multiplication over addition:

10 + 6x = 10 + 6x

b) Subtraction property of equality:

6x - 6x = 10 - 10

c) Simplify (combine like terms)

0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

3. 3x + 5 - x = 2x + 7

a) Combine like terms:

2x + 5 = 2x + 7

b) Subtraction property of equalities:

2x - 2x = 7 - 5

c) Combine like terms (simplify)

0 = 2

That is always false, no matter the values of x.

d) Conclusion: the equation does not have any solutions.

4. 4x - 4 = 2x + 8

a) Subtraction property of equality

4x - 2x - 4 = 2x - 2x + 8

b) Combine like terms

2x - 4 = 8

c) Addtiion property of equalities:

2x = 8 + 4

d) Combine like terms (simplify)

2x = 12

e) Division property of equalities:

x = 6

f) Conclusion: the equation has one solution

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3 years ago

Iq scores are normally distributed with a mean of 100 and a standard deviation of 15 if one person is randomly selected what is

beks73 [17]

probability that the persons IQ falls between 110 and 130 is 0.2286 .

Step-by-step explanation:

Step 1: Sketch the curve.

The probability that 110<X<130 is equal to the blue area under the curve.

Step 2:

Since μ=100 and σ=15 we have:

P ( 110 < X < 130 )=P ( 110−100 < X−μ < 130−100 )

⇒ P ( (110−100)/15< (X−μ)/σ<(130−100)/15)

Since Z = (x−μ)/σ , (110−100)/15 = 0.67 and (130−100)/15 = 2 we have:

P ( 110<X<130 ) = P ( 0.67<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( 0.67<Z<2 )=0.2286

Therefore, probability that the persons IQ falls between 110 and 130 is 0.2286 .

4 0

3 years ago

Can someone please help me with this question? I REALLY need help.

mafiozo [28]

Answer:

-45

Step-by-step explanation:

The question is asking for the sum of the sequence. Therefore, there is no such thing as a "radians" answer.

When you evaluate the sum, you should get -45 as your answer. To find so, you simply plug in 1 as n and other numbers then add the result.

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3 years ago

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