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3 years ago

3. Use the Distributive Property to solve the equation 2(x – 3) + 3 = 6x – 5.

Mathematics

2 answers:

ohaa [14]3 years ago

8 0

2*x-2*3+3=6x-5

2x+6+3=6x-5

2x+9=6x-5

-4x=-14

x=3.5

wel3 years ago

6 0

2(x-3)+3=6x-5
2x-6+3=6x-5
2x-3=6x-5
+3 +3
2x=6x-2
-6x -6x
-4x=-2
———
-4x -4x

x=1/2

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Which is greater, |-6.3| or |-19\20|

MrMuchimi

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3 years ago

An educational psychologist wishes to know the mean number of words a third grader can read per minute.

Rama09 [41]

Answer: 208.

Step-by-step explanation:

The formula to find the minimum sample size is given by :-

$n= (\dfrac{z^*\times \sigma}{E})^2$ (1)

, where z* = critical z-value (two tailed).

$\sigma$ = Standard deviation ( from prior study ) and E = Margin of error.

As per given , we have

Margin of error : E= 0.29

Confidence level = 85%

Significance level = $\alpha=1-0.85=0.15$

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As per previous study , Variance = $\sigma^2=8.41$

$\sigma=\sqrt{8.41}=2.9$

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Hence, the minimum number of third graders that must be included in a sample = 208.

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3 years ago

For the quadratic equation 3x^2−7x+4=0, enter the correct values of a, b, and c.

Alex73 [517]

Answer:

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6 0

3 years ago

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swat32

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3 years ago

Find a. Round to the nearest tenth.

Kazeer [188]

9514 1404 393

Answer:

21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

We need to know the angle A. Its value is ...

A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

a ≈ 21.8 cm

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I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

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3 years ago