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3 years ago

Solve for x: 3|2x - 2| + 6 = 18.

Mathematics

2 answers:

belka [17]3 years ago

8 0

Answer:

Step-by-step explanation:

3|2x-2| = 18-6

|2x-2| = 12/3

|2x-2|=4

2x-2 =+-4

2x -2 = -4

2x= -4+2

2x=-2

x=-1

2x -2 = 4

2x= 4+2

2x=6

x=3

alukav5142 [94]3 years ago

4 0

Answer:

answer: b) x = 3, x = -1

Step-by-step explanation:

3|2x - 2| + 6 = 18.

divid by 3 :

|2x - 2| + 2 = 6

add -2 : |2x - 2| = 4

2x-2=4 or 2x-2=-4

2x=6 or 2x=-2

x=3 or x=-1

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3 years ago

One and one fourths divided by seven

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Urn 1 contains two white balls and one black ball, while urn 2 contains one whiteball and ve black balls. One ball is drawn at r

matrenka [14]

Answer:

4/5 is the probability of white ball from urn 2

Step-by-step explanation:

Correct statement of the question is ;

Urn 1 contains two white balls and one black ball, while urn 2 contains one white bait and five black balls. One ball is drawn at random from urn 1 and placed in urn 2. A ball is then drawn from urn 2. It happens to be white. What is the probability that the transferred ball was white?

We solve it ;

Probability of taking out balls from urn 1

a) for white ball

$P(w_{1} )=\frac{2}{3}$

b) for balck ball

$P(b_{1} )= \frac{1}{3}$

If one ball is taken from urn 1 and put in urn 2 (which readily contains one white and five black balls)

Probability of taking out balls from urn 2

a) for white ball

$P(w_{2} )=P(\frac{w_{2} }{w_{1} } ).P(w_{1} )+P(\frac{w_{2} }{b_{1} } ).P(b_{1} )$

$=\frac{2}{7} . \frac{2}{3} + \frac{1}{7}. \frac{1}{3} =\frac{5}{21}$

Then the probability that white ball was transferred from urn 1 to urn 2 is;

$P(\frac{white ball transfer }{w_{2} } )= \frac{P(\frac{w_{2} }{w_{1} } ).P(w_{2} )}{P(w_{2}) }$

$=\frac{ \frac{2}{7}.\frac{2}{3} }{\frac{5}{21} }$

$=\frac{4}{5}$

So, the probability that white ball is drawn from urn 2 is 4/5

4 0

3 years ago

*ANSWER ASAP* Earth has a diameter of approximately 7926 miles. Determine the volume of Earth.

frutty [35]

Answer:

Rounding to the nearest whole number, 49 moons can fit in the earth.

Rounding to the tenth place, 50 moons can fit in the earth.

Step-by-step explanation:

To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.

V = 4/3 π r^3

Earth:

d = 2r

d = 7926 miles

7926 = 2r

3963 miles = r

V = 4/3 π (3963)^3

V = 4/3 π (62240377347)

V = 82987169796π cubic miles

Moon:

d = 2r

d = 2159 miles

2159 = 2r

1079.5 miles = r

V = 4/3 π (1079.5)^3

V = 4/3 π (1257963209.88)

V = 1677284279.83π cubic miles

Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth

82987169796π ÷ 1677284279.83π =

approx 49

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