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What is the solution of the equation 6x - 4 = 2(3x - 2). Explain your steps.

Vikki [24]

Answer: x= 4/3 but in decimal form =1.333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4-(2*(3*x-2))=0

4 - 2 • (3x - 2) = 0

Pull out like factors :

8 - 6x = -2 • (3x - 4)

Solve : 3x-4 = 0

Add 4 to both sides of the equation :

3x = 4

Divide both sides of the equation by 3:

x = 4/3 = 1.333

7 0

2 years ago

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There are 4 jacks in a standard deck of 52 playing cards. If patricia selects a card at random, what is the probability that it

sammy [17]

Answer:

(C) 1/13

Step-by-step explanation:

Since, In a pack of 52 playing cards, there are 4 jacks in total.

If patricia selects a card at random, then the probability that it will be a jack will be:

Probability it is a jack= $\frac{Total number of jacks}{Total number of cards}$

= $\frac{4}{52}$

= $\frac{1}{13}$

Which is the required probability.

5 0

2 years ago

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A clothing store pays $89.47 for a dress. The store’s percent of markup is 50% and the tax is 7.6%. Find the selling price for t

Marta_Voda [28]

Hi,
SP=Selling Price
CP of dress= $ 89.47
percent of mark up = 50%
SP without tax= 100+ mark up % /100 * CP
SP without tax= 100+50/100 * 89.47
SP without tax= 150/100 * 89.47
SP without tax= 1.5 * 89.47
SP without tax= $ 134.205
tot. SP(SP with tax)= 100 + tax %/100 * SP
SP=100 + 7.6/100 * 134.205
SP= 107.6/100 * 134.205
SP= 1.076 * 134.205
SP= $144.40458
Hope this helps you.

7 0

3 years ago

18 PTS! From the equation below, identify the slope and a point on the line. y−3=−2(x+1)

omeli [17]

ANSWER:

The slope of the given equation is -2 and a point on the given line is (-1, 3)

SOLUTION:

Given, linear equation in two variables is y – 3 = -2(x + 1) ----- eqn (1)

We need to find the slope of the given equation and a point through which the given line passes.

Given equation is in the form of point slope form .i.e $\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)$ --- eqn 2

where,"m" is the slope of the line

$\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)$ is point on that line.

Now, by comparing (1) and (2)

m = -2

$x_{1}=-1$

$y_{1}=3$

so, the slope of the given equation is -2 and a point on the given line is (-1, 3)

7 0

2 years ago

Living with parents: A Pew Research analysis stated that in 2012, 36% of the nation's young adults ages 18-31 the so-called Mill

lys-0071 [83]

Answer:

The percentage of Millennial students at his college who live in their parents' home is the same as the percentage of Millennials nationwide

Step-by-step explanation:

Given that a Pew Research analysis stated that in 2012, 36% of the nation's young adults ages 18-31 the so-called Millennial generation - were living in their parents' home.

After reading the analysis, a statistics student wanted to design a study to determine if the percentage was higher for the Millennial students who attend his college.

Hence proper hypotheses would be claiming p = 36% against p >36%

The percentage of Millennial students at his college who live in their parents' home is the same as the percentage of Millennials nationwide

Because null normally we give equal to against alternate.

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2 years ago

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