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2 years ago

2 - 4x = 14 A) -4 B) -3 C) 0 D) 3

Mathematics

2 answers:

mel-nik [20]2 years ago

4 0

Answer:

b: -3

Step-by-step explanation:

2-4x=14

subtract 2

-4x=12

divide -4

x=-3

makvit [3.9K]2 years ago

4 0

Answer:

B. x=-3

Step-by-step explanation:

We need to solve for x. To do this, we need to get x by itself. To get x by itself, preform the opposite of what is being done to the equation

2-4x=14

Subtract 2 from both sides, since 2 is being added.

2-2 -4x=14-2

-4x=12

Divide both sides by -4 since -4 is being multiplied

-4x/-4=12/-4

x= -3

So, choice B is correct

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A drawer contains 3 white shirts, 2 blue shirts, and 5 gray shirts. A shirt is randomly

shutvik [7]

Answer:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = $\frac{1}{4}$

Step-by-step explanation:

Given that

3 white, 2 blue and 5 gray shirts are there.

To find:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = ?

Solution:

Here, total number of shirts = 3+2+5 = 10

First of all, let us learn about the formula of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(First\ White) = \dfrac{\text{Number of white shirts}}{\text {Total number of shirts left}}$

$P(First\ White) = \dfrac{3}{10}$

Now, this shirt is set aside.

So, total number of shirts left are 9 now.

$P(First\ White\ and\ second\ gray) = P(First White) \times P(Second\ Gray)\\\Rightarrow P(First\ White\ and\ second\ gray) = P(First White) \times \dfrac{\text{Number of gray shirts}}{\text{Total number of shirts left}}\\\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{3}{10} \times \dfrac{5}{9}\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow P(First\ White\ and\ second\ gray) = \bold{\dfrac{1}{4} }$