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Aleksandr [31]
3 years ago
10

5 (x minus 6) = 2 (x + 3)?

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

12

Step-by-step explanation:

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

multiply

5*x and 5*6. 2*x and 2*3

5x-30=2x+6

minus 5x and 2x

3x-30=6

add 30 to 6

3x=36

divide both sides by 3 and the 3x cancels so 36÷3

x=12

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There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
forsale [732]

Answer:

The required probability is 4/7.

Step-by-step explanation:

The sample space for the experiment is: { BB, BR, RB, RR }

The outcome of the event we require is: { BR, RB }

The probabilities for each outcome is given as:

BB: 3/7 x 2/6 = 1/7

BR: 3/7 x 4/6 = 2/7

RB: 4/7 x 3/6 = 2/7

RR: 4/7 x 3/6 = 2/7

Adding the probabilities we have:

{ BR, RB} = 2/7 + 2/7 = 4/7

That's it!

3 0
3 years ago
Is 81/4 considered a rational number
maks197457 [2]

Answer:

No

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction p/q where p and q are integers and q!=0. A rational number p/q is said to have numerator p and denominator q. Numbers that are not rational are called irrational numbers. The real line consists of the union of the rational and irrational numbers. The set of rational numbers is of measure zero on the real line, so it is "small" compared to the irrationals and the continuum.

The set of all rational numbers is referred to as the "rationals," and forms a field that is denoted Q. Here, the symbol  Q derives from the German word Quotient, which can be translated as "ratio," and first appeared in Bourbaki's Algèbre (reprinted as Bourbaki 1998, p. 671).

Any rational number is trivially also an algebraic number.

Examples of rational numbers include -7, 0, 1, 1/2, 22/7, 12345/67, and so on. Farey sequences provide a way of systematically enumerating all rational numbers.

The set of rational numbers is denoted Rationals in the Wolfram Language, and a number  x can be tested to see if it is rational using the command Element[x, Rationals].

The elementary algebraic operations for combining rational numbers are exactly the same as for combining fractions.

It is always possible to find another rational number between any two members of the set of rationals. Therefore, rather counterintuitively, the rational numbers are a continuous set, but at the same time countable.

8 0
3 years ago
An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the
MrRa [10]

your question is incomplete, here you can find the complete question below:

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.

a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?

b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?

c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?

Answer:

a. 1.45

b. 2.56

c. 3.59

Step-by-step explanation:

As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.

slope=\frac{chnage\ in\ y}{chnage\ in\ x}=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

It is given that initial point is (x1,y1)=(0,0)

Part(a)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(3.38,2.32)

so the slope of the terminal ray is

slope=\frac{3.38-0}{2.32-0}=\frac{3.38}{2.32}=  1.45

Part(b)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.49,3.82)

so the slope of the terminal ray is

slope=\frac{3.82-0}{1.49-0}=\frac{3.82}{1.49}=2.56

Part(c)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.1,3.95)

so the slope of the terminal ray is

slpoe=\frac{3.95-0}{1.1-0}=\frac{3.95}{1.1}=  3.59

6 0
3 years ago
A party rental company chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $105. The total cost to read
Luden [163]

Answer:

Step-by-step explanation:

2c+12t=105, and 5c+3t=33, subtracting 4 times the second from the first gives you

2c+12t-20c-12t=105-132

-18c=-27 dividing each side by -18

c=1.5, making 2c+12t=105 become

2(1.5)+12t=105

12t=102

t=8.5

So each chair costs $1.50 and each table costs $8.50

7 0
2 years ago
A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randoml
Andrews [41]

Answer: \dfrac{21}{410}.

Step-by-step explanation:

Formula : Probability = \dfrac{\text{favorable outcomes}}{\text{Total outcomes}}

From the given frequency distribution for the class level of students in an introductory statistics course, we have

Number of Junior= 12

Number of Senior = 7

Total students = 6+16+12+7 = 41

Probability that the first student obtained is a junior = \dfrac{12}{41}

Probability that the the second student obtained is a senior. =\dfrac{7}{41-1}=\dfrac{7}{40}

Then, the probability that the first student obtained is a junior and the second a senior would be \dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}

Hence, the required probability is \dfrac{21}{410}.

8 0
3 years ago
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