6.4 rounded to the nearest whole number

The 2/3 meter long metal rod can be divided into 8 pieces each of length 1/12 meters by dividing the total length of rod with the length of each piece.

The subject of this question is mathematics, and it involves division. When we are given a total length and the length of each piece, we can find the number of pieces by dividing the total length by the length of each piece.

Here, the total length of the metal rod is 2/3 meters. Each piece that we want to cut is 1/12 meters long.

To find the number of pieces, we simply perform the division: (2/3)÷(1/12). When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So this becomes (2/3)*(12/1) = 24/3 = 8 pieces.

So the metal rod can be cut into 8 pieces each 1/12 meter long.

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Answer:

0.85

Step-by-step explanation:

17/20=0.85

The total of students in 11th and 12th grade is 30% + 10% = 40% of the students at the school.

The total of students in the 9th and 10th grade is 20% + 40% = 60% of the students at the school.

The difference between the groups is 60% - 40% = 20% of the students at the school. That difference is 100 students, so 20% of the student body is 100 students. Multiplying by 5 tells us 100% of the student body is 500 students.

The required regroup of the sum of 64+43 into 60+4 and 43 into 40+3.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches.

The sum of two numbers is given in the question as:

64 + 43

As per the given condition, the required solution would be as:

To regroup, just separate the larger numbers into smaller amounts that can be put together more easily. We frequently reorganize numbers into those that terminate in 0 because they are easier to add. For example, 64 may be divided into 60+4 and 43 into 40+3. This makes adding easy since you can first add 60 and 40, which equals 100. The smaller numerals 100+4+3=107 can then be added.

Thus, the required regroup of the sum of 64+43 into 60+4 and 43 into 40+3.

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The answer is 93000000

Allow 10 to the power of 7 is 10000000

10000000 times 9.3 = 93000000

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

The statement indicates that in a survey 1,100 people of 2,000 surveyed said that they would buy the car they have again and from this, you can inferred that they are satisfied with the car. So, to calculate the percentage of people surveyed that were satisfied with the car you have to divide 1,100 by 2,000 that is the total number of people surveyed and then, multiply the result by 100:

1,100/2,000=0.55*100= 55%

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch   : 176 males, 264 females

Total number of peoples is

[tex]46+254+176+264=740[/tex]

Total number of males is

[tex]46+176=222[/tex]

The probability of male is

[tex]P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3[/tex]

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

[tex]176+264=440[/tex]

The probability of persons who buys lunch is

[tex]P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}[/tex]

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

[tex]P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}[/tex]

P(male | buys lunch)[tex]=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}[/tex]

P(male | buys lunch)[tex]=\frac{\frac{176}{740}}{\frac{22}{37}}[/tex]

P(male | buys lunch)[tex]=\frac{2}{5}=0.4[/tex]

Therefore the correct option is 4.

Answer: it’s D

Step-by-step explanation:

Now lemme get on tik tok dang

Answer:

2

Step-by-step explanation:

on algebra nation, it would be B

Answer:

taken

Step-by-step explanation:

The mixed number 5 1/6 can be converted into a rational number. This is done by multiplying the whole number by the denominator, adding the numerator, and then placing this value over the denominator. Thus, 5 1/6 as a rational number is 31/6.

The number 5 1/6 is a mixed number. You can convert it to a rational number, which is a number that can be expressed as a quotient or division of two integers. A rational number is represented by 'p/q' where p and q are integers and q is not equal to 0.

To convert 5 1/6 into a rational number, you would first multiply the whole number (5) by the denominator of the fraction (6), then add the numerator of the fraction (1). This gives you the new numerator. The denominator remains 6. The calculation would look like this: (5×6 + 1)/6 = 31/6.

So, 5 1/6 as a rational number is 31/6.

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The graph of the function y = 5x + 4 with domain x ≤ 0 is shown below.

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

The given function is,

y = 5x + 4

And the domain of the function is x ≤ 0.

To draw the graph of the line y = 5x + 4

The slope of the line m = 5.

And y intercept at x = 0

y = 5(0) + 4

y = 4

Also, the domain is x ≤ 0.

So the graph can be represented as given below.

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Answer:

1 output for 1 input

Step-by-step explanation:

A relation is a function if there is exactly one output for each input.

Hence, Option 3 is true.

We know that;

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

A relation is a function.

Hence, We get;

A relation is a function if there is exactly one output for each input.

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Answer:

m=-2

b=2  

Equation in Slope-Intercept Form: y= -2x+2

Step-by-step explanation:

The slope-intercept form, y = mx + b of the given line will be y = -2x + 2.

A line section that can connect two places is referred to as a segment.

The slope of a line is tan of the angle from the positive x-axis.

In other words, the slope is just the intensity of inclination of any curve at a point for example x = sinx has 0 inclination at x = 0.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that the points are  (–3, 8) and (4, –6).

Slope m = difference in y coordinate/difference in x coordinate

m = (-6 - 8)/(4 +3 ) = -2

So our equation will be

y = -2x + n

Now for b put  (4, –6) than

n = 2 so

The equation will be y = -2x +2 hence it will be the correct answer.

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