what is the greatest factors of 28,42,63​

The mean score is 18.5833 , Mode is 21 and Range is 39 of the given scores.

Mean is the average value of all the given numbers

To calculate the mean we have to add all the values and divide the sum by the numbers of values.

Total of all value = 21+18+3+12+15+21+42+24+31+3+12+21 = 223

No of values = 12

Mean = [tex]\frac{223}{12} =18.58333[/tex]

Mode is the value which comes frequently in data set

In the given data 21 is come three times which is most frequently so Mode is 21.

Range is the difference between the largest number and the smallest number of the given data set.

Largest number of the data set is 42 and smallest number is 3 so the range is 42-3 = 39.

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The statement which best proves that lines k and m are parallel is: C. Angle 1 is congruent to angle 6 because alternate exterior angles are congruent if two parallel lines are cut by a transversal.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.

In this context, we can reasonably infer and logically deduce that the statement which best proves that lines k and m are parallel is angle 1 is congruent to angle 6 because by definition all alternate exterior angles are congruent, if two parallel lines are cut by a transversal.

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The value of function R+Q is 14x+45.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

An output variable and one or more input variables are the minimum number of variables in a function. An equation can have any number of variables and declares that two expressions are equal (none, one, or more).

Disclaimer:

If the value of R = 2x+21, Q= 12 x + 24, P​ =2x-9, then find the value of R+Q ,where R and Q are functions.

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8.67 as a mixed fraction is

8 and 67/100

you could also say 867/100

Answer:

1/6 lime juice

Step-by-step explanation:

1/6 is less than 1/5,3/4,and 2/3

The unit value of 6 in the number 261 is: tens.

A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:

In this scenario, the unit value of each digit in the number 261 are as follows:

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The interest rate of $9000 and $6000 investment are 3.5% and 3% respectively.

let's assume the interest rates X and Y on $9,000 and $6,000 investments.

The $9000 is invested at an interest rate that is 0.5% higher than the $6000.

Therefore,

9000(X) = 6000(Y) + 135

X = Y + 0.005

In canonical form:

9000X - 6000Y = 135

X - Y = 0.005

or X = 0.005 + Y

Then,

9000( 0.005 + Y) - 6000Y = 135

Then Y = 0.3 , therefore X = 0.3

So, X = 3.5% (the rate on $9,000 investment) and;

Y = 3% (the rate on $6,000 investment).

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The equations that model the situation is 1.50t + 2s = $39

The total amount spent is the sum of the total cost of the tacos and the total cost of soda. The total cost of tacos is the product of the cost of one taco and the number of tacos bought. The total cost of sodas is the product of the cost of one soda and the number of sodas bought.

The mathematical operations that would be used is multiplication and addition. Addition is the process of determining the sum of two or more numbers. The sign used to represent addition is +.

Multiplication is the process of determining the product of two or more numbers. The sign used to represent multiplication is x.

Total amount Xochitl spends = total cost of tacos + total cost of sodas

Total amount Xochitl spends = (1.50 x t) + (2 x s)

39 = 1.50t + 2s

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Answer:

he fell 11 meters

Step-by-step explanation:

132 divided by 12 is 11.

The number of students who play the trumpet or saxophone will be 21 students.

From the information, there are 3 groups of

4 trumpet players. In front of the trumpet players are 9 saxophone players.

Therefore, the number of students who play the trumpet or saxophone will be the addition of both values given. This will be:

= (3 × 4) + 9

= 12 + 9

= 21

Consequently, there will be 21 students who play the trumpet or saxophone.

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The general term for the sequences 2, 2/3, 2/9, 2/27, and 2/81 .. is Tₙ = 2/3ⁿ⁻¹.

Given sequence is 2, 2/3, 2/9, 2/27, 2/81 .....

Geometric Progression is also known as a geometric sequence in which each term after the first term is obtained by multiplying the previous one by a constant, non-zero number called the common ratio.

We know that a given sequence is a Geometric progression. So we need to find the common ratio

Here the first term is a = 2

common ratio r = 2/3/2 = 1/3

Now the formula for a geometric sequence for n terms is

Tₙ = a * rⁿ⁻¹

Tₙ = 2 * (1/3)ⁿ⁻¹

Tₙ = 2/3ⁿ⁻¹

Therefore the general term for the sequences 2, 2/3, 2/9, 2/27, and 2/81 .. is Tₙ = 2/3ⁿ⁻¹.

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Answer:

g = -11

Step-by-step explanation:

The question is giving you the answer of (x)

1) Plug in -2, into x so it will look like this:

    g(-2) = 4x^3 -x^2 +2x -2

2) Plug the -2 into the x, it will look like this:

    g(-2) = -4(-2)^3 - (-2)^2 +2(-2) -2

3) Solve!

    g(-2) = 8^3 - 4 - 4 -2

    g(-2) = 32 - 4 - 4 - 2

    g(-2) = 32

    -2g/-2 = 22/-2

    g = -11

I hope this helped! If you need more help with understanding, let me know! :)

Answer:

General linear equation;

[tex]{ \tt{y = mx + c}} \\ [/tex]

[tex]{ \boxed{ \tt{y = 3x + 2}}}[/tex]

Answer:

6.7 ≈ 7

Step-by-step explanation:

Rounding rule x is supposed to be the decimal for this example

I hope that example helps you understand. If you have any concerns, ask me, but otherwise, have a great day!

Answer:

0,5 Kg

Step-by-step explanation:

Answer:4

Step-by-step explanation:

im pretty sure its right

Answer:

2:1:1

Step-by-step explanation:

A:B:C

10:1:5

÷5. ÷5

=2:1:1

Answer:

Look the answer is simple...just multiply one by one

Step-by-step explanation:

For example;

2*3*5*7

2x3=6

6x5=30

30x7=210

Answer:

4x-3y=-18.

Step-by-step explanation:

1) common form of slope-interception form: y=slope*x+interception;

2) if according to the condition slope=4/3, thenthe slope-interception form is y=4/3*x+interception;

3) it is possible to calculate the interception if to substitute given coordinates (-9;-6) into the slope-interception form:

-6=4/3*(-9)+interception; ⇒ interception=6, then

4) the slope-interception form is y=4/3*x+6;

5) finally, 3y=4x+18, ⇔ 4x-3y= -18 (A=4, B=-3, C=-18).

Answer:

4

Step-by-step explanation:

Answer:

29/10 or 2 9/10

4 4/5 - 1 9/10

make them into improper fractions

4 4/5 = 24/5

1 9/10 = 19/10

24/5 - 19/10 we need to get common denominators

24/5 × 2 = 48/10

48/10-19/10 = 29/10 = 2 9/10

[tex]\displaystyle\\Answer: y=-\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\4y+2=-\frac{1}{3}\\\\[/tex]

Multiply both parts of the equation by 3:

[tex]\displaystyle\\(3)(4y+2)=(-\frac{1}{3} )(3)\\12y+6=-1\\12y+6-6=-1-6\\12y=-7[/tex]

Divide both parts of the equation by 12:

[tex]\displaystyle\\y=-\frac{7}{12}[/tex]

Answer:

D

Step-by-step explanation:

[tex]\frac{9x10^{7} }{2x10^{5} }[/tex]  = 9/2 is 4.5 The quotient property principle tells us that when the bases are the same and we are dividing powers, we subtract the exponents. 7-5 = 2

4.5 x [tex]10^{2}[/tex]  In standard notation, this is 450

Answer:

The value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4

Step-by-step explanation:

It is given that we need to find the x value for the point that divides the line segment AB into a ratio of 2:3 from the option given in the question.

Now, let us find the difference between the values of x of point A and of point B;

=> 5 - (-4)

=> 5 + 4

=> 9

Now, let us divide 9 by 5 so that we get the ratio 2:3;

=> 9/5

=> 1.8

Further, for getting the segments as 2 + 3;

=> 1.8 × 2

=> 3.6

and

=> -4 + 3.6

=> -0.4

Therefore, the value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4

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The area of the yard is 32.56 acres.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given,

the length of the field = 364 yards

width of the field = 433 yard

area of the field = length × breadth

area = 157612 sq. yards

1 sq. yard = 0.000207 acres

area in acres = 32.56 acres

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An equation for the line for walnut street is: y = 2x + 1.

The slope intercept form for line is given by;

y = mx + c

where

m = slope

c = y-intercept

As, the two streets chestnut street and walnut street are parallel in a map, their slopes are also equal.

The equation of chestnut is y = 2x-6; comparing with general form;

m = 2.

The coordinates of walnut street is (1, 3) = (x₁, y₁)

Thus, equation is;

(y - y₁) = m(x - x₁)

Put the values.

(y - 3) = 2( x - 1)

simplify,

y - 3 = 2x - 1

y = 2x + 1

Thus, the equation for the walnut street is found as; y = 2x + 1.

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The digits of 7,444,000 can be only be arranged in 140 ways

Combinations are used to determine the number of selections of an item within another

The arrangements of the digits is an illustration of factorials

The number is given as: 7,444,000

From the given number, we have the following parameters:

Total (n) = 7 i.e. number of digits

n(4) = 3 i.e. number of digit-4

n(0) = 3 i.e. number of digit-0

So, the number (N) of arrangements is:

N = n!/(n(4)! * n(0)!)

Substitute known values in the above equation

So, we have

N = 7!/(3! * 3!)

Evaluate the factorials in the above equation

So, we have

N = 5040/(6 * 6)

Evaluate the quotients in the above equation

N = 140

Hence, the digits of 7,444,000 can be arranged in 140 ways

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Answer:

Yes.

Step-by-step explanation:

4.635 is larger that 4.6135.