is this number rational or irrational

Answer: -8b -  24

Step-by-step explanation:

For distributive property, you multiply the number outside of the parenthesis (8) by the numbers/variables inside the parenthesis (b and 3)

-8 × b = -8b

-8 × 3 = -24

Answer:

add then simplify

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of the cube = 2*4*6 = 48 cm^3.

Its density is 24 g / cm^3

The density of water is 1g /cm^3 so it will sink in water.

Answer:

A and C

Step-by-step explanation:

Factors are numbers that can multiplied with another number to create a product. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.

Answer:

56°

Step-by-step explanation:

The angles are supplementary. They add up to 180°

So ∠AYZ + ∠AYX = 180

6x+4 + 3x - 4 = 180

9x = 180

x = 20

Measure of ∠AYX = 3x - 4 = 3 x 20 - 4 = 60 -4 = 56°

-2 is the extraneous solution of the equation.

The equation is:

[tex](x + 3)^{1/2}[/tex] - 1 = x

To find the extraneous solution of the expression first we need to find the value of x.

[tex](x + 3)^{1/2}[/tex] = x + 1

Squaring both sides we have,

[tex](x+ 3)^{}[/tex] = [tex](x + 1)^{2}[/tex]

x + 3 = [tex]x^{2}[/tex] + 2x + 1

[tex]x^{2}[/tex] + x - 2 = 0

[tex]x^{2}[/tex] + 2x - x - 2 = 0

x ( x + 2 ) - 1 (x + 2) = 0

(x+2) (x-1)=0

x = -2, 1

Now we have to put the value of x in the equation:

x = -2

[tex](-2 +3)^{1/2}[/tex] - 1 = -2

1-1 =-2

0≠ -2

x = 1

[tex](1 + 3)^{1/2}[/tex] - 1= 1

2 - 1 = 1

1= 1

Therefore we get x = -2 is as extraneous solution of the equation and x= 1 is the solution of the equation.

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Answer:

A

Step-by-step explanation:

70-271=20

Answer: it's 7/10

Step-by-step explanation:

the 49 simplifies to 7, and the 100 simplifies to 10

Answer:

x=m/2+k , k≠-2

Step-by-step explanation:

2x+kx=m

Factor out x from the expression:

(2+k)x=m

Assume 2+k≠0 and divide both sides of the equation by 2+k:

x=m/2k , 2+k≠0

Rewrite the restriction:

x=m/2+k≠-2

Solution:

x=m/2+k , k≠-2

The value of x in the given expression is x = m / (k+2)

An expression is a mathematical statement containing variables, numerical, and they are related by at least one mathematical operation.

Given an expression, 2x + kx = m

We are asked to rearrange the values and find the value of x.

Therefore,

2x + kx = m

Since, two terms have same variable, therefore, taking x common from both,

x(2+k) = m

x(k+2) = m

Now, transpose (k+2) to right side, we get,

x = m / (k+2)

Hence, we get the value of x as, x = m / (k+2)

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According to the solving the length of the road in real life will be = 8 km.

The relationship (or ratio) between the distance on a map and the comparable distance on the ground is referred to as map scale. For example, on a 1:100000 scale map, 1cm on the map represents 1km on the ground.

You've probably seen maps with just a scale bar representing equal sections, each marked with kilometres or miles. These divisions have been used to calculate ground distance on a map. In other words, a map scale specifies the relationship between the map and indeed the entire or a portion of the earth's surface depicted on it.

scale on a map is 1 : 200,000.

= 1 : (200,000/(100*1000))

= 1:2

= 2km

So,

length of a road on the map is 4 cm.

= 4*2

= 8km

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Answer: 13.15

Step-by-step explanation:

50

-

36.85

Answer:

Step-by-step explanation:

13.50

x = 3 and x = 6 is extraneous solution.

√(x+7) +5=x

Subtracting 5 on both sides of the equation

√(x+7) + 5 - 5 = x - 5

√(x+7) = x - 5

Squaring both sides of the equation

(√(x+7))² = (x - 5)²

x + 7 = x² + 25 - 10x

x² - 9x + 18 = 0 ...(1)

By middle term splitting equation (1) can be written as

x² - 6x - 3x + 18 = 0

x(x - 6) -3(x - 6) = 0

(x - 3)(x - 6) = 0

x - 3 = 0 and x - 6 = 0

x = 3, 6

Check extraneous solution by putting the value of x in the original equation, we get

Let x = 3

√(3+7) +5 = 3

✓10 + 5 = 3

which is a contradiction, so, x = 3 is an extraneous solution.

Let x = 6

√(6+7) +5 = 3

✓13 + 5 = 3

which is a contradiction, so, x = 6 is an extraneous solution.

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We have a vertical line, so we have an undefined slope.

The general linear equation in the slope-intercept form is given by:

y = m*x + k

Where we define k as the y-intercept and m as the slope.

If we know that the line passes through two points (a, b) and (c, d), then the slope is given by the formula:

m = (d - b)/(c - a)

In this case we have the points (6,-8) and (6,-3), then the slope will give:

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

Notice that the denominator becomes zero, so we have a "slope of infinity", thing that happens for vertical lines

Basically, these lines have undefined slopes, so that is the correct answer.

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Answer:

Step-by-step explanation:

25 divide 77 = 0.32467532 x 100 = 32 (Leave off the rest, there is no such thing as a fraction of a person in this)

Simplified: (25/77)*100 = 32

To check our answer we would do 32 x 77%(.77) = 24.64 round-up and you get 25!

If you are still confused please do tell :)

The value of the expression log₃54 is 3.6.

Given that the expression is log₃54.

We are required to find the value of the expression by using the change of base formula.

The change of base formula is the formula that will give us the answer of a log with a different base by using only log calculations with a base of 10.

The expression is log₃54.

log₃54= log (54)/log (3)          

(We know that [tex]log_{a}b[/tex]=log b/ log a)

Now we have to use the values of logarithms in the above expression to find its value.

=1.73/0.48

=3.6

Hence the value of the expression log₃54 is 3.6.

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The sum of numbers from 1 to 100 is 50 × 101.

Carl Friedrich Gauss is a renowned mathematician. He has contributed many theories to the fields of mathematics and physics.

The sum of the first hundred numbers is calculated by making pairs of two numbers. The sum of these pairs is 101.

And there is a total of 50 pairs.

So, the sum of all these numbers is,

101 ×50

= 5050

Therefore, the sum of numbers from 1 to 100 is 5050.

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Answer:

x= -6/5

Step-by-step explanation:

-2x=3x +6

collect like terms

-6=3x+2x

-6=5x

x= -6/5

Answer: x= -6/5 make that a fraction

decimal form: x= -1.2

mixed number form: x= - 1 1/5, 1 is the whole number

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

A scenario which Micah's graph could represent is: 2. Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Mathematically, the average rate of change (slope) of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Average rate of change = (6 - 2)/4 - 0)

Average rate of change = 4/4

Average rate of change = 1.

Therefore, Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

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Answer: b or Micah’s plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

Step-by-step explanation:

Answer:

Rule: Multiplying ×5 in turn

50 { third term}

1,250 {fifth term}

Step-by-step explanation:

2 × 5 = 10 {second term}

10 × 5 = 50 { third term}

50 × 5 = 250 { fourth term}

250 × 5 = 1,250 {fifth term}

Answer:

x = [tex]\frac{15-3y}{5}[/tex]

Step-by-step explanation:

5x + 3y = 15 ( isolate the term in x by subtracting 3y from both sides )

5x = 15 - 3y ( isolate x by dividing both sides by 5 )

x = [tex]\frac{15-3y}{5}[/tex]

The ratio of impressions to fans is a measure of fan acquisition.

Given is to find the ratio of impressions to fans.

The ratio of impressions to fans is a measure of fan acquisition. Social marketing campaigns begin with fan acquisition, which involves using any of a variety of means, from display ads to News Feed and page pop-ups, to attract people to your Web page.

Therefore, the ratio of impressions to fans is a measure of fan acquisition.

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The slope intercept form of a line is y=mx+c, where m is slope.slope of a line perpendicular to 6x+y=8 is 1/6

The slope intercept form of a line is y=mx+c, where m is slope.

The equation of a line is 6x+y=8.

We need to convert to slope intercept form

y=8-6x

y=-6x+8

where m=-6 is slope of a line.

Two lines are said to be perpendicular when m1m2=-1

m1 is slope of given line and m2 is slope of other line which we have to find.

-6.m2=-1

m2=1/6.

Therefore slope of a line perpendicular to 6x+y=8 is 1/6.

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Both Katie and Ismailia are both correct because 20 is a coefficient and factor of the expression 20xy.

A coefficient is a number multiplied by a variable.

In other word, a coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial.

A factor is a number that divides another number, leaving no remainder.

Therefore, the coefficient of the expression 20xy is 20.

The factor of the expression 20xy is also 20.

Therefore, Both Katie and Ismailia are both correct.

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Answer:

there both right

Step-by-step explanation:

✔✔✔‍♂️‍♂️‍♀️

Answer:a

Step-by-step explanation:a cult

The solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.

It follows from the task content that the solution to the equation is to be determined and expressed in its simplest form.

Given;

-1/2 -1/2(4/5x+1) = -2 -3x

By distributing the coefficients: we have;

-1/2 - 2/5x - 1/2 = -2 -3x

Hence, by collecting like terms; we have;

-1/2 - 1/2 + 2 = -3x + (2/5)x

1 = -13x/5

Therefore; by cross-multiplication; we have;

5 = -13x

Divide both sides by; -13.

x = -5/13.

Ultimately, the solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.

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a. the length of the rectangle is 11 units while the width of rectangle is 7 units

b. The rectangles dimensions written as ordered pair (l, w) are

c. the points on coordinate can be (0, 0), (0, 11), (7, 11), and (7, 0).

d. The points are on the first quadrant because I plotted the points starting from the origin and moved in anticlockwise direction

Given data

perimeter = 36 units

perimeter of inner rectangle = 16 units

From the inner rectangle as plotted: 5 units on the graph represents 5 units of the rectangle on the x axis and 3 units on the graph represents 3 units on the rectangle on the y axis.

let the length of the outer rectangle be 5x and the width be 3x such that, the perimeter is solved as:

2(5x + 3x) = 36

16x = 36

x = 2.25

For the length

= 5x

= 5 * 2.25

= 11.25

= 11  (as a possible whole number)

For the width

= 3x

= 3 * 2.25

= 6.75

= 7 (as a possible whole number)

Hence we can say that the length is 11 units and the width is 7 units

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Answer is B                                                        

because i did it out i dont feel like explaning lol