Given that A, O & B lie on a straight line segment, evaluate x

The solution of the equation for b is b= 2d²/H

This involves taking a variable in an equation to stand alone

Note that this variable is different from the initial isolated variable

The equation is given as

1/2Hb = d²

Divide both sides of the equation by H

So, we have the following equation

1/2Hb/H = d²/H

Multiply both sides of the equation by 2

So, we have the following equation

2 * 1/2Hb/H = d²/H * 2

Evaluate the quotients and the products

b= 2d²/H

The above computation implies that:

We changed the subject of the formula in the equation 1/2Hb = d² from d² to b

This implies that solving for b is a concept of subject of formula

Hence, the solution is b= 2d²/H

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Answer:

s-6

both of them are elements

but s is a letter while 6 is a number so these can not subtract each other because they are different values

The simplified expression is as follows;

The error was made because you didn't multiply the powers.

The expression can be simplified as follows;

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} }[/tex]

Using the law of indices,

If a base variable is raised to a number (y) and the entire number raised to power (x), then it is equal to the base number raised to the multiplication of the two exponents (x × y) i.e.

Hence,

[tex](A^{x} )^{y} = A^{xy}[/tex]

Therefore, let's apply the rule,

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} }[/tex]

Hence,

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} } = x^{\frac{21}{25} }[/tex]

Therefore, using the law of indices,

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }[/tex]

The error was that he did not multiply the exponents.

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Given the function

When P(t)=3000

Hence, it will take 10.06yr for the population to reach 3000, option F

hello

to solve for x, let's cross multiply both sides

step 2

divide both sides by -2

x = - 6

Answer:

x = -6

Step-by-step explanation:

An equation that shows the proportional relationship between cups (c) and tablespoons (n) is: B. c = 0.0625n

A proportion is an equation which is typically used to indicate the equality of two (2) ratios. Therefore, proportions can be used in mathematics to show that two (2) ratios are equivalent and then used to calculate or determine all of the unknown quantities.

Mathematically, a proportional relationship can be represented by the following equation:

y = kx

Where:

Let the cups be represented by c.

Let the tablespoons be represented by n.

Next, we would determine the constant of proportionality (k) as follows:

c = kn

Making k the subject of formula, we have:

k = c/n

k = 0.5/8 ≡ 1.5/24

k = 0.0625.

Substituting the parameters into the equation for a proportional relationship, we have;

c = kn

c = 0.0625n

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Answer:

C = (8/.5)n

Step-by-step explanation:

.5 = 8

1.5 = 24

C = (8/.5)n

Because  

8 divided by .5 = 16

16 * .5 = 8

Ex.2

8 divided by .5 = 16

16 * 1.5 = 24

The equivalent expression is 9.45

How to find the equivalent expression?

Calculating the product,

(21.)5 (0.9) = 10.5 *0.9

                  = 9.45

Other equivalent expressions are:

[tex]\frac{189}{20} \text{ and } 9 \frac{9}{20}[/tex]

What is a product?

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It is to be noted that the distance between P and ρ is: [tex]\approx[/tex] 15.52

This solution is arrived at using the Line Segment theorem. See further explanation below.

The length of the line segment connecting two points in a plane is defined as the distance between two points. The method for calculating the distance between two locations is often written as

[tex]d = \sqrt{((x_{2} – x_{1})² + (y_{2} – y_{1})²).} [/tex]

Hence, since we have ρ is to contain two points, we will solve as follows:

Distance between ρ and P where ρ is (0, -3) and (7,4)

we have to multiply the coordinates.

To multiply coordinates, you have to multiply the corresponding values.

That is

[tex]x_{1} \times x_{1} [/tex]

and

[tex]y_{1} \times y_{1}[/tex]

In this case:

x1 = 0

[tex]x_{1} = 0[/tex]

also

[tex]x_{1} = 7[/tex]

[tex]y_{1} = - 3[/tex]

also

[tex]y_{1} = 4[/tex]

Hence, for

[tex]x_{1} = 0 \times 7 = 0[/tex]

for

[tex]y_{1} = - 3 \times 4 = 12[/tex]

Hence, solving for the distance between P and ρ, we'd use coordinates of P as = (4, 3); and coordinates of ρ as = (0, -12)

Recall that distance is given as

[tex]d = \sqrt{((x_{2} – x_{1})² + (y_{2} – y_{1})²).} [/tex]

Hence,

d = √((0-4)² + (-12-3))²)

[tex]d = \sqrt{{(( {0 - 4}^{2} }) + { (- 12 - 3)}^{2} } [/tex]

Expand the brackets

[tex]d = \sqrt{ { - 4}^{2} + ( { - 15}^{2} } )[/tex]

[tex]d = \sqrt{16 + 225} [/tex]

[tex]d = \sqrt{441} [/tex]

d = 15.5241746963

Approximately,

d = 15.52

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Answer:

-55

Step-by-step explanation:

D has a value of 13 using vertical angles.

What is a vertical angle?

Assuming that C and D constitute vertical angles

The formula is C = (-3x) + 58 and D = x - 2.

We must ascertain what D's measurement is.

Vertical angles are really a pair of opposing angles created when two lines cross.

A and B in the figure represent vertical angles. C and D are also.

Angles vertically are always congruent. Accordingly, in this illustration, A, B, and C, D

Therefore, value of C = D (-3x)+ 58 = x – 2

By assembling,

(-3x )- x = (-2) - 58

By doing more math, 4x = 60 (-4x = - 60)

4 x = 60/4 x = 15 when both sides are divided.

So, ∠D = (x - 2) and  

= 15 - 2 

So, ∠D = (x - 2) and  

Consequently, D has a value of 13 using vertical angles.

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Answer:

$6,95

Step-by-step explanation:

3,19

1,45

2,31 +

————

6,95

Answer:

88888

88889

88898

....

2^5 = 32

Hello, the correct answer to the question should be [tex]263.63[/tex] dollars.

Tyrone does not have any money in his bank account. Also, his balance contains a negative symbol, which means that he owes money to the bank.

When his paycheck arrives, money will come into his account. This means that Tyrone will pay off his debt to the bank.

Since the money coming into his account and his balance have different symbols, we will add the two values and get the result.

Option D is the constructions that would construct a line of reflection from point A to point B. Make a line parallel to line AB.

A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.

Parallel lines are two lines in the same plane that are equal distance apart and never intersect. They can be both horizontal and vertical in orientation.

We have,

-Make a perpendicular bisector of segment AB.

A perpendicular bisector does not create a line of reflection that connects points A and B, but rather divides the line AB into two equal parts.

-Draw a line through B that is perpendicular to segment AB.

A perpendicular line through B to segment AB WILL NOT Make a line of reflection from point A to point B.

-Build the line that connects A and B.

A line passing through A and B will NOT create a line of reflection that connects points A and B, but will instead create Line A and B and not its reflection.

Hence,

Make a line parallel to line AB.

A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.

To summarize

Option D is the constructions that would create a line of reflection from point A to point B.

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Answer: if you are talking about mixed number form the answer is 1 1/11 the improper/exact form would just be twelve over eleven (12/11)

Step-by-step explanation:

The solution to the system of equations as an ordered pair is (4, -3).

We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.

We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".

y = (-1/2)x - 1

(-1/4)x + y + 4 = 0

Substitute the value of "y" from the first equation into the second equation.

(-1/4)x + (-1/2)x - 1 + 4 = 0

(-3/4)x+3 = 0

(3/4)x = 3

x = 4

Substitute the value of "x" back into the first equation to get the value of "y".

y = (-1/2)x - 1

y = (-1/2)4 - 1

y = -2 - 1

y = -3

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The powers of the imaginary number gives:

etc...

We know that the imaginary number is defined as:

i = √(-1)

If we square it, then we get:

i²  = √(-1)² = -1

As the exponent 2 removes the square root.

With the exponent 3 we get:

i³ = √(-1)³ = √(-1)²*√(-1) = -1*i = -i

i³ = -i

Finally, the exponent 4 gives:

i⁴ = i²*i² = (-1)*(-1) = 1

And now the cycle repeats, we will have that:

i = i⁵

i² = i⁶

i³ = i⁷

i⁴ = i⁸

etc...

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An integer exists a whole number that can be positive, negative, or zero and is not a fraction.

Unlike fractional numbers, integers can only be positive, negative, or zero. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. An integer is a whole number that can be positive, negative, or zero and is not a fraction.

Any number that exists a part of a collection of all the aforementioned number categories is considered an integer. Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

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83.59 is the solution of linear equation a- b .

What are examples of linear equations?

a = 86.4

b = 2.81

So,

Substitute = 86.4 - 2.81

Calculate the sum or difference = 83.59

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Solving the questions from the given equations

1)the monthly cost per head to feed them if the grain you feed is $27.00 per 50lb bag is $16.2

2) The cost per head per month is $23.4

3) The cost per head per month is $39

What is Equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

1) The grains use feed for one horse = 4.5pound

The cost of 1 bag of grain = $27 per 50lb

The cost of 1lb grain = $0.54

Now the monthly cost of the grain will be:

Cost/head/day x # of days in month = Cost/head/month

$0.54 x 30 = $16.2

Hence, the monthly cost per head to feed them if the grain you feed is $27.00 per 50lb bag is $16.2

2) The amount of grain use to feed for one head = 1.5pound

If the grain is feed twice a day = 1.5 x 2

                                                   = 3.0

The cost of the grain = $13 per 50lb

The cost of 1lb grain = 13 / 50

                                  = $0.26

The cost of grain feed in one day = 0.26 x 3

                                                        = $0.78

The cost of per head per month =

0.78 x 30 = $23.4

Hence, The cost per head per month is $23.4

3)The amount of grain use to feed for one head = 2.5pound

If the grain is feed twice a day = 2.5 x 2

                                                   = 5pounds

The cost of the grain = $13 per 50lb

The cost of 1lb grain = 13 / 50

                                  = $0.26

The cost of grain feed in one day = 0.26 x 5

                                                        = $1.3

The cost of per head per month =

1.3 x 30 = $39

Hence, The cost per head per month is $39

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Answer:

B. There is no solution

Step-by-step explanation:

35x - 21y = 10

 5x - 3y = 2

---------------------

(5x - 3y = 2) × (-7)

= (-35x + 21y = -14)

---------------------------

35x - 21y = 10

-35x + 21y = -14

-------------------------

                 = (-4)

No Solution

I hope this helps!

The system of equation 35x - 21y =10 and  5x-3y=2 has no solution , Option B is correct.

Two or more expressions with an Equal sign is called as Equation.

The given system of equation is 35x - 21y =10 and  5x-3y=2

We can use elimination method to solve for x and y.

First, we can multiply the second equation by 7 to get:

35x - 21y = 10

35x - 21y = 14

Next, we can subtract the second equation from the first equation to eliminate the x terms:

35x - 21y - (35x - 21y) = 10 - 14

0 = -4

This is a contradiction, so there is no solution for x and y that satisfies both equations. The system is inconsistent.

Hence, the given system of equation 35x - 21y =10 and  5x-3y=2 has no solution , Option B is correct.

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Answer:

x = 70

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 160 + 110 + 105 + 95 = 540

x + 470 = 540 ( subtract 470 from both sides )

x = 70

We need to find the amount Tommy is paid per hour. This is simple:

r = 189/21
r = 9

Now, to find the amount he is paid, the equation is as follows:

y = rx

For 40 hours, the equation is:

y = 9(40)
y = 360

Answer:

Step-by-step explanation:

r = 189/21

r = 9

Now, to find the amount he is paid, the equation is as follows:

y = rx

For 40 hours, the equation is:

y = 9(40)

y = 360

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4635\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 0.6\%\to \frac{0.6}{100}\dotfill &0.006\\ t=years \end{cases} \\\\\\ 4635=4500[1+(0.006)(t)]\implies \cfrac{4635}{4500}=1+0.006t\implies \cfrac{103}{100}=1+0.006t \\\\\\ \cfrac{103}{100}-1=0.006t\implies \cfrac{3}{100}=0.006t\implies \cfrac{3}{0.6}=t\implies \boxed{5=t}[/tex]

Answer: 65 min

 7 pounds

Step-by-step explanation:

A. Mean = 71

B. Median = 75

C. Mode = 0

D. Mean is used to represent data, because mean measures central tendency.

From the given stem we have to write a data set ,

Data set = 35, 42, 43, 51, 55, 57, 62, 66, 68, 69, 74, 75, 76, 77, 78, 79 , 82, 84, 86, 88, 93, 94, 101

Mean = average

         = sum of all numbers / total number of values .

         = 1635 / 23

         = 71.08 = 71

Median = middle term

Total there are 23 terms so middle term is the 12th term .

So median = 75

Mode = Most repeated term or term that has high frequency.

Here no terms are repeating so mode = 0

By comparing mean , median and mode ,

Mean is used to represent data .Because, the mean is the most commonly used measure of central tendency because it averages all of the values in the data set.

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The value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

No matter how far we extend a parallel line, it will always remain straight. Take a look at the parallel lines in the following illustration. Lines "p" and "q" are parallel to each other as are lines "a" and "b."

We know that parallel lines have same slope, so the slope of y = 2x - 5 is 2 according the y intercept form, y = mx + b

Now using the point-slope form we will find the line parallel to Point B (6, 8)

y − y₁ = m(x − x₁)

Put m as 2, y₁ as 8 and x₁ as 6, and we wil get

y − 8 = 2(x −6)

y = 2x − 4 or

2 = (y + 4)/x           (slope)

We will us point-slope form for point A(n, 4) too

y − 4 = 2(x −n)

y = 2x − 2n + 8 or

2 = (y - 8 + 2n)/x

As slope 2 is same in both points it means their equations are same too

(y + 4)/x  =  (y - 8 + 2n)/x

Lest solve for n

(y + 4)/x  =  (y - 8 + 2n)/x

y + 4 =  y - 8 + 2n

4 = - 8 + 2n

4 + 8 = 2n

2n = 12

n = 12/2

n = 6

Thus, the value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

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The value of x is 2 is and y is -1 is after solving equation by elimination method

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

5x + 7y=3 .....(i)

-5x + 7y=-17......(ii)

Solve equation ii and iii

-5x + 7y=-17

5x + 7y=3

14y = -14

y = -1

put the value of y in equation 1

5x + 7y=3

5x + 7(-1)=3

5x - 7 = 3

5x = 10

x =2

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Answer:

The terms are rearranged, so the Commutative Property is correct.