Simplify the expression:
5t+
–
9+
–
8t+
–
5

Answer:

x=5

Step-by-step explanation:

step one: distribute to get rid of parentheses. this means multiplying -3 by the numbers inside of the parentheses next to it.

-3(-6)= 18 and -3(-4x)=12x

this makes the equation now 8x+38=18+12x

step two: move x to one side of the equation. we can do this by using inverse operations, so we're going to subtract 8x from both sides.

8x-8x=0, 12x-8x= 4x.

this makes the equation now 38=18+4x

step three: isolate x. this means getting rid of the 18. to do this, we are going to use inverse operations again. this means subtracting 18 from both sides.

18-18=0, 38-18=20.

this makes the equation now 20=4x

step four: divide to get x by itself. we don't want to know what 4x is, we just want to know what plain x is. so we're going to use inverse operations for the last time and divide both sides by 4 because 4x is the same thing as saying "four times x"

20/4= 5, 4x/4=x

this makes the equation now 5=x

that's your answer, x=5. hope this helped!

Answer: y = -5 - 1/2 x

Step-by-step explanation:

Slope intercept form: y=mx+b

2x+4y=-20

Isolate the y.

4y=-20-2x

Divide by 4.

y=-20/4-2x/4

y = -5 - 1/2 x

Answer:

C

Step-by-step explanation:

The measure of each angle in an equilateral triangle is [tex]60^{\circ}[/tex], not [tex]120^{\circ}[/tex].

The difference between the total number of white tiles and the total number of black tiles in the new figure is 11.

Thirteen black and six white hexagonal tiles. If a new figure is created by attaching a border of white tiles with the same size and shape as the others

To find  the difference between the total number of white tiles and the total number of black tiles in the new figure.

Now, According to the question:

The solution will be:

The first ring around the middle tile has 6 tiles, and the second has 12. From this pattern, the third ring has 18 tiles. Of these, 6+18=24 are white and 1+12=13 are black, with a difference of 24-13 = 11.

Hence, the difference between the total number of white tiles and the total number of black tiles in the new figure is 11.

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The x-intercept of the linear equation is (7, 0).

Here we have the following linear equation:

y = x - 7

We want to find the x-intercept, this is the point where the line intercepts the x-axis, it will happen when we take the value of y = 0, then we need to solve.

0 = x - 7

Solving that, we get:

7 = x

Then we conclude that the x-intercept of the linear equation is (7, 0).

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Answer:

multiplying factor = 1.15

Step-by-step explanation:

the original amount is 100%

the increase is 15%

then increasing the original amount by 15% is

100% + 15% = 115% = [tex]\frac{115}{100}[/tex] = 1.15

multiplying factor is 1.15

Answer: $322

Step-by-step explanation:

1400x0.23 = $322

Equivalent expressions are expressions that have the same result.

The expression in this problem is defined as follows:

13 + 4g.

The commutative property is applied in this problem, meaning that the order of the terms is exchanged, hence the equivalent expression is given as follows:

4g + 13.

The numeric values of the expression are given as follows:

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Quadratic equation is a type of equation which has the highest power of 2. The product of the given terms is option B.  [tex]2x^{3}[/tex] - [tex]11x^{2}[/tex] + 43x + 24

An equation is said to be quadratic if and only if the highest power of the variable in its terms is 2. Thus they can be solved either by completing the square method, graphical method, the use of the quadratic formula etc.

The product of an algebraic term and a quadratic equation involves a stepwise procedure, such that all terms and exponential are considered.

The given question state thus:

what is the product of x - 8 and [tex]2x^{2} -5x-3[/tex]?

Thus using the expansion method, we have:

(x + 8)( [tex]2x^{2} -5x-3[/tex]) = [tex]2x^{3}[/tex] - [tex]5x^{2}[/tex] - 3x + [tex]16x^{2}[/tex] - 40x - 24

                                  =  [tex]2x^{3}[/tex] - [tex]11x^{2}[/tex] + 43x + 24

Thus the product of the given question is option B.   [tex]2x^{3}[/tex] - [tex]11x^{2}[/tex] + 43x + 24

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The Answer is

D) x=3 and x=-4

Answer: it D

x=3 and x=-4

Answer:

0.009754

Step-by-step explanation:

(.65)^4 x (0.35)

By saying that he makes a free throw on the fifth show, he did not make the first four, therefore 4 of the times he shot, he did not get it in.

If he makes the shot 35% of the time, he doesn't make it 65% of the time: (1-0.35=.65)

On the last shot he made it, which he makes 35% of the time therefore:

You want to multiply : 0.35 (which is = 35%) by itself four times and then multiply that by 0.65 (since the last shot was made)

0.35 x 0.35 x 0.35 x 0.35 x 0.65 = 0.009754 or 0.9754%

There is a 0.9754% chance he makes it BUT a 0.009754 probability

The graph of the proportional relationship that models Angie's earnings is given as follows:

Graph B.

A proportional relationship is defined as follows:

y = kx.

Meaning that it is a special case of a linear function, with intercept of zero, meaning that it always passes through the origin.

Angie charges a flat rate for each ride, hence her total earnings are modeled by a proportional relationship.

From the graphs given by the image at the end of the answer, the only one that passes through the origin is graph B, hence graph B could represent her earnings.

The graphs are given by the image shown at the end of the answer.

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Step-by-step explanation:

The 3 possible solutions for the inequality.

Add (or subtract) a number from both sides. Multiply (or divide) both sides by a positive number. Simplify a side

try this to get your answer

answer

b5

Step-by-step explanation:

If b = 3, then the inequality becomes 17 ≥ 2(3) or 17 ≥ 6, which is true.

If b = 6, then the inequality becomes 17 ≥ 2(6) or 17 ≥ 12, which is not true.

If b = 2, then the inequality becomes 17 ≥ 2(2) or 17 ≥ 4, which is true.

If b = 5, then the inequality becomes 17 ≥ 2(5) or 17 ≥ 10, which is true.

Therefore, the solutions to the inequality 17 ≥ 2b are b = 3, b = 2, and b = 5.

The diagonal distance across the plaza is 70.7 meters

Given,

In the question:

Elise walks diagonally from one corner of a square plaza to another.

Each side of the plaza is 50meters.

To find the diagonal distance across the plaza.

Now, According to the question:

We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.

Since we know that diagonal of a square is product of side length of square and [tex]\sqrt{2}[/tex]. So we will find diagonal of our given square plaza by multiplying 50 by [tex]\sqrt{2}[/tex] .

Diagonal distance across the plaza = 50 x  [tex]\sqrt{2}[/tex] .

We know that the value of  [tex]\sqrt{2}[/tex]  = 1.41421

Diagonal distance across the plaza = 50 x 1.41421

Diagonal distance across the plaza = 70.7105 ≈ 70.7

Hence, The diagonal distance across the plaza is 70.7 meters.

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The expression [tex]$\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}$[/tex] represents [tex]$\sqrt[6]{3}$[/tex]as rational exponents as a radical expression.

What is an expression?

"An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation in it."

The given expression is:

[tex]$$\begin{aligned}& \frac{3^{\frac{1}{1}}}{3^{\frac{1}{6}}} \\& =3^{\frac{1}{3}-\frac{1}{6}} \\& =3^{\frac{1}{6}} \\& =\sqrt[6]{3}\end{aligned}$$[/tex]

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Therefore, as per the solution from the linear equation in one variable, the line segment PR is 9 units.

A linear equation in one variable is one that is written in the form ax + b = 0, where a, and b are real numbers and the coefficients of x and constant, i.e. a and b, are not equal to zero.

Given :

PR is a line.

Q is the midpoint of PR. So PQ = PR.

QR = x + 9

PR = 3x + 9

According to the question, verification is

PQ = PR

X + 9 = 3x + 9

3x – x = 9 - 9

2x = 0

x = 0

Therefore, as PQ = PR

x + 9 = 3x + 9

0 + 9 = 0(3) + 9

     9 = 9

  PR = 3(0) + 9

  PR = 0 +  9

  PR = 9

Therefore, as per the solution from the linear equation in one variable, The line segment PR is 9 units.

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Therefore, as per the solution from the linear equation in one variable, the line segment PR is 9 units.

A linear equation in one variable is one that is written in the form ax + b = 0, where a, and b are real numbers and the coefficients of x and constant, i.e. a and b, are not equal to zero.

Given :

PR is a line.

Q is the midpoint of PR. So PQ = PR.

QR = x + 9

PR = 3x + 9

According to the question, verification is

PQ = PR

X + 9 = 3x + 9

3x – x = 9 - 9

2x = 0

x = 0

Therefore, as PQ = PR

x + 9 = 3x + 9

0 + 9 = 0(3) + 9

    9 = 9

 PR = 3(0) + 9

 PR = 0 +  9

 PR = 9

Therefore, as per the solution from the linear equation in one variable, The line segment PR is 9 units.

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In linear equation, plant b height will exceed the height of plant a after 16 days.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Plant a: 5 cm tall and rate of change = 2.5 cm per month

Plant b: 4  cm tall and rate of change = 4.5 cm per month.

Now we have to form the linear equations.

Plant a:

y = 2.5x + 5, where y is the total height and "x" be the number of months.

Plant b:

y = 4.5x + 4 , where y is the total height and "x" be the number of months.

Now we have to when the height of the plant a and plant b are the same.

To do that, we have to equivate both the equations and find x.

2.5x + 5 =4. 5x + 4

Isolate the variables terms and constants.

4.5x - 2.5x = 5 - 4

2x = 1

Dividing both sides by 2, we get

x = 1 ÷ 2

x = 0.5 months.

So after 15 days, the height of the plant a and plant b are the same.

Therefore, plant b height will exceed the height of plant a after 16 days.

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Answer:

x = 2.5y - 1

Step-by-step explanation:

Subtract 2 from both sides

then you get 2x = 5y - 2

then divide everything by 2 for the answer

x = 2.5y -1

Answer:

C 64

Step-by-step explanation:

1. 2(2)(4)(8(2)-3(4))

2.2(8)(16-12)

3. 16(4)

4. 64

Answer:

X=8, y=19

Step-by-step explanation:

These two triangles are congruent. This means that angle STR = angle MNL, so angle STR = 63°. We know the angles in a triangle must sum to 180°, so we can figure out 3x from this, given that we know the other two angles. 63 + 93 = 156, so 3x = 180-156=24. This gives us that x = 8. Now we can solve for x, because we know that SR = ML, so 3x + y = 43. We know x = 8, so we get that 24 + y = 43, or y = 19.

I hope this helps!

The cost of the circular floor is $3299.77.

The space a circle takes up in a two-dimensional plane is known as the area of the circle.

For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much cloth is required to completely cover a circular table, for example.

Area of circle = [tex]\pi r^{2}[/tex]

Given in question,

[tex]\pi[/tex] = 3.14

Diameter = 33

Radius = Diameter/2

           = 33/2

           = 16.5

Area = 3.14*16.5*16.5

        = 854.865 square

Cost per square = $3.86

Cost for 854.865 square = 3.86*854.865

                                         = 3299.78

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Answer:

Step-by-step explanation:

Well, the x increases by 5

And the Y increases by 2

So the slope is 5/2

And the equation would be 5/2x + b

Answer:

Step-by-step explanation:

The rate of change is the slope of the line formed by connecting the two data points:

1.  (2010,1510). and   [enrollment for a school in 2010 was 1510 students]

2.  (2020, 860)         [In 2020, the enrollment was 860 students]

Slope is the Rise/Run of the line.  Lets go from the first point to the second.

The Rise:  (1510 - 860) = 650

The Run:   (2020-2010) = 10

The slope, or rate of change, is = 65

The interpretation is that "The enrollment at the school increase by an average of 65 students every year since 2010 until 2020."

Matt should take dependent variable is the number of units assembled; the independent variable is the number of hours to make it correct.

A variable is any qualities, number, or amount that can be estimated or counted. A variable may likewise be known as an information thing. Age, sex, business pay and costs, nation of birth, capital use, class grades, eye tone and vehicle type are instances of factors.

Considering that a machine in a plant can collect 234 units in 3 hours. Free factor is the no of units gathered and subordinate variable is the time taken.

Let y be number of hours and x be  number of units assembled;

So, we can write

y = mx

Slope = y/x = 3/234 = 1/78

constant of proportionality is 78 is inverse, so To make correct we have to take dependent variable is the number of units assembled; the independent variable is the number of hours.

correct equation is, x = 78y

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The distance covered in each month = 194.89 miles

The unitary method entails figuring out the value of a single unit from which we can extrapolate the values of all the required units.

Distance. A line or line segment's length between two points along the line or line segment

According to the given information

Using unitary method

Distance covered in 9 months = 1,754 miles

Distance covered in each month = [tex]\frac{1754}{9}[/tex] miles

So,

The distance covered in each month = 194.89 miles

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