Solve this equation. 4u - 7 + 2u = 8u + 3​

The statement explaining why Chris will incorrectly determine the cost of taking the taxi cab to the airport is D. Chris should have multiplied 2.4 by d as shown by the equation c=(2.4d).

An equation is a mathematical statement proving two or more mathematical expressions to be equivalent or equal.

Equations use the symbol (=) to depict the equality of the expressions.

The equation to show the total cost of hiring a tax cab should multiply the distance (miles) by the unit rate.

The tax cab charge (rate) per mile = $2.40

The cost function or equation is C = distance x $2.40

= 2.40d

Thus, the correct cost equation is Option D.

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There are 8 adults. This is because 1 adult is needed for every 8 students, so 8 multiplied by 8 is 64, which is the number of students. Therefore, 8 adults are needed.

Here, y = 0 is the equation of the x-axis.

Also, y = 5 is the equation of a line parallel to the x-axis.

⇒ y = 0 and y = 5 are parallel to each other

Since the equations are parallel, then they have no solution.

Hence, the pair of equations y = 0 and y = 5 has no solution.

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations. Also, we can find the number of solutions by the graphical method.

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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Answer: 53

Step-by-step explanation:

x = 180 - 90 - 37

  = 180 - 127

  = 53

To solve for the factored form of an equation, you can use a variety of methods, such as grouping, factoring by grouping, factoring by inspection, factoring by using the difference of squares, sum of cubes, or difference of cubes.

Grouping: This method involves grouping the like terms in the equation and factoring out the greatest common factor from each group.

Factoring by grouping: This method involves grouping the terms in the equation and factoring out the common factor that is shared by each group.

Factoring by inspection: This method involves looking at the equation and identifying any common factors that can be factored out of the equation.

Factoring by using the difference of squares, sum of cubes, or difference of cubes.

Factoring by using the quadratic formula.

Once you have factored the equation, you can set each factor equal to zero and solve for the variable.

For example, let's consider the equation x^2 + 5x + 6 = 0. Using the factoring by inspection method, we can see that (x + 2)(x + 3) = 0, so either x + 2 = 0 or x + 3 = 0. Solving for x, we find that x = -2 and x = -3 are the solutions to the equation.

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Answer:

D

Step-by-step explanation:

given 2 sides of a triangle then the third side SU is in the interval

difference of 2 known sides < SU < sum of 2 known sides , that is

52 - 39 < SU < 52 + 39

13 < SU < 91

The figures that will fill the boxes correctly to solve the above division question would be

box 1 = 238

box 1 = 238box 2= 800

box 1 = 238box 2= 800box 3 = 120

box 1 = 238box 2= 800box 3 = 120box 4 = 32

Division is defined as the one of the major arithmetic operation used in the field of mathematics that helps to share a data set amount other values.

The type of division method that is being represented above is the long division method which has its divisor written outside the right parenthesis or the left sidebar, while the dividend is placed within, and the quotient is written above the overbar on top of the dividend.

Thus, when 952 is divided by four using the long division method, the resulting value would be = 238.

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Answer: The answer Is conic

Step-by-step explanation:

The balloon's radius is expanding at a rate of 0.035 cm/s.

Let R & V stand for the provided spherical balloon's radius (in cm) and volume (in cm3), respectively.

So, using the data above, we can derive the following relation:

V = (4/3)*π*(R^3) …… (1a)

When we differentiate (1a) with regard to time (t), we obtain either

dV/dt = (4*π*R^2)*(dR/dt)

or dR/dt = (dV/dt)/(4*π*R^2) … … (1b)

(1b) Using the information provided, we can deduce that

dR/dt = 100/[4*π*(30/2)^2] = 1/(9*π) = 0.035 (cm/s)

Thus, it is clear from above that the balloon's radius is expanding at a rate of 0.035 cm/s.

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The question is incomplete, the full question

Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm^3/sec. How fast is the radius of the balloon increasing when the diameter is 50 cm?

Answer: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

In a coordinate plane, a vertical line is an upward and downward straight line perpendicular to the y-axis. Like the x-axis, the horizontal line travels straight, left, and right.

A line that runs horizontally is one that does so from left to right. You are viewing the dawn across a horizontal line when you stare at it beyond the horizon. An illustration of a horizontal line is the x-axis.

A line that runs up and down is called a vertical line. The legs of a table are vertical lines, like in the example to the right. An illustration of a perpendicular line is the y-axis.

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The original price of the ski jacket is $184.

What is price?

The sum of money paid or the amount of compensation offered by one party to another in exchange for goods or services is known as a price. The cost of production can take on different names depending on the circumstance. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price".

Given:

Paula bought a ski jacket on sale for $8 less than half its original price.

She paid $84 for the jacket.

We have to find the original price of the ski jacket.

Let

The original price = x

The amount she bought it = x/2 - 8

She paid $84 for the jacket

Therefore,

84 = x/2 - 8

Add 8 on both sides,

84 + 8 = x/2 - 8 + 8

92 = x/2

x = 184

Hence, the original price of the ski jacket is $184.

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The cost of 4 dance lessons will be $52.

Given is that the cost for 7 dance lessons is $82 and the cost for 11 lessons is $122.

The given coordinate points are -

(7, 82) and (11, 122)

We can write the equation as -

y = mx + c

Now -

m = (122 - 82)/(11 - 7)

m = 40/4

m = 10

The equation will now become -

y = 10x + c

For the point (7, 82), we can write -

82 = 10 x 7 + c

c = 82 - 70

c = 12

So, the equation representing the cost to the total number of dance lessons is -

y = 10x + 12

For {x} = 4, we can write -

y = 40 + 12

y = 52

Therefore, the cost of 4 dance lessons will be $52.

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Answer:

70.3

Step-by-step explanation:

7 tenths = 70

Answer:

Option #4 7.3

Step-by-step explanation:

First you multiply 7 by 10 the denominator. (7x10)=70

Second add 3 to the sum. (70+3)= 73

Third divide 73 by 10. (73/10)=7.3

This makes the answer 7.3.

-Hope this helped

If the cost for first 200 words is $50 and anything over200 words will be an additional $0.05 per word , then the piecewise function is [tex]C(x) = \begin{array}{cc} \{ & \begin{array}{cc} 50 & 0\leq x\leq 200 \\ 50+(x-200)\times0.05 & x > 200 \end{array}\end{array}[/tex].

For posting the advertisement in local newspaper , there are two criteria ,

if the advertisement is for 200 words then the cost will be $50 ;

let the number of words be x ;

So , the domain for this in the piecewise function will be [tex]0\leq x\leq 200[/tex]  ;

and if there are more than 200 words , then the additional cost is $0.05 per word ,

that means , the domain will be [tex]x > 200[/tex] ;

also given that , we have used 84 words in the advertisement ,

84 lies in this [tex]0\leq x\leq 200[/tex] , So ,the cost will be $50 .

The Piecewise Function can be represented as : [tex]C(x) = \begin{array}{cc} \{ & \begin{array}{cc} 50 & 0\leq x\leq 200 \\ 50+(x-200)\times0.05 & x > 200 \end{array}\end{array}[/tex].

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Answer: it is table "a"

explanation:

as the equation is y= 2x + 5 you should substitute each of the x values from -2 to 4 in order to get the y value which will help you decide which table should be used by Cindy to graph the equation.

now, this is how you should substitute the values into the equation and simplify it so that you get the "y" value.

the first x value given is -2 therefore:

you put -2 in the equation instead of putting x, this will allow you to find the y value which you can compare with the choices given.

y= 2x+5 (this is the equation)

y= 2(-2)+5 (here I have replaced the x with -2)

y= -4+5 (you should multiply 2 and -2)

y= 1 (therefore the answer is 1)

you should further continue this way and get the y values which will help you decide which is the correct table to be used. Now you already know that table "a" is the answer.

Answer:

The answer is table A

Step-by-step explanation:

Given:

Form the table of values from x = -2 to x = 4

Hence,

Therefore, the table that can be used for the graph of the equation is;

Table A

The given equation has 161700 distinct solution.

If a sum of non-negative integers whose values is pre-defined say m is equal to a fixed value say n such that:x1+x2+x3+...+xm=n then the total combination of m non negative integers x1,x2,...xm in mathematical form can be written as: n+m−1Cm−1.

The above problem can also be written as:

x1+x2+x3+x4=100x1≥1x2≥2x3≥0x4≥0

Here x3 and x4 are non-negative integers and there is a restriction on x1 and x2.

Removing the restriction on x1 and x2  as:100 - 1 - 2 = 97

The number of distinct solution that the equation x1+x2+x3+x4=100 has is equivalent to the non-negative solution. of x1+x2+x3+x4=97 and is given by:

97+4−1C4−1=100C3=161700

Hence, the number of distinct solution that the equation x1+x2+x3+x4=100 has is 161700.

The solutions of equations basically depends on the power of variables present on it .

The solutions of equations also show that the how much the power of variables Is present that times it cuts the axis .

For example

1.if x+2=0 then x=—2 that means it has one solution and it also means it cut the x -axis one time .

2.if x^2–4=0 then x have two values that is x=+2,x=—2 it also means it cut the x-axis two times

Similar for power is 3 then it have three solution.

And so on for if power is n then it have solutions .

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Number of miles in 8,400 feet are 1.6 miles.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, there are 5,280 feet in 1 mile.

Let the number of miles in 8,400 feet be x.

So, 5280/1 = 8400/x

5280x=8400

x= 8400/5280

x= 1.6 miles

Therefore, number of miles in 8,400 feet are 1.6 miles.

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Answer:

Give more points

Step-by-step explanation:

The cost of admission to the fair  (A)  $18 (B)  2.50x +18  (C)   Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.

Note that the county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be:  (2.5* 15)r = $37.50

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be:  

(B) If x represents the number of ride tickets and  represents the total cost, then the cost for  number of ride tickets is 2.50x +18

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be:  

(C) In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.

And the constant term is 18, which represents the cost of admission to the fair.

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complete question

The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost.

(A) Find the cost of admission to the fair. Explain how you found the cost of admission.

(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.

(C) Explain what the coefficient on x and the constant of your linear equation represent.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

√81 = 9

-√144  = -44

√4/25 = 2/25

√0.36 = 0

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The radius of the cylindrical bucket is 11 inches.

Now, According to the question:

We have the given data is :

A cylindrical bucket that is 30 inches tall

A cylindrical 11,400 cubic inches of water.

We have to find the radius of bucket's.

Height (h) = 30 inches tall

Volume of cylinder is 11,400

We know that the:

Volume of cylinder is = [tex]\pi r^2h[/tex]

Plug all the values in the formula.

[tex]\pi =3.14[/tex]

11,400 = 3.14[tex](r)^2[/tex]× 30

11,400 = 94.2[tex](r)^2[/tex]

[tex](r)^2[/tex] = 11400/94.2

r = [tex]\sqrt{121.00}[/tex]

r = 11

Hence, The radius of the cylindrical bucket is 11 inches.

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There are three types of systems of linear equations in two variables: Consistent System,Inconsistent System,Dependent System.

A linear system is a mathematical model of a system of linear equations, in which the variables and constants have a linear relationship. This type of system is widely used in engineering, physics, economics, and other areas of study. Linear systems are often used to find solutions to problems in areas such as optimization or forecasting. They are also used in many machine learning algorithms. Linear systems are characterized by their linearity and they are usually solved using linear algebra techniques.

1. Consistent System: A consistent system of linear equations in two variables has at least one solution. This means that there is at least one set of values for the two variables that will make all equations true.

2. Inconsistent System: An inconsistent system of linear equations in two variables has no solution. This means that there is no set of values for the two variables that will make all equations true.

3. Dependent System: A dependent system of linear equations in two variables has an infinite number of solutions. This means that there is more than one set of values for the two variables that will make all equations true.

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Answer:

$0.40

Step-by-step explanation:

10 lbs  ÷ 10 = 1 lb

---------   =    ---------

$4.00 ÷ 10  = $0.40

Answer: n=6, m=12

Step-by-step explanation:

Since the triangle is a 30-60-90 triangle, the ratio of its sides is [tex]2 : \sqrt{3} : 1[/tex].

Since one side is 6[tex]\sqrt{3}[/tex], n is 6 and m is 12, according to the ratio.

We can solve this using sin/cos/tan, too.

The equation of the line that has an undefined slope and passes through the point (4, 7) is y = 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know if a line has an undefined slope it is parallel to the y-axis and passes through the point (4, 7).

As it is parallel to the y-axis x-coordinate point remains the same.

So, The equation of the line must be, y = 4.

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The rate of change of a horizontal line is zero, this is because it does not rise vertically (i.e. y1 − y2 = 0).

A rate of change of a horizontal line is the same as its slope, which is the change in y over the change in x, or rise over run.

For the horizontal line that is shown in the graph below, the rate of change for this line is 0, and this can be confirmed by utilizing the slope calculation method.

This makes sense because the change in y of the line is zero, which means it it does not rise vertically (i.e. y1 − y2 = 0).

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The slopes for the given pairs are:

If a line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is given by:

a = (y₂ - y₁)/(x₂ - x₁)

Using the first pair of points (9, 10) and (7, 2) the slope is:

s = (2 - 10)/(9 - 7)

s = -8/2 = -4

For the second pair:

(5, -6) and (2, 3)

Here the slope is:

s = (3 + 6)/(2 - 5)

s = 9/3 = -3

The last pair of points is (4,7) and (6, 2) the slope is:

s = (2 - 7)/(6 - 4)

s = -5/2

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The trapezoid's area if its height is 8 is 156.

Trapezoid area is the area of a four-sided flat shape with two sides that are parallel. It is a type of quadrilateral with two non-parallel sides. To calculate the area of a trapezoid, you need to multiply the sum of the lengths of the two parallel sides by the height of the trapezoid and then divide by two. The formula for trapezoid area is A = (a + b) * h / 2, where a and b are the lengths of the two parallel sides and h is the height of the trapezoid.

The area of a trapezoid is calculated by multiplying the height by the average of the two bases. Therefore, the area of the trapezoid in question is 8 multiplied by the average of 12 and 27, which is 19.5. The final answer is then 156.

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