A family buys 4 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $752. Let x represent the price of one ticket.

\What equation represents this problem?

What is the price of one ticket?

Answer:

A house has decreased in value by 24% since it was purchased, that means the current value is 24% less than the value when it was purchased.

To find the original value, we can use the following formula:

Original Value = Current Value / (1 - (Decrease % / 100))

where the decrease is expressed as a decimal, thus 24% is 0.24

Original Value = $209,000 / (1 - 0.24)

Original Value = $209,000 / 0.76

Original Value = $275,000

So the original value when it was purchased is $275,000

The graph that represents the inequality 5y≤10 is plotted below.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The given inequality is 5y≤10.

In a graph of an inequality, the symbols (<,>) are represented using a dotted line and the symbols (≤,≥) are represented using a straight line.

So, the graph of inequality 5y≤10 will have a straight line.

Now, writing the inequality 5y≤10 in slope-intercept form y = mx + b -

5y = 10

5y = 0x + 10

Substituting the values of x and y with origin (0,0) -

5(0) = 0(0) + 10

0 = 10

Putting the inequality symbol back -

0 ≤ 10

Since, 0 ≤ 10 is true hence the shaded region of graph will cover the origin.

On solving 5y = 10  -

y = 2

Hence the points of the inequality will be (0,2).

Therefore, the graph for the inequality 5y≤10 is plotted.

To learn more about inequality from the given link

brainly.com/question/28230245

#SPJ1

Order of numbers from least to greatest is -2.14<|-2.8|<3.2. Therefore, the option D is the correct answer.

Numerical order is a way of arranging a sequence of numbers. This could be in ascending or descending order.

Ascending order: Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.

The given numbers are -2.14, √10, |-2.8|.

Here, √10=3.2

Order of numbers from least to greatest is

-2.14<|-2.8|<3.2

Therefore, the option D is the correct answer.

Learn more about the order of an integers visit:

https://brainly.com/question/13115394.

#SPJ1

The length of the rectangle is 10ft and width of the rectangle is 7ft.

What is area of rectangle?

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.

According to the question

Length = 3(width)-11

=> l = 3w-11.

Now area of rectangle = lw

=> 70 = (3w-11)(w)

=> [tex]3w^2-11w=70[/tex]

=> [tex]3w^2-11w-70=0[/tex]

=> [tex]3w^2+10w-21w-70=0[/tex]

=> (3w+10)(w-7)=0

=> w= 7 ft

Then length l = 3(7)-11=21-11 = 10 ft.

Hence the length of the rectangle is 10ft and width of the rectangle is 7ft.

To learn more about area of rectangle refer the below link

https://brainly.com/question/2607596

#SPJ1

Answer:

Solution in attached photo.

Step-by-step explanation:

The solution is attached as a photo. This Question tests on the concept of Angle Properties.

Properties required:

1) Angles in a straight line sums up to 180°.

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

Learn more about equivalent fraction here:

https://brainly.com/question/29775885

#SPJ1

Step-by-step explanation:

5f = 160+9c

f = {160+9c} ÷ 5

The perimeter of one of the equilateral triangles in the window is equal to 12 feet.

An interior angle of an equilateral triangle measures 60°, hence by considering the right triangle LNX and the sine of angle X = 60°, we will derive one of the side lengths of the equilateral triangle as follows:

sin 60° = 2/XL {opposite/hypotenuse}

1/2 = 2/XL {sin 60° = 1/2}

XL = 2 × 2 {cross multiplication}

XL = 4 feet

All side length of an equilateral triangle are equal so;

one of the triangles perimeter = 3 × 4 feet

one of the triangles perimeter = 12 feet

Therefore, the perimeter of one of the equilateral triangles in the window is equal to 12 feet.

Know more about triangle here:https://brainly.com/question/1399707

#SPJ1

The described graph crossing the y-axis at (0, negative 6) has f(0) at

The y - intercept is calculated by substituting the value of x as zero.

For a graph, when the curve passes through the y axis, the point is the y intercept.

On a coordinate axis the points are represented using ordered pairs of the form (x, y). For an equation, this is represented as f(x) = y

Because of this, the points (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0) are f(-2) = 0, f(-1) = 0, f(1) = 0, and f(3) = 0, are the x intercepts

The y intercept in the problem is (0, negative 6), represented in equation form as

f(0) = -6

Learn more about functions at:

https://brainly.com/question/10439235

#SPJ1

Yes, after 3 hours the level of water in both tanks will be equal.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the stingray tank contains 6 inches of water. the Shark tank is empty. each hour, 4 inches of water are added to the stingray tank and 6 inches are added to the shark tank.

The time at which both the tanks will have the same level will be calculated as;-

4x + 6 = 6x

6x - 4x = 6

2x = 6

x = 3 hours

Level = 6x = 6 x 3 = 18 inches

To know more about an expression follow

https://brainly.com/question/23264144

#SPJ1

The information related to the quadratic equation is given below.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

It is in the form of ax² + bx + c

So,

We can recognize a quadratic equation if the highest power of the equation is two.

Now,

The methods that can be used to solve are:

Middle-term factorization.

Example:

x² + 2x + 1

x² + (1 + 1)x + 1

x² + x + x + 1

x(x + 1) + 1(x + 1)

(x + 1) (x + 1)

Using the determinant formula.

ax² + bx + c

x = [-b ± √(b² - 4ac)] / 2a

Now,

The number of solutions is equal to the degree of the quadratic equation.

Now,

The discriminant of a quadratic equation is [-b ± √(b² - 4ac)] / 2a.

Where ax² + bx + c is the equation.

The discriminant determines the solutions.

Thus,

The information related to the quadratic equation is given above.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ1

Answer:

135.3 yd

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using the Pythagorean theorem, which states that the square of the length of the diagonal (c) is equal to the sum of the squares of the length (a) and the width (b) of the rectangle. So the formula is c = √(a^2 + b^2)

Given the length of the soccer field is 115 yd and the width is 70 yd, we can use the formula:

c = √(115^2 + 70^2)

c = √(13225 + 4900)

c = √(18125)

c = 135.3 yd

Rounding the answer to the nearest tenth we get 135.3 yd

Therefore, the length of the diagonal of a soccer field is 135.3 yd.

the lowest term for the given expression will be 5/4.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The given fractions division is

{1/2 + 1/3} / {1/2 +{1/6}

={5/6}/{4/6}

={5/6}*{6/4}

=5/4

Hence the lowest term for the given expression will be 5/4.

Learn more about arithmetic, by the following link.

https://brainly.com/question/13181427

#SPJ1

Pretty sure it'd be 100°.

Since the triangles are congruent, measurement D = measurement C. This means measurement C = 30°. Also, they give us measurement A, which is 50°. Of triangle CAT, we already know two of its angles. We can add them to see the last measurement of angle T. 30° + 50° = 80°. There is 180° in a triangle, so 180° - 80° = 100°, which gives us our last measurement, T.

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 551

551 is between 550 and 560

555 is the midpoint between 550 and 560

As illustrated on the number line, 551 is less than the midpoint (555)

Therefore, 551 rounded to the nearest ten = 550

551 rounded to the nearest ten with a number line

Answer: 551.36

Step-by-step explanation:

“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.

The room floor has a rectangular dimensions with an area of 48 square metres and it will take 32 metres of the carpet to cover the floor completely without wastage.

The floor has rectangular dimensions 8 m by 6 m such that:

area of the floor = 8 m × 6 m

area of the floor = 48 m²

Since the carpet roll is 1.5 metres wide;

48 m²/ 1.5 m = 32 m

Therefore, it will take 32 meters of the carpet to cover the rectangular floor with 8m by 6m dimensions completely without wastage.

Know more about dimensions here:https://brainly.com/question/19819849

#SPJ1

Answer:

-3+(-2y)

Step-by-step explanation:

Combine the like terms

(-9+6) + (-y-y)

-9+6= -3 -y-y= -y+ -y= -2y

-3+-2y

Answer:

about 2.62 hours

Step-by-step explanation:

add 1.9 and 3.6 twice

11

divide the parameter by 4.2

Answer: either b or c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The translated function is:

⇒ y = 2x + 7

And, The translated point is (-3, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let The original linear function with coordinate is,

⇒ y = 2x + 4   ;

The point is, (1, 6)

Now, To find a point on that line, we can just evaluate the function in x = 1, we will get:

y = 2*1 + 4

y = 2 + 4

y = 6

So, we have the point (1, 6)

Now, we want to translate it 4 units to the left and 5 units down.

So, To translate it 4 units to the left, we need to add 4 to the argument.

⇒ y = 2(x + 4) + 4

And, to translate it  5 units down, we just need to subtract 5, we will get:

⇒ y = 2(x + 4) + 4 - 5

Thus, we can simplify this to get;

⇒ y = 2x + 2×4 + 4 - 5

⇒ y = 2x + 8 + 4 - 5

⇒ y = 2x + 7

Here, The new coordinates of the point are the same as the last ones, but we subtract 4 to the x-value and 5 to the y-value:

⇒ (1 - 4, 6 - 5) = (-3, 1)

Learn more about translations at:

brainly.com/question/24850937

#SPJ1

Answer:

E) [tex]2^{4} * 2^{4}[/tex]

Step-by-step explanation:

By properties of exponents, when multiplying two numbers that have the same base, you can add the exponents. Therefore:
[tex]2^{8}=2^{4} * 2^{4}\\2^{8}=2^{(4+4)}\\2^{8}=2^{8}[/tex]

Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

The original price of the sofa is $540.

What is percentage?

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Here the Cost price of sofa after reduction = $135.

Now here reduction percentage is 75%.

Let us take original price  percentage of sofa is 100%. Then

Here 100%-75%=25% is the cost price after reduction .

=> 25% of original price = 135

=> 25% of x = 135

=> [tex]\frac{25}{100}x =135[/tex]

=> [tex]\frac{135\times 100}{25}[/tex] = 135×4 = $540.

Hence the original price of the sofa is $540.

To learn more about percentage refer the below link

https://brainly.com/question/24877689

#SPJ1

Answer:

To graph h(x) = 7sin(x), we need to plot a set of points that satisfy the equation. To do this, we can pick several values of x, substitute them into the equation and find the corresponding y values.

We can use the fact that h(x) = 7sin(x) = 7sin(x + 2π) = 7sin(x + 4π) = .... = 7sin(x + 2nπ) , for any integer n.

The graph of h(x) = 7sin(x) is a sine function with an amplitude of 7 and a period of 2π.

It oscillates between -7 and 7 and the graph will look like a wave that oscillates between y = -7 and y = 7.

It has a horizontal shift of 2π to the right.

It is not possible to graph the function here but you can easily plot it using a graphing calculator or a program like Desmos.

Step-by-step explanation:

Answer: The crow would have traveled 40 miles per hour faster than the seagull after 5 hours of flight

Step-by-step explanation: (crow) 24 times 5 is 120 (seagull) 16 times 5 is 80, so it’s 120 - 80 which is 40

The temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

After one week, the temperature decreased by 46.8° with a

percent change of 72%.

let,

the temperature at the beginning of the week = x

so, we get,

x= 46.8/72*100

 =65

i.e. the temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

To learn more on percentage click:

brainly.com/question/13450942

#SPJ1

The total amount after 20 years will be $ 1,60,110.6741.

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

Annual interest rate is 2.75%. Hence, the monthly interest rate is 2.75/12

The amount will be compounded (20*12)=240 times.

Every month they deposits $500.

In the first month that deposited $500 will be compounded 240 times.

It will be 500 [1+(2.75/1200) ] ^240

In the second month $500 will be deposited again, this time it will be compounded 239 times.

It will give 500 [1+(2.75/1200) ] ^239

Hence, the total after 20 years will be

500 [1+(2.75/1200) ] ^240 + 500 [1+(2.75/1200) ] ^239 + ..........+500 [1+(2.75/1200) ] ^1 = 1,60,110.6741

To learn more about compound interest from the link

https://brainly.com/question/24274034

#SPJ1

A table which represents a linear relationship that is also proportional include the following:

B. x −2 0 2

   y −3 0 3

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

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

Constant of proportionality (k) = y/x

Constant of proportionality (k) = -3/-2 = 3/2

Constant of proportionality (k) = 3/2.

Read more on proportional relationship here: brainly.com/question/20167968

#SPJ1

Answer: The answer is B

Step-by-step explanation: I took the test and  got it right