Francis bought 2 video games for $29.95 each and 1 DVD for $9.95. If the sales tax is 8%, what is the total cost of Francis's purchases?
O $40.70
O $43.09
O $70.65
O $75.44

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Given the shaded area of 63 square units, and the lengths of the bases and the right angle side, we can set up an equation using the formula for the area of a trapezoid. By solving this equation, we find that x is equal to 11.

Let's analyze the given information step by step to find the value of x.

We have a rectangle with two bases, one measuring 7 units and the other measuring x units. Additionally, there is a right angle formed with side x, which means that the height of the trapezoid is also 7 units. We are told that the area of the shaded section is 63 square units.

The formula to calculate the area of a trapezoid is (base1 + base2) * height / 2. Applying this formula to our situation, we can write the equation as (7 + x) * 7 / 2 = 63.

Simplifying the equation, we have (7 + x) * 7 = 126.

Expanding, we get 49 + 7x = 126.

Subtracting 49 from both sides, we have 7x = 77.

Dividing both sides by 7, we find x = 11.

Therefore, the value of x is 11.

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To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

<95141404393>

Answer:

c=-4

Step-by-step explanation:

14=-2c-6-3c

14=-5c-6

20=-5c

-4=c

Answer:

38.7165 rounded to the nearest thousandth is 38.717

113.10

Hope this help and please mark brainiest.

Answer: 18

Step-by-step explanation:

Distribute that negative sign like a -1 to get:

-16 + 34 = 18

Answer:

y = - \(\frac{3}{2}\) x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 0 ) and (x₂, y₂ ) = (0, 3 )

m = \(\frac{3-0}{0-2}\) = \(\frac{3}{-2}\) = - \(\frac{3}{2}\)

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \(\frac{3}{2}\) x + 3 ← equation of line

Answer:

this is the answer

681,474

Answer:

The distance between A and A' is:

\(distance=\sqrt{20}\)

Step-by-step explanation:

Notice that point A' after the given translation becomes: (-2+4, 3+2) = (2, 5),

So one can calculate the distance between A (-2, 3) and A' (2, 5) using the distance formula:

\(distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\distance=\sqrt{(2-(-2))^2+(5-3)^2} \\distance=\sqrt{(4))^2+(2)^2} \\distance=\sqrt{(16+4} \\distance=\sqrt{20}\)

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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Step-by-step explanation:

Several ways in which television can disrupt or alter sleep patterns:

People who don't watch Television won't have these problems.

The inequality is 37.5x + (0.05 ×100) ≤ 200, and Alyssa can afford 5.2 days to rent while staying within her budget

Given that:

A rental car company charges $37.50 per day to rent a car and $0.05 for every mile driven

She plans to drive 100 miles and has at most $200 to spend.

x is the number of days Alyssa can afford to rent while staying within her budget

The inequality can be written as:

37.5x + (0.05 ×100) ≤ 200

Let's solve for x:

37.5x + (0.05 ×100) ≤ 200

37.5x + 5 ≤ 200

37.5x  ≤ 200 - 5

37.5x  ≤ 195

x  ≤ 195/37.5

x ≤  5.2

Therefore, Alyssa can afford 5.2 days to rent while staying within her budget

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An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Answer:   2 x 4

Reason:

There are 2 rows and 4 columns. The number of rows is listed first, followed by an "x", then the number of columns is listed.

The pοlynοmial functiοn with a fifth degree, 2 as a zerο οf multiplicity 4, −3 as the οnly οther zerο, and a leading cοefficient οf 2 is:

\(f(x) = 2(x-2)^4(x+3) = 2x^5 - 32x^4 + 192x^3 - 384x^2 + 216x + 1080\)

What is Polynomial Function?

A pοlynοmial functiοn is a mathematical functiοn οf the fοrm \(f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0\), where the coefficients\(a_n, a_{n-1}, ..., a_1, a_0\) are constants, x is the variable, and n is a non-negative integer. It is a functiοn that can be graphed as a smοοth curve with nο breaks οr jumps.

If 2 is a zerο οf multiplicity 4, then the pοlynοmial functiοn must have the factοr\((x-2)^4\).

If −3 is the οnly οther zerο, then the pοlynοmial functiοn must alsο have the factοr (x+3).

The pοlynοmial functiοn with these properties and a leading cοefficient οf 2 can be written as:

\(f(x) = 2(x-2)^4(x+3)\)

Expanding this polynomial gives:

\(f(x) = 2x^5 - 32x^4 + 192x^3 - 384x^2 + 216x + 1080\)

Therefore, the polynomial function with a fifth-degree, 2 as a zero of multiplicity 4, −3 as the only other zero, and a leading coefficient of 2 is:

\(f(x) = 2(x-2)^4(x+3) = 2x^5 - 32x^4 + 192x^3 - 384x^2 + 216x + 1080\)

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Answer:

1. (10,-4)

2. 12

3. 108

Step-by-step explanation:

First find the cordinate by seing were the point lands on the graph

sense it is +10 right the x = 10, and it is 4 below the origin making it a negitive 4, so u get (10,-4)

The graph is measured 2 units per box and sence the sides are parallel to the axies you can count each square by 2, giving you the measuers of 12 units.

Now finally, The area of a triangle is A=1/2bh, we arlready have our base, and we just found our hight, so now we just have to plug it in.

A= 1/2 (12) (18)

12*18 = 216

A= 1/2 (216)

A= 108

And we are done!

Answer:4

Step-by-step explanation:

2+2 is 4

Answer:

9065

Step-by-step explanation:

A Four digit Number

sum of A+B=6

Hundreds Place is 9 lesser than thousand Place

2 Middle Number remove = 95

Thousand= 9

Hundreds = 0

Tens=6

Ones=5

Answer:

here you go

Step-by-step explanation:

0+6 = 6

remove two middle numbers i become 95 which means the two outer numbers are 9 and 5

answer is 9065

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

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Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

The slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line passes through points (8, 7) and (4, 5). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 5 - 7 ) / ( 4 - 8 )

Slope = -2 / -4

Slope = 1 / 2

Calculate the y-intercept,

y = mx + c

5 = 1 / 2 x 4 + c

c = 5 - 2 = 3

The equation is written as,

y = mx + c

y = 1/2x + 3

Therefore, the slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.

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Answer:

20.75 Absolute change

Step-by-step explanation:

Different arrangements of the display are possible is 2520.

Given:

the artist r. locklen jones selects 5 paintings from a collection of 7 to display in a row.

Permutation :

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

= \(7_P_5\)

we know that,

\(n_P_r\) = n! / ( n - r ) !

\(7_P_5\) = 7! / ( 7 - 5 ) !

= 7! / ( 2 ) !

= 7! / 2!

= 7 * 6 * 5 * 4 * 3 * 2! / 2!

= 42 * 20 * 3

= 840 * 3

= 2520

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\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The required additional information required to prove the Triangles congruent are :

\(\qquad \sf  \dashrightarrow \: 1. \: X V= FD\)

The Triangles will be congruent by HL congruency.

\(\qquad \sf  \dashrightarrow \: 2. \: MH = MI\)

The Triangles are congruent by LL congruency.

\(\qquad \sf  \dashrightarrow \: 3. \: \angle EDC = \angle VUC\)

The Triangles are congruent by HA congruency.

\(\qquad \sf  \dashrightarrow \: 4. \: \angle J = \angle C\)

The Triangles are congruent by LA congruency.

Answer:

A.

Step-by-step explanation:

the blue is f(x) and red is g(x) as you can see the numbers and it reflects over the x-axis.

Answer:

40

Step-by-step explanation:

simple just 8 times 5

Answer:

yea 40

Step-by-step explanation:

its like regular multiplication don't overthink it