A dress that is regularly priced $80 is on sale for 30% off. What is the sale price of the dress?

Answer:

Table and graph attached

Step-by-step explanation:

Graph of a Function

Given a real function f(x), we can construct its graph by taking random values for x, computing f(x) for each selected value, and plotting the pairs (x,f(x)) in a rectangular grid. By joining the points we get an approximate graph.

It's not always easy to find an appropriate set of values for x which makes the important part of the graph be clearly shown in the graph. We select the range for x between -30 and +70. The results are shown in the table below.  

The graph is also shown in the second image provided.

Side length = 16.7 cm

Solution:

Perimeter of a square given = 66.8 cm

In a square four sides are equal.

The perimeter of a square = 4 × side

⇒ 4 × side = 66.8 cm

Divide both sides of the equation by 4 to equal the expression.

⇒ side = 66.8 ÷ 4

⇒ side = [tex]\frac{66.8}{4}[/tex]

⇒ side = 16.7 cm

Hence, the side length of the square is 16.7 cm.

Answer:

16 oatmeal cookies.

Step-by-step explanation:

Answer:

The answer is A. Because 11/9 is greater than 1, the product of 4/5 and ​11/9 ​is greater than ​4/5

9/9 is exactly 1. 11/9 is greater than 9/9, so 11/9 is greater than 1. If I added 4/5, the answer is larger than 11/9, therefore the answer is A.

Answer:

A. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is greater than 4/5

Step-by-step explanation:

Hope this helps!

Answer:

It would be 78.40 if it increase and decreases from its original price

Answer: the answer should be

72

Step-by-step explanation:

1. 80 x 0.18 or 18%=14.4

2. 14.4 divided by 0.20 or 20%=72

Answer:

y=-4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3y+14−2=0

3y+14+(−2)=0

(3y)+(14+(−2))=0 (Combine Like Terms)

3y+12=0

3y+12=0

Step 2: Subtract 12 from both sides.

3y+12−12=0−12

3y=−12

Step 3: Divide both sides by 3.

3y/3= −12/3

y=−4

Answer:

y=−4

Answer: B is the answer

Step-by-step explanation:

Answer:

W = -9/8

Step-by-step explanation:

for two perpendicular lines

W*V = -1

W = 9/8*(-1)

W= -9/8

Final answer:

The slope of line W, which is perpendicular to line V with a slope of 8/9, is -9/8.

Explanation:

The slope of a line perpendicular to another in a two-dimensional plane is the negative reciprocal of the original line’s slope. Given that line V has a slope of 8/9, the slope of the perpendicular line W would be -9/8. This is because the product of the slopes of two perpendicular lines is -1 (negative one). Therefore, the slope of the line W, which is perpendicular to V, is -9/8.

Answer:no it's not because bias Is your opinion ( like if you say dogs are the best that's your opinion only

Step-by-step explanation:

Answer:

Excluding women with children from the selection process of the survey

Step-by-step explanation:

The correct answer is: Excluding women with children from the selection process of the survey.

Answer:-42

Step-by-step explanation:

-12*7/2

Is also represented like this

-12/1*7/2 proper fraction

Multiple -12*7 and divide by 2

-84/2= -42

Answer:

Using BIDMAS the answer equates to -42.

Step-by-step explanation:

Answer:

P=30

Step-by-step explanation:

width = x

length = 2x

2x^2=50

/2       /2

x^2=50

[tex]\sqrt{x^{2} }[/tex] = [tex]\sqrt{25}[/tex]

x=5

width=5

length=10

2width + 2length = Perimeter

10+20=P

30=P

Final answer:

The width of the rectangle is determined to be 5 feet using the area formula, leading to a length of 10 feet. The perimeter is then calculated using the sum of twice the length and twice the width, resulting in a perimeter of 30 feet.

Explanation:

To solve for the perimeter of a rectangle where the area is 50 square feet and the length is twice the width, we first use the given information to set up an equation. Let the width be w feet. Therefore, the length will be 2w feet. The area A of a rectangle is given by the formula A = length times width, so in this case, A = 2w times w = 50.

Solving for w, we have w² = 25, which gives us w = 5 feet. The length, therefore, is 2 times 5 = 10 feet. The perimeter P of a rectangle is given by P = 2 times (length + width), so the perimeter of this rectangle is P = 2 times (10 + 5) = 30 feet.

Answer:

Nearest hundred: 0

Nearest hundredth: 26.35

Step-by-step explanation:

The hundred place value is three numbers to the left of the dot.

The two hundreds that are nearest to 26.35 are 0 and 100. To decide if you should round up (to 100) or round down (to 0), use the place value that is to the right of the hundred place: the number you are using is 2.

The rule for rounding:

Round up if the place value is 5 or more

Round down if the place value is 4 or less

Since 2 is "4 or less", round down to 0.

Since 26.35 is closer to 0 than 100:

26.35 => 0 when rounded to the nearest hundred

In case you meant hundredth:

The nearest hundredth means two decimal places, or two numbers right of the dot.

The number 26.35 already has two decimal places, so rounded to the nearest hundredth is still 26.35.

26.35 => 26.35

Answer:

its the third one

Answer:

A) A 90 degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Step-by-step explanation:

The formula to do a 90 degree counterclockwise rotation is (x, y) to (y, -x) so if the ordered pair is (5, 3) and you were to rotate it counterclockwise it would be (3, -5). Once you do this to all of the values, you are one unit to the right of what you should be, so then you would have to translate it 1 to the left in order to match up both of the trapezoids.

The endpoints C and D has no midpoint M.

Step-by-step explanation:

step 1: The given endpoints of C and D are (-4,10) and (-4,10)

step 2: Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)

step 3: Here, C(-4,10) = (x1,y1)

                      D(-4,10) = (x2,y2)

step 4: The midpoint represents the half distance of the line CD. Since C and D are same points, they cannot form a line. Therefore, the endpoints CD have no midpoint.

Answer:

Y= -2x +8

Step-by-step explanation:

We know the line is perpendicular so the slope is negative inverse of 1/2, which is -2.

Now to find b, plug into equation

Y= -2x+ b

2= -2(3) +b

2= -6+ b

2+6= b

8=b

Answer:

-2x+8

Step-by-step explanation:

Answer:

1.50$

Step-by-step explanation:

2 hamburgers would equal 3$ and if the hot dogs are 1$ each it woul make the equation true

To find the price of a hamburger, set up a system of equations and solve for the price using the given information. So, the price of a hamburger is $2.50

To find the price of a hamburger, we can set up a system of equations based on the given information.

Let x be the price of a hamburger.

From the first scenario, we have 2x + 5(0.50) = 8.00.

From the second scenario, we have 5x + 2(0.50) = 9.50.

Simplifying these equations gives us 2x + 2.50 = 8.00 and 5x + 1.00 = 9.50.

Solving these equations, we find that x = $2.50.

Therefore, the price of a hamburger is $2.50.

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To simplify the expression 8.4(7x-4)+3.9, distribute 8.4 to both terms inside the parentheses and then add 3.9, resulting in 58.8x - 29.7.

The problem 8.4(7x-4)+3.9 requires simplification by applying the distributive property and then combining like terms. First, multiply 8.4 by both 7x and -4, and then add the constant 3.9 to the result.

Answer:

[tex]\large\boxed{6x^3-33x^2+45x-6}[/tex]

Step-by-step explanation:

[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(3x-6)(2x^2-7x+1)\\\\=(3x)(2x^2)+(3x)(-7x)+(3x)(1)+(-6)(2x^2)+(-6)(-7x)+(-6)(1)\\\\=6x^3-21x^2+3x-12x^2+42x-6\qquad\text{combine like terms}\\\\=6x^3+(-21x^2-12x^2)+(3x+42x)-6\\\\=6x^3-33x^2+45x-6[/tex]

Answer:

With compass setting the same as line segment PA, place the compass

at C and draw an arc that intersects the circle ⇒ answer D

Step-by-step explanation:

Lets revise the step of construction a regular hexagon

1. Draw circle with center P; put point A on the circle's edge at

any place

2. With compass setting the same as line segment PA, place the

compass at A and draw an arc that intersects the circle at B

3. With compass setting the same as line segment PA, place the

compass at B and draw an arc that intersects the circle at C

4. With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle at D

5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon

The given steps are:

Circle with center P; point A is along the circles edge, an arc at point B

is along the circles edge, and an arc at point C is along the circles edge

According to the steps above, the next step is:

With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle (step 4)

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The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Given that,

To determine the next step in the construction of a regular hexagon.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.

Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

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Answer:

The Proof for  "Equal chord of a circle subtends equal angle at the Center".

Step-by-step explanation:

Consider a Circle with center as C,

Radius AC ,BC ,DC and EC

Chord AB = Chord CD

To Prove:

"Equal chord of a circle subtends equal angle at center".

i.e ∠ACB = ∠ECD Which are Center angle

Proof:

In  Δ ABC and Δ DEC

Chord AB ≅ Chord DE     .….{Given}

AC ≅ DC                           …..{Radius of Same Circle}

BC ≅ EC                           ….{Radius of Same Circle}

Δ ABC ≅ Δ DEC               ….{By Side-Side-Side Congruence Postulate}

∴∠ACB ≅ ∠ECD  ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved

i.e Equal chord of a circle subtends equal angle at the Center.

Answer:

n ≥ -17

Step-by-step explanation:

Writing a symbolic inequality, we get:

10 - 3n ≤ 61

Solve this for 3n by adding 3n to both sides of this equation:

10 ≤ 61 + 3n

Solve for n by subtracting 61 from both sides and then dividing all of the resulting terms by 3:

-51 ≤ 3n (divide both sides by 3):

-17 ≤ n, or

n ≥ -17

Answer:

y = 7 and x = 6

Step-by-step explanation:

15x-4y=62 ---------------------------(i)

5x+8y=86-----------------------------(ii) X 3

15x+24y=258---------------------------(iii)

(iii)-(i)

28y = 196

y = 7

Sub. for y in (I) to get x

x = 6

Final answer:

The system of equations 15x - 4y = 62 and 5x + 8y = 86 is solved using the method of elimination, yielding the solution x = 6 and y = 7.

Explanation:

We are asked to solve a system of equations:

We will use the method of elimination to solve this system, which involves manipulating the equations so that adding or subtracting them will eliminate one of the variables, allowing us to solve for the other.

Therefore, the solution to the system of equations is x = 6 and y = 7.

Answer:

2 1/2 hours

Step-by-step explanation:

1. multiply 12 by 2 to get 24

2. divide 12 by 2 to get 6 mph (miles per hour)

3. Add the 6 and 24

Answer:

55%

Step-by-step explanation:

its honestly just a guess

5 is bigger because its right of your number line and it isn’t -8 because it below 0 and left of the number

Answer:

ok so im going give the equation to fiqure this along with the awnser,

the basic equation is A=P (1+R/N)N(T)

P= Principle (Starting amount)

R= Interest rate

N= Amount of time compounded PER YEAR  

T= amount of years

Step-by-step explanation:

so this would be A=$7500 (1+ 0.055/12)12(3)

which come to A=$7500 (1.178948602)

which comes to a total of $8842.11

hope this helps

Final answer:

The balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be approximately $8863.52 after 3 years.

Explanation:

The question involves the concept of compound interest, more specifically how much the balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be in 3 years. To calculate this, we use the compound interest formula: A = P(1 + r/n)^(nt), where:

For the given problem:

We can substitute the values into the formula:

A = 7500(1 + 0.055/12)^(12*3)

Calculating this out, we find:

A = 7500(1 + 0.0045833)³⁶

A = 7500(1.0045833)³⁶

A = 7500(1.1811360235)

A = $8863.52 (approximately)

Therefore, the approximate balance of the savings account after 3 years will be $8863.52.

Answer:

20% of 600 is 120

Step-by-step explanation:

We shall use X as the variable

20% of x is 120

To find 20 percent of something, divide by 5.

Alternatively, you can find 10% of it then multiply by two.

600÷5 is 120

We see that 20% of 600 is 120

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x^2-4x+3}{x^2+x-12}[/tex]

Factorise the numerator and denominator

x² - 4x + 3 = (x - 1)(x - 3)

x² + x - 12 = (x + 4)(x - 3), thus

= [tex]\frac{(x-1)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator/denominator

= [tex]\frac{x-1}{x+4}[/tex] → A

Rational expression are written as fractions. The simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

Rational expression are written as fractions.

Given the rational expression

[tex]\dfrac{x^2-4x+3}{x^2+x-12}[/tex]

Factorize the numerator and denominator

[tex]=\dfrac{x^2-4x+3}{x^2+x-12}\\=\dfrac{x^2-3x-x+3}{x^2+4x-3x-12}\\=\frac{(x-3)(x-1)}{(x+4(x-3)} \\=\frac{x-1}{x+4}[/tex]

Hence the simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

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Answer:

$20.40 is the sales tax if she lives in Ohio where the sales tax rate is 5 percent.

Step-by-step explanation: