Od=125
d) f = 120
11. Melissa is buying a sweater. The original cost of the sweater
is $18.00. The sweater is 15% off, and sales tax is 8%. How
much will the sweater cost?
a) $14.08
O b) $12.24
O c) $16.52
O d) $15.30

Answers

Answer 1

Answer:

Hey there!

The sweater is selling for 85% of the original price

0.85(18)=15.30

1.08(15.30)=16.52

Let me know if this helps :)

Answer 2

The solution is Option C.

The total cost of the sweater is $ 16.52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original cost of the sweater be = $ 18

Let the sales tax percentage be = 8 %

Let the discount of the sweater be = 15 %

So , the equation for the total cost of the sweater is

The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost

The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18

                                                                                = 18 - 0.15 x 18

                                                                                = 18 - 2.7

                                                                                = $ 15.3

Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount

So , the equation is

The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3

                                                                                = 15.3 + 0.08 x 15.3

                                                                                = 15.3 + 1.224

                                                                                = $ 16.524

Hence , the total cost of the sweater is $ 16.52

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Related Questions

A person is buying apples while traveling in Europe. How will the price be mostly likely​ quoted? Choose the correct answer below. A. The price will be quoted in euros per milliliter because the price has unit of euros per unit of volume. B. The price will be quoted in euros per kilometer because because Europe is very​ large, so everything is quoted in kilometers. C. The price will be quoted in euros per milliliter because Europeans use the SI unit system. D. The price will be quoted in euros per kilometer because euros is the currency that is used in Europe. E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight. F. The price will be quoted in euros per kilogram because one apple in Europe weighs one kilogram.

Answers

Answer:

E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Step-by-step explanation:

The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Currency in Europe is Euro

Apple have weight

Volume of apple is measured in kilogram

For instance, if the person is buying 10 kilograms of apples for 20 Euro.

Then the price per kilogram = 20/10

=2 Euro per kilogram

Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)

Answers

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

 

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

just took the FLVS test and got a 100% :)

If h(x)=-(square root) of x-3 (outside square root) plus 5, then what is the value of h(7)?

Answers

Answer:

h(7) = 3

Step-by-step explanation:

h(x) = -[tex]\sqrt{x-3}[/tex] + 5

h(7) = -[tex]\sqrt{(7)-3}[/tex] + 5

h(7) = -√4 + 5

h(7) = -2 + 5

h(7) = 3

Help pls and ty ❤️❤️!!!!!!!!!

Answers

The answer is a is correct

4 - c = -1/3 Can someone pls answer this question ASAP

Answers

4-c=-1/3

3[4-c]= -1

12-3c= -1

12+1=3c

13=3c

c=13/3

c=4 1/3

Simplify the following expression: (sin x + cos x)^2

Answers

Answer:

1 + sin2x

Step-by-step explanation:

Given

(sinx + cosx)² ← expand using FOIL

= sin²x + 2sinxcosx + cos²x

[ sin²x + cos²x = 1 and sin2x = 2sinxcosx ]

= 1 + sin2x

Answer:

[tex]1 + 2 \times \sin(x ) \times \cos(x) [/tex]

Step-by-step explanation:

[tex]( \sin(x) + \cos(x) \: )^{2} [/tex]

By expanding it , we get

[tex] { \sin }^{2} x \: + { \cos }^{2} x \: + \: 2 \times \sin(x) \times \cos(x) [/tex]

we know that

[tex] { \sin}^{2} x + { \cos }^{2} x = 1[/tex]

so,

[tex] { \sin }^{2} x + { \cos}^{2} x + 2 \times \sin(x) \times \cos(x) = 1 + 2 \times \sin(x) \times \cos(x)[/tex]

5(3-x)-2 (4-3x)=11-2 (x-1)​

Answers

Answer:

x = 2

Step-by-step explanation:

Solve for x:

5 (3 - x) - 2 (4 - 3 x) = 11 - 2 (x - 1)

5 (3 - x) = 15 - 5 x:

15 - 5 x - 2 (4 - 3 x) = 11 - 2 (x - 1)

-2 (4 - 3 x) = 6 x - 8:

6 x - 8 - 5 x + 15 = 11 - 2 (x - 1)

Grouping like terms, 6 x - 5 x - 8 + 15 = (-5 x + 6 x) + (15 - 8):

(-5 x + 6 x) + (15 - 8) = 11 - 2 (x - 1)

6 x - 5 x = x:

x + (15 - 8) = 11 - 2 (x - 1)

15 - 8 = 7:

x + 7 = 11 - 2 (x - 1)

-2 (x - 1) = 2 - 2 x:

x + 7 = 2 - 2 x + 11

Grouping like terms, -2 x + 2 + 11 = (11 + 2) - 2 x:

x + 7 = (11 + 2) - 2 x

11 + 2 = 13:

x + 7 = 13 - 2 x

Add 2 x to both sides:

2 x + x + 7 = (2 x - 2 x) + 13

2 x - 2 x = 0:

2 x + x + 7 = 13

Grouping like terms, 2 x + x + 7 = (x + 2 x) + 7:

(x + 2 x) + 7 = 13

x + 2 x = 3 x:

3 x + 7 = 13

Subtract 7 from both sides:

3 x + (7 - 7) = 13 - 7

7 - 7 = 0:

3 x = 13 - 7

13 - 7 = 6:

3 x = 6

Divide both sides of 3 x = 6 by 3:

(3 x)/3 = 6/3

3/3 = 1:

x = 6/3

The gcd of 6 and 3 is 3, so 6/3 = (3×2)/(3×1) = 3/3×2 = 2:

Answer: x = 2

plz see the attachment

Which number is a solution of the inequality 8 – 14b ≥ 27?

Answers

Answer:

[tex]b\leq -\frac{19}{14}[/tex]

Step-by-step explanation:

First, write out the equation as you have been given it:

[tex]8-14b\geq 27[/tex]

Now, subtract 8 from both sides:

[tex]8-8-14b\geq 27-8\\-14b\geq 19[/tex]

Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:

[tex]\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}[/tex]

The highest solution to the inequality is -19/14, and any number lower will also work.

help please:))))))))))))))))

Answers

Answer:

B?

Step-by-step explanation:

2 are colored left to right, and 5 down

2/3 of the chart is taken up

Answer:

Hey there!

The correct answer would be C (Third one from the left).

The width is 2/5 (two out of five) and the length is 2/3 (two out of three)

Let me know if this helps :)

A square region has a population of about 200,000 people and a population density of about 1650 people per square kilometer. Find the side length of the square region to the nearest kilometer.

The side length of the square region is about ___ kilometers.​

Answers

Answer:

The side length of the square region is about 181,166 kilometres.

Step-by-step explanation:

population density = no. of people / area of region

given

population = 200,000

population density = 1650 people per square kilometers

1650 = 200,000/area of region

=> area of region = 1650*200,000 = 330,000,000

given that region is square in shape

area of square = side^2

side^2 =  330,000,000

side = [tex]\sqrt{ 330,000,000} = 181165,90[/tex]

The side length of the square region is about 181,166 kilometres.

If the grass in Jamie’s yard grew 16 centimeters in 10 days and it was growin at a constant rate. How many days did it take the grass to grow 1 centimeter How many centimeters did the grass grow in one day

Answers

Answer: See below

Explanation:

Find how many days it grow 1 cm

16 cm = 10 days

1 cm = 10/16 days
1 cm = 5/8 days

Find how many cm it grows in 1 day:

16 cm = 10 days
16/10 cm = 1 day
8/5 cm = 1 day

Therefore, it take 5/8 day to grow 1 cm and in 1 day it grows 8/5cm.

(sin x) (2 sin x cos x)​

Answers

Answer:

(sinx) (sin2x)

Step-by-step explanation:

2 sinx cosx = sin 2x

Solve x2 + 2x =1 for x by completing the square.

Answers

The quadratic formula is:

[tex]y = ax^{2} + bx + c[/tex]

To complete the square, take half of the b coefficient and square it. Zero it out in the equation by adding and subtracting it. Use the order of operations (PEMDAS) and solve for x.

I hope this helps. Let me know if you want me to clarify anything or if you have any questions!

The solution of the given quadratic equation is x = -1 ±√2

What is a solution for a quadratic equation?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called the solution of quadratic equation f(x) = 0. This solution gives values of x, also when we plot x and f(x), we will see that the graph intersects the x-axis at its solution points.

The quadratic formula is given as;

x² + 2x =1

Then its solutions are given as;

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \dfrac{-2 \pm \sqrt{2^2 - 4(-1)}}{2}\\\\x = \dfrac{-2 \pm \sqrt{4 + 4}}{2}\\\\\\x = \dfrac{-2 \pm \sqrt{8}}{2}\\\\x = \dfrac{-2 \pm 2\sqrt{2}}{2}\\\\\\x = \dfrac{-1 \pm 1\sqrt{2}}{1}[/tex]

Therefore, the solution is x = -1 ±√2

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What is this one Im unsure how to put this one

Answers

Answer:

70 DDegrees

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

Since the angle opens from the right, we need to measure from the right. Reading the protractor from the right, we can see that the angle measures 70 degrees.

What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2) Over y EndFraction 3One-half 6 6One-sixth 12

Answers

Answer:

6

Step-by-step explanation:

Given the expression [tex]\frac{2-y}{4+y} + \frac{3(y+2)}{y}[/tex], we are to look for the value of the expression when y = 2. To do that we are going to substitute y as 2 into the given expression and simplify the resulting expression as shown.

[tex]f(y) = \frac{2-y}{4+y} + \frac{3(y+2)}{y}\\\\if \ y = 2;\\\\f(2) = \frac{2-2}{4+2} + \frac{3(2+2)}{2}\\\\f(2) = \frac{0}{6} + \frac{3(4)}{2}\\\\\\f(2) =0 + \frac{12}{2}\\\\\\f(2) = 6[/tex]

Hence the value of the expression when y = 2 is 6

Answer:

The answer is 6

How you get this answer is by plugging in the number 2 in as y and following the order of operations.

What is: -(-8)+6-(-5) equal?​

Answers

The answer would be 19, I hope this helps!!

help meeee plzzzzzzz​

Answers

The answer is C because 5+85 is 90 and a complementary needs to add up to 90 degrees

I need help X=? angle TGH=?

Answers

Answer:

x = 11

m<TGH = 82

Step-by-step explanation:

m<TGH + m<FGT = m<FGH

6x + 16 + 42 = 11x + 3

6x + 58 = 11x + 3

-5x = -55

x = 11

m<TGH = 6x + 16 = 6(11) + 16 = 82

Find the lowest number between 200 & 500 which leaves a reminder of three in each case when divided by 8,10,12&30. Also I want the whole formula

Answers

I’m not sure so can you

11 + (3)(9) Step 1: 11 + (9)(3) Step 2: (11 + 9)(3) Step 3: 20(3) Step 4: 60 Analyze the work to find the error. In Step 1, the commutative property of multiplication was not done correctly. In Step 2, the associative property cannot regroup addition and multiplication. In Step 3, the multiplication must be done first In Step 4, the product is incorrect.

Answers

Answer:

This is the answer In Step 2, the associative property cannot regroup addition and multiplication.

Step-by-step explanation:

Hope this helped.

Answer:

In Step 2, the associative property cannot regroup addition and multiplication.

Step-by-step explanation:

            11 + (3)(9)

Step 1: 11 + (9)(3)

Step 2: (11 + 9)(3)                      <- wrong

Step 3: 20(3)

Step 4: 60

hope this help!

Find the distance between (-3,5) and (6,4). Round your answer to the nearest hundredth.

Answers

Answer:

d=√ 82=9.1

Step-by-step explanation:

Help me please having trouble!?

Answers

2+2=4 2 X 2 = 4 2 X 3 = 6

PLEASE HELP Which of the following expressions is equal to-4x^2-36? A:(-4x-9i)(x-4i) B:(-4x+9i)(x-4i) C:(-4x-12i)(x+3i) D:(-4x+12i)(x+3i)

Answers

Answer:

C is equal to -4[tex]x^{2}[/tex] - 36

Step-by-step explanation:

C: ( -4x -12) ( x + 3)= multiply -4x × x = -4[tex]x^{2}[/tex]= multiply -4x × 3 = -12x= multiply -12 × x = -12x= multiply -12 × 3 = -36= -4[tex]x^{2}[/tex] -24x -36, simplified to (-4[tex]x^{2}[/tex] - 36)

Which ordered pair is a solution to the following linear system? y = x y = –x
A (0, 0)
B (0, 1)
C (1, 1)
D (1, 0) ​

Answers

Answer:

A (0, 0).

Step-by-step explanation:

y = x

y = -x

Therefore x = -x.

x + x = 0

x = 0

and y = x = 0.

Answer:

Which ordered pair is a solution to the following linear system?

y = x

y = –x

(1, 1)

(0, 1)

(1, 0)

Correct Answer

(0, 0)

Step-by-step explanation:

just did this on a test.

It took a skydive 6 seconds to drop 720feet. What is the rate (in feet per/second) of the skydive's drop?

Answers

Answer:

120ft/sec

Step-by-step explanation:

Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):

720 ft/6 sec = 120 ft/1 sec

For every second, the skydiver drops 120 ft.

120ft/sec.

~

94.7 or 94.70

please dont put 120 i kept getting it wrong

Complete two ratios to describe the model. 4 dark blue triangles and 12 light blue triangles. The ratio of light blue triangles to dark blue triangles is . For every 1 dark blue triangle, there .

Answers

Answer:

1:3

Step-by-step explanation:

4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.

Answer: The ratio of light blue triangles to dark blue triangles is  

✔ 3 to 1

.

For every 1 dark blue triangle, there  

✔ are 3 light blue triangles

.

your w e l c o m e  edge nuity users

The product of 3 and n
Mathematics

Answers

Answer: 3n

Since n is a variable and isn’t defined you would write the product as 3n

Answer:

Step-by-step explanation:

the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be  3n

where n is the number.

IN the answer of the question you would have to explain something like this:

Let n be the number. The product then is  3n

The reason for this is that you could also let n stand for the number, in which case the answer would be 3n

.                                                                        

A triangle has two 12‑centimeter sides. Which of the following CANNOT be the length of the third side? A. 12 cm B. 6 cm C. 24 cm D. 18 cm

Answers

Answer:

C.

Step-by-step explanation:

The sum of two sides have to be greater than than the third (Triangle Inequality Theorem). 24 is equal to 24, not greater.

Answer:

C. 24m cannot be the length of the third side

Step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

a = 12,  b = 12

c < a + b

c < 24

therefore based on the choices...

C. 24m cannot be the length of the third side.

Can someone help me I can’t understand this


Solve the literal equation 2xy -xz = 4 for x

Answers

Answer: x = 4 / 2y-z

Step-by-step explanation: Move all of your terms to the left and then set your equal as 0. Then, set each of your factors equal to 0, as well.

I hope this helps you out.

a scale model of a double decker bus is 7.0cm high and 15.4cm long.if the bus is 4.2m high how long is it

Answers

Answer:

9.24 m

Step-by-step explanation:

Dimensions of the scale model:

h = 7 cml = 15.4 cm

Dimensions of the real bus:

H = 4.2 mL =?

The ratio is:

H/h = 4.2 m / 7 cm = 420 cm / 7 cm = 60

Then:

L/l = 60L= 60 l = 60*15.4 = 924 cm = 9.24 m

The length of the bus is 9.24 m

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