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2 years ago

the original price of a jacket is $68. The sale price is 30% off the original price. what is the amount off the original price?

Mathematics

1 answer:

Semmy [17]2 years ago

3 0

Answer: The original price of the jacket is given in the question and it is $68.

The percent of discount given on the original price is 30%.

Then

The amount of discount given = (68 * 30/100) dollar

= 20.4 dollar

The discount amount is $20.4

Now after the deduction of the sale percentage, the selling price of the jacket can be easily deduced.

Then

Selling price of the jacket = (68 - 20.4) dollars

= 47.6 dollars

Step-by-step explanation:

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Graph the line y=-1/3x+2

Juli2301 [7.4K]

Answer:

Graphed below.

Step-by-step explanation:

The slope of the line is -1/3.

The y-intercept is at (0, 2).

The x-intercept is at (6, 0).

3 0

3 years ago

Plz help

Yuliya22 [10]

Answer:

Solution: x = 2, y = -1 or (2, -1)

Step-by-step explanation:

Equation 1: 2x + y = 3

Equation 2: 5x - 2y = 12

Using the substitution method:

Transform the Equation 1 into its slope-intercept form:

2x + y = 3

2x - 2x + y = -2x + 3

y = 2x + 3

Substitute the value of y = -2x + 3 into Equation 2:

5x - 2y = 12

5x - 2(-2x + 3) = 12

5x + 4x - 6 = 12

9x - 6 = 12

9x - 6 + 6 = 12 + 6

9x = 18

9x/9 = 18/9

x = 2

Substitute the value of x = 2 into Equation 2 to solve for y:

5x - 2y = 12

5(2) - 2y = 12

10 - 2y = 12

10 - 10 - 2y = 12 - 10

-2y = 2

-2y/-2 = 2/-2

y = -1

Double-check whether the values for x and y will provide a true statement for both equations:

Equation 1: 2x + y = 3

2(2) + (-1) = 3

4 - 1 = 3

3 = 3 (True statement)

Equation 2: 5x - 2y = 12

5(2) - 2(-1) = 12

10 + 2 = 12

12 = 12 (True statement)

Therefore, the correct answers are: x = 2; y = -1 or (2, -1).

4 0

2 years ago

Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por

Irina18 [472]

Answer:

Sarah have $\frac{5}{4}$ bottle of water.

Step-by-step explanation:

We are given that,

Total number of bottles = 5

As, each bottle is divided into 4 portions.

The amount of water per person = $\frac{1}{4}$

Further, Sarah took 1 portion from each bottle and there are 5 bottles.

So, the amount of water Sarah have = $\frac{1}{4}\times 5$ = $\frac{5}{4}$

Hence, Sarah have $\frac{5}{4}$ bottle of water.

5 0

2 years ago

the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha

Aleonysh [2.5K]

Answer:

y = - $\frac{4}{5}$ x + $\frac{2}{5}$

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 )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = $\frac{5}{4}$ x + $\frac{3}{4}$ ← in slope- intercept form

with slope m = $\frac{5}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{5}{4} }$ = - $\frac{4}{5}$ , thus

y = - $\frac{4}{5}$ x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - $\frac{12}{5}$ + c ⇒ c = - 2 + $\frac{12}{5}$ = $\frac{2}{5}$

y = - $\frac{4}{5}$ x + $\frac{2}{5}$ ← equation of perpendicular line

4 0

2 years ago

6y + 2x - 2y - 3x<br> PLEASE HELP ASAP THANK YOU

11Alexandr11 [23.1K]

Answer:

4y-x

Step-by-step explanation:

Combine like-terms.

6y-2y and -3x+2x

Do the Math

4y and -x

4y-x

8 0

3 years ago

the original price of a jacket is $68. The sale price is 30% off the original price. what is the amount off the original price?​

the original price of a jacket is $68. The sale price is 30% off the original price. what is the amount off the original price?