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2 years ago

A leather jacket is listed at $230 the discount rate is 25% off the list price what is the sales price of the jacket?

Mathematics

1 answer:

mariarad [96]2 years ago

5 0

Answer:

Discount selling price= $172.5

Step-by-step explanation:

Giving the following information:

Selling price= $230

Discount rate= 25%

<u>To calculate the discount selling price, we need to use the following formula:</u>

Discount selling price= selling price*(1 - discount rate)

Discount selling price= 230* (1-0.25)

Discount selling price= $172.5

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Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

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3 years ago

In the graph shown, which ordered pair does NOT represent a solution to the graph?

andreyandreev [35.5K]

A) (1, 7) Doesn't
B) (0, 4) Doesn't
C) (2, –2) Doesn't
D) (3, –5) DOES

All the steps are right at the exception of line 7 (and onwards)

line 6 : 6x = 42 (it's right). Now divide both sides by 6:

line 7 should be: 6x/6 = 42/6
line 8 should be: x = 7.

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3 years ago

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Answer:

Step-by-step explanation:

4 * 2.5 = 10

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