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In-s [12.5K]
3 years ago
5

You recently purchased a new snowboard for the upcoming winter. the board, with bindings, came out to be $315.32. you were told

that the store was running a sale on the make and model of snowboard that you purchased and, because you were a member of the shop, you received an additional discount. if the store discount on the make and model of board that you purchased is 15% and the shop member discount is 5%, then determine the original price of the item. round your answer to the nearest cent.
a. $368.02
c. $299.55
b. $390.49
d. $175.18
Mathematics
1 answer:
pochemuha3 years ago
5 0
Let x be the price after the discunt on the make and model of the board but before the member discount. Then,
(100 - 5)/100 x = 315.32
0.95x = 315.32
x = 315.32/0.95 = $331.92

Let y be the original price of the board, then
(100 - 15)/100 y = 331.92
0.85y = 331.92
y = 331.92/0.85 = 390.49

Therefore, the original price of the board is $390.49
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zysi [14]

Answer:

A.  -5x = -23

Step-by-step explanation:

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PLEASE HELP WILL MARK BRAINLIEST
Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

b > 3\frac{2}{15}\\\\

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality 2 \frac{3}{5} < b - \frac{8}{15}\\\\ is the same as \frac{13}{5} < b - \frac{8}{15}\\\\

---------------------

Let's multiply both sides by 15 to clear out the fractions

\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\

---------------------

Now isolate the variable b

39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

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Answer:

Answer b)

Step-by-step explanation:

In the sequence 0, 5, 10, 15,...

5 is added to each term in order to get the next one. Therefore the next three terms would be; 20, 25, 30.

This agrees with answer b) in the list of possible answers.

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