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padilas [110]
3 years ago
7

What is the original price if there is a 10% discount and the sale price is 76.50?

Mathematics
2 answers:
Elden [556K]3 years ago
4 0
Let the original price = x
then  76.50 = 0.90x
x = 76.50 / 0.90 = 85 
Allisa [31]3 years ago
3 0
This being algebra, your best bet would be to represent the "original price" by a letter, such as n.

If there's a 10% discount on this item, the price you'd pay would be (1-0.10)n, and this price is $76.50

Solve (1-0.10)n = $76.50 for n.


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Three friends in Seattle each told you it’s rainy, and each person has a 1/3 probability of lying. What is the probability that
Sedaia [141]

Answer:

8/11 probability

Step-by-step explanation:

Bayesian stats: you should estimate the prior probability that it’s raining on any given day in Seattle. If you mention this or ask the interviewer will tell you to use 25%. Then it’s straight-forward:

P(raining | Yes,Yes,Yes) = Prior(raining) * P(Yes,Yes,Yes | raining) / P(Yes, Yes, Yes)

P(Yes,Yes,Yes) = P(raining) * P(Yes,Yes,Yes | raining) + P(not-raining) * P(Yes,Yes,Yes | not-raining) = 0.25*(2/3)^3 + 0.75*(1/3)^3 = 0.25*(8/27) + 0.75*(1/27)

P(raining | Yes,Yes,Yes) = 0.25*(8/27) / ( 0.25*8/27 + 0.75*1/27 )

**Bonus points if you notice that you don’t need a calculator since all the 27’s cancel out and you can multiply top and bottom by 4.

P(training | Yes,Yes,Yes) = 8 / ( 8 + 3 ) = 8/11

4 0
2 years ago
Dion had 25.00 he purchased the following items for his younger brother using his money. If the tax purchase was 1.85 how much m
Anna [14]

he has 77 cents left

1.95*3=5.85

3.60*2=7.20

2.48*3=7.44

1.89+5.85+7.20+7.44+1.85=24.23

25-24.23=0.77

4 0
3 years ago
What is the first step in solving In(x - 1) = In6 - Inx for x?
kobusy [5.1K]

Answer:

x=3

Step-by-step explanation:

In(x-1) = In(6) - In(x)

In(x-1) + In(x) = In(6)

In((x-1)x) = In(6)

In(x^2-x) = In(6)

x^2-x=6

x^2-x-6=0

x^2+2x-3x-6=0

x(x+2)-3(x+2)=0

(x-3)(x+2)=0

x=3 because x=-2 need to be cancel out

8 0
2 years ago
Anyone mind helping?
mixas84 [53]
No solution would be your answer
7 0
3 years ago
Read 2 more answers
Will GIVE BRAINLIEST IF CORRECT<br> The diagram shows a convex polygon.<br> Find the value of a.
katen-ka-za [31]

Answer:

The value of a is 15.

Step-by-step explanation:

First, you have to find the total interior angles of the polygon using the formula, sum = (n-2)×180°, where n represents the number of sides :

sum = (n-2)×180°

sum = (5-2)×180°

sum = 540°

Given that the sum of the interior angle is 540° so in order to find the value of a, you have to add up all the angles in terms of a :

3a + 150 + 8a + 6a + 9a = 540

26a + 150 = 540

26a = 390

a = 390 ÷ 26

a = 15

3 0
2 years ago
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