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-BARSIC- [3]
4 years ago
12

A+b+c=180 a=x+25 b=x-5

Mathematics
1 answer:
leva [86]4 years ago
3 0
A+b+c=180
subsittute
x+25+x-5+c=180
2x+20+c=180
minus 20 both sides
2x+c=160
mius 2x
c=160-2x
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Sammy buys his clothes at super discounts. On saturday he bought shoes regularly priced at $40 for 25% off, and jacket regularly
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Answer:

A. $100

B. 29%

Step-by-step explanation:

A. To find total price of the items Sammy bought we will add the price of shoes and jacket after discount.

Let us find price of shoes after 25% discount.

\text{Price of shoes after discount}=40-(\frac{25}{100}*40)

\text{Price of shoes after discount}=40-(\frac{1}{4}*40)

\text{Price of shoes after discount}=40-10=30

Therefore, price of shoes after discount is $30.

Now let us find price of jacket after 30% discount.

\text{Price of jacket after discount}=100-(\frac{30}{100}*100)

\text{Price of jacket after discount}=100-30

\text{Price of jacket after discount}=70

Therefore, price of jacket after discount is $70.

Now let us add both prices to find the total price of the items.

\text{Total price of items}=30+70

\text{Total price of items}=100

Therefore, the total price of the items bought by Sammy is $100.

B. To find the percent discount which Sammy got on his total purchases, we will use percent change formula.

\text{Percent change}=\frac{\text{Difference}}{\text{Original value}}\times 100  

Total price without discount= 100+40=140

\text{Discount percent}=\frac{140-100}{140}\times 100

\text{Discount percent}=\frac{40}{140}\times 100

\text{Discount percent}=0.2857142857142857\times 100

\text{Discount percent}=28.57142857142857\approx 29

Therefore, Sammy got approximately 29% discount on his total purchases.


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A confidence interval of a proportion p% at the x% level with m% margin of error means that:

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In this problem, we have that

90% confidence level

44% with a margin of error of 2%

So:

We are 90% sure that the true proportion of Americans who approve the ppresident's policies is in the interval from 42% to 46%.

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Answer:

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