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liubo4ka [24]
2 years ago
7

A student buys a guitar that is on sale for 15% off the regular price of $200. He also must pay an 8% sales tax. What is his tot

al cost for the guitar?
ASNWER CHOICES

$176.80

$178.00

$183.60

$186.00
Mathematics
1 answer:
EastWind [94]2 years ago
6 0

Answer:

option c

Step-by-step explanation:

a guitar 15% off means that the cost is now 85%

100percent---200dollars\\85percent---x\:dollars\\\\x=\frac{200*85}{100}\\\\x=2*85\\\\x=170

now the 8% of 170 is

100\:percent---170\:dollars\\\\8\:percent---x\:dollars

x=\frac{8*170}{100}\\\\x=\frac{8*17}{10}\\\\x=13.6

so the total cost is

170+13.6

183.6

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Answer:

1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

5.  x^-6 = \frac{1}{x^6}

6. 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7. a^{-3}b^0c^4=\frac{c^4}{a^3}

Step-by-step explanation:

Question 1:

We need to rewrite the expression using exponents

5.a.b.b.5.c.a.b.5.b

We will first combine the like terms

5.5.5.a.a.b.b.b.b.c

Now, if we have 5.5.5 we can write it in exponent as: =5^{1+1+1}=5^3

a.a as a^{1+1}=a^2

b.b.b.b as: b^{1+1+1+1}=b^4

So, our result will be:

5^3a^2b^4c

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

Question:

Rewrite using positive exponent:

The rule used here will be: a^{-1}=\frac{1}{a^1} which states that if we need to make exponent positive, we will take it to the denominator.

Applying thee above rule for getting the answers:

5) x^{-6} = \frac{1}{x^6}

6) 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7) a^{-3}b^0c^4=\frac{b^0c^4}{a^3}

We know that b^0=1 so, we get

a^{-3}b^0c^4=\frac{b^0c^4}{a^3}=\frac{c^4}{a^3}

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3 years ago
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