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I am Lyosha [343]
2 years ago
10

Samuel orders four DVDs from an online music store. Each DVD costs $10.00. He has a 20% discount code, and sale tax is 6.75%. Wh

at is the total cost of his order
Mathematics
2 answers:
Mars2501 [29]2 years ago
7 0

Answer:

$34.40

Step-by-step explanation:

this equation has 3 steps

1. to find out how much the dvds cost without any discount or tax: $40

2. the price of the dvds with the 20% discount, which can be found with cross-multiplication making the price after discount $32

3. the final price of the dvds with sales tax can be found also with cross-multiplication and the final answer would be 34.4

N76 [4]2 years ago
4 0

Answer:

$34.7

Step-by-step explanation:

40 x 0.0675 to find the tax.

40 x 0.8 to find how much to pay

40 x 0.0675 = 2.7

40 x 0.8 = 32

32 + 2.7 = 34.7

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Method 1:

\begin{array}{ccc}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}\\\\1\dfrac{1}{2}=\dfrac{3}{2}\ \text{cup of corn}&-&x\ \text{cup of water}\end{array}\qquad\text{cross multiply}\\\\\\\dfrac{1}{4}\cdot x=\dfrac{3}{2}\cdot\dfrac{1}{2}\\\\\dfrac{1}{4}x=\dfrac{3}{4}\qquad\text{multiply both sides by 4}\\\\\boxed{x=3}

<h3>Answer: Henry will need 3 cups of water.</h3>

Method 2:

\begin{matrix}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}&|\text{multiply both sides by 2}\\\\\dfrac{1}{2}\ \text{cup of corn}&-&1\ \text{cup of water}&|\text{multiply both sides by 2}\\\\1\ \text{cup of corn}&-&2\ \text{cup of water}&|\end{matrix}

\begin{matrix}\left(\dfrac{1}{2}+1\right)\ \text{cups of corn}&-&(1+2)\ \text{cups of water}\\\\1\dfrac{1}{2}\ \text{cups of corn}&-&3\ \text{cups of water}\end{matrix}

<h3>Answer: Henry will need 3 cups of water.</h3>
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