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34kurt
3 years ago
12

At the electronics store you have a coupon for 20% off of up to 2 CDs. You buy 4 CDs with an original cost of $10.99/each. The s

ales tax is 5%. What is the total cost of your purchase?
Mathematics
2 answers:
yanalaym [24]3 years ago
6 0
10.99x4=43.96 x .05 for sales tax = 45.94 20/100= x/45.94= 100x 918.8/100 = 9.188 45.94- 9.188 =$36.752
expeople1 [14]3 years ago
4 0

Answer:

The total cost of the purchase = $41.54

Step-by-step explanation:

Let's find the price of 2 CDs because which has 20% discount coupon.

Cost of 2 CDs =   $10.99 × 2 = $21.98

Which has 20% of discount.

Discount = 20% × $21.98 = 0.2 * $21.98 = $4.396 = $4.40 [Rounded off to nearest hundredths place]

Cost of 2 CDs with discount = $21.98 - $4.40 = $17.58

Other 2 CDs with price of $10.99 each.

So, the total price before tax = 2 discounted CDs + 2 without discount price CDs

=  $17.58 + $2*10.99

= $17.58 +$21.98

= $39.56

Now let's find sales tax, which is 5%

Sales tax = 5% × $39.56 = 0.05*$39.56 = $1.978 = $1.98 {rounded off to nearest hundredths place]

So, the total cost of the purchase = $39.56 + 1.98 = $41.54

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Step-by-step explanation:

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3 years ago
Determine the equation of the line parallel to the line y=34x+2
Vinvika [58]

Answer:

y = 34x - 139 (y = 34x + 2)

y = \frac{3}{4}x - 6 (y = 3/4x +2)

Step-by-step explanation:

(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - y_{1} = m (x - x_{1})

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Change -25.49 to degrees,minutes,and seconds A -25 29' 24'' B -25 31' 32'' C -25 29' 31'' D -25 32' 40''
Mnenie [13.5K]

Answer:

A. -25° 29' 24"

Step-by-step explanation:

It is easier to talk about this by considering the magnitude of the angle, then applying the sign to the result.

The fractional part, 0.49°, can be multiplied by 60' per degree to get the number of minutes:

0.49° × 60'/1° = 29.4'

The fractional part of this, 0.4', can be multiplied by 60" per minute to get the number of seconds:

0.4' × 60"/1' = 24"

Then the angle is ...

-25.49° = -25° 29' 24"

_____

Alternate solution

You can recognize this is 0.01° less than 25° 30', so is ...

0.01° × 60' = 0.6' = 0.6 × 60" = 36"

When 36" is subtracted from 25.5° = 25° 30', the result is 25° 29' 24". Of course, your angle is negative: -25° 29' 24".

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Comment on base-60 arithmetic

In base-10 arithmetic, when you borrow 1 from the next higher place in the number, you are borrowing ten of the current place. For example, when you are doing arithmetic with hundreds, and you borrow 1 from the thousands place, you have effectively borrowed 10 hundreds.

In base-60 arithmetic, when you borrow one from the next higher place, you borrow 60 of the current unit. That is, borrowing one minute gives you 60 seconds. Thus, 30 minutes is the same as 29 minutes and 60 seconds. Subtracting 36 seconds from this value gives 29 minutes and 24 seconds.

The term "borrowing" was used when I learned arithmetic. More recently, I've seen it called "rewriting" the number. I also think of it as "making change": changing a higher unit to an equivalent number of smaller units.

6 0
4 years ago
Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u
Sunny_sXe [5.5K]

The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

<h3>What is the similarity law for triangles?</h3>

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given two triangles:

Triangle RST and Triangle VUT

AS we can see Line segment RS and UV are parallel.

Which is crossed by a transversal RV.

The angle SRV = Angle RVU

Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ1

3 0
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