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dem82 [27]
3 years ago
14

Santosh spent $200, before tax, on a DVD player and DVDs. The player cost $120, new DVDs cost $15 and used DVDs cost $5. Santosh

purchased the same number of new and uses DVDs. Write and solve an equation to find the number of each type of DVD Santosh purchased.
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

Santosh purchased 4 new and 4 used DVDs.

Step-by-step explanation:

From the information given, as you know that Santosh spent $200 and that the DVD player cost $120, you can say that the new and used DVDs cost $80, which can be expressed as:

15x+5y=80, where:

x refers to the number of new DVDs

y refers to the number of used DVDs

Now, as the statement indicates that Santosh purchased the same number of new and used DVDs, this means that x is equal to y and you can replace y with x and solve for x:

15x+5x=80

20x=80

x=80/20

x=4

According to this, the answer is that Santosh purchased 4 new and 4 used DVDs.

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Arada [10]

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

7 0
3 years ago
Mica bought a new smart phone for $258.13. That was the price after his 18.25% discount. What was the original price of the phon
julia-pushkina [17]

The original price of phone is $ 315.76

<em><u>Solution:</u></em>

Given that Mica bought a new smart phone for $ 258.13.

That was the price after his 18.25% discount

<em><u>To find: original price of phone</u></em>

From given question,

price after discount = $ 258.13

discount = 18.25 %

Let "x" be the original price of phone

price after discount = original price - discount

258.13 = x - 18.25 \% \text{ of } x

258.13 = x - \frac{18.25}{100}x

258.13 = x(1 - \frac{18.25}{100})

258.13 = x(1 - 0.1825)\\\\258.13 = x( 0.8175)\\\\x = \frac{258.13}{0.8175}\\\\x = 315.76

Thus original price of phone is $ 315.76

4 0
3 years ago
Match each phrase with the Algebraic expression ​
valentinak56 [21]

Answer:

2x-7

x/7

3x+5

3(x+5)

Step-by-step explanation:

Hope this will help:)

6 0
3 years ago
At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 43 more than the nu
Masja [62]
Let s be the soda and h be the hot dogs ,there are two equations here. By the problem s+h =161 s= h+43 ∴2h+43=161 so h=161-43/2 =59 so he sold 59 hot dogs and 59+43 =102 sodas.
5 0
3 years ago
Solve (x-3)^2 =5 completing the square
otez555 [7]

Answer:

x = 3 ± √5

Step-by-step explanation:

The expression (x - 3)² = 5 doesn't need completing the square to solve (this is the step after you finish completing the square):

Step 1: Square root both sides

x - 3 = ±√5

Step 2: Add 3 to both sides

x = 3 ± √5 = 0.76392, 5.23607

3 0
3 years ago
Read 2 more answers
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