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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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5 0
3 years ago
140 fluid ounces increased by 45%
Leokris [45]
First divided 140 by 100 to find out how much 1 percent is
140 ÷ 100 = 1.4

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3 years ago
Help me :,)
IrinaK [193]

Answer:

The rule of the arithmetic sequence is 13 - 2n

The 30th term is -47

Step-by-step explanation:

∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2

∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n

Use n = 1 , 2 , 3 , 4 to check the type of the sequence

∵ n = 1 ⇒ 13 - 2(1) = 11

∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9

∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7

∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5

∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2

∴ The rule of the arithmetic sequence is 13 - 2n

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5 0
3 years ago
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A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume
mote1985 [20]

Answer:

890.75m^3

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

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Hence the volume of the pool is

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substitute

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zloy xaker [14]

Answer:

f(x) = 3^x increases steadily on the interval [4,5].

Step-by-step explanation:

This exponential function f(x) = 3^x has a positive base (3) which is larger than 1.  Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.

6 0
3 years ago
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