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Bess [88]
3 years ago
10

Nina wants to download games for her video game console. Older games costs 500 points and new releases cost 1500 points. Nina ha

s 15000 points to use. The equation 500a+1500b=15000, where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads three new games?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

b = 3

500a + 1500(3) = 15000

500a + 4500 = 15000

500a = 10500

a = 21

She can buy 21 older games

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For graphs, always start with line <em>x</em> then do line <em>y</em>.

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3 years ago
How do i isolate y in 4x - 2y = 22
Irina18 [472]

4x - 2y = 22

Start by adding 2y to both sides to cancel out the -2y

4x = 22 + 2y

Now you can divide by 4

x = 22/4 + 2y/4

Reduce all the fractions to get your answer, which is

x = \frac{11}{2} + \frac{y}{2}

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3 years ago
Solve For X <br> A 3 <br> B 30<br> C 60<br> D 90
Anarel [89]

Answer:

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10x+10x+30+90=180

20x+120=180

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3 years ago
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Answer:

B) rose bush: $8, pot of ivy: $11

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12(8) + 13(11) = 239

remove parentheses: (a) = a

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3 years ago
Read 2 more answers
Create three geometric sequences of your own (including one that is decreasing). Extend your sequences to include five terms. Th
Karo-lina-s [1.5K]

Answer:

a)  a_n=5\,\,(2)^{n-1}

b)  b_n=100\,\,(\frac{1}{2} )^{n-1}

c)  c_n=160\,\,(-\frac{1}{2} )^{n-1}

Step-by-step explanation:

a)  Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

a_n=5\,\,(2)^{n-1}

The first five terms are: a_1=5;\,\,\,a_2=10;\,\,\,a_3=20; \,\,\,a_4=40;\,\,\,a_5=80

b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

b_n=100\,\,(\frac{1}{2} )^{n-1}

The first five terms are: a_1=100;\,\,\,a_2=50;\,\,\,a_3=25; \,\,\,a_4=12.5;\,\,\,a_5=6.25

c)  Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

c_n=160\,\,(-\frac{1}{2} )^{n-1}

The first five terms are: a_1=160;\,\,\,a_2=-80;\,\,\,a_3=40; \,\,\,a_4=-20;\,\,\,a_5=10

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3 years ago
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