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Svetlanka [38]
3 years ago
9

Please solve and explain how. Photo attached

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

n = -11

Step-by-step explanation:

Two fractions here have the same denominator, n - 6, but the third term (3) does not.  Finding and working with the LCD makes this problem solving much easier.  Multiply that 3 by (n - 6) and then divide it by (n - 6).  Then all three terms have the same denominator, and so we can cross out the denominator (n - 6):

n^2 + 6n + 5 - n^2 - 7  - 12 = 3n - 28

Combining like terms, we get:

3n - 2 = -35, or 3n = -33.  Thus, n = -33/3, or n = -11

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Two different families pay for entry into a water park.
icang [17]

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

6 0
3 years ago
Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical term
antiseptic1488 [7]
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet. 
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6 0
3 years ago
The spiders and ants in Aunt Mellys attic have a total of 152 legs and 22 heads. Spiders have 8 legs and ants have 6 legs. How m
Scorpion4ik [409]

Answer:

10 spiders and 12 ants

Step-by-step explanation:

You need to create two equations

s = # of spiders

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since every spider has 8 legs and every ant has 6

s + a = 22 can be turned into s = 22 - a

now use substitution

8(22 - a) + 6a = 152

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24 = 2a

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now that you have the number of ants you can solve for the number of spiders

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2 years ago
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Answer:

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Step-by-step explanation:

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