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allochka39001 [22]
3 years ago
14

How do I do this? Please explain in detail.

Mathematics
2 answers:
umka2103 [35]3 years ago
8 0
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
Neporo4naja [7]3 years ago
7 0
Https://us-static.z-dn.net/files/d39/8be32892e96d7954b568343588bbf6c2.jpeg

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Ted likes to run long distances. He can run 20 kilometers in 95 minutes. How far will Ted run in 285 minutes? (numeric only) *
nikklg [1K]

Answer:

He will run 60 kilometers.

Step-by-step explanation:

285 / 95 = 3

20 x 3 = 60

3 0
2 years ago
Sorry another question!
Julli [10]

Answer:

you start counting from left to right

when you want to calculate the difference you have to choose two numbers that are next to each other and subtract second one from first one and because the different between every 2 numbers in order are the same numbers we call it a common difference.

Step-by-step explanation:

for example for 4 :

1. we can choose two numbers next to each other like 1 and 1.1

2. subtract second from first like 1.1 - 1 = 0.1

3. 1.1 + 0.1 = 1.2

1.2 + 0.1 = 1.3

and ...

so the common difference is 0.1

8 0
3 years ago
At a movie theatre adult tickets cost $10 and child ticjets cost $6. Which equation can be used to find s, the number of dollars
timurjin [86]

Answer:

s = 10k + 30

Step-by-step explanation:

Cost of Adults ticket = $10 per adult

Cost of Ticket = $6 per child

Number of adults = k

Number of Children = 5

s = Total cost

Total cost = (Cost per adult * number of adults) + (Cost per child * Number of children)

s = ($10 * k) + ($6 * 5)

s = $10k + $30

s = 10k + 30

4 0
2 years ago
A truck has a force of 2000 newtons and is moving 10 miles per hour. How much mass does the truck have?
worty [1.4K]

Answer:

Force= Mass×Accelaraion

F=m×a

But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)

So now we have,

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

Thus the mass of the object is 447.42 (i am not sure of units)

7 0
2 years ago
Read 2 more answers
horace is a professional hair stylist. let ccc represent the number of child haircuts and aaa represent the number of adult hair
Novay_Z [31]

He can give at most 2 adult haircuts with the remaining time

<h3>How many adult haircuts at most can he give with the remaining time? </h3>

The inequality is given as:

0.75C + 1.25A <= 7

Also, we have

C = 5

Substitute C = 5 in 0.75C + 1.25A <= 7

0.75 * 5 + 1.25A <= 7

Evaluate the product

3.75 + 1.25A <= 7

Evaluate the like terms

1.25A <= 3.25

Divide by 1.25

A <= 2.6

Rewrite as

A < 3

Hence, he can give at most 2 adult haircuts with the remaining time

Read more about inequalities at:

brainly.com/question/15010638

#SPJ1

<u>Complete question</u>

Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7

Horace gave 5 child haircuts.

How many adult haircuts at most can he give with the remaining time?

8 0
2 years ago
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