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3 years ago

Factorise the following expressions m²-9n²

Mathematics

1 answer:

Mashcka [7]3 years ago

3 0

Answer:

(m - 3n)(m + 3n).

Step-by-step explanation:

This is the difference of 2 squares, so we use the identity:

a^2 - b^2 = (a - b)(a + b).

So m^2 - 9n^2

(m - 3n)(m + 3n).

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If a water tank already contains 55 gallons of water when baxter begins to fill it and water is flowing in at a rate of 8 gallon

saw5 [17]

Answer:

I think it would be 55+8x. I hope this helps. :)

Step-by-step explanation:

55 gallons of water

8 gallons per minute

It would be 55 gallons (the original amount in the tank) plus 8 gallons per minute. (8x)

x = how many minutes the tank is being filled up more.

so if you were to fill up the tank another 5 minutes, the equation would be 55+8(5)

55+40

95 would be the answer.

6 0

3 years ago

John plays basketball at the local gym. The gym charges a monthly membership fee of $15.00, plus each player pays $2.50 per game

Katyanochek1 [597]

Answer:
Step-by-step explanation:
Assuming that for each option, you play the same number of games,x
Let y represent the cost of playing x games using option A
Option A is to buy a membership card and pay $2 every time you go to the gym. The membership card costs $20. It means that
y = 20 + 2x
Let z represent the cost of playing x games using option B
Option B is to pay $4 each time you go. It means that
z = 4x
To determine how many games will be played before cost of option A equal to the cost of option B, we would equate y to z. It becomes
20 + 2x = 4x
4x - 2x = 20
2x = 20
x = 20/2 = 10
It will take 10 games for both to be the same

3 0

3 years ago

Read 2 more answers

Amy needs to mail a gift card to a friend. She uses 47-cent stamps and 6-cent stamps to pay $2.42 in postage. How many of each s

AVprozaik [17]

Answer:

Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.

Step-by-step explanation:

Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.

41 cents = 41/100 = $0.41

6 cents = 6/100 = $0.06

She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that

0.41x + 0.06y = 2.12

Multiplying through by 100, it becomes

41x + 6y = 212

6y = 212 -41x

We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.

If x = 3,

6y = 212 - 41 × 3 = 89

y = 89/6 = 14.8333

If x = 4,

6y = 212 - 41 × 4 = 48

y = 48/6 = 8

Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.

Step-by-step explanation:

Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.

41 cents = 41/100 = $0.41

6 cents = 6/100 = $0.06

She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that

0.41x + 0.06y = 2.12

Multiplying through by 100, it becomes

41x + 6y = 212

6y = 212 -41x

We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.

If x = 3,

6y = 212 - 41 × 3 = 89

y = 89/6 = 14.8333

If x = 4,

6y = 212 - 41 × 4 = 48

y = 48/6 = 8

8 0

2 years ago

Read 2 more answers

If f(x) = x3, what is the equation of the graphed function?

jolli1 [7]

I think the answer is A. But I’m not fully sure

5 0

2 years ago

What is the length of BC?

Alekssandra [29.7K]

Answer:

2.1

Step-by-step explanation:

This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1

6 0

3 years ago

Factorise the following expressions m²-9n²​

Factorise the following expressions m²-9n²