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mash [69]
3 years ago
13

Put together, Dulcina and Tremaine have 129 total matchbooks. Tremaine's collection has 39 fewer matchbooks in it than Dulcina's

collection. How many matchbooks are in Tremaine's collection? How many matchbooks are in Dulcina's collection?
Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0

Answer:

Let the Dulcina's collection be 'x'

Let the Tremaine collection be 'x-39'

x + x - 39 =129

2x = 129 +39

2x = 168

x = 168/2

x = 84

Dulcina's collection = x = 84

Tremaine's collection = x - 39 = 84 - 39 = 45

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Aleks04 [339]

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² - 18x + y² - 10y = - 6

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is

(x - 9)² + (y - 5)² = 100 ← in standard form

with centre = (9, 5 ) and r = \sqrt{100} = 10

4 0
3 years ago
A teacher buys packs of notebooks to give to his students. The ratio of gold notebooks to red notebooks is represented in the ta
Naddika [18.5K]

Answer:

there would be 40 gold notebooks

Step-by-step explanation:

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4 0
3 years ago
PLEASE HELP
Rom4ik [11]

The answer is 15 square ft

7 0
3 years ago
If you have a line that measure 25 cm. And you scale the line by 5, what would the leght of the new line be?
timofeeve [1]

Answer:

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Step-by-step explanation:

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Answer:

5 feet.

Step-by-step explanation:

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ii) Betty walks 4 feet west.

iii) We know that the angle between north and west is 90 degrees.

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v) Therefore by using Pythogoras's Theorem we can calculate the length of

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3 0
3 years ago
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