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Mice21 [21]
3 years ago
5

(4)

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

Step-by-step explanation:

Let the number of cockles be c and that of winkles be w.

From the first relation,

w = 2c ..........(I)

From the second relation, 6 winkles are accidentally split.

This in equation form means the following:

c/w- 6 = 3/5

By cross multiplication,

5c = 3(w - 6)...........(ii)

We know w = 2c , let’s substitute this into the second equation.

5c = 3(2c - 6)

5c = 6c - 18

Collecting like times, c = 18

And w = 2c = 2(18) = 36

Hence, there were initially 18 cockles and 36 winkles

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A store pays $72 for a crystal vase. The store marks up the price by 50%. What is the amount of the mark-up?​
Assoli18 [71]

Answer:

$36.00 markup

Step-by-step explanation:

$72 x 50% (0.50) = $36.00

5 0
2 years ago
A book has 6 chapters in it, each with the same number of pages. The book also has an introduction that is 8 pages long. The who
VARVARA [1.3K]

Answer:

  • 31 pages

Step-by-step explanation:

Assumed the question is how many pages are in each chapter.

<u>Let it be x:</u>

  • 6x + 8 = 194
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8 0
2 years ago
Read 2 more answers
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

3 0
2 years ago
Help help please help
iVinArrow [24]

Answer: y= 10x+50 for Extreme and y= 15x+30

Step-by-step explanation: the additional fee is your add on and the cost per month is your slope

5 0
2 years ago
Determine the number of roots, using the most efficient method possible.
Dmitry [639]

Answer:

2 roots in every case, not all are real.

Step-by-step explanation:

All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.

a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.

b) each binomial factor contributes a root. Both roots are real.

c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.

7 0
2 years ago
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