Marie has 25 cards. Each card has a different symbol on it. Marie gives one card to Shelly and one card to Pauline. In how many different ways can Marie do this?

Answer:

3/5

Step-by-step explanation:

Let x be the numerator

Let y be the denominator

1st equation:

(x-1) / (y-1) = 1/2

By simplifying the equation, 2(x-1) = y-1

y = 2(x-1) + 1

2nd equation:

(x+1) / (y+1) = 2/3

By simplifying the equation, 3(x+1) = 2(y+1)

3x + 3 = 2y + 2

2y = 3x + 1

y = (3x + 1) / 2

Substituting the value of y from the 1st equation to the 2nd equation:

1st equation: y = 2(x-1) + 1

2nd equation: y = (3x + 1) / 2

2(x-1) + 1 = (3x+1) / 2

x = 3

After finding the value of x, let's find y using the 2nd equation:

y = (3x + 1) / 2

y = [(3)(3) + 1] / 2

y = 5

Alternatively, we may also find the value of x using the first equation, and the result is still the same:

y = 2(x-1) + 1

y = 2(3-1) + 1

y = 5

CHECKING TIME!!!

Substituting the values of x and y:

Let x be the numerator, x = 3

Let y be the denominator, y = 5

1st equation: (x-1) / (y-1) = 1/2

(3-1) / (5-1) = 1/2

2/4 = 1/2

By simplification, 1/2 = 1/2

2nd equation:

(x+1) / (y+1) = 2/3

(3+1) / (5+1) = 2/3

4/6 = 2/3

By simplification, 2/3 = 2/3

Answer:

[tex]5 {}^{125} \div 5 {}^{124} = \\ 5 {}^{125} - {}^{124} = \\ = 5 {}^{1} [/tex]

Answer:

5¹²⁵ ÷ 5¹²⁴

=5¹²⁵-¹²⁴

=5¹

Answer:

Width= 36 Length=78

Step-by-step explanation:

width= w

length = 2w+6

perimeter = 2(l+w)

228=2(2w+6+w)

228 = 2(3w+6)

228=6w+12

216 =6w

w=36

width= w=36 ft

length = 2w+6 = 2(36)+6=78 feet

Answer:

h(-4) = -1

h(-1) = -1

h(0) = 2

Step-by-step explanation:

h(-4) = -1 because -4<-1 and from the instructions if x < -1, it is -1

h(-1) = -1 because -1 = -1

h(0) = 2 because if 1<x<2 than we have to solute this -(x-1)^2 + 3

in this we have to replace x with 0

-(0-1)^2 + 3= -(-1)^2 + 3 = -1 +3 = 2

hope it will help you ;)

Answer:

1/4, -1/8, 1/16

Step-by-step explanation:

Answer:

6719.1535

Step-by-step explanation:

take 65.2345 times 103.on a calculator and you get 6719.1535

Answer:

The answer is 4/1 or simplified it would be 4.

Step-by-step explanation:

The rise is 4 and the run is 1. 4/1!

Answer:

14 hours he have to work to $168 make

Answer:

981.3

Step-by-step explanation:

To make the same orange circle, you would need 2:3 drops of food coloring.

A ratio is a mathematical statement that compares and equals two variables.

Fractions, percentages, and decimals are used to represent ratios.

According to this ratio (2:3), Maia uses 60% of yellow food coloring to create an orange circle for every 40% of red food coloring.

Information and calculations: 4 red food coloring drops

Yellow food coloring drops equal six.

Food coloring ratio = 4:6 or 2:3.

The ratios are as follows in percentages:

Red food coloring drops equal 40% (2/5 x 100)

60 (3/5 x 100) drops of yellow food coloring

As a result, the food coloring is divided into 40% red and 60% yellow.

Ratios are discussed in greater detail at

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Answer:

13.125 inches

Step-by-step explanation:

5/8*21=13.125

Answer:

42.25 cm & 58 cm,16.9 & 23.2 cm, 25.35 & 34.8 cm could be the distances on Allyson's map.

Step-by-step explanation:

Answer:

0.45oz or honey

Step-by-step explanation:

5.40/12

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Using identity :

the Above term can be written as :

Answer:

$5 per pound of grapes

Step-by-step explanation:

Because 2/5 a pound of grapes cost $2 you would add another $2 for 4/5 pound of grapes. Then, you would divide 2 by 1/2 to get $1.

So 1 pound of grapes = $5

Hope this helps!!    **please give me brainliest :)

The cost of per pound of grapes is $5.

A number juggling activity is determined by consolidating operands with one math administrator. The built-in functions ADD, SUBTRACT, DIVIDE, and MULTIPLY can also be used to specify arithmetic operations.

Both the plus sign and the minus sign can be used as operators with prefixes or infixes. Only infix operators can be used to represent all other arithmetic operators.

Given cost of 2/5 pound of grapes is $2

2/5p = 2

where p = pound

p = (2 x 5)/2

1p = 5

1 pound = $5

Therefore the 1 pound of grapes cost $5.

Learn more about arithmetic operations;

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Answer:

16 children would be left out in this arrangement​

Step-by-step explanation:

Total number of children in a school = 500

For P.T. Drill number of rows = number of columns =x

The number of children who will be left out = 500−x^2  .

The square root of 500 gives remainder as 16 that means, the square of 22 is less than 500 by 16

To make it a perfect square = 500−16=484 Therefore, number of children left will be 16

= 16 children would be left out in this arrangement​

(Hope this helps can I pls have brainlist (crown)☺️)

(-2x^3y)^5 = (-2)^5 (x^3)^5 (y)^5

                 = -32 x^15 y^5

1. Apply the 5 to each factor.

2. Simplify each piece.  On (x^3)^5, you multiply the 3 and 5.

Answer:

4 = 60     5 =  120     6 = 120     7 = 60

Step-by-step explanation:

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Division of 34 by 3 :

and remainder = 1

Answer:

The answer is -2/3 < -3/5

Answer:

converting to minutes

Step-by-step explanation:

3*60+20+40+2.75*60=405 min = 6 hours 45 minutes

Answer:

The better buy is the box of 7 pencils each costing .09 versus .10 for the box of 11 pencils.

7/.063=9 cents per pencil

11/1.10=10 cents per pencil

Please allow me to know if I helped by clicking thank you, rating or brainly.

Miss Hawaii

Answer:

29

Step-by-step explanation:

57+x=86

x=86-57

x=29

86-57=29Answer:

Step-by-step explanation:

Answer:

Sally has 1 muffin on the counter and she finds another muffin in the oven and she adds up how many muffins she has and she gets 2

Step-by-step explanation:

Hope this helped you if it did please mark brainliest

Answer:

1 + 1 = 2

Explanation:

Take a quick look at an addition chart, and you'll see that 1 + 1 = 2. Why is this? This is because when you add one and one you get two.