MATHEMATICS
COLLEGE

Answer: 23.50 divided by .25 = 94

Answer: How you find that out would be by dividing $23.50 by $0.25.

23.50÷0.25=94

You would be able to buy 94 packs of bread crumbs with $23.50.

23.50÷0.25=94

You would be able to buy 94 packs of bread crumbs with $23.50.

MIDDLE SCHOOL

4(x-y)^2-12(x-y)(x+y)+9(x+y)^2

which can factorised into

Answer:

(x + 5 y)^2

Step-by-step explanation:

Simplify the following:

4 (x - y)^2 - 12 (x - y) (x + y) + 9 (x + y)^2

(x - y) (x - y) = (x) (x) + (x) (-y) + (-y) (x) + (-y) (-y) = x^2 - x y - x y + y^2 = x^2 - 2 x y + y^2:

4 x^2 - 2 x y + y^2 - 12 (x - y) (x + y) + 9 (x + y)^2

4 (x^2 - 2 x y + y^2) = 4 x^2 - 8 x y + 4 y^2:

4 x^2 - 8 x y + 4 y^2 - 12 (x - y) (x + y) + 9 (x + y)^2

(x + y) (x - y) = (x) (x) + (x) (-y) + (y) (x) + (y) (-y) = x^2 - x y + x y - y^2 = x^2 - y^2:

4 x^2 - 8 x y + 4 y^2 - 12 x^2 - y^2 + 9 (x + y)^2

-12 (x^2 - y^2) = 12 y^2 - 12 x^2:

4 x^2 - 8 x y + 4 y^2 + 12 y^2 - 12 x^2 + 9 (x + y)^2

(x + y) (x + y) = (x) (x) + (x) (y) + (y) (x) + (y) (y) = x^2 + x y + x y + y^2 = x^2 + 2 x y + y^2:

4 x^2 - 8 x y + 4 y^2 - 12 x^2 + 12 y^2 + 9 x^2 + 2 x y + y^2

Grouping like terms, 4 x^2 - 8 x y + 4 y^2 - 12 x^2 + 12 y^2 + 9 (x^2 + 2 x y + y^2) = 9 (x^2 + 2 x y + y^2) + (4 y^2 + 12 y^2) - 8 x y + (4 x^2 - 12 x^2):

9 (x^2 + 2 x y + y^2) + (4 y^2 + 12 y^2) - 8 x y + (4 x^2 - 12 x^2)

4 y^2 + 12 y^2 = 16 y^2:

9 (x^2 + 2 x y + y^2) + 16 y^2 - 8 x y + (4 x^2 - 12 x^2)

4 x^2 - 12 x^2 = -8 x^2:

9 (x^2 + 2 x y + y^2) + 16 y^2 - 8 x y + -8 x^2

9 (x^2 + 2 x y + y^2) = 9 x^2 + 18 x y + 9 y^2:

9 x^2 + 18 x y + 9 y^2 + 16 y^2 - 8 x y - 8 x^2

Grouping like terms, 9 x^2 + 18 x y + 9 y^2 + 16 y^2 - 8 x y - 8 x^2 = (9 y^2 + 16 y^2) + (18 x y - 8 x y) + (9 x^2 - 8 x^2):

(9 y^2 + 16 y^2) + (18 x y - 8 x y) + (9 x^2 - 8 x^2)

9 y^2 + 16 y^2 = 25 y^2:

25 y^2 + (18 x y - 8 x y) + (9 x^2 - 8 x^2)

x y 18 + x y (-8) = 10 x y:

25 y^2 + 10 x y + (9 x^2 - 8 x^2)

9 x^2 - 8 x^2 = x^2:

25 y^2 + 10 x y + x^2

The factors of 25 that sum to 10 are 5 and 5. So, 25 y^2 + 10 x y + x^2 = (x + 5 y) (x + 5 y):

(x + 5 y) (x + 5 y)

(x + 5 y) (x + 5 y) = (x + 5 y)^2:

Answer: (x + 5 y)^2

COLLEGE

Two lines intersect to form a linear pair with equal measures. One angle has the measure 3x° and the other angle has the measure (9y − 18)°. Find the values of x and y.

3x + 9y - 18 = 180

3x = 9y - 18

Which means

3x = 90

9y - 18 = 90

Solving for each:

x = 90/ 3

x = 30

And

9y = 108

y = 108/9

y = 12

Answer: x = 30 , y = 12

COLLEGE

Three apples and twice as many oranges add up to one half the number of cherries in a fruit basket. how many cherries are there? ( I need an equation, help please! )

So, there are 3 Apples. Oranges = 2 * 3 Apples = 6 Oranges.

The sum of the number of Oranges and Apples represent half of the Cherries.

Mathematically speaking, o + a = 1/2 c 3 + 6 = 1/2c. => c=18.

So there are 18 Cherries.

The sum of the number of Oranges and Apples represent half of the Cherries.

Mathematically speaking, o + a = 1/2 c 3 + 6 = 1/2c. => c=18.

So there are 18 Cherries.

HIGH SCHOOL

2x-11=k for x Shjs like hebejkdieje

2x - 11 = k , x

2x = k + 11

x = k + 11

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2

2x = k + 11

x = k + 11

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2