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Zanzabum
2 years ago
15

Fred bought a shirt that

Mathematics
1 answer:
garri49 [273]2 years ago
4 0

Answer:

Fred save about 3.15$ because is 20% off

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The sum of the fractions 2/y-3 and 6/y+3 is equal to their
Sphinxa [80]

Step-by-step explanation:

Move expression to the left side and change its sign

5

y

−

3

+

10

y

2

−

y

−

6

−

y

y

+

2

=

0

Write

−

y

as a sum or difference

5

y

−

3

+

10

y

2

+

2

y

−

3

y

−

6

−

y

y

+

2

=

0

Factor out

y

and

−

3

from the expression

5

y

−

3

+

10

y

(

y

+

2

)

−

3

(

y

+

2

)

−

y

y

+

2

=

0

Factor out

y

+

2

from the expression

5

y

−

3

+

10

(

y

+

2

)

(

y

−

3

)

−

y

y

+

2

=

0

Write all numerators above the least common denominator

5

(

y

+

2

)

+

10

−

y

(

y

−

3

)

(

y

+

2

)

(

y

−

3

)

=

0

Distribute

5

and

−

y

through the parenthesis

5

y

+

10

+

10

−

y

2

+

3

y

(

y

+

2

)

(

y

−

3

)

=

0

Collect the like terms

8

y

+

20

−

y

2

(

y

+

2

)

(

y

−

3

)

=

0

Use the commutative property to reorder the terms

−

y

2

+

8

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Write

8

y

as a sum or difference

−

y

2

+

10

y

−

2

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

y

and

−

2

from the expression

−

y

(

y

−

10

)

−

2

(

y

−

10

)

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

(

y

−

10

)

from the expression

−

(

y

−

10

)

(

y

+

2

)

(

y

+

2

)

(

y

−

3

)

=

0

Reduce the fraction with

y

+

2

−

y

−

10

y

−

3

=

0

Determine the sign of the fraction

−

y

−

10

y

−

3

=

0

Simplify

10

−

y

y

−

3

=

0

When the quotient of expressions equals

0

, the numerator has to be

0

10

−

y

=

0

Move the constant,

10

, to the right side and change its sign

−

y

=

−

10

Change the signs on both sides of the equation

y

=

10

Check if the solution is in the defined range

y

=

10

,

y

≠

3

,

y

≠

−

2

∴

y

=

10

6 0
3 years ago
Read 2 more answers
In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find BC if AD = 8 cm and DH = 4 cm.
alina1380 [7]
Check the picture below.

notice that the triangle ADH, since the segment AL is an angle bisector, meaning  it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.

5 0
3 years ago
Read 2 more answers
What is the image point of (-6,-9)(−6,−9) after a translation left 1 unit and down 5 units?
Anna [14]

Answer:

(-7,-4)

Step-by-step explanation:

-6-1=-7

-9-(-5)=-4

7 0
3 years ago
What is 3 9/10 times -8/3
Triss [41]

Answer:

-52 / 5

Step-by-step explanation:

3 9/10 * -8 / 3 = 39 / 10 * -8 / 3 = -52 / 5

8 0
3 years ago
Ben is taking guitar classes three times a week for 8eeeks each class will last 1 3/4 hours how many hours will Ben have spent i
Cerrena [4.2K]

Answer:

14

Step-by-step explanation:

to find the answer to this you would have to ethier convert 1 3/4 to 1.75 or multiply top heavy fractions

converted way

1.75x8= 14   - stays the same

nonconverted way

7/4 x 8/1 = 56/4 = 14

etheir way you get the same answer

8 0
3 years ago
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