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Anon25 [30]
2 years ago
11

Which is greater 2/3 or 5/6

Mathematics
1 answer:
marysya [2.9K]2 years ago
6 0
5/6 is greater.
2/3 < 5/6
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Solve the following rational equation plz help!!
Yuri [45]

Answer:

x = \frac{9}{4}

Step-by-step explanation:

Given

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x^2+x} ← factor denominator

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x(x+1)}

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = \frac{9}{4}

However, x ≠ - 1 for reason given above, then

solution is x = \frac{9}{4}

4 0
3 years ago
A pie is cut into 9 equal pieces. If all but 3 pieces are eaten, how of the pie remains?
Vadim26 [7]

Answer:

1/3 or 3

Step-by-step explanation:

9-6 = 3

6 0
3 years ago
Read 2 more answers
3(x+1)-8=14-2(3x-4)
VLD [36.1K]

Answer:

  • 3x+3-8=(14-2=12)36x-48

Step-by-step explanation:

3x+3-8=36x-48

collect like terms

3x-36x=-48-3-8

-33x=-59

divide both side

-33×\+-33=-59/-33

×=59/-33 or 1.69

7 0
3 years ago
Read 2 more answers
Mike began tiling his bathroom floor. He completed the top edge and left edge of the floor. Each piece is a square that has a si
Yuki888 [10]
First, you need to find the length of each edge. So, you do 2 1/2*6 and 2 1/2*9.
After doing that, you get 15 for the left edge and 22.5 for the top edge. Finally, to find area, you do 15*22.5, which is our answer, 337.5 square inches.

Sorry if I'm wrong XD
3 0
3 years ago
Calculate s5 for the sequence defined by
pantera1 [17]
ANSWER

S_5= 42.5

EXPLANATION

The general term of the arithmetic sequence is

a_n=1+\frac{5}{2}n

For the first term,we substitute n=1 to get,

a_1=1+\frac{5}{2}\times 1

a_1=1+2.5=3.5

Similarly

a_5=1+\frac{5}{2}\times 5

a_5=13.5

The sum of the first n-terms is given by the formula,

S_n=\frac{n}{2}(a_1+l)

where l is the last term.
In this case

l=a_5=13.5

We substitute these values to get,

S_5= \frac{5}{2} (3.5 + 13.5)

S_5= \frac{5}{2} (17)
S_5=42.5



We could have also used the formula,

S_n=\frac{n}{2}(2a_1+(n-1)d)

S_5=\frac{5}{2}(2(3.5)+(5-1)2.5)

S_5=42.5
3 0
3 years ago
Read 2 more answers
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