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3 years ago

Simplify: 2a-2/3b-4 1/2a- 1/6b

1 answer:

5 0

First, we re-order the terms:
2a - 4 1/2a - 2/3b - 1/6b
Now, we combine like terms. 2 - 4 1/2 gives us -2 1/2, and to subtract -2/3 and -1/6, we merely multiply both the numerator and the denominator of -2/3 by 2, and get -4/6. -4/6 - 1/6 is -5/6, so we get:
-2 1/2a -5/6b
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Hope this helps!

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The perimeter of a rectangle is 62 m. The length is four more than two times the width. What is the length?

Travka [436]

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Define length and width
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Let x be the width
width = x
Length = 2x + 4

--------------------------------------------------
Formula
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Perimeter = 2(length + width)

--------------------------------------------------
Find Length and width
--------------------------------------------------
62 = 2(2x + 4 + x)
62 = 2(3x + 4) ← combine like terms 
62 = 6x + 8 ← remove bracket 
62 - 8 = 6x ← minus 8 on both sides 
6x = 54 ← swap sides 
x = 54 ÷ 6 ← divide by 6 on both sides
x = 9 m

--------------------------------------------------
Find Length and Width
--------------------------------------------------
Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m

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Answer: Length = 22m
--------------------------------------------------

3 0

3 years ago

Read 2 more answers

How many 5-member chess teams can be chosen from 15 interested players? Consider only the members selected, not their board posi

ryzh [129]

Answer:

3003 number of 5-member chess teams can be chosen from 15 interested players.

Step-by-step explanation:

Given:

Number of the interested players = 15

To Find:

Number of 5-member chess teams that can be chosen = ?

Solution:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula $nCr = \frac{n!}{r!(n - r)!}$

where

n represents the total number of items,

r represents the number of items being chosen at a time.

Now we have n = 15 and r = 5

Substituting the values,

$15C_5 = \frac{15!}{5!(15- 5)!}$

$15C_5 = \frac{15!}{5!(10)!}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{5 \times 4 \times 3 \times 2 \times 1(10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11}{(5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{360360}{120}$

$15C_5 = 3003$

7 0

3 years ago

4 1/12 + 1 3/4 = ? Fractions please help I'm tired.

AfilCa [17]

Lets just convert them into improper fractions.

1) 4 and 1/12 = 49/12.

1 and 3/4 = 7/4.

2) 7/4 = 21/12

3) 21/12 + 49/12 = 70/12

Back to mixed fractions!

70/12 = 5 and 10/12 = 5 and 5/6

=5 5/6

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

There is another method if you want to know. You can simply just do 4 + 1 = 5. Then do 1/12 + 3/4 = 10/12 = 5/6. So it goes to 5 5/6. Your choice which ever you find more eas.

7 0

2 years ago

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Find the probability of 2 heads when flipping 3 coins

Olegator [25]

2/6 is the answer 1/2 1/2 0/2

7 0

3 years ago

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Mischa dives from a platform that is 10 meters above the water. Her dive takes her 2.3 meters below the surface of the water. Ho

kykrilka [37]

12.3 meters because of the 10 meters she jumped plus the 2.3 she went down equals 10+2.3=12.3