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3 years ago

Combining like terms

1 answer:

4 0

Combine like terms to simplify an expression. For example, all terms with the variable x can be combined into one term. All constants can also be combined.

1) -4x - 10x = -14x

2) -r - 10r = -11r

3) -2x + 11 +6x = 4x + 11

4) 11r - 12r = -r

5) -v + 12v = 11v

6) -8x - 11x = -19x

7) 4p + 2p = 6p

8) 5n + 11n = 16n

9) n + 4 - 9 - 5n = -4n - 5

10) 12r + 5 + 3r - 5 = 15r (the 5 and -5 cancel each other out)

11) -5 + 9n + 6 = 9n + 1

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4. The students in Mr. Michael’s art class are decorating a booth for Harvest Day. They have blue cloth that is 60 inches long,

MrRissso [65]

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.

a.

As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely......

$60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3$

The common factors are: 2, 2 and 3

Thus the GCF $= 2*2*3=12$

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

b.

For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So...

Number of pieces for blue cloth $=\frac{60}{12}=5$

Number of pieces for gold cloth $=\frac{48}{12}=4$ and

Number of pieces for white cloth $=\frac{72}{12}=6$

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3 years ago

What is 1/3 + 1/5 + 1/2

Shalnov [3]

Answer: 1.03333333333

Step-by-step explanation:

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3 years ago

Read 2 more answers

A specimen of charcoal found at Stonehenge contains 63% as much Carbon-14 as a sample of present-day charcoal. What is the age o

seraphim [82]

Since we are given with the identity of the chemical as Carbon-14, we obtain the half-life of the chemical from a reliable source and get a value of 5730 years. The equation that we are going to use for this item is,
A(t)/A(0) = (0.50)^(n/5730)
where A(t) is the current amount, A(0) is the initial amount and n is the number of years. We know from the given that the ratio of A(t) and A(0) is equal to 0.63. Substituting this to the given,
0.63 = 0.50^(n/5730)
n = 3819.48
Thus, the sample is approximately 3819.5 years old.

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3 years ago

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced?* O 15% O 25%

Naya [18.7K]

Answer:

Step-by-step explanation:

The new price, $45, can be expressed as a percentage of $60 by taking it as a fraction of $60, converting to a decimal value, and multiplying by 100%. $45/$60=3/4=0.75, 0.75x100%=75%. So since 100%-75%=25%, the value was reduced by 25%.

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3 years ago

How to solve it and the formula to solve it

notsponge [240]

i) u + 3 V

1 by 2 + 3 *minus 2

1 by 2 -6

1 - 12 by 2

- 11 by 2

ii) - 3 * 1 by 2 + 2 * -2 + 3 by 4

minus 19 by 4

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3 years ago