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3 years ago

Simplify 6(x+y)+(x-y)

2 answers:

7 0

When you have something multiplied by more than one term in parentheses, you multiply that something (in this case 6) by both terms (x and y).
6x+6y+x+y. Add like-terms. 7x+7y

larisa [96]3 years ago

5 0

Answer:

$7x+5y$

Step-by-step explanation:

6(x+y)+(x-y), we need to simplify the given expression

To simplify the expression , multiply 6 inside the parenthesis

$6(x+y)+(x-y)$

$6x+6y+x-y$

Now we combine like terms

$6x+6y+x-y$

$7x+5y$

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Find three consecutive integers with a sum of 267

Tanya [424]

88 + 89 + 90 = 267 and they are consecutive integers as they are right next to each other.

the easiest way to solve this problem is to divide 267/3 to get 89, and then use this information to gather your three integers that should be of about the same value.

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3 years ago

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Could it be 120, Because in order to solve that you take 42 divided by 0.35 and then you get 120

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A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago, to th

maxonik [38]

Answer:

The artifact was made approximately 13,306 years ago

Step-by-step explanation:

The half-life of Carbon-14 = 5730 years

The formula for radioactive decay is given by the equation:

$N=N_0 e^{- \lambda t}\\where:\\N = Number\ of\ particles\ at\ time\ t\\N_0= Number\ of\ particles\ at\ time\ t_0\\\lambda = decay\ constant = \frac{In}{t_{1/2}} ; t_{1/2} = half-life\\t = time\ in\ years$

The amount of Carbon-14 left = 20% = 20/100 = 0.2

$\therefore \frac{N}{N_0} = 20 \% = 0.2$

$N=N_0 e^{- \lambda t}\\\\dividing\ both\ sides\ by\ N_0\\\frac{N}{N_0} = e^{- \lambda t}\\0.2 = e^{- \lambda t}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.2 = Ine^{- \lambda t}\\In0.2 = -\lambda \times t\\but\ \lambda = \frac{In2}{t_{1/2}} \\\therefore In0.2 = -\lambda \times t\\\\= In0.2 = - \frac{In2}{t_{1/2}} \times t\\where\ t_{1/2} = 5730\ years\\-1.6094 = - \frac{0.6931}{5730} \times t\\-1.6094 = - 0.00012095 \times t\\t = \frac{-1.6094}{-0.00012095} \\t = 13,306.32$

t ≈ 13,306 years

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3 years ago

What is the area of the trapezoid?

MA_775_DIABLO [31]

Area of Trapezoid

$A = \dfrac{(B + b)h}{2}$

where B = larger base, b = smaller base, and h = height.

For this trapezoid, you have
B = 10 + 7 + 7 = 24
b = 10
h = 9

$A = \dfrac{(24 + 10) \times 9}{2}$

$A = 153$

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3 years ago

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ANEK [815]

Answer:

yes

Step-by-step explanation:

no no

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