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3 years ago

2/3 (x - 7 ) = -2 AL y = 5/3 B: 8 1/3 C: 10 D: 4

Mathematics

1 answer:

nika2105 [10]3 years ago

8 0

Answer:

D: 4

Step-by-step explanation:

1. Solve the equation

$\begin{array}{rcl}\dfrac{2}{3}(x - 7) & = & -2\\\\2(x - 7) & = & -6\\x - 7 & = & -3\\x & = & \mathbf{4}\\\end{array}$

2. Check

$\begin{array}{rcl}\dfrac{2}{3}(4 - 7) & = & -2\\\\\dfrac{2}{3}(-3) & = & -2\\\\-2 & = & -2\\\end{array}$

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Answer:

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3 years ago

(x-4)2 + 3x at the value x = 7

Volgvan

Answer:

Step-by-step explanation:

x = 7

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3 years ago

Read 2 more answers

Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

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$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

###

An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

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4 years ago

Five percent of 1/5 is equal to

blagie [28]

1/5 =

Percent = 20%

Decimal = 0.2

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3 years ago

Mr king is going to paint his house. The paint costs 21.99$ a gallon or 93.65$ for a 5 gallon can. What would be the unit price

vampirchik [111]

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I hope this helps!
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3 years ago