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2 years ago

Please help.The question and the answer choices are in the picture.

Mathematics

1 answer:

Marianna [84]2 years ago

5 0

Total mass = 6.7134 * 10^-1

= 0.67 grams

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Solve for x. 6(x - 1) = 9(x + 2) x = -8 X = -3 X = 3 x = 8

Wewaii [24]

Answer:

$x=-8$

Step-by-step explanation:

$6\left(x-1\right)=9\left(x+2\right)\\\mathrm{Expand\:}6\left(x-1\right):\quad 6x-6\\6\left(x-1\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=6,\:b=x,\:c=1\\=6x-6\cdot \:1\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\9\left(x+2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=9,\:b=x,\:c=2\\=9x+9\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:9\cdot \:2=18\\=9x+18\\6x-6=9x+18\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}$

$6x-6+6=9x+18+6\\Simplify\\6x=9x+24\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\6x-9x=9x+24-9x\\Simplify\\-3x=24\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{24}{-3}\\Simplify\\\frac{-3x}{-3}=\frac{24}{-3}\\\mathrm{Simplify\:}\frac{-3x}{-3}:\quad x\\\frac{-3x}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3x}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1\\=x\\\mathrm{Simplify\:}\frac{24}{-3}:\quad -8\\\frac{24}{-3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\\$

4 0

2 years ago

Read 2 more answers

A random variable x takes four possible values, 0, 2, a, and b, where a and b are unknown numbers. if pr[x = 0] = 0.2, pr[x=2] =

Alexus [3.1K]

$\displaystyle\sum_{x\in\{0,2,a,b\}}\mathbb P(X=x)=1$
$\mathbb P(X=0)+\mathbb P(X=2)+\mathbb P(X=a)+\mathbb P(X=b)=1$
$0.2+0.4+0.3+\mathbb P(X=b)=1$
$\implies\mathbb P(X=b)=0.1$

$\mathbb E(X)=\displaystyle\sum_{x\in\{0,2,a,b\}}x\mathbb P(X=x)=2.8$
$0\mathbb P(X=0)+2\mathbb P(X=2)+a\mathbb P(X=a)+b\mathbb P(X=b)=2.8$
$0.8+0.3a+0.1b=2.8$
$0.3a+0.1b=2$

$a+b=6\implies0.3a+0.1b=0.2a+0.1(6)=2$
$0.2a+0.6=2\implies0.2a=1.4\implies a=7$

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2 years ago

Can 13 be partitioned in groups of 3

Gennadij [26K]

Answer:

Step-by-step explanation:

in less you want a un proportional number

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3 years ago

Max brought a pair of jeans for $32 and three t-shirts for 2 dollars write an expression for the total amount max spent. if each

Nata [24]

The expression would be 32+3x where x represents the cost of each shirt. If the shirts were $9 each max would have spent $59

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3 years ago

2z^4-10z^3+4z^2 factorable?

charle [14.2K]

Yes
factor out the 2z^2 in each term
(2z^2)(z^2-5z+4)
factor some more
z^2-5z+4
find what 2 numbers multiply to get 4 and add to get -5
the numbers are -1 and -4
(z-1)(z-4)

the factored form is
(2z^2)(z-1)(z-4)

8 0

2 years ago