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3 years ago

First person to answer all will earn bristliest

1 answer:

8 0

1) -6y + 17 = 3y - 10

Subtract 3y from both sides.

-6y - 3y + 17 = -10

Subtract 10 from both sides.

-6y - 3y = -12 - 10

Simplify.

-9y = -27

Divide both sides by -9.

y = 3

2) 3x - 32 = -7x + 28

Add 7x to both sides.

3x + 7x - 32 = 28

Add 32 to both sides.

3x + 7x = 28 + 32

Simplify.

10x = 60

Divide both sides by 10.

x = 6

3) 3.2 - 16 = 4a

Simplify.

-12.8 = 4a

Divide both sides by 4.

a = -3.2

4) 16.8 - v = 6v

Add v to both sides.

16.8 = 6v + v

Simplify.

16.8 = 7v

Divide both sides by 7.

v = 2.4

To check all answers, simply plug in the value of the variable that you found, then simplify.

~Hope I helped!~

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Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

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Jose makes $10000 a month plus some money by commission rates. He gets 6% of everything he sells. If Jose sold $59000 worth of i

IgorC [24]

Answer:

$13540

Step-by-step explanation:

Divide 100 from $59000 in which you get 1% of that worth. If he gets 6% of that commission rate then he would get $3540 since 1% is $590 and you multiply by 6 to get that number. Since he makes $10000 a month as stated, you would then add the amount $3540 for his salary to get $13540.

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3 years ago

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X^(2)-3x+14 how many solutions does it have?

myrzilka [38]

Step by step:

x(2)−3x+14

=2x+−3x+14

Combine Like Terms:

=2x+−3x+14

=(2x+−3x)+(14)

=−x+14