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3 years ago

Literal Equations: 8c + 6j = 5p, for c

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

8c + 6j = 5p Subtract 6j from both sides
8c = 5p - 6j Divide both sides by 8
c = $\frac{5p - 6j}{8}$

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In a sequence of numbers, a5 = 30, a6 = 34, a7 = 38, a8 = 42, and a9 = 46.

defon

Answer:

A.)

Step-by-step explanation:

Try each choice to see which one works.

A.)

a_n = 4n + 10

a_5 = 4(5) + 10 = 30

a_6 = 4(6) + 10 = 34

a_7 = 4(7) + 10 = 38

Answer: A.)

7 0

2 years ago

Michelle receives 32K per year as an assistant fast food manager. Her benefits include health insurance, paid holidays, retireme

ryzh [129]

Answer:

The annual salary of Michelle including benefits = $48, 440

Step-by-step explanation:

<em>Since, you have not specified the table to show the value of each benefit.</em>

<em>So, I am assuming this table as the reference table to show the value of each benefit.</em>

<h3 /><h3><u>Benefits Value Table:</u></h3>

<h2> Benefit Value</h2>

Health Insurance $7,550

Paid Holidays $660

Retirement Contributions $4,500

Paid Vacation $1,230

Uniform Supplied $2,500

Here are the benefits details from the table:

Michelle receiving per year without benefits = $32000

Health Insurance as benefit = $7,550

Paid Holidays as benefit = $660

Retirement Contributions as benefit = $4,500

Paid Vacation as benefit = $1,230

Uniform Supplied as benefit = $2,500

So, the amount she gets from benefits = $7,550 + $660 + $4,500 + $1,230 + $2,500 = $16,440

So, the annual salary, including benefits could be calculated as:

Michelle receiving per year without benefits = $32000

The amount Michelle gets from benefits = $16,440

Michelle have annual salary including benefits = $32000 + $16,440

= $48, 440

Hence, the annual salary of Michelle including benefits = $48, 440

Keywords: calculation, salary, benefits, saving

Learn more about salary calculation from brainly.com/question/5715627

#learnwithBrainly

8 0

3 years ago

What values of k will make the line containing points (k,3) and (-2,1) parallel to the line through (5, K) and (1,0)

rjkz [21]

Answer:

k = -4 or 2

Step-by-step explanation:

For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

$\frac{1-3}{-2-k}=\frac{-2}{-2-k}$

and

$\frac{0-k}{1-5}=\frac{-k}{-4}$

To find K, set them equal.

$\frac{-2}{-2-k} = \frac{-k}{-4}\\-k(-2-k) = -2*-4\\2k+k^2=8\\k^2+2k-8=0$

Factor the quadratic and solve for K.

$(k+4)(k-2)=0$

k+4=0 so k=-4

k-2=0 so k=2

4 0

3 years ago

What’s the answer to number 19??

Igoryamba

The answer equals 6.

Since 3 3/4 equals 15/4, when you divide you have to switch the numbers in the divisor and then you turn the equation into multiplication.

So then it will be 15/4 x 4/3.

15 x 4 = 60

4 x 3 = 12 so the answer is 60/12. But you have to simplify so half of 60/12 is 30/6 and then half of 30/6 is 15/3 then you have to pick the gcf of 3 and 15 which is 3.

15 divided by 3 equals 5.

3 divided by 3 equals 1 so 5/1 equals 5

Hope this helps! ;)

5 0

3 years ago

Choose the inverse of y = x2 - 10x.

PilotLPTM [1.2K]

=Y2-10Y

We move all terms to the left:

-(Y2-10Y)=0

We add all the numbers together, and all the variables

-(+Y^2-10Y)=0

We get rid of parentheses

-Y^2+10Y=0

We add all the numbers together, and all the variables

-1Y^2+10Y=0

a = -1; b = 10; c = 0;

Δ = b2-4ac

Δ = 102-4·(-1)·0

Δ = 100

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

Y1=−b−Δ√2aY2=−b+Δ√2a

Δ‾‾√=100‾‾‾‾√=10

Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10

Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0

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3 years ago