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Sedbober [7]
2 years ago
12

What step should Alex do to find the value of x

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
4 0
The answer is the 3rd option
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Solve the Equation <br> 2x-3=14<br> -x+3y=-6
andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}

If first equation is correct.

2x-3=14\qquad\text{add 3 to both sides}\\2x=17\qquad\text{divide both sides by 2}\\x=8.5\\\\\text{Put the value of x to the second equation:}\\-8.5+3y=-6\qquad\text{add 8.5 to both sides}\\3y=2.5\qquad\text{divide both sides by 3}\\y=\dfrac{2.5}{3}\\y=\dfrac{25}{30}\\y=\dfrac{5}{6}\\\\\boxed{x=8.5,\ y=\dfrac{5}{6}}

6 0
3 years ago
Johnny will work 15 hours a week during the 36 week school year, and 40 hours a
Naddika [18.5K]

Answer:

He will save 590 dollars by the end of the year

7 0
3 years ago
Raul has been offered three different jobs and must choose which one to accept. One of the factors he is considering is the pay
chubhunter [2.5K]

Answer:

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

Step-by-step explanation:

Given that Raul would work 50 weeks of the year,

40 hours each week,

5 days each week,

and he would receive a 1-hour lunch break each day.

Pay rate for Job A = $35,000 / year

  • For Job B:

Pay rate = $15 / hour

He will work 40 hours each week.

As he works 5 days a week, so in 1 day he will work 40/5 = 8 hours.

He would receive a 1-hour break each day, for which he will not be paid, so he will receive a payment for 8-1=7 hours.

So, payment for 1 day = $15 x 7 = $105

As he works 5 days a week, so payment for 1 week = $105 x 5 = $525

As he works 50 weeks a year, so payment for 1 year = $525 x 50 = $26250.

So, the pay rate by Job B = $26250 /year

  • For Job C:

Pay rate = $750 / week

As he works 50 weeks a year, so payment for 1 year = $750 x 50 = $37500.

So, the pay rate by Job C = $37500 /year

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

8 0
3 years ago
Does anyone know this lol
koban [17]

Answer:

62.5

Step-by-step explanation:

P = (6.50f) - 100

All you have to do is plug in 25 for f in the equation and solve for P.

P = (6.50*25) - 100

P = 162.5 - 100

P = 62.5

4 0
3 years ago
Captain Tiffany has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Omar and his merciless band of thiev
gavmur [86]

Answer:

1/7

Step-by-step explanation:

The probability that the Captain hits is \dfrac{1}{2}

2

1

​

start fraction, 1, divided by, 2, end fraction.

The probability that the pirate hits is \dfrac{2}{7}

7

2

​

start fraction, 2, divided by, 7, end fraction.

1/2 x 2/7 = 1/7

6 0
3 years ago
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