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elena-14-01-66 [18.8K]

3 years ago

5

Jack's overtime wage is $3 per hour more than his regular hourly wage. He worked for 5 hours at his regular wage and 4 hours at

the overtime wage. He earned $66. Find his regular

1 answer:

tamaranim1 [39]3 years ago

3 0

Jack's regular wage is $6 per hour.

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Write the equation of the line that passes through the points (-6,-1) and (-4,2). Put your answer in fully simplified point-slop

Archy [21]

$(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{2 +1}{-4 +6} \implies \cfrac{ 3 }{ 2 }$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y +1= \cfrac{3}{2} (x +6) \end{array}}$

4 0

1 year ago

Question in picture. ty

sleet_krkn [62]

Answer:

input x = - 7

Step-by-step explanation:

A is modelled as y = 5x - 4

B is modelled as y = 3x + 8

We require output of A three times the output of B , then

5x - 4 = 3(3x + 8) ← distribute

5x - 4 = 9x + 24 ( subtract 9x from both sides )

- 4x - 4 = 24 ( add 4 to both sides )

- 4x = 28 ( divide both sides by - 4 )

x = - 7 ← input

5 0

3 years ago

Y=x+5 and y=3x-3 I need to get this in a ordered pair

koban [17]

9514 1404 393

Answer:

(x, y) = (4, 9)

Step-by-step explanation:

Perhaps the ordered pair you want is the one that satisfies both equations.

We can find that by equating the expressions for y:

x +5 = 3x -3

8 = 2x . . . . . . . . add 3-x to both sides

4 = x . . . . . . . . . divide by 2

y = 4+5 = 9

The ordered pair is (x, y) = (4, 9).

4 0

3 years ago

Solve (get the variable by itself): m / (-4) = -2.95

kenny6666 [7]

M / -4 = -2.95
As you can see, the variable m is currently in a fraction with a denominator of -4. So to get ride of the fraction and find m and its value, you should multiply both sides by the denominator of the fraction, which is in our case -4.
So m / -4 = -2.95
(m/-4) * -4 = -2.95 * -4
m = 11.8

You can recheck your answer (very important):
m / -4 = 11.8 / -4 = -2.95
The answer has been approved.

Hope this Helps! :)

7 0

3 years ago

What is 17+6-6+6 divided by 6 + 17.

alina1380 [7]

Answer:

$\boxed{\bold{1}}$

Using Pedmas rule:

$\dashrightarrow \sf \dfrac{17+6-6+6}{6+17}$

<u>subtract: 6-6 = 0</u>

$\dashrightarrow \sf \dfrac{17+6}{23}$

<u>simplify the following</u>

$\dashrightarrow \sf \dfrac{23}{23}$

<u>the numerator and denominator cancels out</u>

$\dashrightarrow \sf 1$

4 0

3 years ago

Read 2 more answers