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polet [3.4K]
3 years ago
14

What is the employee’s gross pay ?

Mathematics
2 answers:
adell [148]3 years ago
5 0

Answer:26

Step-by-step explanation:

masya89 [10]3 years ago
3 0

Answer:

m

Step-by-step explanation:

m

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−7x−6y=2<br> 7x+4y=−6<br> solve for x and y
ikadub [295]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}

Step-by-step explanation:

\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}

\mathrm{Substitute\:}x=-\frac{2+6y}{7}

\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}

\begin{bmatrix}-2-2y=-6\end{bmatrix}

\mathrm{For\:}x=-\frac{2+6y}{7}

\mathrm{Substitute\:}y=2

x=-\frac{2+6\cdot \:2}{7}\\\\x=-2

5 0
2 years ago
a recipe calls for 2 2/3 cups of flour every 1/6 cup of cinnamon.If Richard has 1 cup of cinnamon already in the recipe, how man
Mashcka [7]

Step-by-step explanation:

2 2/3

=><em>If</em> 8/3 = 1/6

x =1

1/6x = 8/3 ( Divide both sides by <em>1</em><em>/</em><em>6</em><em> </em>)

___ ___

1/6 1/6

(By cross-multiplying the numerators and denominators)

=> 1×6 8×6

___ x = ___

6×1 3×1

Cancelling out , we have

x = 8×2

____ = 8×2 = 16

1 × 1

<em>The</em><em> </em><em>final</em><em> </em><em>answer</em><em> </em><em>becomes</em><em> </em><em>1</em><em>6</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

6 0
3 years ago
Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
Ratling [72]
{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

3 0
2 years ago
Help please . The answer choices are <br> A. 0 <br> B. 1<br> C. 7<br> D. Undefined
frosja888 [35]

The answer would be C

5 0
3 years ago
Read 2 more answers
Y is directly proportional to square root of x<br> If y=56 when x=49 find,<br> y when x=81
STALIN [3.7K]

\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72

7 0
2 years ago
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