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ValentinkaMS [17]
2 years ago
10

Beth earns $54 per day and $10 for each extra hour she works. Ray earns $60 per day and $8 for each extra hour he puts in. They

both work five days a week. The equations show their weekly earnings with respect to how many extra hours they work. Beth: y = 270 + 10x Ray: y = 300 + 8x
Mathematics
1 answer:
inysia [295]2 years ago
6 0
For Beth, we know that she works 5 days a week and that she earns $54 dollars per day. Next, add the $10 dollars for each extra hour of work. p stands for the amount she gets paid.
(54 * 5) + (10 * x) = p
 
 For Ray, do exactly the same things you did for Beth but put in his earnings.

(60 * 5) + (8 * x) = p 
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The diagram shows a cube of side length 4 inches. A is a vertex of the cube, while B and C are located on opposite edges of the
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2 years ago
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. Given f(x) = e 2x e 2x + 3e x + 2 : (a) Make the substitution u = e x to convert Z f(x) dx into an integral in u (HINT: The ea
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Answer:

Step-by-step explanation:

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b)

Apply partial fraction in (a), we get;

\frac{u}{u^2+3u+2}=\frac{2}{u+2}-\frac{1}{u+1}\\\\\therefore u^2+3u+2\\=u^2+2u+u+2\\=u(u+2)+1(u+1)\\=(u+2)(u+1)\\\\Now\,\int\frac{u}{u^2+3u+2}\,du=\int\frac{2}{u+2}du-\int\frac{1}{u+1}du\\\\=2ln|u+2|-ln|u+1|+c\\=2ln|e^x+2|-lm|e^x+1|+c

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8 0
2 years ago
Which of the following options have the same value as 60\%60%60, percent of 949494?
garri49 [273]
<h2>Answer:</h2>

The correct options are:

        Choice A

       Choice C

and  Choice E

<h2>Step-by-step explanation:</h2>

We are asked to find the value of:

                   60% of 94

We know that: it is represented as:

  60\%\ of\ 94=\dfrac{60}{100}\times 94\\\\\\=0.6\times 94

Choice A)

           0.06\cdot 940

We know that:

    0.6\times 94 could also be written as:

0.06\times 940

Since we multiplied and divide by 10 such that:

=0.6\times 94\times \dfrac{10}{10}\\\\\\=\dfrac{0.6}{10}\times (94\times 10)\\\\\\=0.06\times 940

Hence, option: A is correct.

Choice B)

                  0.6\cdot 940

This option is incorrect.

Since by choice A we get that the correct expression is:   0.06\cdot 940

Choice C)

             We get:

        \dfrac{3}{5}\cdot 94

This option is correct.

Since,

60\%\ of 94\ is:\\\\\\=\dfrac{60}{100}\cdot 94\\\\\\=\dfrac{3}{5}\cdot 94

Choice D)

                             60\cdot 94

This option is incorrect because the actual expression is:

         0.6\cdot 94

Choice E)

               [/tex]\dfrac{60}{100}\cdot 94[tex]

This is the correct expression.

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