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2 years ago

Dave works for 5 hours double time and he earns $98 find his normal hourly year rate

Mathematics

1 answer:

Finger [1]2 years ago

3 0

Answer: $9.8 per hour

Step-by-step explanation:

If Dave works for 5 hours at double time, then he gets paid for 10 hours of work. If he earned $98 for 10 hours of work, all you need to do is divide the amount of money earned by the hours of work. $\frac{98}{10}$ =9.8 dollars per hour.

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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is

Sloan [31]

Answer:

$x \approx 21.080\,ft$ , $y = 29.080\,ft$

Step-by-step explanation:

The total area of the pool and the walkway is:

$(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^{2}$

$(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^{2}$

$x^{2} + 20\cdot x + 84\,ft^{2} = 950\,ft^{2}$

$x^{2} + 20\cdot x - 866\,ft^{2} = 0$

The roots of the second-order polynomial is:

$x_{1} \approx 21.080\,ft$ and $x_{2} \approx -41.081\,ft$

The only possible root is:

$x \approx 21.080\,ft$

The other dimension of the pool is:

$y = x + 8\,ft$

$y = 21.080\,ft + 8\,ft$

$y = 29.080\,ft$

3 0

3 years ago

Which expressions are equivalent to ln x 2 ln 5 ln 1? Check all that apply. 2 ln 5x ln (x 26) ln 25x ln 1 ln 25x.

Marysya12 [62]

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,

$\ln25+\ln1$
$\ln25$

Given information-

The expression given in the problem is,

$\ln x+2 \ln 5 +\ln1$

<h3>Equivalent expression-</h3>

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

$\ln x+2 \ln 5 +\ln1$

As the above function is the function of <em>x. </em>Thus it can be written as,

$f(x)=\ln x+2 \ln 5 +\ln1$