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3 years ago

Two hundred fifteen and seventy-five hundredths in standard form

Mathematics

1 answer:

katen-ka-za [31]3 years ago

7 0

The answer is 215.75

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The distance between Chicago and Cleveland is

lozanna [386]

Answer:

The average speed on this trip was 46.15 mph. The correct option is A.

Step-by-step explanation:

In order to calculate the average speed, we need to apply the following formula:

$v_{avg} = \frac{\text{distance}}{\text{time}}$

We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:

$\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}$

$\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5$

The elapsed time of the trip is the difference between these:

$\text{time} = 17.5 - 9.83 = 7.67 \text{ h}$

We can now apply it to the formula:

$v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}$

The average speed on this trip was 46.15 mph. The correct option is A.

5 0

3 years ago

49<br> 5<br> as a mixed number.

nikdorinn [45]

Answer:

9 4/5

Step-by-step explanation:

I belive you meant 49/5 where the correct answer would be 9 4/5

3 0

3 years ago

Read 2 more answers

Let $f(x)$ be a function defined for all positive real numbers satisfying the conditions $f(x) > 0$ for all $x > 0$ and $f

algol [13]

Suppose we choose $x=1$ and $y=\dfrac12$ . Then

$f(x-y)=\sqrt{f(xy)+1}\implies f\left(\dfrac12\right)=\sqrt{f\left(\dfrac12\right)+1}\implies f\left(\dfrac12\right)=\dfrac{1+\sqrt5}2$

Now suppose we choose $x,y$ such that

$\begin{cases}x-y=\dfrac12\\\\xy=2009\end{cases}$

where we pick the solution for this system such that $x>y>0$ . Then we find

$\dfrac{1+\sqrt5}2=\sqrt{f(2009)+1}\implies f(2009)=\dfrac{1+\sqrt5}2$

Note that you can always find a solution to the system above that satisfies $x>y>0$ as long as $x>\dfrac12$ . What this means is that you can always find the value of $f(x)$ as a (constant) function of $f\left(\dfrac12\right)$ .

3 0

3 years ago

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What is a factor of 21x² + 13x - 20

Tems11 [23]

Answer:

(7x-5)(3x+4)

Step-by-step explanation:

4 0

3 years ago

it costs $20 per hour to bowl and $3 for shoe rental. Write a verbal model and an algebraic expression to represent the cost for

katen-ka-za [31]

3 + 20x, where x= the number of hours bowled. A verbal diagram is where you say amount to pay per hour * number of hours + price of shoe rental = total cost.

5 0

3 years ago