Answer:
first method
<u>2</u><u>2</u>=<u>5</u>
7. x
we cross multiply to get
<u>2</u><u>2</u><u>x</u>= <u>5</u><u>×</u><u>7</u>
22. 22.
x= <u>3</u><u>5</u>
22
=1.59
second method
<u>2</u><u>2</u>=<u>5</u>
7. x
we multiply the denominators to get 7x
then we multiply each term by 7x
7x×<u>2</u><u>2</u> = <u>5</u>×7x
7. x
here the 7 and 7 will cancel out and the x and x will cancel out to get
<u>2</u><u>2</u><u>x</u>= <u>3</u><u>5</u>
22. 22
= 1.59
Answer:
the runners have gone 20.8 times around the globe all together
Step-by-step explanation:
At the Bostom Marathon, we have a total of
N = 20,000 runners
We know that each runner ran a distance of
d = 26 miles
Therefore, the total distance travelled by all runners combined is:

We know that the circumference of the Earth is

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

And substituting the values, we find:

So, the runners have gone 20.8 times around the globe all together.
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:

The cost function is:

And the average cost function is:

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:

Multiplying by x:

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:


Swapping sides and changing the sign:

Dividing by 41:

The least number of items to produce is 41
The perimeter of any figure, is all its sides summed up
now, notice the picture below, using the 30-60-90 rule, that's "x"
now, get the other sides, since you know what "x" is, and sum them up, that's the perimeter
When x=0,
y=-(0-2)^3-5
y=3
When y=0,
(x-2)^3=5
x-2= +/- 5^1/3
x= +/- 5^1/3 +2
x= 3.70997 or x=0.29002
To find the turning point at y, substitute the information that you have found above.
y=-(3.70997-2)^3-5
y=-9.99994
Find the mid-point next as mid-point is also the turning point.
(3.70997+0.29002)÷2=1.999995
Hence, Turning point is (1.999995, 9.99994)
Plot a graph using turning point, y value and the 2-x values.