First, factor the expression on the top. What two numbers add to get 8 and multiply to 15? 5 and 3! so the top expression factors to (x+3)(x+5). You can cancel the x+3 from the denominator and end up with x+5. Make sense?
Answer:
units.
Step-by-step explanation:
We have been given that Joy recorded the distances she walked each day for five days.
To find the distance traveled be Joy in 5 days we will add the distances covered by Joy each day.
As there are 3 dots on 1/3, this means that Joy traveled 1/3 units on 3 days.
Since there is 1 dot on 1/2 and on dot on 2/3, so this means that Joy walked 1/2 units one day and 2/3 units another day.
Let us add all these distances.


Let us have a common denominator.





Therefore, Joy traveled
units in 5 days.
Answer:
B
Step-by-step explanation:
It cannot be D, because it costs way more, it cannot be C because there are other options that provide better value. We can finally determine that it is B because for 3 pens more it is only 9 cents more
Answer:
<u>135.73 ounces</u> of a silver alloy that costs $5.50 per ounce should be mixed.
Step-by-step explanation:
Given:
A silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 30 ounce alloy that costs $6.40 per ounce.
Now, to find the ounces of silver alloy.
Let the silver costs $5.50 per ounce be 
And the silver costs $7.00 per ounce be 
So, the total ounce make a new alloy:
....(1)
Now, the total costs of silver alloy:

Putting the value of
from equation (1) in the place of
:



<em>Subtracting both sides by 210 we get:</em>

<em>Dividing both sides by -1.5 we get:</em>

Therefore, 135.73 ounces of a silver alloy that costs $5.50 per ounce should be mixed.