Answer:
I am sorry I don't know how to do it
The way these equations are arranged helps.
First only deal with the left handside.
<span>X^2+20x= (x+a)^2 -b where we are looking for a,b
You need to know the general formula for (x+a)^2=x^2+2ax+a^2
20x = 2*10x so a will be 10
(x+10)^2= x^2+20x+100
Now lets look at the original question:
</span><span>X^2+20x=10
we know now that </span>(x+10)^2= x^2+20x+100
Thus X^2+20x=(x+10)^2 -100
So X^2+20x=10 becomes
(x+10)^2 -100 =10
(x+10)^2=110
For the other question you need to follow the same logic.
Answer:

Step-by-step explanation:
<em>This question has uncleared details towards the end. However, one can deduce that we need to calculate the amount of box the available space can contain.</em>
<em></em>
<u>We have the following given parameters.</u>
<u>Shipping Container</u>

<u>The box</u>

First, we calculate the volume of the shipping container.


Next, we calculate the volume of the box.


The number of box is then calculated as:




Hence:
<em>198 boxes will occupy the empty space</em>
Answer:
Step-by-step explanation:
the last coordinate would be8,0 because i did it on graph paper and checked it a bunch of time even with my math teacher
One whole jar= 3/3 or 1
Set up a ratio comparing the two sets of measurements.
2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.
x= ounces in 1 whole jar
2 2/4 / 2/3= x / 3/3
cross multiply
(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions
10/4 * 3/3= 2/3x
multiply numerators; multiply denominators
(10*3)/(4*3)= 2/3x
30/12= 2/3x
divide both sides by 2/3
30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3
30/12 * 3/2= x
multiply numerators; multiply denominators
(30*3)/(12*2)= x
90/24= x
simplify by 6
15/4 or 3 3/4 ounces= x
ANSWER: 3 3/4 ounces can make a full jar.
Hope this helps! :)