So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation:
Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
Now, we can get rid of the denominators, and we get:
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
Hope this helps :)
5x^2-45=0
<em>*Add 45 to both sides*</em>
5x^2=45
<em>*Divide both sides by 5*</em>
x^2=9
<em>*Take the square root of both sides*</em>
x=+/-9
Hope this helps!!
Answer:
Option C. 10 square inch
Step-by-step explanation:
Net of a prism is shown on the coordinate plane. We have to calculate the surface area of the prism.
To calculate the surface area of the net we will calculate the area of the four large rectangles and two squares given in the picture.
Total surface area of the net = 2× small squares + 4×large rectangles
= 2×(1×1) + 4×(1×2) = 2 + 8 = 10 square inch.
Therefore option C. 10 square inch is the answer.
Answer:
Ask brainly :)
Step-by-step explanation:
We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials