Answer:
<h2>The correct answer for this question is 78.</h2>
Step-by-step explanation:
- The average or mean of any variable or mathematical phenomenon is calculated as the division of the sum of all the numbers or items within the particular variable by the total number of items or numbers within the variable.
- In this case, the marks of the 4 exams in the semester are 77,90,85 and 100 respectively.There are total 5 exams in the semester.
- Let's suppose that the marks for the 5th exam is x.
- Therefore, based on the mathematical formula to compute average or mean,to get an overall average of 86 including all the 5 exams, one has to get:-
- Hence, based on the above calculations,one has has to get 78 on the 5th exam to obtain an overall average of exactly 86.
T=PV/Rn you just divide both sides by Rn
I am guessing Jack is 51 and Lacey is 17.
Hello! So, the toy company makes blocks that cost $5 to make. Then, they mark it up by 300%, which is marking the price up by 4. 100% markup is doubling the price, 200% is tripling the price, and 300% marks the price up by 4. Then, the blocks would cost $20. After that, the price would be marked up by 150%, so that’s 2.5 times the price of the original. When you do $20 by 2.5, then the blocks cost $50. The local toy store will mark the block up by 200%, which as said before, is tripling the price. Then, you do 50 * 3, and then the price of the blocks is $150. Then, it gets marked off by 30% and 10% of 150 is 15, so 30% off 150 is 45. When you do 150 - 45, the difference is $105. Then, you take off an additional 15%, But you would still have to pay 85% of the original price. You would do 105 * 0.85, and then you would get $89.25 for the blocks. But that’s not all. You have to pay 8% sales tax for the blocks. You can find the tax by doing 89.25 * 0.08 and then adding the prices together. Or, you can do 89.25 * 1.08 to find the total price. Either way, the product should be 96.39. The total price you paid for the blocks is $96.39.
Answer:
Part A : y²(x + 2)(x + 4)
Part B: (x + 4) (x + 4)
Part C: (x + 4) (x - 4)
Step-by-step explanation:
Part A: Factor x²y²+ 6xy²+ 8y²
x²y²+ 6xy²+ 8y²
y² is very common across the quadratic equation , hence
= y² (x² + 6x + 8)
= (y²) (x² + 6x + 8)
= (y²) (x² + 2x +4x + 8)
= (y²) (x² + 2x)+(4x + 8)
= (y²) (x(x + 2)+ 4(x + 2))
= y²(x+2)(x+4)
Part B: Factor x² + 8x + 16
x² + 8x + 16
= x² + 4x + 4x + 16
= (x² + 4x) + (4x + 16)
= x( x + 4) + 4(x + 4)
= (x + 4) (x + 4)
Part C: Factor x² − 16
= x² − 16
= x² + 0x − 16
= x² + 4x - 4x - 16
= (x² + 4x) - (4x - 16)
= x (x + 4) - 4(x + 4)
= (x + 4) (x - 4)
