Answer:
(-138) is the answer.
Step-by-step explanation:
Perfect square numbers between 15 and 25 inclusive are 16 and 25.
Sum of perfect square numbers 16 and 25 = 16 + 25 = 41
Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.
Since sum of an arithmetic progression is defined by the expression
![S_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where n = number of terms
a = first term of the sequence
d = common difference
![S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]](https://tex.z-dn.net/?f=S_%7B8%7D%3D%5Cfrac%7B8%7D%7B2%7D%20%5B2%5Ctimes%2017%2B%288-1%29%5Ctimes%201%5D)
= 4(34 + 7)
= 164
Sum of 15 + 
= 15 + 164 = 179
Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 
= -138
Therefore, answer is (-138).
Answer:
The original number was 54.5.
Step-by-step explanation:
If a number is increased by 2.8%, then it is 102.8% of it's original number.
In mathematics, "of" in virtually all cases means "multiplied by".
Therefore, we do the opposite:
1. Convert to a decimal.
102.8% = 1.028
2. Divide by the decimal.
3. Round it to the nearest tenth.
54.47 rounds to 54.5.
Well each piece of the whole is what made the whole... so in that case each piece is little 1/4's of the whole....
8X+6Y=12
Here's how you solve it:
Just isolate y by itself to get y-intercept form.
This is the formula: Y=MX+B
M is the slope or the number next to X in the original problem.
First:
6Y=-8X+12
Next:
divided everything by 6
Y=-4/3+2
I think the answer is A!
Since it is a slope, the equation of a slope is y=Mx+b. So you want to get b to that format. To do this, you need to isolate the y on the left. To do this, you simply add 2x to both sides. Your final answer will be y=2x+7. Hope this helps!
