Answer:
340
Step-by-step explanation:
As it was increased by 25%, $425 is 125% of the original price, so we can get back to 100% by dividing 425 by 5 [85], so 85 is 25% of the price. We can now get the original price by subtracting 85 from 425 (or you could multiply 85 by 4) which is 340
You can check this answer by multiplying 340 by 1.25
If the answer is 425, then it is correct, else, not. [it is]
It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.
(1^2 - 1) + (2^2 - 1) + (3^2 - 1) + (4^2 - 1) = 26
The easier way to find the sum is to use a few simple formulas.
When we have a term that is just a constant c, the formula is c*n.
When we have a variable k, the formula is k*n*(n+1)/2.
When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.
In this case, we have a squared variable k^2 and a constant of -1.
So plug in n=4 to the formulas:
4*5*9/6 - 1*4 = 26
The answer is 26
Consider rectangular box with
- length x units (x≥0);
- width 3 units;
- height (8-x) units (8-x≥0, then x≤8).
The volume of the rectangular box can be calculated as
![V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.](https://tex.z-dn.net/?f=V_%7Bbox%7D%3D%5Ctext%7Blength%7D%5Ccdot%20%5Ctext%7Bwidth%7D%5Ccdot%20%5Ctext%7Bheight%7D.)
In your case,
![V_{box}=3\cdot x\cdot (8-x).](https://tex.z-dn.net/?f=V_%7Bbox%7D%3D3%5Ccdot%20x%5Ccdot%20%288-x%29.)
Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).
From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.
Then the volume will be V=0 (minimal).
Answer: correct choices are B (the maximum possible length), C (the minimum possible height)
100-24=76
76%=76/100=0.76
single multiplier=0.76
Answer:
Let's solve the expression!
Step-by-step explanation:
![150 = 2x](https://tex.z-dn.net/?f=150%20%3D%202x)
![\frac{150}{2}=\frac{2x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B150%7D%7B2%7D%3D%5Cfrac%7B2x%7D%7B2%7D)
![75 = x](https://tex.z-dn.net/?f=75%20%3D%20x)
Your answer is 75.
The fraction shows 150 ÷ 2 and 2x ÷ 2.
I hope this helps!
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