Answer:
The largest integer is 29.
Step-by-step explanation:
Let the consecutive positive integers are x, x+1 and x+2.
The square of sum of squares of three consecutive positive integers is 2354 such that,
![x^2+(x+1)^2+(x+2)^2=2354\\\\x^2+x^2+2x+1+x^2+4+4x=2354\\\\3x^2+6x+5=2354\\\\3x^2+6x- 2349=0](https://tex.z-dn.net/?f=x%5E2%2B%28x%2B1%29%5E2%2B%28x%2B2%29%5E2%3D2354%5C%5C%5C%5Cx%5E2%2Bx%5E2%2B2x%2B1%2Bx%5E2%2B4%2B4x%3D2354%5C%5C%5C%5C3x%5E2%2B6x%2B5%3D2354%5C%5C%5C%5C3x%5E2%2B6x-%092349%3D0)
It is a quadratic equation whose solution is given by :
x = 27 and x = -29
First positive integer = 27
Second positive integer = 27+1 = 28
Third positive integer = 27+2 = 29
Hence, the largest integer is 29.
Answer:
C. 7:6
Step-by-step explanation:
Take your ratio 42 (G): 36 (B) and divide both numbers by six. This comes out to 7 (G): 6 (B) which is the simplest form of this ratio.
Answer:
The markup amount is $14 and the retail price is $49.
Step-by-step explanation:
You can use the following formula to find the retail price with the information provided:
Retail price=Cost*(100%+markup %)
Cost=35
Markup %= 40%
Now, you can replace the values in the formula:
Retail price=35*(140%)
Retail price=49
Now, you can subtract the cost from the retail price to find the markup amount:
49-35=14
According to this, the answer is that the markup amount is $14 and the retail price is $49.
Find a common multiplier then divide ex. 21/27 = 7/9
Answer:
45:15 turned into a fraction =1/3
Step-by-step explanation: