Four consecutive integers... n, n+1, n+2, n+3.
The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.
n(n+3)=2n(n+3)-4 perform indicated multiplications...
n^2+3n=2n^2+6n-4 subtract n^2 from both sides
3n=n^2+6n-4 subtract 3n from both sides
n^2+3n-4=0 factor
n^2-n+4n-4=0
n(n-1)+4(n-1)=0
(n+4)(n-1)=0, and since n>0
n=1
So the four numbers are 1, 2, 3, 4
check...
1(4)=2(1)4-4
4=8-4
4=4
Answer:
116°F = 46.67 °C and 6 Pounds = 2721.55 grams
Step-by-step explanation:
The information given in the question is 1°F = -17.22°C
1 Kilogram = 1000 grams = 2.2 pounds
And we have to convert 116° F to degrees Celsius and Six pounds to grams.
1) We know (°F-32)×5/9 =°C
So by putting the value of °F as 116 ⇒ (116-32)×5÷9 = °C
⇒ °C = 
⇒ °C = 46.67
2). ∵ 2.2 Pounds = 1000 grams
∴1 Pound = 1000/2.2 = 454.54 grams
∴ 6 pounds = 6× 454.54 grams
= 2721.55 grams
Let us assume the unknown number = x
Now we have to follow the details given in the question to bring out the actual equation. In this case there will be only one equation.
(x/3)^2 - (2x + 7) = 0
(x/3)^2 = 2x + 7
x^2/9 = 2x + 7
x^2 = 9(2x + 7)
x^2 = 18x + 63
x^2 - 18x = 63
This would be the final equation for the given problem. his problem needs any solver to understand the words very minutely.
There are 10³×26³ = 17,576,000 possible different plates. If any of those is randomly chosen, the probability of picking one in particular is
... 1/17576000 ≈ 0.0000000569
