What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)
Three consecutive integers are . . . x, x+1, and x+2
The smallest two are . . . x and x+1
Their product is . . . . . x(x+1)
5 times the largest one is . . . 5(x+2)
5 less than that is . . . . . . 5(x+2)-5
Now, the conditions of the problem say that <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .
Eliminate parentheses: x² + x = 5x + 10 - 5
Combine like terms: x² + x = 5x + 5
Subtract 5x from each side: x² - 4x = 5
Subtract 5 from each side: <u>x² - 4x - 5 = 0</u>
You could solve that by factoring it, or use the quadratic equation.
Factored, it says that (x + 1) (x - 5) = 0
From which <em>x = -1</em>
and <em>x = +5</em>
We only want the positive results, so our three consecutive integers are
5, 6, and 7 .
To answer the question, the smallest one is <em><u>5 </u></em>.
<u>Check</u>:
5 x 6 ? = ? (7 x 5) - 5
30 ? = ? (35) - 5
30 = 30
yay !
Answer:
47
Step-by-step explanation:
^
Answer:
Temperature is measured in units of temperature.
In SI units, it is K (degrees Kelvin).
In CGS units, it is °C (degrees Celsius)
In English units, it is °F (degrees Fahrenheit)
Therefore the mean and standard deviation will be measured in the selected units for temperature.
The temp of Chicago is 30 degrees.
15 degree MORE than TWICE the temp of Chicago. 75-15=60/2. Hope this helps.
Answer:
y = 50
x = 80
Step-by-step explanation:
An isosceles triangle therefore has both two equal sides and two equal angles.
the 2 equal angles are y and and the one next to the 130 degree
so 180- 130 = 50
y = 50
x = 180 - 50 -50 = 80 degree
