Answer:
4 and 6
Step-by-step explanation:
Exterior angle is the angle between any side of a shape, and a line extended from the next side.
Consider that the three consecutive integers are:
least integer = n
middle integer = n + 1
greatest integer = n + 2
THe expression "three consecutive integers is 12 less than 4 times the middle integer" can be written as follow:
n + (n + 1) + (n + 2) = 4(n +1) - 12
In order to find the numbers, proceed as follow:
n + (n + 1) + (n + 2) = 4(n +1) - 12 cancel parenthesis
n + n + 1 + n + 2 = 4n + 4 - 12 simplify like terms
3n + 3 = 4n - 8 subtract 4n and 3 both sides
3n - 4n = - 8 - 3
-n = -11
n = 11
Hence, the three consecutive integers are:
n = 11
n + 1 = 12
n + 2 = 13
Answer:
y = 650·0.922^t
Step-by-step explanation:
At the end of each year, 92.2% of the amount at the beginning of the year remains. That is, the beginning amount is multiplied by 0.922. The exponent t in 0.922^t tells how many times (years) that multiplication has taken place. At the end of t years, the amount remaining in milligrams (y) is ...
y = 650·0.922^t
Answer:
126 g
Step-by-step explanation:
Sum the parts of the ratio, 7 + 3 = 10 parts
Divide the quantity of flour by 10 to find the value of one part of the ratio
420g ÷ 10 = 42g ← value of 1 part of the ratio, thus
3 parts = 3 × 42g = 126g ← smaller amount
