Answer:
1/3( x-5)= -2/3
Multiply both sides by 3
x = 3
Step-by-step explanation:
1/3( x-5)= -2/3
Multiply both sides by 3
3*1/3( x-5)= -2/3*3
x-5 = -2
Add 5 to each side
x-5+5 = -2+5
x = 3
Answer:
537 students
11 days
Step-by-step explanation:
5000
y= -----------------
(1+4999e^-0.8t)
a) after 8 days means t =8
5000
y= -----------------
(1+4999e^-0.8*8)
5000
y= -----------------
(1+4999e^-6.4)
5000
y= -----------------
(1+8.306)
5000
y= -----------------
(9.306)
y =537.28
Rounding to the nearest student
y = 537 students
b) 1/2 the student population means y =2500 (The 5000 is the student population)
5000
2500= -----------------
(1+4999e^-0.8t)
Multiply each side by (1+4999e^-0.8t)
2500 (1+4999e^-0.8t) = 5000
Divide each side by 2500
(1+4999e^-0.8t) = 5000/2500
(1+4999e^-0.8t) = 2
Subtract 1
(4999e^-0.8t) = 2-1
(4999e^-0.8t)=1
Divide by 4999
(4999/4999e^-0.8t)=1/4999
e^-0.8t=1/4999
Take the natural log of each side
ln(e^-0.8t)=ln(1/4999)
-.8t = ln(1/4999)
Divide by -.8
-.8/-8t = -1/.8 *ln(1/4999)
t = -1/.8 *ln(1/4999)
t≈10.6462
Rounding, it will take 11 days
Answer:
Step-by-step explanation:
s=18, t=18 the s gives t x sweets
s=18-x, t=18+x, s eats 5 and t eats half
s=18-5-x, t=(18+x)/2
Reamining sweets is
R=s+t
R=18-5-x+(18+x)/2
R=13-x+(18+x)/2
R=(26-2x+18+x)/2
R=(44-x)/2
The total amount is 12 ounces therefore you can use that as your denominator.
4 ounces out of it are vanilla and the other 8 are chocolate.
4 out of 12 is vanilla . This can also be written as 4/12.
4/12 can be your first fraction.
The second one can be a simplified version of 4/12.
The simplified version would be 1/3.
Your two fractions would be 4/12 and 1/3.
Hope This Helps You!
Good Luck Studying :)
Answer:
Step-by-step explanation:
Let the two consecutive integers be x , x + 1
Product of the two consecutive integers = x * (x+1) = x*x + x*1
= x² + x
sum of two consecutive integers = x + x +1 = 2x +1
x² + x - (2x + 1 ) = 11
x² + x - 2x - 1 = 11
x² - x -1 -11 = 0
x² - x - 12 = 0
x² - 4x + 3x - 12 = 0
x(x-4) + 3(x-4) =0
(x-4) (x +3) = 0
x- 4 = 0 or x + 3 = 0
x = 4 0r x = -3
If x = 4 , the the consecutive numbers are 4 and 5
If x = -3, the consecutive numbers are -3 and -2
