Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
Answer:
a) The continuous rate of growth of this bacterium population is 45%
b) Initial population of culture at t = 0 is 950 bacteria
c) number of bacterial culture contain at t = 5 is 9013 bacteria
Step-by-step explanation:
The number of bacteria in a culture is given by
n(t) = 950
a) rate of growth is
Bacteria growth model N(t) = no
Where r is the growth rate
hence r = 0.45
= 45%
b) Initial population of culture at t = 0
n(0) = 950
= 950
= 950 bacteria
c) number of bacterial culture contain at t = 5
n(5) = 950
= 950
= 9013.35
= 9013 bacteria
Answer:
10 7/12
hope this is right
Step-by-step explanation:
4 5/6 = 29/6 as an improper fraction
5 3/4 = 23/4 as an improper fraction
you times the two denominators together = 24
you times 29 by 4 = 116
you times 23 by 6 = 138
you add 116 and 138 = 254
you put this over 24 = 254/24
simplify this = 127/12
you make this a mixed number = 10 7/12
the answer is 10 7/12
Answer:
C. Tiffany, born in 1973 in Nebraska, has lived in the U.S. for 45 years
Step-by-step explanation:
its right bro
The original price is 100% of the price. If the price is marked 60% off, then you pay 40% of the original price.
An item costs x dollars.
With the 60% off discount, it now costs 40% of x, or 0.4x.
Now you apply a 30% discount.
For the second discount, consider the price 0.4x to be the new original price. If the price is now discounted 30%, you will pay 70% of the new original price.
Start with 0.4x.
Now calculate 70% of 0.4x.
70% of 0.4x = 0.70 * 0.4x = 0.28x
After applying the 60% discount and the 30% discount, the item that originally cost x now costs 0.28x. 0.28x is the same as 28% of x. The amount you pay is 28% of the original price.
Answer: 28%
