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Setler [38]
3 years ago
10

A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
8 0
It begins with 4

After 1 hour= 4 x 2= 8
         2 hours= 8 x 2= 16
         3 hours= 16 x 2= 32
         4 hours= 32 x 2= 64
         5 hours= 64 x 2=128
         6 hours= 128 x 2=256
         7 hours= 256 x 2= 512
         8 hours= 512 x 2= 1024

Answer: 1024
mixer [17]3 years ago
6 0
After one hour: 8
after 2 hours: 16
after 3 hours 32
after 4 hours 64
after 5 hours 128
after 6 hours 256
after 7 hours 512
 after 8 hours 1024
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A water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 1/4 full.
Aloiza [94]

Answer:

<em>The container can hold 280 liters of water.</em>

Step-by-step explanation:

<u>Proportions</u>

The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.

If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.

\mathrm{Portion\ poured }=\frac{1}{4}-\frac{1}{8}=\frac{2}{8}-\frac{1}{8}=\frac{1}{8}

If 35 liters of water is 1/8 of the tank, then it can hold 35*8 = 280 liters.

The container can hold 280 liters of water.

4 0
3 years ago
AREA OF COMPOSITE SHAPES<br><br> SOMEONE PLEASE HELP ASAP
gtnhenbr [62]

Answer:

Step-by-step explanation:

Up - 8

Down - 8

     ⨆

8•8=64

7 0
3 years ago
Over 6.8 months, a tree grew 7.48 inches.
evablogger [386]
The tree's grow rate is 1.1 per month
7.48/6.8
=1.1
4 0
3 years ago
Read 2 more answers
Solve the system using elimination.<br><br> 2x + 3y = 17<br> x + 5y = 19
ale4655 [162]

\left\{\begin{array}{ccc}2x+3y=17\\x+5y=19&|\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+3y=17\\-2x-10y=-38\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad-7y=-21\qquad\text{divide both sides by (-7)}\\.\qquad\qquad \boxed{y=3}\\\\\\\text{Substitute the value of y to the second equation}\\\\x+5(3)=19\\\\x=15=19\qquad\text{subtract 15 from both sides}\\\\\boxed{x=4}\\\\Answer:\ x=4\ and\ y=3.

5 0
3 years ago
Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

According to question , Area of new image is :

⇒ Area = \frac{1}{8}Length(breadth)

⇒ Area = \frac{1}{8}(10)(12)

⇒ Area = 15

So the equation will be :

⇒ (10-x)(12-x)=15

b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

⇒ 120-10x-12x+x^2=15

⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

⇒ x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}

⇒ x = 15 , x =7

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0
3 years ago
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