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baherus [9]
3 years ago
11

during a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At

10am there were 5,000 bacteria present in thr culture. at noon, the number of bacteria grew to 5,800. how much bacteria will be there at midnight?
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0

Answer:

10,600

Step-by-step explanation:

The bacteria grew in 2 hours by 800. Divide that and that it by 400 per hour.

Since it is a proportional rate, we can assume that the rate continue through till midnight.

Since midnight is 12 hours after noon then the bacteria grow 400 (12)=4800.

We add this to the population at noon 5800+4800=10,600.

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At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the re
trapecia [35]

Answer:

18 skis and 10 snowboards were rented.

Step-by-step explanation:

Let the number of skis rented be x and the number of snowboards rented be y.


If a total of 28 people rented on a certain day, then the total number of skis and snowboards rented that particular day is also 28.


This gives us the equation

x+y=28...eqn(1).

If skis cost $ 16, then x number of skis cost $ 16x.


If snowboards cost $ 19, then y number of snowboards cost $ 19y.


The total cost will give us another equation,

16x+19y=478...eqn(2)


From equation (1),

y=28-x...eqn(3).


We put equation (3) into equation (2) to get,


16x+19(28-x)=478


We expand the brackets to obtain,

16x+532-19x=478


We group like terms to get,

16x-19x=478-532

This implies that,

-3x=-54


We divide both sides by -3 to get,


x=18

We put x=18 into equation (3) to get,


y=28-18


y=10


Therefore 18 skis and 10 snowboards were rented.




7 0
4 years ago
Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2. a. Write an equation in two variab
Anarel [89]

Answer:

a. C(x) = $16, if 0 ≤ x ≤ 10

   C(x) = 2x - 4 if x > 10

b. Independent: Number of DVD rentals

   Dependent: Monthly cost of rentals

c. $26

Step-by-step explanation:

a. The cost (C) of renting 'x' DVDs is given by:

If 10 ≤ x ≤ 10

C(x) = $16

If  x > 10

C(x) = 16 + 2(x-10)

C(x) = 2x - 4

b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.

c. For x = 15:

C(15) = 2*15 - 4

C(15) = $26

It costs $26 to tent 15 DVDs in one month

5 0
3 years ago
Use the cross products property to solve the proportion 10/7 equals 8 / K what does k equal ​
Ivanshal [37]

Answer:

5.600

Step-by-step explanation:

5 0
3 years ago
One blanket requires 2 1/5 feet of fabric. If Mariam wants to make 3 1/2 blankets, how much fabric will she need? (answer in fra
melisa1 [442]
2 1/5 = when you simplify is 11/5
3 1/2= when you simplify is 7/2
Now, if Miriam want to make 3 1/2 blanket you have to multiply for 2 1/5 that is the amount for 1 blanket. And the result it will be how much fabric Miriam will need to make the 3 1/2 blanket
However, you have to
3 1/2 x 2 1/5 = 7 7/10 if you simplify it will be
7/2 x 11/5 = 77/10

Calculation steps:

7/2 x 11/5 = 7 x 11 / 2 x 5 = 77/10 = 7 7/10
So, Miriam will need 7 7/10 feet of fabric to make 3 1/2 blanket.

Hope that help.
3 0
4 years ago
Help me plessssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Digiron [165]

Answer:

okay

Step-by-step explanation:

if you want someone to help you you should probably put a question on here lol

3 0
4 years ago
Read 2 more answers
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