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artcher [175]
3 years ago
12

A circular Petri dish has a diameter of 10 centimeters. If the dish contains 2,450 bacteria, what is the population density of b

acteria in the fish?
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0
Density=population/area circle, radius=10/2=5 cm
Density=population/(πr²)=2450/(π*5²)≈31
<span>(1) 31 bacteria per square centimeter</span>

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If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.
kodGreya [7K]

Since AB and BC are two parts of AC, AC = AB + BC

let's plug the expressions from the question into our equation above.

19 = 3x + 1 + 2x - 7

Combine like terms

19 = 5x - 6

Add 6 to both sides.

25 = 5x

Divide both sides by 5

5 = x

8 0
2 years ago
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Linda owns 4 shares of a certain stock. Yesterday the total value of her shares went down by 32 dollars. What was the change in
Annette [7]

Answer:

The value of each share decreased by $8.

Step-by-step explanation:

Number of shares of a certain stock Linda owned = 4

Total value of shares went down by = $32

So find the change in value of each share.

Solution:

Let the total value of each share in dollars be = x

Value of 4 shares in dollars will be = 4x

The total value of shares went down by $32

So, new value of 4 shares = 4x-32

New value of each share = \frac{New\ value\ of\ total\ shares}{4}

⇒ \frac{4x-32}{4}

Splitting the denominators.

⇒ \frac{4x{{4}-\frac{32}}{4}

⇒ x-8

Original value of each share in dollars was = x

New value of each share in dollars = x-8

Thus, we can see that the value of each share decreased by $8.

6 0
3 years ago
There are between 90 and 115 cars in a parking lot. Exactly one-fourth of them are green. Exactly one-eighth of them have a stic
Schach [20]

There are 104 cars in the parking lot.

According to statement there are between 90 and 115 cars on the lot.

So, {X| 90 < x < 115} (This renders an infinite solution set finite)

AND exactly one eight of them have a sticker on the back, so the total number of cars must be evenly divisible by eight.

X ∈ {96, 104, 112,}

AND exactly one fourth of the cars are green, so the number of cars must be evenly divisible by 4. Here all above written numbers are divisible by 4. So, find the mean to calculate the number of cars in the parking lot.

x = (96+104+112)/3

x = 104

There are 104 cars in the parking lot.

Learn more about ELIMINATION METHOD here brainly.com/question/13729904

#SPJ4

5 0
1 year ago
A paperweight is shaped like a triangular pyramid. The base is an equilateral triangle. Find the surface area of the paperweight
stich3 [128]

Answer:

The surface area of the paperweight is SA=8.3\ in^2

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to the area of its triangular base plus the area of its three triangular lateral faces

so

<em>Find the area of its triangular base</em>

SA=\frac{1}{2}(2)(1.7)

SA=1.7\ in^2

<em>Find the area of its three triangular lateral faces</em>

SA=3[\frac{1}{2}(2)(2.2)]

SA=6.6\ in^2

Adds the areas

SA=1.7+6.6

SA=8.3\ in^2

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3 years ago
Expaned form please help
Evgen [1.6K]
The answer is 300,012,065,708
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3 years ago
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