A culture started with 2000 bacteria. After 2 hours it few to 2200 bacteria. Predict how many bacteria will be present after 19 hours.

Answers

Answer 1

Answer:

Answer:

3900 bacteria will be present

Step-by-step explanation:

A culture started with 2000 bacteria and after 2 hours it grew to 2200 bacteria, determining the rate, we can assume that for every hour, 100 bacteria adds onto the culture. Therefore:

If 19 hours have passed, multiply 100 by 19 to insinuate the every hour per 100 bacteria.

19 * 100

1900

Now you can add this to the original starting bacteria:

2000 + 1900

3900 bacteria

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What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?

Answers

7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.

Answer:

$a=7$

Step-by-step explanation:

we have

$7(a-10)=13-2(2a+3)$

Solve for a

$7a-70=13-4a-6$

Group terms that contain the same variable and move the constants to the other side

$7a+4a=13-6+70$

Combine like terms

$11a=77$

Divide by $11$ both sides

$a=7$

If 0.05x=20 then x=

Answers

0.05x=20
-------- -------
0.05 0.05

×=400

x=20/0.05
x=400
therefore x is going to be 400

Which statements are correct about quadrilaterals?Choose all answers that are correct.

A.
All squares are rhombuses.

B.
All rectangles are parallelograms.

C.
All rhombuses are trapezoids.

D.
All 4-sided shapes have at least one pair of parallel sides.

Answers

Hello,

A: True (4 sides equals in a square)

B: True all rectangle has a symetry centre

C: True (2 sides // in a rhombuse since is a parallelogram)

D:False

The Martins plan for a garden is shown in the diagram. They need to figure out how much they will spend on topsoil for the garden. What is the area of the garden? The area of the garden is ft2. If topsoil costs $0.15 per square foot, how much will they spend to cover the area with topsoil? They will spend $.

Answers

answer 1 is : 144

Answer2:21.60

Answer:

144 and 21.60

Step-by-step explanation:

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus= $(d)/(2)=(12)/(2)=6 in$

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: $(Hypotenuse)^2=(base)^2+(perpendicular\;side)^2$

Using pythagorous theorem

$OB^2=(6)^2+(8)^2=100$

$OB=√(100)=10 in$

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

What is the perimeter of the figure in the diagram (round to three decimal places if necessary)?A) 44
B) 36.472
C) 36
D) 28.472

Answers

Answer: 28.472

Step-by-step explanation: You need to find the length of all the outside edges. For the triangles you will need to use the Pythagorean Theorem. The perimeter is 28.472

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Coach Shaw is buying baseball equipment for his team. he gets a reduced rate if he buys 8 baseballs for every 3 batting helmets. The reduced rate is $2.25 per baseball and $22.50 per helmet. The sales tax on each item is 6%. Coach Shaw has $400 in his budget to buy baseballs and helmets. What is the greatest number of baseballs and helmets he can buy at the reduced rate if the ratio of baseballs to helmets is 8:3?