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insens350 [35]
3 years ago
7

Write 1.005 as mixed number.Then write how to read this number aloud.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

Step-by-step explanation: idk

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The height of a sunflower increases from 82cm to 1 metre in a week.find the percentage increase in height
KATRIN_1 [288]
Find difference i.e 100-82=18
if 82 is 100%, what about 18?
(18*100)/82= 21.951 ans
5 0
2 years ago
Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment
DiKsa [7]

Answer:

We require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

Step-by-step explanation:

Let n₁ be the population of A required and n₂ be the population of B required.

Now we require 2 units of the first nutrient for species A and one unit of the first nutrient for species B. The total nutrients required by species A is 2n₁ and that by species B is 1n₂ = n₂. So, the total nutrients required by both species A and B is 2n₁ + n₂. Since this equals the quantity of the first nutrient which is 10,560, then  2n₁ + n₂ = 10,560 (1)

Now we require 5 units of the second nutrient for species A and 6 units of the second nutrient for species B. The total nutrients required by species A is 5n₁ and that by species B is 6n₂. So, the total nutrients required by both species A and B is 5n₁ + 6n₂. Since this equals the quantity of the first nutrient which is 31,510, then  5n₁ + 6n₂ = 31,510 (2).

So, we have two simultaneous equations which we would solve to find the populations of A and B which satisfy both equations.

2n₁ + n₂ = 10,560  (1)

5n₁ + 6n₂ = 31,510 (2)

From (1) n₂ = 10,560 - 2n₁ (3)

Substituting equation (3) into (2), we have

5n₁ + 6(10,560 - 2n₁) = 31,510

expanding the brackets, we have

5n₁ + 63,360 - 12n₁ = 31,510

collecting like terms, we have

5n₁ - 12n₁ = 31,510 - 63,360

simplifying, we have

- 7n₁ = -31,850

dividing both sides by -7, we have

n₁ = -31,850/-7

n₁ = 4,550

Substituting n₁ = 4,550 into (3), we have

n₂ = 10,560 - 2(4,550)

n₂ = 10,560 - 9,100

n₂ = 1,460

So, we require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

3 0
2 years ago
In an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability th
ElenaW [278]

Answer:

The probability that A occurs given that B occurred is 333/400, that is, 83.25%.

Step-by-step explanation:

Since in an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3, to determine what is the probability that A occurs given that B occurs the following calculation must be performed:

4/5 = 0.8

2/3 = 0.666

0.8 x X = 0.666

X = 0.666 / 0.8

X = 0.8325

0.8325 = 333/400

Therefore, the probability that A occurs given that B occurred is 333/400, that is, 83.25%.

8 0
2 years ago
5.12 = 5w, what is W
MA_775_DIABLO [31]
W=1.024
I hope this helps :)
5 0
2 years ago
Read 2 more answers
Watch rep
dem82 [27]

Answer:

The value of f\,\circ\,g(-8) is 16.

Step-by-step explanation:

The composition consist: in replacing the independent variable (x) of f(x) by g(x):

f(x) = x^{2}-3\cdot x -12 (1)

g(x) = -x-12 (2)

f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12 (3)

f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12

f\,\circ\,g(x) = x^{2} +27\cdot x +168

f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168

f\,\circ\,g(-8) = 16

The value of f\,\circ\,g(-8) is 16.

3 0
2 years ago
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