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alina1380 [7]
2 years ago
4

Anna and Bill share some money in the ratio 2:5

Mathematics
1 answer:
alexdok [17]2 years ago
5 0
Let the total amount of money that Anna and Bill shared be £ x
amount of money Anna received will  be £A=2/7x
amount of money Bill received will be £B=5/7x
let the total amount of  money that Carl and Donna shared be £ 2x
amount of money received by Carl is £C=3/4(2x)=3/2x
amount of money received by Donna is £D=1/4(2x)=1/2x
the ratio of money received by them altogether will be:A:B:C:D
this is equal to:
2/7x:5/7x:3/2x:1/2x
this can be simplified to:
2/7:5/7:3/2:1/2
this can further be simplified to:
(2/7*14):(5/7*14):(3/2*14):(1/2*14)
hence we shall have:
4:10:21:7
 
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Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterfl
MrRa [10]

Incomple question. However, here's the remaining part of the question:

14

2009

Meadow Fritillary= 5

Variegated Fritillary= 7

Zebra Swallowtail= 33

Eastern-Tailed Blue= 242

Louden County Butterfly Count

2010

Meadow Fritillary 34

Variegated Fritillary 95

Zebra Swallowtail 21

Eastern-Tailed Blue 168

2011

Meadow Fritillary

Variegated Fritillary

Zebra Swallowtail

Eastern-Tailed Blue

10

170

<u>Options</u>:

A) All butterfly populations are steadily decreasing.

B)All butterfly populations were larger than usual in 2010.

C)The Eastern-Tailed Blue butterfly is more common than the others.

D)The Meadow Fritillary is equally common as the Variegated Fritillary

Answer:

<u>C</u>

Step-by-step explanation:

Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.

Therefore, we could infer from the samples, that the Eastern-Tailed Blue butterfly is more common than others from the records of the past 3 three years.

5 0
2 years ago
The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x do
alexdok [17]

Answer:

D,B,C,A

Step-by-step explanation:

Look at the picture

:)

8 0
1 year ago
Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
alexandr402 [8]

Comparing the functions, from the tables, it is found that (f - g)(x) is positive in the interval (–∞, 9) .

----------------------

  • For the subtraction function, we simply subtract both functions, thus:

(f - g)(x) = f(x) - g(x)

  • It is positive if f is greater than g, that is: f(x) > g(x).
  • It is a linear function, so one function is greater before the equality, one after.
  • They are equal at x = 9.
  • If x < 9, f(x) > g(x), and thus, (f - g)(x) is positive, which means that the desired interval is:

(–∞, 9)

A similar problem is given at brainly.com/question/24610273

4 0
1 year ago
A gene can be either type A or type B, and it can be either dominant or recessive. If the gene is type B, then there is a probab
WARRIOR [948]

Answer: The probability that a gene is of type A is 0.29.

Step-by-step explanation:

Let A be the event of type A.

Let B be the event of type B.

Let D be the event of dominant.

So, P(B and D) = 0.22

P(D|B)=0.31

So, Using the conditional probability, we get that

P(B|D)=\dfrac{P(B\cap D)}{P(B)}\\\\0.31=\dfrac{0.22}{P(B)}\\\\P(B)=\dfrac{0.22}{0.31}=0.71

So, the probability that a gene is of type A is given by

P(A)=1-P(B)=1-0.71=0.29

Hence, the probability that a gene is of type A is 0.29.

8 0
2 years ago
Read 2 more answers
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x)
Verdich [7]

Answer:

g(x)=(x+7)^2-3

Step-by-step explanation:

Given:

f(x)= x^2

Now we have to translate f(x) 7 units to the left and 3 units down to form the function g(x).

As per the rules of translation

when any parent function, in given case f(x)=x^2, is translated to 'a' units to the left then 'a' is added to the value of x. thus making f(x+a)

Also when the parent function is translated any 'a' units down then 'a' is subtracted from the value of function. thus making f(x)-a

Translating f(x), 7 units to the left

f(x+7)= (x+7)^2

Translating f(x+7), 3 units down

f(x+7)-3 = (x+7)^2-3

Hence new function g(x)=(x+7)^2-3!

7 0
2 years ago
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