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lidiya [134]
3 years ago
5

How do i solve this?

Mathematics
1 answer:
loris [4]3 years ago
7 0

Answer:

After 30 weeks both of you will have $270

Step-by-step explanation:

Its most likely not how your teacher wants you to do it but I just added both sides until they matched up.

Hope this helps.

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Solve for x 9^(x+2)=1/27^(x+12)
elena-14-01-66 [18.8K]
9^{(x+2)}= (1/27)^{(x+12)}\1/27 = 9^{-3/2}\9^{(x+2)}=9^{(-3/2)(x+12)}\x+2=(-3/2)(x+12)\x+2=(-3/2)x-18\(5/2)x=-20\x=-8
8 0
3 years ago
involving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total o
ivolga24 [154]

Answer:

1) The probability that the second apple is red is 0.7143 (71.43%).

2) The probability that at least one red apple is picked 0.9341 (93.41%).

Step-by-step explanation:

We can make a probability tree as the attached picture.

1) There are 2 ways in the probability tree when the second apple is red:

Both apples are red:

P(R∩R)=\frac{10}{14}\frac{9}{13}=0.4945

Only the second apple is red:

P(Y∩R)=\frac{4}{14}\frac{10}{13}=0.2198

The probability that the second apple is red is the sum of the previous probabilities.

P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143

2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.

The way in the probability tree is Y∩Y:

P(Y∩Y)=\frac{4}{14} \frac{3}{13}=0.0659

P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341

8 0
4 years ago
Read 2 more answers
The difference between two numbers is 40. Twice the first number plus three times the second number
Tpy6a [65]

Answer:

x = 44 and y = 4

Step-by-step explanation:

Given:

x - y = 40

2x + 3y = 100

Isolate for x in the first equation:

x = 40 + y

Sub x = 40 + y into the second equation and solve for y:

2(40 + y) + 3y = 100

80 + 2y + 3y = 100

5y = 20

y = 4

Sub y = 4 into the equation for x:

x = 40 + 4

x = 44

Therefore, x = 44 and y = 4

6 0
3 years ago
Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverp
Alekssandra [29.7K]

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96°  = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

6 0
3 years ago
Read 2 more answers
Emily is working with rolling a standard number cube (die) and flipping a quarter.
almond37 [142]

Answer:

flipping a quarter

Step-by-step explanation:

a quarter has two sides so the chance of getting one is 1/2

a dice has 6 sides so the chance of getting a certain number is 1/6

5 0
2 years ago
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