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just olya [345]
2 years ago
6

The equation x + c = k has a solution of x = 2. Both cand k are rational numbers.

Mathematics
2 answers:
jeka57 [31]2 years ago
3 0
Chow chill it’s fine
djyliett [7]2 years ago
3 0

Answer:

The solution x = 2 is the only solution

If c is a whole number, k is also a whole number.

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The Percent of increase
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Percent of Increase = Increase / Original    * 100%

Increase = $33 - $30 = $3
Original Price = $30

Percent Increase = $3 / $30  * 100%  ====  10%
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3 years ago
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For every 5 minutes of jogging, I ran 500 yards. <br> What is the unit rate for this ratio?
maksim [4K]

Answer:

100/1

Step-by-step explanation:

Unit rate = over 1

____

500/5 = 100/1 (WE DIVIDED BY 5)

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what is the measure of an angle that turns through 1/5 of a circle?an angle that turns through 3/5 of a circle?
Arisa [49]

Answer:3.2346693550774

Step-by-step explanation:

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3 years ago
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The ratio of the number of oranges in a fruit salad to people served is 9/40. If Lisa wants to serve 800 people, how many orange
zysi [14]

180

Step-by-step explanation:

9:40

?:800

9×20=180

40×20=800

it is a ratio. 9 oranges to 40 people. 40 times 20 is 800 so you do the same to 9 (which gives you 180)

7 0
2 years ago
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Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the
mash [69]

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

<em>A</em> = Thomas bumps into Madeline at school

<em>B</em> = Thomas call Madeline on the phone

<em>X</em> = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:

P(U|V)=\frac{P(V|U)P(U)}{P(V)}

The law of total probability states that:

P(V)=P(V|U)P(U)+P(V|U')P(U')

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

P(X) = P(X|A)P(A)+P(X|B)P(B)

         =(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

             =\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

6 0
3 years ago
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