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3 years ago

4 7/8 + (-6 1/4) how do I find common denominators?

1 answer:

4 0

Find a number that both of the denominates make the same number for example if one denominator is 1/7 and the other is 2/6 then you

2/6 * 7 = 14 over 42 then the other one would be 1/7 *6 which would be 6 over 42 you find common denominators by finding a number both of the bottom ones can equal. hope this helps

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Hello could anyone help me out? thank you! The room temperature is 50 *F. The temperature will decrease by 4*F each hour. Let "h

Taya2010 [7]

We start off with 50 as our room temperature.

Then we subtract off 4h to indicate the temperature drops 4 degrees per hour

You can think of it like this

1 hour = drop by 4 degrees

h hours = drop by 4h degrees (multiply both sides by h)

So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after

Solving for h leads to

50-4h < 32

-4h < 32-50 ... subtract 50 from both sides

-4h < -18

h > -18/(-4) ... divide both sides by -4; note the inequality sign flips

h > 4.5

If you go beyond 4.5 hours, then the temperature will be below 32 degrees

notes:

4.5 hours = 4 hours, 30 minutes = 270 minutes
the inequality sign flips whenever you divide both sides by a negative number

6 0

3 years ago

Read 2 more answers

Mr.Tumlinson earns $17.50 per hour at his job. When he works over 40 hours in a single week, he earns $17.50 per hour plus an ad

patriot [66]

last week Mr. Tumlinson made $736.75 in a single week

4 0

3 years ago

150 students in a tenth grade high school class take a survey about which video game consoles they own 60 students answer that o

Archy [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

150 students in a tenth grade high school class take a survey about which video game consoles they own. 60 students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out of these, there are 20 who have both systems.

Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the student has an XBOX. Based on this information, answer the following questions.

a) What is P(A), the probability that a randomly selected student has a Playstation?

b) What is P(B), the probability that a randomly selected student has an XBOX?

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

Answer:

a) P(A) = 2/5

b) P(B) = 1/3

c) P(A and B) = 2/15

d) P(A | B) = 2/5

Step-by-step explanation:

Total no. of students = 150

No. of students having playstation = 60

No. of students having xbox = 50

No. of students who have both playstation and xbox = 20

a) What is P(A), the probability that a randomly selected student has a Playstation?

P(A) = No. of students having playstation/Total no. of students

P(A) = 60/150

P(A) = 2/5

b) What is P(B), the probability that a randomly selected student has an XBOX?

P(B) = No. of students having xbox/Total no. of students

P(B) = 50/150

P(B) = 1/3

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

The probability that a students has a Playstation and an Xbox is given by

P(A and B) = P(A)*P(B)

P(A and B) = (2/5)*(1/3)

P(A and B) = 2/15

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

The conditional probability is given by

P(A | B) = P(A and B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

Alternatively:

P(A | B) = P(A∩B)/P(B)

Where P(A∩B) is given by

P(A∩B) = No. of students who have both playstation and xbox/Total no. of students

P(A∩B) = 20/150

P(A∩B) = 2/15

P(A | B) = P(A∩B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

6 0

3 years ago

3.75 ÷ 1.50 is equivalent to 375 ÷ 150.<br> The dividend and divisor were both multiplied by ??

bazaltina [42]

Answer:

100

Step-by-step explanation:

You need to move the decimal 2 numbers to right so you multiply by 100.

4 0

2 years ago

What is the GCF of 30, 45, and 75

Alchen [17]

Answer: GCF is 15

Step-by-step explanation:

4 0

3 years ago