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ser-zykov [4K]
3 years ago
10

Walter and his mother drove to Miami Florida. It took them 9 hours and 45 minutes to drive 658.125 miles. Their average speed wa

s how many mph?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer: 67.5 mph

Step-by-step explanation:

The formula for speed is:

= Distance / Time

Distance = 658.125 miles

Time will need to be converted to a decimal. You may convert only the minutes into hours as the hours are already hours.

= 45/60 minutes

= 0.75 hrs

= 9 + 0.75

= 9.75 hours

Speed = 658.125 / 9.75

= 67.5 mph

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Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Sh
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Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

P(A \cup B) =0.72 (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way P(A \cup B) = 1 - P(A \cap B)

= 1 - 0.28\\= 0.72

Hence, the probability that Sue walks at least one way is 0.72.

8 0
3 years ago
6(2x + 5) = 2(3x – 2) <br> solution ? I NEED IT NOW SOMEONE PLEASE HELPPPPP!!!
AlladinOne [14]

\fbox{x = -17/3}

Explanation:

6(2x + 5) = 2(3x – 2)

[given]

6(2x) + 6(5) = 2(3x) + 2(-2)

12x + 30 = 6x – 4

[distributive property of equality; individually multiply each addend inside the parenthesis and simplify (distribute the terms) ]

12x + 30 = 6x – 4

–6x –6x

6x + 30 = -4

[subtraction property of equality; subtract both sides by 6x in order to keep the x term on the left side]

6x + 30 = -4

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6x = -34

[subtraction property of equality; subtract both sides by 30 in order to keep the constant term on the right side]

6x = -34

÷6 ÷6

x = -34/6

[division property of equality; divide both sides by 6 to eliminate the coefficient of 6 in 6x in order to obtain the variable x]

x = -17/3

[GCF(greatest common factor); divide both sides by the greatest common factor until both numbers are prime (only divisible by 1 and itself]

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how many pairs of 3 can you make?

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