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belka [17]
3 years ago
11

Dave and Mary depart from the bus station at 10 am traveling in opposite directions. Dave's bus is going 40 miles per hour and M

ary's is going 50 miles per hour. At what time will they be 270 miles apart?
Mathematics
2 answers:
loris [4]3 years ago
8 0
  In 3 hours they will be 270 miles apart.
NemiM [27]3 years ago
8 0
Since Dave and Mary are going opposite directions every hour mary will be moving 50 miles away and Dave will be moving 40 miles away meaning they will move 90 miles away from each other every hour. So 270 is 90 times three so in three hours they will be 270 miles away so at 1 pm they will be 270 miles apart.
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Amma hikes 2and3/4 miles of nature trail in 1 hour and 15 minutes. How many miles does Amman hike per hour?
LekaFEV [45]
Formula
====
d = r * t

Givens
======
d = 2 3/4
t = 1 hour 15 minutes 
r = ????

Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes

1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours

Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles

Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour

Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 =  5/4

r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
6 0
3 years ago
Write all the factors of 21<br> Use commas to separate them.
Hatshy [7]

Answer:

1, 3, 7, 21

Step-by-step explanation:

1, 3, 7, 21

(The bolded is one factor and the other that is not bolded is another factor)

1 times 21 is 21

3 times 7 is 21

7 0
2 years ago
Two or more expressions joined by an inequality sign is called
marta [7]

Answer:

inequality

Step-by-step explanation:

Inequality are two or more expressions joined by an inequality sign is called

6 0
2 years ago
Evaluate the expression x^4+9x^2 when x=-3
aalyn [17]

Answer:

162

Step-by-step explanation:

Step 1: Define

x⁴ + 9x²

x = -3

Step 2: Substitute and Evaluate

(-3)⁴ + 9(-3)²

81 + 9(9)

81 + 81

162

6 0
3 years ago
Read 2 more answers
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Vesnalui [34]
3x + 40 + x = 180
-40. -40
——————————-
4x. 140
—. ——-
4. 4

x = 35
4 0
2 years ago
Read 2 more answers
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