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aleksley [76]
3 years ago
15

At 10:00 am, Han and Tyler both started running toward each other from opposite ends of a 10 mile path along a river. Han runs a

t a pace of 12 minutes per mile Tyler runs at a pace of 15 minutes per mile, HOW FAR DOES HE RUN AFTER AN HOUR?
Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

Tyler runs 4 miles, and Han runs 5 miles.

Step-by-step explanation:

60 minutes in an hour.

60/12=5 miles for Han

60/15=4 miles for Tyler

Luden [163]3 years ago
4 0
<h2>Answer:</h2>

Figure out how far each ran in an hour - and see if that is more than the halfway

Do a unit analysis to get the units you want distance/hour (or hour/distance)

So Han runs 12 minutes/mile ( 1hour/60minutes) = distance in one hour = 5 miles.

Tyler runs at 15 minutes/mile (1hour/60 minutes) => 4 miles in one hour

So if Hans ran 5 miles east (right) and Tyler 5 miles west (left opposite) - they did not meet.

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· Evaluate f(2a + b), where f(x) = 4x2 – 3x.​
spayn [35]

Answer:

2af+bf = 2af+bf

Step-by-step explanation

f(x) = 4x2 – 3x. =  x(4x−3)

5 0
3 years ago
List the integers that satisfy both of these inequalities 2x+9&lt;0 x&gt;-12 put the answers on one line
lbvjy [14]

Answer:

<em>-11, -10, -9, -8, -7, -6 and -5 </em>

Step-by-step explanation:

Given the inequality expressions

2x+9<0  and x>-12

2x+9<0

2x< 0-9

2x < -9

x < -9/2

x < -4.5

Since x >-12

-12 < x

Combining both inequalities

-12 <x  < 4.5

<em>The integers between the intervals are -11, -10, -9, -8, -7, -6 and -5 </em>

6 0
3 years ago
1. Identify a pair of alternate exterior angles.
KonstantinChe [14]

Answer:

d. ∠2 and ∠6

Step-by-step explanation:

Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Option a. ∠3 and∠4

These angles are interior angles.

Option b . ∠1 and∠2

These angles are linear pair.

Option c . ∠1 and ∠6

These angles are outer angles

Option d . ∠2 and ∠6

According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles

Hence Option d is pair of alternate exterior angles.

4 0
3 years ago
The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially. How many grams of the su
STALIN [3.7K]

Answer:

There are 2,000 grams left after 300 years.

Step-by-step explanation:

Giving the following information:

The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.

<u>First, we need to calculate the reduction of the substance each year:</u>

Yearly reduction= 8,000/400= 20 grams per year

<u>Now, for 300 years:</u>

300 year reduction= 20*300= 6,000

There are 2,000 grams left after 300 years.

6 0
3 years ago
The equation of the line pass through the points (-4,2) and (-5,2) is
ivanzaharov [21]

Answer:

  y = 2

Step-by-step explanation:

Both points are on the horizontal line ...

  y = 2

__

<em>Additional comment</em>

A horizontal line has equation y = constant. A vertical line has equation x = constant.

7 0
3 years ago
Read 2 more answers
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