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frez [133]
3 years ago
10

PLEASE SHOW WORK! WORTH 40 POINTS!!!!!!!

Mathematics
2 answers:
raketka [301]3 years ago
8 0

Answer:

80 and 90 mph

Step-by-step explanation:

Given that A and B have a distance of 1029 miles between them.  Two trains each start from A and B and move towards each other.

Let the speed of I train be s

Then speed of second train = s+10 (since 10 greater than speed of I train)

Relative speed = s+s+10 = 2s+10

In 5 hours they travelled together a distance of 1020-170 =850 miles

Distance travelled = 850 miles

Relative speed = 2s+10

Time taken = 5 hours

Since distance = time x speed

we have

5(2s+10) =850

2s+10 =170

s = 80

Speed of the trains are 80mph and 90 mph

Rudik [331]3 years ago
7 0

Answer:

From points A and B, the distance between which is 1020 mi

The speed of one train was 10 mph greater than the speed of the other one

Let the Speed of first train is x

Speed of second train is x+ 10

Time = 5 hours

Distance = speed * time

Distance traveled by first train = x * 5= 5x

Distance traveled by second  train = (x+10) * 5= 5x + 50

the trains had not met yet and were 170 mi apart.

the distance between A  and B is 1020 mi, Distance traveled by two trains = 1020 - 170 = 850 miles

Distance traveled by first train + second train = 850

5x + 5x + 50 = 850

10x + 50 = 850

Subtract both sides by 50

10x = 800

x= 80

Speed of first train is 80 miles per hour

Speed of second train is 90 miles per hour

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zysi [14]

Answer:

Sean earns $7.5 in each hour.

Step-by-step explanation:

Given:

Money earned by Sean = $300

Number of hours worked in a day = 8 hrs

Number of days of work  in a week = 5

We need to find Money earned in each hour.

First we will find Total hours work in a week.

Total hours work in a week is equal to Number of hours worked in a day multiplied by number of days work in a week.

Framing in equation form we get;

Total hours worked in a week = 8\times5 = 40\ hrs

Now we will find money earned for each hour.

Money earned each hour will be calculated by Dividing Total Money earned in a week by Total number of hours worked in a week.

Framing in equation form we get;

Money earned each hour = \frac{300}{40} = \$7.5

Hence Sean earns $7.5 in each hour.

8 0
3 years ago
a ball is dropped from a height of 20 feet above the ground. The velocity v(s) of the ball after it has travelled a distance of
Lana71 [14]
<h2>We know that</h2>

The initial height is 20 feet above the ground.

The function to model the velocity is

v(s)=60s

Where <em>s</em> represents the distance in feet.

Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.

Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.

<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>

<em />

Using interval notation would be

D\colon\lbrack0,20\rbrack

4 0
1 year ago
One leg of a 45° -45° - 90° triangle is 8 cm long. Determine the length of the hypotenuse.​
galben [10]

Answer:

8\sqrt{2}

Step-by-step explanation:

5 0
3 years ago
Simplify.<br><br> n 6 · n 5 ÷ n 4 · n 3 ÷ n 2 · n
trasher [3.6K]

Answer: n^{9}

Step-by-step explanation:

Given expression: n^6\cdot n^5\div n^4\cdot n^3\div n^2\cdot n

The law of exponents are given by :_

a^m\cdot a^n=a^{m+n}\\\\a^m\div a^n=a^{m-n}

Using PEDMAS, first we solve division, we get

n^6\cdot n^{5-4}\cdot n^{3-2}\cdot n\\\\=n^6\cdot n\cdot n\cdot n

Now, using product law of exponent we get

n^{6+1+1+1}\\\\=n^{9}

7 0
3 years ago
Read 2 more answers
HELPPPPP MEEEEE!!! #7
marysya [2.9K]
Angle 6 and Angle 7 are each 90° since they’re on a straight line and are both equal.
180-90= 90
*you subtract from 180 because that’s how many degrees are in a straight line*
Angle 7 and Angle 1 are alternate exterior angles so that makes them congruent by definition.
7 0
3 years ago
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