MATHEMATICS MIDDLE SCHOOL

the mass of the sun is about 2×10^27metric ton ,or 2×10^30 kilograms.How many kilograms are in one metric ton ?

Answers

Answer 1
Answer: There are 10^3kg in 1 metric ton

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HIGH SCHOOL

Bob is training for a race. Bob ran 14.6 miles away from his home. Then, Bob ran 9.8 miles towards his home. Finally, Bob ran 5.3 miles away from home. How far is Bob from his home

Answers

Answer:

Bob is 10.1 miles away from his home....

Step-by-step explanation:

1) Bob ran 14.6 miles away from his home

2)  Bob ran 9.8 miles towards his home

3) Bob ran 5.3 miles away from home

Bob was 0 miles away when he started running

If he starts running from his home for   14.6  miles, you would add  14.6 miles to 0 miles. When he travels away from home we will add up the distance he travels. But when he travels towards his home we will subtract the distance he travels.

0 miles + 14.6 miles

Now subtract 9.8 miles from 14.6 miles because he is travelling towards his home.

0 miles + 14.6 miles - 9.8 miles

Now Bob runs  5.3 miles away from home, we must add 5.3 miles:

0 miles + 14.6 miles - 9.8 miles + 5.3 miles

Now solve the expression:

0 miles + 14.6 miles - 9.8 miles + 5.3 miles

= 10.1 miles

Bob is 10.1 miles away from his home....

HIGH SCHOOL

Arla and kal both work in jobs where they get paid by the hour in their first week on the job they each worked 40 hours and together

Answers

Question is Incomplete;Complete question is given below;

Arla and kal both work in jobs they get paid by the hour in their first week on the job they each worked 40 hours and together there total earnings were $1300 in their second week on the job business was slow so arla worked 20 hours and kal worked 16 hours their total pool earning was $580 what is each persons hourly wage.

Answer:

The hourly wage of Arla is $15 and hourly wage of Kal is $17.5.

Step-by-step explanation:

Let the hourly wage of Arla be

Also Let the hourly wage of Kal be

Now Given:

first week on the job they each worked 40 hours and together there total earnings were $1300

So we can say that;

  ⇒ equation 1

Also Given:

Number of hours worked by Arla in second week = 20

Number of hours worked by Kal in second week = 16

Total Money earned in second week = $580

So we can say that;

  ⇒ equation 2

Now Multiplying equation 2 by 2 we get;

Applying Distributive property we get;

  ⇒ equation 3

Now Subtracting equation 3 from equation 1 we get;

Now Dividing both side by 8 we get;

Now Substituting the value of y in equation 1 we get;

Hence The hourly wage of Arla is $15 and hourly wage of Kal is $17.5.

MIDDLE SCHOOL

Each floor of a hotel has r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation.

Answers

Answer:

Step-by-step explanation:

Given : Each floor of a hotel has r rooms.

Then, Total number of rooms in 8 floors will be:-

8 x Number of rooms in each floor

Total number of rooms in 8 floors = 8r                                             (1)

Also, On 8 floors, there are a total of 256 rooms.

⇒                    [from (1)]

Hence, the  equation represents the given situation will be :-

8r=256... so 32 rooms per floor.
MIDDLE SCHOOL

David ran 4 1/4 miles, Shane ran 4 1/2 miles, and Matt ran 4 5/8 miles. How ran the farthest?

Answers

Matt ran the farthest. David ran the least and Shane was the second farthest runner. Since half of 8 is 4, that shows that it is 1/8 shorter than what Matt ran.
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