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3 years ago

Five students divided 74 base ten rods equally among them. how many base ten rods were left over?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

1 rod was left over.

Svetlanka [38]3 years ago

5 0

74/5=14.8 You can't have .8 of a base ten rod so take 13 instead.
Each person gets 13

1-13
2-13
3-13
4-13
5-13

13*5=65
74-65=9

There are 9 base ten rods left! I hope this helps :)

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Linda left home and drove for 2 hours. She stopped for lunch then drove for another 3 hours at a rate that is 10 mph higher than

Verdich [7]

Answer:

44 mph

Step-by-step explanation:

Given that:

Before lunch :

Time taken = 2hrs ; at speed = x mph

After lunch :

Time taken = 3hrs ; at speed = x + 10 mph

Total distance covered = 250 miles :

Distance = speed * time

(2 * x) + (3 * (x + 10)) = 250

2x + 3x + 30 = 250

5x + 30 = 250

5x = 250 - 30

5x = 220

x = 220/ 5

x = 44 mph

Rate before lunch is 44mph

6 0

3 years ago

Priya and Han both factored the number 80. Priya says they should both get the same answer even if they started with different f

meriva

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

4 0

2 years ago

If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commuto f

notka56 [123]

Answer:

Yes, a loan would meet our requirement to commute for an impressive summer internship program next year

Step-by-step explanation:

Taking a loan would meet our requirement of buying a car. We will be able to make the downpayment. This will enable us to buy a car. So the decision to take the loan will be valid. It will help us in commuting easily for the summer internship program. We will immediately get the car after making a down payment and will avail of the benefits of using the car. This is a healthy type of debt.

4 0

3 years ago

The following table shows a portion of a three-year amortization schedule.

shepuryov [24]

Answer:

C) The amount applied to the principal is increasing each month.

Step-by-step explanation:

I took the test

6 0

3 years ago

Read 2 more answers

What is the measure of angle 1?

tatiyna

Answer:

27 degrees

Step-by-step explanation:

The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.

The longer, more drawn out answer goes as follows. See the image to understand the notation I use:

AOE + BOD + BOA + DOE = 360
AOE + BOD = 90 + 36 = 126
BOA + DOE = 360 - AOE - BOD = 234
Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
Likewise, OBA = (180 - BOA) / 2
Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27

Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.

5 0

2 years ago