MATHEMATICS MIDDLE SCHOOL

14) Which of the following rational numbers have three digits that repeat in it's decimal equivalent?Select all that apply please, thank you :)
A) 3/8
B) 10/21
C) 11/27
D) 8/35
E) 7/37

Answers

Answer 1
Answer:

3/8 = 0.375

10/21 = 0.4761904761904761

11/27 = 0.407407407407407

8/35 = 0.2285714285714286

7/37 = 0.189189189189189


both 11/27 and 7/37 have three digits that repeat in it's decimal equivalent

10/21 has six digits that repeat

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Can the sum of two mixed numbers be equal to 2? explain why or why not.

Answers

no it cannot because a mixed #  for example would look like this 2 3/5 it will need a whole number and a fraction
The reason why I say NO is because you can only have 1 mixed number in 2 and that would be 1 1/2 (1 1/2 + 1/2 = 2) And when you try again your numbers will be 1 and 1. So NO, you cannot have to mixed numbers in the number 2

A piece of string is 112 inches long. Isabel wants to cut it into 2 pieces so that one piece is three times as long as the other. How long is each piece?

Answers

you have to divide 112 by 2 which is 56 then multiply it by three and you get 168
 

What is 8.57x10-⁴ in standered form ?

Answers

Kaleerain5,

In order to get your answer you must remember that if the exponent is negative move to the left and if the exponent is positive you have to move to the right.

  • 8.57 * 10^(-4)
  • The exponent is negative so move to the left:
  • 8. = .8 = .08 = .008 = .0008
  • = .000857

Therefore your answer is ".000857."

Hope this helps!

PLEASE SOMEONE HELP AND EXPLAIN THE FIRST ONE PLEASE SO THE HALF LIFE OF A RADIOACTIVE KIND OF POTASSIUM IS 12 HRS . HOW MUCH WILL BE LEFT AFTER 36 HRS, IF YOU START WITH 64 GRAMS OF IT? SO I DID A=64(1/2)^36 POWER IS THAT THE ACCURATE FORM PLEASE I NEED HELP ASAPBTW THIS IS EXPONENTIAL DECAY

Answers

Don't get carried away with the exponent.

The exponent is not the number of years or the number of hours.
The exponent is the number of half-lifes.

In this one, the half-life is 12 hours, and they want to know
how much is left after 36 hours.  36 hours is 3 half-lifes.
The formula that you did is beautiful and almost perfect.
Just change that ugly exponent to the number of half-lifes (3)
and the answer will jump out at you.
half life formula is
F=P(1/2)^(t/h)

F=furure or ending amount
P=present amount
t=time elapsed
h=time the half life is


F=64(1/2)^(36/12)
F=64(1/2)^(3)
F=64(1/8)
F=8 grams

Malinda's family had walked 4/6 of a hiking trail. Owens family has walked 5/8 of another trail. Which family has walked farther? Explain your answer.

Answers

To answer this, we need to convert to the least common multiple.

The least common multiple of 2/3 and 5/8 is 24.

2 x 8 = 16 / 24

5 x 3 = 15 / 24

Malinda's family walked farther than Owen's family.

Which answer describes the calculations that could be used to solve this problem? Bonita brought 3 bags of apples and 2 pounds of grapes to the picnic. Each bag of apples weighed 4 pounds. How many pounds of apples and grapes did Bonita bring to the picnic?







A.
Add 2 + 3. Then multiply the sum by 4.





B.
Multiply 3 × 4. Then add 2 to the product.





C.
Add 2 + 4. Then multiply the sum by 3.





D.

Multiply 2 × 4. Then add 3 to the product.

Answers

if I am thinking correctly the answer is A.
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