MATHEMATICS MIDDLE SCHOOL

If an ant runs randomly through an enclosedcircular field of radius 2 feet with an inner circle of
radius 1 foot, what is the probability that the ant will
be in the inner circle at any one time?
a.1/8
b 1/6
c 1/4
d.1/2
e 1

Answers

Answer 1
Answer: The area of a circle is π (radius²)

The area of the outer (2-ft) circle is π (2²) = 4 π square feet.

The area of the inner (1-ft) circle is π (1²) = 1 π square feet.

The inner circle covers 1/4 of the area of the outer circle.

So if the ant wanders around totally aimlessly and randomly, and there's no way to
know where he came from, where he is now, or where he's going next, and there's
an equal chance of him being anywhere in the big circle at any time, then there's a
25% chance of him being inside the small circle at any time, because 1/4 of the
total area is in there.

That's choice c).

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Which expression is equivalent to -3(4x-2)-2x

Answers

Answer:

-14x+6

Step-by-step explanation:

-3(4x-2)-2x

-12x+6-2x

-12x-2x+6

-14x+6

E. 65,124 rounded to the nearset thousand is f. 99,451 rounded to the nearest thousand is

g. 60,488 rounded to the nearest ten thousand is

h. 80,801 rounded to the nearest ten thousand is

i. 897,100 rounded to the nearest ten thousand is

j. 880,005 rounded to the nearest hundred thousand is

k. 545,999 rounded to the nearest hundred thousand is

l. 689,114 rounded to the nearest hundred thousand is

Answers

Answer:

e. 65,000

f. 99,000

g. 60,000

h. 80,000

i. 900,000

j. 900,000

k. 500,000

l. 700,000

Step-by-step explanation:

Since, when we round a number to the nearest thousand then we check the digit at hundred place,

If the hundred place digit is less than 5 then the number is rounded to previous thousand,

If the digit is 5 or more than 5 then the number is rounded to next thousand,

So, 65,124 ≈ 65,000

99,451 ≈ 99,000

The above procedure is follow in rounding both nearest ten thousand and hundred thousand,

But, in rounding nearest ten thousand and hundred thousand we check thousand place digit and ten thousand place digit respectively,

Hence, 60,488 ≈ 60,000

80,801 ≈ 80,000

897,100 ≈ 900,000

880,005 ≈ 900,000

545,999 ≈ 600,000

689,114 ≈ 700,000
e. 65,000
f. 99,000
g. 60,000
h. 80,000
I. 900,000
j. 900,000
k.500,000
l. 700,000

Which is greater 2/3 or 1/3

Answers

Lets say you have a pizza which is cut into 3 pieces. Now if you get 2 slices and your friend gets 1 slice. Since you got more it means that you got bigger portion than you friend.
because they are both 3 on the bottom so you should see if 2 is bigger than 1 or not, and the answer is yes! 
so 2/3 is greater than 1/3 :)))
I hope this is helpful
have a nice day

Marisa wants to buy a DVD player that runs for at least $150. She already saved $ 80 and plans to save an additional $ 10 each week. Write an inequality that represents this problem and explain your answer in detailed steps.

Answers

x=number of weeks
the inequality is:
10x+80≥150

Now, we solve this inequality:
10x+80≥150
10x≥150-80
10x≥70
x≥70/10
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Solution: Marisa needs to save at least 7 weeks for she can buy the DVD

A teacher has a bag of 100 unit cubes.She gives an equal number of cubes to each of the 7 groups in her class.She gives each group as many cubes as she can.How many unit cubes are left over

Answers

Based on the number of cubes and the number of groups, the cubes left afterwards are 2 cubes.

There are 7 groups and each will get an equal number of cubes from the 100 cubes.

The number each will get is:

= 100 / 7

= 14 cubes

The total remaining cubes is:

= Total number of cubes - Cubes to 7 groups

= 100 - ( 7 x 14)

= 2 cubes

In conclusion, 2 cubes will be left.

Find out more on such division at brainly.com/question/11764103.
100 divided by 7 is 14 r 2, so there are 2 left over

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b. 0.1
c. 0.7
d. 1.2
(PLEASE EXPLAIN HOW YOU RECEIVED YOUR ANSWER)

Answers

The correct answer is 0.1. C and D can automatically be eliminated because Emily is a good student who is likely to attend school. This leaves A and C, but A can be eliminated because there is still a possibility Emily will miss class.
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