MATHEMATICS MIDDLE SCHOOL

Ben is 3 times as old as Daniel and is also 4 years older than Daniel.
How old is Ben?

Answers

Answer 1
Answer: B=ben age
D=daniel age

B is 3 times D
B=3D

B is 4 older than D
B=4+D

3D=B=4+D
3D=4+D
minus D both sides
2D=4
divide 2
D=2
sub

B=3D
B=3(2)
B=6

ben is 6 years old

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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

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).

What number can go into 33 and 121

Answers

11

Because 11x3 is 33
And 11x11 is 121

Hope this answer helped!!
33/11=3
121/11=11
Therefore, the answer is 11.

In 1 week there are 7 days how many weeks in 210 days

Answers


210/= 30 so the answer is 30

There are 30 weeks in 210 days. 210/7=30

The possible outcomes for rolling a pair of fair dice are shown.What is the probability of rolling a sum that is a multiple of two? PLEASE HELP FAST

A) 4/9
B) 1/3
C) 1/2
D) 1/4

Answers

1/4
Because......
Dice=6
From 1-6, only 2,4,6 are even numbers( or multiple of 2 )
So 3 ( numbers of even numbers ) /6
There are two dices we need to roll..
So 3/6 X 3/6
We simplify 3/6 by 2 :
1/2 X 1/2

Which equals 1/4

You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600? Use the formula: I = Prt.

Answers

Hence, It will take 4 years.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

i.e. t = I/Pr

we have,

Note the 600 is the total amount in the account.

Therefore Interest, I = 600 - 500 = 100.

t = 100 / (500 * 5%)

t =  100 / (500 *0.05)

t = 4

Hence, It will take 4 years to reach $600.

To learn more on interest click:

brainly.com/question/29335425

#SPJ3
t = I/Pr

Note the 600 is the total amount in the account.

Therefore Interest, I = 600 - 500 = 100.

t = 100 / (500 * 5%)

t =  100 / (500 *0.05)

t = 4 

It will take 4 years.

(3-7n^2+3n^3)-(6n^3-1-5n^2). Simplify.

Answers

Simplify

3 - 7n^2 + 3n^3 - (6n^3 - 1 - 5n^2)

Simplify brackets

3 - 7n^2 + 3n^3 - 6n^3 + 1 + 5n^2

Collect like terms

(3 + 10) + (-7n^2 + 5n^2) + (3n^3 - 6n^3)

Simplify

4 - 2n^2 - 3n^3

Answer:

-3n^3 - 2n^2 + 4.

Step-by-step explanation:

(3-7n^2+3n^3)-(6n^3-1-5n^2)

First distribute the negative over the second parentheses:

= 3 - 7n^2 + 3n^3 - 6n^3 + 1 + 5n^2

Now simplify like terms:

= -3n^3 - 2n^2 + 4 (answer).
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