MATHEMATICS MIDDLE SCHOOL

Express 30 minutes per day as a ratio in simplest form.

Answers

Answer 1
Answer: 1 Day= 24 hours
= 24 ×60 minutes
= 1440
30:1440
=1:48
Answer 2
Answer: I believe it's 30:365 or you can write it as 30/365 as a fraction or just 30 to 365 .

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A long-distance telephone company charges a rate of 5 cents per minute or a 60-cent minimum charge per completed call, whichever is greater. Find the cost, in cents per minute, for a 2-minute call.

A shipping crate contains 576 boxes of cereal. you open the top of the crate and you count 12 boxes across the front and 6 along a side. How many layers of cereal boxes are in the crate?

Answers

There are 8 layers in the crate!
Our volume is 576 units, or cereal boxes. 576 = 12 × 6 × UNKNOWN.
We can find our unknown number by dividing:
576 ÷ 12 ÷ 6 = 8 layers!
I hope this explained it! 
ok so there is 12 boxes by 6 boxes per layer 
so that is 72 boxes per layer 
the crate has 576 boxes 
therefore 
576/72 
and the answer is 
8 layersi hope it helped you :-}

2/3 <or>or= 2/5 what is the answer is don't understand

Answers

2/3 can also be put as 2÷3. you would get 0.6 repeating. and 2/5 can be put as 2÷5 which would be 0.4. Because 0.6 is bigger than 0.4 (even though it is repeating), 2/3 < 2/5

What has six eyes but cannot see

Answers

I think you mean "five"

- Mississippi
The three blind mice.
They have six eyes amongst them, but none of them can see.

Find 1+ 2+ 3+ 4+ ... +50, the sum of the first 50 natural numbers.
The sum is

Answers

Step-by-step explanation:

First term(a) = 1

Common difference(d)=2-1=1

No.of term(n)=50

Sn=n÷2(n+1)=50÷2(50+1)=1275

Which expressions are equal to a real number?

Answers

Answer:

Option B

Option C

Step-by-step explanation:

$ i = √(-1) $

⇒ $ i^2 = (√(-1))^2 = -1 $, which is a real number.

Similarly, $ i^3 = i^2.i = -1 * i = -i $

And we also know that $ i^4 = 1 $

So, we see that odd powers of $ i $ is a complex number and even powers renders us a real number.

Using this we solve the problem.

Option A:$ (-4i)^(11) $ 11 is an odd power. This would be a complex number and not a real number.

Option B:$ (-3i)^(12) $ Even power of i. So, this should give us a real number.

Option C:$ (2 + 3i)^2 $

                            (a + bi)² = a² - b² + 2abi

So, (2 + 3i)² would be a complex number because of the 2bi term.

Option D: (4 + 5i)(4 - 5i)

                         (a + ib)(a - ib) = a² + b²

So, (4 + 5i)(4 - 5i) = 4² + 5² = 41, a real number.

Option E: (6 + 8i)(8 + 6i)

                     (a + ib)(c + id) = ac - bd + (ad + bc)i

This would be a complex number because of the (ad + bc) term.

So, Options B and D are real numbers.

D(5, 7), E(4, 3), and F(8, 2) fprm the vertices of a triangle. What is m ZDEF?A.
30°
B.
45°
60°
D.
90°

Answers

it’s DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
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