MATHEMATICS COLLEGE

Each person plans to take 2 slices of pizza.mark concludes that he would get more pizza by taking 1 slice from each pizza.instead of 2 slices from the first pizza

Answers

Answer 1
Answer:

Answer:

No if you only get two slices, it doesn't matter which pizza you take it from you still only get 2 slices.

Step-by-step explanation:

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During a ​5-year ​period, 24​% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the ​5-year period.

Answers

Answer: my 8 year old step sis likes me

Step-by-step explanation: plz help

-3 < 5 true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

true?

Step-by-step explanation:

4.1 Number Talk: DivisionFind each quotient mentally.

645 divided by 100

645 divided by 50

48.6 divided by 30

48.6 divided by x

Answers

Answer:

645/100 = 129/20 or 6.45

645/50 = 129/10 or 12.9

48.6/30 = 1.62

48 divided by x = 48.6/x

Step-by-step explanation:

645/100

Factor the number:

= 5*129/100

Factor the number:

= 5*129/5*20

Cancel the common factor:

= 129/20

645/50

Factor the number:

5*129/50

Factor the number:

5*129 / 5*10

Cancel the common factor:

= 129/10

48.6/30

Write the problem in long division format

Multiply the quotient digit (1) by the divisor (30)

Subtract 30 from 48

Add a decimal and bring down the next number

Divide 186 by 30 to get 6

Continue...A few steps later...

Subtract 60 from 60

Solution is 1.62

48.6/x

Re-write division as a fraction:

48.6/x

On 1st September 2014 there were 5400 trees planted in a wood.On 1st September 2015, only 5184 of these trees were still alive.
It is assumed that the number of trees still alive is given by N = art
where / is the number of trees still alive t years after 1st September 2014.
a) Write down the value

c) Show that on 1st September 2040
the number of trees still alive is predicted
o have decreased by over 65% compared
with September 2014.

b) Show that r = 0.96​

Answers

Answer:

1. a = 5400

2. r = 0.96

3. Percentage decrement = 65.4%

Step-by-step explanation:

Given

N = ar^t

Solving (a): Write down the value of a

a implies the first term

And from the question, we understand that the initial number of trees is 5400.

Hence,

a = 5400

Solving (b): Show that r = 0.96

Using

N = ar^t

When a = 5400, t = 1 i.e. the first year and N = 5184

Substitute these values in the above expression

5184 = 5400 * r¹

5184 = 5400 * r

5184 = 5400r

Solve for r

r = 5184/5400

r = 0.96

Solving (c): Show that the trees has decreased by over 65% in 2040

First, we need to calculate number of years (t) in 2040

t = 2040 - 2014

t = 26

Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left

N = 5400 * 0.96^26

N = 1868.29658019

N = 1868 (approximated)

Next, we calculate the percentage change as thus:

%Change = (Final - Initial)/Initial * 100%

Where the initial number of trees =5400 and final = 1868

%Change = (1868 - 5400)/5400 * 100%

%Change = -3532/5400 * 100%

%Change = -3532%/54

%Change = -65.4%

The negative sign indicates a decrements or reduction.

Hence, percentage decrement = 65.4% and this is over 65%

A sphere fits snugly inside a cube with 2.4 m. edges. What is the approximate volume of the space between the sphere and cube to the nearest tenth?

Answers

Area of cube = s*s*s = 2.4 * 2.4 * 2.4 = 13.824 m³

Since the sphere is snugly fit in the cube, so the diameter of the sphere is equal to the length of the cube.

d = 2.4m, radius, r = d/2 = 2.4/2 = 1.2 m

Volume of sphere = (4/3)πr³

                                 = (4/3)*π*1.2*1.2*1.2 = 2.304π

                                 ≈ 2.304*3.1416 ≈ 7.2382 m³

Volume of space between sphere and cube = Volume of cube - Volume of sphere

                                                     = 13.824 m³ - 7.2382 m³ = 6.5858 m³

Volume ≈ 6.6 m³      to the nearest tenth

Hope this helps.

Estimate the product by rounding 4×472

Answers

4*500=2000

Answer = 2000

Answer:

i think it would be 2000

Step-by-step explanation:
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