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Vitek1552 [10]
2 years ago
6

6 people equally share 56 gummy worms. How many gummy worms does each person get? Nine and one sixth gummy worms nine and two si

xths gummy worms ten and one sixth gummy worms ten and two eighths gummy worms
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
6 0

Answer:

nine and two sixths gummy worms

Step-by-step explanation:

54/6 = 9

56 - 54 = 2

so answer:

9 2/6 - nine and two sixths gummy worms

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A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th
snow_lady [41]

Answer:

The total of cells will the organism have after 6 minutes is 252

Step-by-step explanation:

* Lets consider this problem as a geometric series

- There is a constant ratio between each two consecutive numbers

Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric series:

∵ U1 = a  ,  U2  = ar  ,  U3  = ar^2  ,  U4 = ar^3  ,  U5 = ar^4

∴ Un = ar^n-1

- Where r is the ratio between each two consecutive terms and

 n is the position of the number in the series

* The sum of first n terms of a Geometric Progression is calculate from

 Sn = a(1 - r^n)/1 - r  

- In the problem the cell split every minute

- The organism has 4 cells when the cells begin to split

∴ a = 4

# 4 , 8 , 16 , 32 , .......

∴ r = 2

- The total of cells will the organism have after 6 minutes can

  calculate from the rule of the sum

∴ S6 = 4(1 - 2^6)/1 - 2 = 4(1 - 64)/-1 = 4(-63)/-1 = 252 cells

4 0
3 years ago
Work out the area of a triangle of base 8.2m and height 5m
11Alexandr11 [23.1K]
Area of a triangle is calculated by using the formula A=1/2bh
A= 1/2 (8.2) (5)
A=1/2 (41)
A=20.5 or 20 1/2, whichever way you think your teacher wants it.
5 0
3 years ago
Read 2 more answers
The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease
Arturiano [62]

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

l\times w = 1440 \ \ \ \ equation\ 1

Also we know that Perimeter of rectangular field is given by 2 times sum of  Length and width.

framing in equation form we get;

2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2

Now Substituting equation 2 in equation 1 we get;

l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0

Now we will find the root by factorizing the same we get;

w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\

Now solving for each to find the value of 'w' we get;

w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.

We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = \frac{4}{40}\times 100 = 10\%

Hence If Length is decreased by 10% then it would become a square.

6 0
3 years ago
Find Au B if A ={ 4,7,10,13,17} and B={3,5,7,9}.
Marrrta [24]
Combine the two sets to form one giant set. If needed, toss out any duplicate values.

So,
A U B = {4,7,10,13,17,  3,5,7,9}

Toss out the duplicate item "7" and sort the values to get

A U B = {3,4,5,7,9,10,13,17}
4 0
3 years ago
Read 2 more answers
Line s passes through points (7, 10) and (2, 14). Line t is parallel to line s. What is the slope of line t?
notsponge [240]

Answer:

The slope of line t is -4/5.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(2-7)

m=4/-5

Parallel lines have same slopes.

4 0
3 years ago
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