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deff fn [24]
3 years ago
13

What is half of £5.20??

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0
2.60pounds :)
.......................
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(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf
alisha [4.7K]

Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have 3^n coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of \frac{3^n}{3} = 3^{n-1} coins

Step 2: you narrow down to group of \frac{3^{n-1}}{3} = 3^{n-2} coins

Step 3: you narrow down to group of \frac{3^{n-2}}{3} = 3^{n-3} coins

...

Step n: Step 1: you narrow down to group of 3^{n-n} = 3^0 = 1coin

8 0
3 years ago
Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
In a scale drawing of Sheikra, a designer
I am Lyosha [343]

Answer:

Doodoo

Step-by-step explanation:

doodoo

7 0
3 years ago
Please help me i really need jt
Dahasolnce [82]

Answer:

Step-by-step explanation:

34

6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!
Ne4ueva [31]

Answer:

Equation: 30=2(x-2)+2(2x+3)

x:\frac{14}{3}

Step-by-step explanation:

By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.

Knowing this, you can write the following equation:

P=2(x-2)+2(2x+3) <em> [Equation 1]</em>

According to the data given in the exercise, the perimeter in feet of the fighter is:

P=30

Therefore, you can substitute this values into<em> [Equation 1]:</em>

30=2(x-2)+2(2x+3)

Finally, you must solve for "x" in order to find its value. This is:

30=6x+2\\\\30-2=6x\\\\\frac{28}{6}=x\\\\x=\frac{14}{3}

3 0
3 years ago
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