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2 years ago

Express 27p as a percentage of £9

Mathematics

2 answers:

ruslelena [56]2 years ago

7 0

Answer:

Step-by-step explanation:

27/900=0.03x100=3%

Finger [1]2 years ago

3 0

Answer:

27% of £9 is £2.43

Step-by-step explanation:

27% of £9

This becomes

(27/100)*9

=243/100

= £2.43

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Which of the following equations is equivalent to log(y)= 3.994 ?

Kisachek [45]

Answer:

The correct answer is option D: $y = 10^{3.994}$

Step-by-step explanation:

Given:

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

$y =log_b(x) => b^y =x$

For $x > 0, b >0, b \neq 1$

Also if no base b is indicated, the base of the logarithm is assumed to be 10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

$log_{10}(y)= 3.994$

Then

$y = 10^{3.994}$

4 0

2 years ago

If your front lawn is 17.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1050 new snowflakes every minu

Alexus [3.1K]

Answer: 42.84 kg

Step-by-step explanation: Lawn is 17 ft x 20 ft.

Its area is S = 17 x 20 = 340 ft²

Each ft² of lawn accumulates 1050 snowflakes/min, 1ft² = 1050 s.f./min.

As 1 hour has 60 min, the lawn accumulates 63000/hour →

1050 x 60 = 63000

1ft² = 63000s.f./hour

This way, 340 ft² of lawn will accumulate 21,420,000 s.f/hour →

340 x 63000 = 21420000

As 1 snowflake has 2mg, 21,420,000 will have 42,840,000 mg.

As 1kg = 1,000,000 mg

42,840,000/1,000,000 = 42.84 kg

3 0

2 years ago

Beatrice threw a stone one and seven fourteenths yards. Tilly threw a stone nine fourteenths of a yard. What is a reasonable est

scoundrel [369]

Answer:

1 yard

Step-by-step explanation:

7/14 is 1/2 while 9/14 is greater than 1/2 but a lot less than a whole. So a strong estimate would assume that it is (1 1/2)-(1/2) for the approximate difference in their throws were

8 0

2 years ago

Read 2 more answers

Laurie has $46,000 invested in stocks. The amount invested in stocks is $8,000 less than three times the amount invested in bond

svet-max [94.6K]

Amount invested in stocks = 46,000

Let "x" be the amount invested in bonds

The amount invested in stock is also = 3x - 8,000

We equate the two amounts above (Since both are related to stock investments), we get,

3x-8000 = 46000

3x = 54000

x =54000/3

x =18000

Amount that Laurie has invested in bonds = $18,000

7 0

2 years ago

In mathematics, the Nth harmonic number is defined to be 1 + 1/2 + 1/3 + 1/4 + ... + 1/N. So, the first harmonic number is 1, th

Andreyy89

Answer:

cl + 1/(N+1)

Step-by-step explanation:

If we assume that the Nth harmonic number is cl. Then we are assuming that 1+1/2+1/3+1/4+...+1/N=cl

And we know that the (N+1)th harmonic number can be found by doing

1+1/2+1/3+1/4+...+1/N+1/(N+1)

=cl + 1/(N+1)

The (N+1)th harmonic number is cl + 1/(N+1) given that the Nth term is cl