There are 17 girls and 13 boys in a school club. What is the percent of the members are girls?

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

131%

Step-by-step explanation:

17:13

17 ÷ 13 = 1.3076923076923 = 130.76923076923%

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How many numbers between 1 and 2005 are integer multiples of 3 or 4 but not 12?

siniylev [52]

Count the number of multiples of 3, 4, and 12 in the range 1-2005:

⌊2005/3⌋ ≈ ⌊668.333⌋ = 668

⌊2005/4⌋ = ⌊501.25⌋ = 501

⌊2005/12⌋ ≈ ⌊167.083⌋ = 167

(⌊x⌋ means the "floor" of x, i.e. the largest integer smaller than x, so ⌊a/b⌋ is what you get when you divide a by b and ignore the remainder)

Then using the inclusion/exclusion principle, there are

668 + 501 - 2•167 = 835

numbers that are multiples of 3 or 4 but not 12. We subtract the number multiples of 12 twice because the sets of multiples of 3 and 4 both contain multiples of 12. Subtracting once removes the multiples of 3 and 4 that occur twice. Subtracting again removes them altogether.

7 0

3 years ago

Find the measure of x in each figure.

Alex

Step-by-step explanation:

Because 2x and 40° are complementary angles.

$\therefore \: (2x) \degree + 40 \degree = 90 \degree \\ \\ \therefore \: (2x) \degree = 90 \degree - 40 \degree \\ \\ \therefore \: (2x) \degree = 50 \degree \\ \\ \therefore \: 2x = 50 \\ \\ \therefore \: x = \frac{50}{2} \\ \\ \huge \red{ \boxed{ \therefore \: x = 25}}$