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Elina [12.6K]
3 years ago
8

In a fifth grade class 4/5 of the girls have brown hair. Of the brown-haired girls, 3/4 of them have long hair. Of the girl with

brown hair, 1/3 of them have green eyes. What fraction of the girls in the class have long brown hair?
Mathematics
1 answer:
Aleks [24]3 years ago
8 0

lets say there are 100 girls. 
4/5 of 100 is 80, so 80 girls have brown hair.
3/4 of the 80 who have brown hair have long hair.
3/4 of 80 is 60.
so we know that out of 100, 60 have long brown hair. 
in simplest fraction form, 60/100= 3/5

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yaroslaw [1]

QP=24 cm

RS=11.25 cm

QS=18.75 cm

<u>Explanation</u>:

Given that TQ bisects <RTP

therefore(1)

consider ΔRQS and ΔRPT

QS||PT,RP and RT are transversals

(alternate angles)(2)

comparing (1) and (2)

and triangle SQT is isocelus

Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)

Therefore <RQS=<RPT(corresponding angles)

<RSQ=<RTP(corresponding angles)

therefore by AA criterion for similarity

ΔRQS~ΔRPT

According to the property of similar triangles

RQ/RP=RS/RT=QS/PT9/RP=X/30=QS/50\\9/RP=X/30=(30-X)/50\\X/30=(30-X)/50\\50X=30(30-X)\\50X=900-30X\\50X+30X=900\\80X=900\\X=900/80=11.25\\RS=11.25 cm\\QS=30-X=30-11.25\\QS=18.75 cm\\9/RP=X/30\\9/RP=11.25/30\\9*30/11.25=RP\\RP=24 cm

3 0
3 years ago
What is 2Log5(5x^3)+1/3log5(x^2+6 written as a single logarithm?
AveGali [126]

An important rule of logs is a*log b = log b^a.

Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or

(log to the base 5 of ) (25x^6).

Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).

Here, the addition in the middle of the given expression indicates multiplication:

2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.

Here we've expressed the given log quantity as a single log.

5 0
3 years ago
Read 2 more answers
Please help me……………………………………………………………
Irina18 [472]

Hey there! :)

Answer:

x = -6.

Step-by-step explanation:

Given:

\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}

Cube both sides:

5x - 4 = 7x + 8

Subtract 5x from both sides:

-4 = 2x + 8

Subtract 8 from both sides:

-12 = 2x

x = -6.

3 0
4 years ago
A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?
Ierofanga [76]

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is <em>wl</em> or <em>width </em>x <em>length</em>, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Hope this helps!

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2 years ago
A dance club has 51 members and 30 of them are college students. Also, 22 of the club members are female and 10 of these females
Readme [11.4K]
There are 41 college students
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3 years ago
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