there are 4/7 as many girls as there are boys. There are 66 students in the fifth grade. How many students are girls?

Mathematics

1 answer:

zhenek [66]3 years ago

5 0

My guess is 24 girls.

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JulsSmile [24]

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3 years ago

Prove that: (a2 - b2)3 + (b2-c2)3+ (c2-a2)3 = 3 (a+b) (b+c) (c+a) (a-b) (b-c) (c-a).

Vanyuwa [196]

$L=(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=(*)\\\\(a^2-b^2)^3=a^6-3a^4b^2+3a^2b^4-b^6\\\\(b^2-c^2)^3=b^6-3b^4c^2+3b^3c^4-c^6\\\\(c^2-a^2)^3=c^6-3c^4a^2+3c^2a^4-a^6\\\\(*)=a^6-3a^4b^2+3a^2b^4-b^6+b^6-3b^4c^2+3b^2c^4-c^6+c^6-\dots\\\dots-3c^4a^2+3c^2a^4-a^6\\\\=-3a^4b^2+3a^2b^4-3b^4c^2+3b^2c^4-3c^4a^2+3c^2a^4\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)$

$R=3(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)\\\\=3(a^2-b^2)(b^2-c^2)(c^2-a^2)\\\\=3(a^2b^2-a^2c^2-b^4+b^2c^2)(c^2-a^2)\\\\=3(a^2b^2c^2-a^4b^2-a^2c^4+a^4c^2-b^4c^2+a^2b^4+b^2c^4-a^2b^2c^2)\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)\\\\L=R$

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3 years ago

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The formula that describes an object's motion is given by s=ut+1/2at^2, where s is the distance traveled, u is the initial veloc

victus00 [196]

None of the offered choices is correct.

The correct equation is
.. a = (2s -2ut)/t^2 . . . . . . . . parentheses are required

4 0

3 years ago

The hourly wage is $7.50. John worked 7 hour. How much did he<br> earn?

serg [7]

Answer:

52.5

Step-by-step explanation:

7.50 x 7

8 0

3 years ago

30 points Given (-3, 1) and (3,-3). The slope of the line is ____________ . The equation of the line is _____________.

Liono4ka [1.6K]

Answer:

y = (3/2)x + 11/2

Step-by-step explanation:

As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is

m = rise / run = 6/4 = 3/2.

Subbing the knowns into the general point-slope form of the equation of a straight line, we get

y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).

This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.

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3 years ago

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