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3 years ago

13

The area of a rectangle is 36x⁷y5. If the length of the rectangle is 9x⁴y, which expression represents the width of the rectangl

e in yards?

1 answer:

IRINA_888 [86]3 years ago

7 0

Answer:

$4x^3y^4 = w$

Step-by-step explanation:

$36x^7y^5= (9x^4y)w$

$\frac{36x^7y^5}{9x^4y} = w$ 36 ÷ 9 = 4; x^7 ÷ x^4 = x^(7 - 4) = x^3; y^5 ÷ y = y^(5-1) = y^4

$4x^3y^4 = w$

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The product of two numbers is 2400 iftheir LCM is 120 find their LCM.... BY STEPS!!.....

aliina [53]

Answer:

60 and 40 or 120 and 20

Step-by-step explanation:

60 x 2=120

40 x 3=120

60 x 40=2400

120 x 1=120

20 x 6=120

120 x 20=2400

You can try a few others, but no others have an lcm of 120

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4 years ago

Solve: 4= -0.8n<br> I forgot how to do this can someone help?

frez [133]

Answer:

<em>n</em><em> </em><em>=</em><em> </em><em>-5</em>

Step-by-step explanation:

<em>Just</em><em> </em><em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>-0</em><em>.</em><em>8</em>

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3 years ago

Read 2 more answers

You need a 75 % alcohol solution. On hand, you have a 260 mL of a 30% alcohol mixture. You also have 95 % alcohol mixture . How

user100 [1]

$30 \: percent \: alcohol \: in \: 260 \: ml \\ alcohol = 0.3 \times 26 0= 78 \: ml$

$c( \gamma ) = \frac{78 + 0.95\gamma }{260 + \gamma } \times 100$

$c( \gamma ) = 75$

$\frac{78 + 0.95\gamma }{260 + \gamma } = 0.75$

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2 years ago

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Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.

Flauer [41]

Answer:

$\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}$

Step-by-step explanation:

Given

$\sqrt{128a^{6}b^{13}}$

Required

Solve

$\sqrt{128a^{6}b^{13}}$

The expression can be split to:

$\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}$

So, we have:

$\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}$

$\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}$

Rewrite as:

$\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}$

$\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}$

$\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}$

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3 years ago

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harina [27]

Answer:

972π cm³

Step-by-step explanation:

Okay so this container is a sphere, so you're going to want to use the volume of a sphere equation V = (4/3) * π * r³. In this case, you've got the diameter (d = 18), so divide by 2 to get r = 9.

So now you have all the variables you need to solve. Substituting those values into the volume equation, you get:

V = (4/3) * π * 9³ = 972π cm³.

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3 years ago