4 years ago

What value of x makes the statement (1/3) = (5/x) true?

1 answer:

8 0

1/3(5)=5/15
the numerator is 1, and since the other numerator is 5, you just need to multiply 1/3 by 5 which gives you 5/15

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Which pair of numbers has a GCF of 3. 3and 18, 12 and 18, 8 and 24, 1 and 3

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3 and 18 | 12&18 GCF = 6; 8&24 GCF = 4; 1&3 GCF = 3

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3 years ago

If x2+1/x2=18, find the value of x3−1/x3

Elden [556K]

Answer:

There are 2 answers : 76 or -76

Step-by-step explanation:

$x^2+\dfrac{1}{x^2} =18\\\\(x-\dfrac{1}{x} )^2=x^2+\dfrac{1}{x^2} -2=18-2=16\\\\x-\dfrac{1}{x}=4\ or\ x-\dfrac{1}{x}-4\\\\(x-\dfrac{1}{x} )^3=x^3-\dfrac{1}{x^3} -3x^2*\dfrac{1}{x}+3x*\dfrac{1}{x^2}\\\\=x^3-\dfrac{1}{x^3}-3(x-\dfrac{1}{x})\\\\x^3-\dfrac{1}{x^3}=(x-\dfrac{1}{x} )^3+3(x-\dfrac{1}{x})\\\\if\ x-\dfrac{1}{x}=4\ then \ x^3-\dfrac{1}{x^3}=4^3+3*4=64-12=76\\\\if\ x-\dfrac{1}{x}=-4\ then \ x^3-\dfrac{1}{x^3}=(-4)^3+3*(-4)=-64-12=-76\\\\$

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3 years ago

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Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work

Jet001 [13]

Answer:abudul should have divided by 4 ,not 6

Step-by-step explanation:

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3 years ago

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Solve the equation for all real solutions.<br> 15r2 – 6r – 3 = -2r

Solnce55 [7]

Answer:

Step-by-step explanation:

hello :

15r² – 6r – 3 = -2r

15r² – 6r – 3 +2r =0

15r²-4r -3 =0

delta =b² -4ac a=15 b=-4 c=-3

delta =(-4)² - 4(15)(-3)=196 = 14²

r1 = (-b - √delta ) /2a = (4-14)/30 = -10/30 = -2/6 = -1/3

r2 = (-b + √delta ) /2a = (4+14)/30 = 18/30 = 3/5

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3 years ago

A pen drops from the top of a desk that is 4 feet tall. The distance from the pen to the ground can be modeled by the equation b

Tcecarenko [31]

Answer:

0.5 seconds

Step-by-step explanation:

On the ground, height is 0

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t² = ¼

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3 years ago