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3 years ago

4x-10+1.5x-4x+11=8.5-6

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

8 0

Answer:

x=1

Step-by-step explanation:

4x-10+1.5x-4x+11=8.5-6

Combine like terms

1.5x+1=2.5

Subtract 1 from each side

1.5x+1-1=2.5-1

1.5x = 1.5

Divide by 1.5

1.5x/1.5 = 1.5/1.5

x=1

statuscvo [17]3 years ago

7 0

Answer:

x=1

Step-by-step explanation:

Given :

4x-10+1.5x-4x+11=8.5-6

4x+1.5x-4x=8.5-6-11+10

1.5x=1.5

x=1

Value of x=1

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3 years ago

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The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi

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Step-by-step explanation:

From the formula

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$\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]$

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$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

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We will determine the value of h, using

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$180 = \frac{1}{3}\pi (99)^{2}h$

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$236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]$

$708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}$

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$\frac{dh}{dt}= \frac{631.64}{30790.75}$

$\frac{dh}{dt} = 0.021 m/min$

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