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3 years ago

12

Solve equation:

id="TexFormula1" title="y + \frac{7}{8} = \frac{3}{8} " alt="y + \frac{7}{8} = \frac{3}{8} " align="absmiddle" class="latex-formula">
with steps please!

1 answer:

Gala2k [10]3 years ago

4 0

Answer: y = -1/2

Step-by-step explanation:

Subtract both sides by 7/8

y = 3/8 - 7/8

Then combine like terms

y = -4/8

Then simplify

y = -1/2

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Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i

Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

$\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}$

Find $\frac{dr}{dt}$ when diameter D = 20 cm.

We know that the volume of a sphere is given by

$V = \dfrac{4\pi}{3}r^3$

Taking the time derivative of V, we get

$\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}$

Solving for $\frac{dr}{dt}$ , we get

$\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})$

$\:\:\:\:\:\:\:= 0.08\:\text{cm/min}$

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3 years ago

7 divided by the quantity a minus 6

Nesterboy [21]

Answer:

7 ÷ (a - 6)

Step-by-step explanation:

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3 years ago

What are the solutions to the quadratic equation below? X^2-8x+16

leva [86]

(₋4)²

how i got it -

1st i used the sum-product pattern

x² - 8x + 16

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rewrite in factored form

(x-4)-4(-4)

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3 years ago

Read 2 more answers

51 is 17% of what number

Juliette [100K]

Answer is 300
first change the 17% to decimal value, which is 0.17
Put everything in equation: 51=0.17x
then solve for it
51=0.17x
x=51/0.17
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3 years ago

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Marianna [84]

Answer: C) x = 2

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Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2

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3 years ago