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3 years ago

Divide. Write in simplest form. 2/3 divided by 1/5

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

Answer:

3 1/3 or 3.3(repeated)

Step-by-step explanation:

2/3 ÷ 1/5

= 2/3 × 5

= 10/3

= 3 1/3 or 3.3(repeated)

I hope this helped!

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Lent receives per day?

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Answer:

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Step-by-step explanation:

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3 years ago

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lesantik [10]

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5 0

4 years ago

Enter an equation in point-slope form for the line. Slope is 4 and (−3, −1) is on the line. The equation of the line in point sl

Licemer1 [7]

Answer:

y + 1 = 4 (x + 3)

Step-by-step explanation:

The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form.

Hope this helps!

3 0

3 years ago

The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

6 0

3 years ago

Vanessa purchased a smart TV for $1,500 on a payment plan. Four months after purchasing the TV, her balance was $1,200. 7 months

fredd [130]

Answer:

The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.

Step-by-step explanation:

We are looking for a function that has the following points:

B(0) = 1500

B(4) = 1200

B(7) = 975

Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:

B(t) = -75*t + 1500

To check if this expression is valid, we will apply the values provided on the problem:

B(0) = -75*0 + 1500 = 1500 (valid)

B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)

B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)

When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:

B(t) = -75*t + 1500 = 0

-75*t + 1500 = 0

75*t = 1500

t = 1500 / 75 = 20 months

It'll take her 20 months to pay the loan.

8 0

3 years ago