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3 years ago

A number plus twice the number is equal to three times the number

2 answers:

5 0

Let the unknown value be x
A number > x
Plus> x+?
twice>x+2
the number>x+2x
is equal to>x+2x=
three times the number> x+2x=3x
3x+3x

Lina20 [59]3 years ago

3 0

a+2a=3a
3a=3a
The answer is infinetly many solutions.

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On a certain map. 2.5 inches represents 15 miles. Bay City and Greenwood are 4 inches apart on the map. What is the actual dista

lubasha [3.4K]

2.5 =15
4=x
4/2.5= 1.6
15 times 1.6 is 24

8 0

3 years ago

Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per hour for pulling weeds. In Septe

valkas [14]

Answer:

$477

Step-by-step explanation:

63 hours x $6 = $378

9 hours x $11 = $99

378+99= $477

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

Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of

lord [1]

Answer:

The probability density function for the average length of life of the two components is $f(x) = 0.5e^{-0.5x}$

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following probability density:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

Each missile has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.

2, each with mean 1 means that $m = 2*1 = 2, \mu = \frac{1}{2} = 0.5$

So the probability density function is:

$f(x) = 0.5e^{-0.5x}$

8 0

2 years ago

"Find four numbers proportional to the numbers 2, 4, 5, and 6 if the difference between the sum of the two last numbers and the

Liono4ka [1.6K]

Answer:

1.92, 3.84, 4.8, 5.76

Step-by-step explanation:

In the given set, the sum of the last two numbers is 5+6 = 11; the sum of the first two numbers is 2+4 = 6. The difference between these sums is 11-6 = 5.

You want to scale all the numbers by a factor of 4.8/5 = 0.96 so that the difference computed the same way is 4.8 instead of 5.

Then the numbers are ...

0.96{2, 4, 5, 6} = {1.92, 3.84, 4.8, 5.76}

5 0

3 years ago

Read 2 more answers