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marishachu [46]

4 years ago

9

Sophia types 75 words per minute and is just starting to write a term paper . patty already has 510 words written and types at a

speed of 60 words per minute. for what numbers of minutes will Sophia have more words type than patty ?
show work please

1 answer:

iren2701 [21]4 years ago

4 0

The way I would look at it is that Sophia types 15 words per minute faster than Patty so every minute Sophia is 15 minutes closer to what Patty has done. 510/15=34 so after 34 minutes Sophia will have caught up to Patty

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What are the solutions ?<br><img src="https://tex.z-dn.net/?f=7x%20%5E%7B2%7D%20%20%2B%2010x%20-%203%20%3D%20x%20%5E%7B2%7D%20%2

anyanavicka [17]

Answer:

$x = \frac{ - 3}{2} \: or \: \frac{1}{3}$

Step-by-step explanation:

$7 {x}^{2} + 10x - 3 = {x}^{2} + 3x$

$= > 7 {x}^{2} - {x}^{2} + 10x - 3x -3 = 0$

$= > 6 {x}^{2} + 7x - 3 = 0$

$= > 6 {x}^{2} + 9x - 2x - 3 = 0$

$= > 3x(2x + 3) - 1(2x + 3) = 0$

$= > (2x + 3)(3x - 1) = 0$

Here x will have 2 values.

1) $2x + 3 = 0$

$= > 2x = - 3$

$= > x = \frac{ - 3}{2}$

2) $3x - 1 = 0$

$= > 3x = 1$

$= > x = \frac{1}{3}$

4 0

3 years ago

Cones A and B are similar.

katen-ka-za [31]

Well it's not possible to find height with knowing cone B's height or radius .Steps provided below if you have pic you can solve by yourself.

Radius is similar in both cones.(Ignore it)
Height may be different but they must be similar.
The ratio of height to volume remains same .
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6 0

3 years ago

Read 2 more answers

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The ma

Lana71 [14]

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

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

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

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

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that $m = 3.5, \mu = \frac{1}{3.5} = 0.2857$

What number of minutes should the advertisement use?

The values of x for which:

$P(X > x) = 0.01$

So

$e^{-\mu x} = 0.01$

$e^{-0.2857x} = 0.01$

$\ln{e^{-0.2857x}} = \ln{0.01}$

$-0.2857x = \ln{0.01}$

$x = -\frac{\ln{0.01}}{0.2857}$

$x = 16.12$

Rounding to the nearest number, the advertisement should use 16 minutes.

5 0

3 years ago

Is The polar form of a complex number is unique?

Pie

Answer:

no

Step-by-step explanation:

The angle in the polar form of a complex number can have any multiple of 2π radians added to it, and the number will be the same number. That is, there are an infinite number of representations of a complex number in polar form.

6 0

3 years ago

Which expression are equivalent to 4(9+3) ?

Maslowich

This expression is equivalent (9+3)4

8 0

3 years ago