Ask question

Ask question

All categories

3 years ago

8

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

peed of 60 words per minute. For what number of minutes will kameryn have more words typed than joe?

1 answer:

AnnZ [28]3 years ago

6 0

Answer:

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.

Step-by-step explanation:

Let

x -----> the number of minutes

y ----> the total words typed

we know that

<em>Kameryn</em>

$y=75x$ -----> equation A

<em>Joe</em>

$y=60x+510$ -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

$75x=60x+510$

$75x-60x=510$

$15x=510$

$x=34\ minutes$

That means

For x=34 minutes

The amount of words written by Kameryn and Joe are the same.

therefore

For x > 34 minutes

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.

You might be interested in

A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is th

Lerok [7]

1,071 ft2 hope this helps

8 0

4 years ago

Read 2 more answers

Avery wanted to make 4 cakes for a huge party. Each cake requires 1.25 cups of milk to make. How much milk will she need to make

Elina [12.6K]

Answer:

Step-by-step explanation:

She will need 5 cups of milk because 1.25 times 4 equals to 5!

4 0

2 years ago

Read 2 more answers

Someone Please Help Quickly! Its an Easy Question

Paul [167]

Answer:

$y=\frac{2}{3}x-6$

Step-by-step explanation:

Use the slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:

$b=-6$

$y-intercept=(0,-6)$

To find the slope, take any two points from the line:

$(6,-2)(3,-4)$

Use the slope formula for when you have two points:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:

$(6(x_{1}),-2(y_{1})\\(3(x_{2}),-4(y_{2})$

$\frac{-4-(-2)}{3-6}$

Simplify parentheses (two negatives makes a positive):

$\frac{-4+2}{3-6}$

$\frac{-2}{-3}$

Simplify (two negatives make a positive):

$m=\frac{2}{3}$

The slope is $\frac{2}{3}$ and the y-intercept is $-6$ . Insert these into the equation:

$y=\frac{2}{3}x-6$

Finito.

7 0

3 years ago

If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and

Scilla [17]

Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

This has norm

$\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2$

and so a unit vector orthogonal to both given vectors is

$\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k$

An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

5 0

3 years ago

The diameter of a circular swimming pool is 15 feet. Find the circumference.

Nuetrik [128]

47.12
I did this last year :))

7 0

3 years ago