Answer:
5(6x+9)
Step-by-step explanation:
(30x+45)
30=(5)6x
45=(5)9
5(6x+9)
He can download 210 songs in 1 1/2 hours. First, you find how many minutes is 1 1/2 hours which is 90, the divide 90/3 and it is 30. So, all you need to do is multiply 30 and 7 together and you get your rate
Answer:
![5y=-x+23\\](https://tex.z-dn.net/?f=5y%3D-x%2B23%5C%5C)
Step-by-step explanation:
Since the equation of the line is perpendicular to the line y = 5x +6
we can use the formula:
![m_1m_2=-1\\](https://tex.z-dn.net/?f=m_1m_2%3D-1%5C%5C)
where m1 is the slope of the line we have and,
m2 is the slope of the line we need
so here m1 is 5 as we compare it with the slope-intercept form our slope is:
![y=5x+6\\y=mx+b](https://tex.z-dn.net/?f=y%3D5x%2B6%5C%5Cy%3Dmx%2Bb)
our m1 is 5 but we need m2 so plugging in the value we get m2 to be:
![m_1m_2=-1\\5m_2=-1\\m_2=-1/5\\](https://tex.z-dn.net/?f=m_1m_2%3D-1%5C%5C5m_2%3D-1%5C%5Cm_2%3D-1%2F5%5C%5C)
and now we have our m2, now furthermore since the line passes through the point (-2 , 5) it means the point must lie on the line and satisfy it. We can use this point and the slope m2 and find out the equation by the point-slope form equation:
![y-y_1=m(x-x_1)\\y-5=-\frac{1}{5}(x-(-2))\\\\5(y-5)=(-1)(x+2)\\5y-25=-x-2\\5y=-x-2+25\\5y=-x+23\\](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5Cy-5%3D-%5Cfrac%7B1%7D%7B5%7D%28x-%28-2%29%29%5C%5C%5C%5C5%28y-5%29%3D%28-1%29%28x%2B2%29%5C%5C5y-25%3D-x-2%5C%5C5y%3D-x-2%2B25%5C%5C5y%3D-x%2B23%5C%5C)
Answer:
$103.75
Step-by-step explanation:
we know that
Karen earns $62.25 for working 9 hour
so
using proportion
Find out how much she will earn for working 15 hours
![\frac{62.25}{9}\ \frac{\$}{h}=\frac{x}{15}\ \frac{\$}{h}\\\\x=62.25(15)/9\\\\x=\$103.75](https://tex.z-dn.net/?f=%5Cfrac%7B62.25%7D%7B9%7D%5C%20%5Cfrac%7B%5C%24%7D%7Bh%7D%3D%5Cfrac%7Bx%7D%7B15%7D%5C%20%5Cfrac%7B%5C%24%7D%7Bh%7D%5C%5C%5C%5Cx%3D62.25%2815%29%2F9%5C%5C%5C%5Cx%3D%5C%24103.75)