Answer:
(–19, 55)
Step-by-step explanation:
y = –3x – 2 equation 1
5x + 2y = 15 equation 2
using equation 1 in equation 2 we have:
5x + 2(–3x – 2) = 15
5x –6x – 4 = 15
-x = 15+4
x=-19
using equation 1:
y = -3(-19)- 2
y= 57-2
y= 55
Hey there!
If the total amount of times Mark recorded the color of the traffic light is 15, then the number of red lights he recorded would be 15 minus the amount of green and yellow lights.
15 – 6 – 2 = 7
There was a total of 7 red lights recorded by Mark.
Hope this helped you out! :-)
Answer:
![\boxed{ \bold{ \huge{\boxed{ \sf{ \: 12.9 \: \: dollars}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%5Cboxed%7B%20%5Csf%7B%20%5C%3A%2012.9%20%5C%3A%20%5C%3A%20%20dollars%7D%7D%7D%7D%7D)
Step-by-step explanation:
Given,
Cost without tax = $ 12
Tax percent = 7.5 %
Cost including tax = ?
<u>First</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>tax</u><u> </u><u>amount</u><u> </u><u>:</u>
![\sf{tax \: amount \: = \: 7.5 \: \% \: of \: 12}](https://tex.z-dn.net/?f=%20%5Csf%7Btax%20%5C%3A%20amount%20%5C%3A%20%20%3D%20%20%5C%3A%207.5%20%5C%3A%20%5C%25%20%5C%3A%20of%20%5C%3A%2012%7D)
⇒![\sf{tax \: amount = \frac{7.5}{100} \times 12}](https://tex.z-dn.net/?f=%20%5Csf%7Btax%20%5C%3A%20amount%20%3D%20%20%5Cfrac%7B7.5%7D%7B100%7D%20%5Ctimes%2012%7D%20)
⇒
dollars
<u>Finding </u><u>the</u><u> </u><u>total</u><u> </u><u>cost</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>lunch</u><u> </u><u>including </u><u>tax</u><u> </u><u>:</u>
⇒![\sf{total \: cost \: = \: 12 + 0.9}](https://tex.z-dn.net/?f=%20%5Csf%7Btotal%20%5C%3A%20cost%20%5C%3A%20%20%3D%20%20%5C%3A%2012%20%2B%200.9%7D)
⇒
dollars
Hope I helped!
Best regards ! :D
Answer:
47
Step-by-step explanation:
angle tsq and angle wvs are corresponding angles meaning that they are the same angle.
Answer:
y = (-3/4)x + 15
Step-by-step explanation:
The slope of the given line is 4/3. The slope of a line perpendicular to this given line is the negative reciprocal of 4/3, which comes out to -3/4.
Now that we have both the slope and y-intercept of the new line, we're ready to write out the desired equation in slope-intercept form:
y = (-3/4)x + 15