Answer:
Step-by-step explanation:
if you divide the 63 by the 12 it would be 5.25 so it would take 6 fridays to save up!
Answer:
• for the first inequality:
![\dashrightarrow \: { \tt{3(a - 5x) < 1 + x}} \\ \\ { \tt{3a - 15x < 1 + x}} \\ \\ { \tt{3a < 1 + 16x}} \\ \\ { \boxed{ \tt{a = \frac{1 + 16x}{3} \: \: { \red{}} }}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Ctt%7B3%28a%20-%205x%29%20%3C%201%20%2B%20x%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B3a%20-%2015x%20%3C%201%20%2B%20x%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B3a%20%3C%201%20%2B%2016x%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7Ba%20%3D%20%20%5Cfrac%7B1%20%2B%2016x%7D%7B3%7D%20%20%5C%3A%20%20%5C%3A%20%7B%20%5Cred%7B%7D%7D%20%7D%7D%7D)
• for the second inequality:
![\dashrightarrow \: { \tt{ \frac{2 - x}{2} > 3 + 5(x - a) }} \\](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Ctt%7B%20%5Cfrac%7B2%20-%20x%7D%7B2%7D%20%3E%203%20%2B%205%28x%20-%20a%29%20%7D%7D%20%5C%5C%20)
substitute for a:
![{ \tt{ \frac{2 - x}{2} > 3 + 5(x - \frac{1 + 16x}{3} ) }} \\ \\ { \tt{ \frac{2 - x}{2} > 3 - \frac{5 + 80x}{3} }} \\ \\ { \tt{2 - x > 6 - \frac{10 + 160x}{3} }} \\ \\ { \tt{6 - 3x > 18 - 10 - 160x}} \\ \\ { \tt{157x > 2}} \\ \\ { \tt{x > \frac{2}{157} }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%20%5Cfrac%7B2%20-%20x%7D%7B2%7D%20%3E%203%20%2B%205%28x%20-%20%20%5Cfrac%7B1%20%2B%2016x%7D%7B3%7D%20%29%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B%20%5Cfrac%7B2%20-%20x%7D%7B2%7D%20%20%3E%203%20%20-%20%5Cfrac%7B5%20%20%2B%2080x%7D%7B3%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B2%20-%20x%20%3E%206%20-%20%20%5Cfrac%7B10%20%2B%20160x%7D%7B3%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B6%20-%203x%20%3E%2018%20-%2010%20-%20160x%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B157x%20%3E%202%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bx%20%3E%20%20%5Cfrac%7B2%7D%7B157%7D%20%7D%7D)
• substitute to get value of a: [ first inequality ]
![{ \tt{a < \frac{1 + 16( \frac{2}{157}) }{3} }} \\ \\{ \boxed{ \tt{a < \frac{63}{157} }}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Ba%20%3C%20%20%5Cfrac%7B1%20%2B%2016%28%20%5Cfrac%7B2%7D%7B157%7D%29%20%7D%7B3%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%7B%20%5Cboxed%7B%20%5Ctt%7Ba%20%3C%20%20%5Cfrac%7B63%7D%7B157%7D%20%7D%7D%7D)
[ second inequality ]
![{ \boxed{ \tt{a > \frac{65}{157} }}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Ctt%7Ba%20%3E%20%20%5Cfrac%7B65%7D%7B157%7D%20%7D%7D%7D)
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of this graph; we are provided with two points:
![\star~\mathrm{(6,0)}](https://tex.z-dn.net/?f=%5Cstar~%5Cmathrm%7B%286%2C0%29%7D)
![\star~\mathrm{(0,-5)}](https://tex.z-dn.net/?f=%5Cstar~%5Cmathrm%7B%280%2C-5%29%7D)
![\triangle~\fbox{\bf{KEY:}}](https://tex.z-dn.net/?f=%5Ctriangle~%5Cfbox%7B%5Cbf%7BKEY%3A%7D%7D)
- What we need in order to find the slope are two points and the slope formula.
Here's the formula:
![\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}](https://tex.z-dn.net/?f=%5Cstar~%5Cboxed%7B%5Cmathrm%7B%5Ccfrac%7By2-y1%7D%7Bx2-x1%7D%7D%7D)
Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the values:
![\star~\mathrm{\cfrac{-5-0}{0-6}}}](https://tex.z-dn.net/?f=%5Cstar~%5Cmathrm%7B%5Ccfrac%7B-5-0%7D%7B0-6%7D%7D%7D)
Simplify!
![\star~\mathrm{\cfrac{-5}{-6}}}](https://tex.z-dn.net/?f=%5Cstar~%5Cmathrm%7B%5Ccfrac%7B-5%7D%7B-6%7D%7D%7D)
Simplify more!
![\star~\mathrm{\cfrac{5}{6}}](https://tex.z-dn.net/?f=%5Cstar~%5Cmathrm%7B%5Ccfrac%7B5%7D%7B6%7D%7D)
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Answer:
sorry i cant understand your pic its so many circle
Answer:
12.94
Step-by-step explanation:
By the law of sines:
x / sin(35) = 7.9 / sin70
x = 7.9 * sin(70)/sin(35)
= 7.9 * 0.9397 / 0.5736
= 12.94