Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
Number of hours can not be negative.
.
Therefore, the required system of inequalities contains some equations, 
and 
.
d1 = 51(t)
d2 = 71(8 - t)
d1 + d2 = 508
and now you just have to solve for t.
The fraction 91/10 is equivalent1 to 9 1/10.
This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (91) is greater than the absolute value of the bottom number or denomintor (10). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (9) and proper fraction (1/10).
<span>The fraction 91/10 is equal to 91÷10 and can also be expressed in decimal form as 9.1.</span>
Answer: d≤69
Step-by-step explanation:
You would plug in all the values for d into the inequality
40(81) + 240 ≤ 3000
40(81) + 240 = 3000
3240+240=3000
3480=3000 false
40(75) + 240 ≤ 3000
40(75) + 240 = 3000
3000+240=3000
3240=3000 false
40(69) + 240 ≤ 3000
40(69) + 240 = 3000
2760+240=3000
3000=3000 true
You don't need to try the last one because you already found this one!
(15,-25)(-12,11)
slope = (11 - (-25) / (-12 - 15) = - 36 / 27 which reduces to - 4/3
y = mx + b
slope(m) = -4/3
use either of ur points (15,-25)...x = 15 and y = -25
now we sub and find b, the y int
-25 = -4/3(15) + b
-25 = - 20 + b
-25 + 20 = b
-5 = b
so ur equation is : y = -4/3x - 5 <==
