Explanation:
Solving the first equation for
x
:
x
=
8
−
3
y
Substituting this ( for
x
)in the second equation
2
(
8
−
3
y
)
−
y
=
9
expanding
16
−
6
y
−
y
=
9
16
−
7
y
=
9
so
7
y
=
7
so
y
=
1
and
x
=
8
−
3
x
=
5
Answer:
possible solutions (2,11) (3,10)
Step-by-step explanation:
Variable Definitions:
x=the number of hours babysitting
y=the number of hours walking dogs
“no more than 14 hours"→14 or fewer hours
Therefore the total number of hours worked in both jobs, x+y, must be less than or equal to 14
x+y≤14
“no less than $120"→$120 or more
Aubrey makes $8 per hour babysitting, so in x hours she will make 8x dollars. Aubrey makes $10 per hour walking dogs, so in y hours she will make 10y dollars. The total amount earned 8x+10y must be greater than or equal to $120:
8x+10y≥120
Solve each inequality for y:
x+y≤14
y≤14−x
8x+10y≥120
10y≥120−8x
y≥ -4/5x+12
Graph y≤14−x by shading down and graph y≥-4/5x+12 by shading up
360 = 37.50x + 60
-60 on both sides
300 = 37.50x
/37.50 on both sides
8 = x
Answer:
x = 8
Answer:
9.92
Step-by-step explanation:
8.63 x 1.15=9.92