We can find slope
with this formula

Where
and
thus

The slope of line is -1/2.
Hope this helps.
Answer:
z=kx/y
zy=kx
zy/x=kx/x ( divided both side by x. to find k)
k=zy/x
k=6×4/3(z=6,y=4,x=3)
k=24/3
k=8
so z=kx/y
z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)
z=40/2
z=20
Answer:
0.008
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the image of (0,6) after dilation by a scale factor of 1/3 centered at the origin
Answer:
$35.79. I hope this help!!
Step-by-step explanation:
First, we can determine the amount of the tax:
t
=
b
⋅
r
Where:
t
is the amount of the tax.
b
is the amount of the bill - $28.35 for this problem.
r
is the tax rate.
6.25
%
for this problem. Percent or % means per 100 or out of 100. We can write
6.25
%
as
6.25
100
Substituting gives:
t
=
$
28.35
⋅
6.25
100
t
=
$
177.1875
100
t
=
$
1.771875
t
=
$
1.77
Next, we can determine the amount of the tip:
p
=
b
⋅
g
Where:
p
is the amount of the tip.
b
is the amount of the bill - $28.35 for this problem.
g
is the gratuity rate.
20
%
for this problem. Percent or % means per 100 or out of 100. We can write
20
%
as
20
100
Substituting gives:
p
=
$
28.35
⋅
20
100
p
=
$
567.00
100
p
=
$
5.67
Now, we can add the amount of the bill, the tax and tip amounts to find the total cost:
$28.35 + $1.77 + 5.67=$35.79