40,062.
Multiplication is first. Then we do 800x50, which is 40,000. Then we add 67, which becomes 40,067. Lastly, we subtract 5 which becomes 40,062.
If y
y
varies directly as x
x
and y=15
y
=
15
when x=24
x
=
24
, find x
x
when y=25
y
=
25
.
Find the constant of variation.
k=yx=1524=58y=58x k=
y
x
=
15
24
=
5
8
y=
5
8
x
To find x
x
, substitute 25
25
for y
y
.
25=58xx=40
I find that fractions can be tricky, so I convert them to decimals before subtracting.
3 3/4 = 3.75
7/8 = 0.875
3.75 - 0.875 = 2.875
Knowing that 0.875 = 7/8, we now know that our answer is 2 7/8.
Hope this helps!