Answer:x
=
5
toppings
Step-by-step explanation:Total cost of cheese pizza:
$
10.75
Any additional topping adds:
+
$
1.25
So a cheese pizza with
1
additional topping is:
$
10.75
+
$
1.25
=
$
12.00
A cheese pizza with
2
additional toppings is:
$
10.75
+
$
1.25
+
$
1.25
=
$
10.75
+
2
×
$
1.25
=
$
13.25
A cheese pizza with
3
additional toppings is:
$
10.75
+
$
1.25
+
$
1.25
+
$
1.25
$
10.75
+
3
×
$
1.25
=
$
14.50
If you pay attention to the pattern you can see that, for any number of toppings, say
x
toppings, the price is going to be:
$
10.25
+
x
×
$
1.25
We are told the final cost is
$
17.00
. That is
$
10.25
+
x
×
$
1.25
=
$
17.00
Subtract
$
10.25
from both sides
$
10.25
−
$
10.25
+
x
×
$
1.25
=
$
17.00
−
$
10.25
x
×
$
1.25
=
$
6.25
Divide both sides by
$
1.25
x
×
$
1.25
$
1.25
=
$
6.25
$
1.25
x
=
5
Answer:
Define F as fathers age and S as sons age right now.
Then now they are
(1) 3S = F
and six years ago they were
(2) 5*(S-6) = F-6
calculate 5*(S-6)
5S - 30 = F-6
Subtract left and right side by -F
Add 30 to left and right side
5S - F = 24
Put (2) 3S = F into the equation above
5S - 3S = 24
2S = 24
S = 12
insert result in (2) 3S = F
3*12 = F
36 = F
Step-by-step explanation:
So the son is 12 years, and the father is 36 years.
Answer: D is correct
Step-by-step explanation:
everything under the X side can be multiplied by 5 and equal Y
