Answer:
19x
Step-by-step explanation:
The cost of the racing cars was ...
2(5x) = 10x
The cost of the model motorcycles was ...
3(3x) = 9x
Peggy paid in total ...
10x + 9x = 19x
c
All the information you need is in the quadratic trinomial ... Read from right to left:
Find factors of 49 which ADD (+) to give 14.
These will be 7
and
7 because:
7
×
7
=
49
and
7
+
7
=
14
The + sign shows that the signs in the brackets will be the SAME, the minus (-) shows that they will be negative:
(
x
−
7
)
(
x
−
7
)
=
(
x
−
7
)
2
Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.
In fact, if the daughter weights
pound, the mother weights
pounds, and the total weight is
.
We know that this total is 185 pounds, so we have

So, the daughter weights 37 pounds.