The method in which you do this problem would be to FOIL. First Outer Inner Last. You take the first terms and multiply them. x*x = x^2 (x to the second power). Then you do it with the rest of foil.
x*x = x^2
x*1 = x
x*3 = 3x
1*3 = 3
x^2 + x + 3x + 3 = X^2 + 4x + 3
Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
Answer:
-4x + 5x x. 2) 1 +5v+v-6 ... First, use Distributive Property, then Combine Llike Terms to simplify each expression. ... 15 – 4(a – 5). if a = 8
Answer:
The new salary of that person (for the period of a year) would be
.
Step-by-step explanation:
Start by considering: what is the exact value (in dollars) of that "
raise in salary"?
(five percent) is equal to
.
To find the value of
of
, simply multiply
by
:
.
Add that to the original (one-year) salary of this person to find the new one-year salary:
.