Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
8x+5=10x-3
+3. +3
8x+8=10x
-8. -8
8=2x
/2. /2
x=4
Answer:
0, -5
Step-by-step explanation:
Answer:
-20, -13, -3 0, 19
Step-by-step explanation:
With negative the higher the number the lower the value
Answer:
5.1x - 1.49y
Step-by-step explanation:
We need to add or substract like terms.
like terms are the terms that have the same variable, in this case:
3.27x and 1.83x are like terms, and adding them we get:
3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)
we do the same for the terms with 'y':
1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:
1.28y −2.77y = -1.49y
the final answer is the conjunction of the two results that we obtained:
5.1x - 1.49y
