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:
1/3
Step-by-step explanation:
Slope is rise over run.
Pick a point and count how many steps up and how many steps to the right you need to make to get to the next point. That's how you find slope.
X>-1/3, the graph would be filled everything to the right of -1/3 on the x axis
Answer:
D. 3.35
Step-by-step explanation:
First we need to form an equation and solve it to find the number of weeks when the prices were the same. Because the prices were the same we can say that b = c, and therefore form the equation:
2.35 + 0.25x = 1.75 + 0.4x - Now we nee to solve it and find x.
2.35 - 1.75 = 0.4x - 0.25x
0.6 = 0.15x
x = 0.6 ÷ 0.15
x = 4 weeks
So now we substitute x into the equation for beef and find the price.
b = 2.35 + (0.25 × 4)
b = 2.35 + 1
b = $3.35 per pound
We know, Circumference of a Circle = 2πr
C = 2 * 22/7 * 3.5
C = 2 * 22/2
C = 2 * 11
C= 22
In short, Your Answer would be 22 Feet
Hope this helps!