9514 1404 393
Answer:
- 25 pounds cashews
- 15 pounds peanuts
Step-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
178 - (-395)
178 + 395 = 573
the distance between -395 and 178 is 573
hope this helps
Decimal=9.03 &
fraction= 9 3/100
Answer:
c = 8.14 million×(0.9166)^t
4.83 million
Step-by-step explanation:
Data:
t = y - 2007
c₀ = 8.14 million
c₃ = 23 % less than c₁
Part 1. Calculate c₃
c₃ = c₀(1 - 0.23) = 0.77c₀
Part 2. Calculate r
c₃ = c₀r^t
0.77c₀ = c₀r³
0.77 = r³ Divided each side by c₀
r = 0.9166 Took the cube root of each side
The explicit decay model is c = 8.14 million×(0.9166)^t
Part 3. Prediction
t = 2013 - 2007 = 6
c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million
The model predicts that there will be 4.83 million cars for sale in 2013.
14 of the machine that cost $150 was sold and 8 of the machine that cost $225 was sold.
To solve this problem, we would write a system of linear equations.
- Let x represent the machine that cost $150
- Let y represent the machine that cost $225
We can proceed to write our equations now.
From equation 1
<h3>The Value of Y</h3>
put equation (iii) into (ii)
<h3>The Value of X</h3>
Since we know the number of y, we can simply substitute it into equation (i) and solve.
From the calculations above, 14 of the machine that cost $150 was sold and 8 of the machine that cost $255 was sold.
Learn more about system of equations here;
brainly.com/question/13729904