Let c represent the weight of cashews and p the weight of pecans.
Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
The piecewise function is
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
<h3>How to determine the piecewise function?</h3>
From the question, we have:
Fares = $2.00 ⇒ up to (and including) 1/2 miles
Fares = $0.70 increment ⇒ greater than 1/2 miles
Let x represent the number of miles, and f(x) the fares.
So, we have:
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
The above represents the piecewise function
Read more about piecewise function at:
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Answer:
6 packages
Step-by-step explanation:
Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.
8 * 0.75 = 6
This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.
The answer is -1 because it is subtracting by -2
Answer:
Yes, `18 of them wore a different costume
Step-by-step explanation:
49+36=85 which is not 103 children
So then you take 103 and subtract 85 (103-85= 18)
And your answer is 18, so 18 of the children wore a different type of costume.
