The formula for an arithmetic sequence:
We are given:
Determine d (the common difference)
Calculate a31:
Answer:
The y-intercept represents the number of minutes allocated for creating vegetable cans when no time is dedicated to fruit cans.
Step-by-step explanation:
The problem indicates that y refers to the minutes spent on vegetable can production, and the y-intercept indicates the y-value where x equals zero.
Thus, the y-intercept signifies the duration for producing vegetable cans when no time has been utilized for fruit can production.
The total number of bills and coins is 14.
Step-by-step explanation:
To minimize the count of bills and coins, start with the largest denominations that fit within the amount.
The change due is $39.49.
Start with:
-$20 bill (largest under $39.49)
Remaining: $19.49
-$10 bill (largest under $19.49)
Remaining: $9.49
-$5 bill (largest under $9.49)
Remaining: $4.49
Then:
4 × $1 bills (to cover $4.49)
Remaining: $0.49
-$0.25 coin (quarter)
Remaining: $0.24
2 × $0.10 coins (dimes)
Remaining: $0.04
4 × $0.01 coins (pennies)
The final composition includes:
1 twenty-dollar bill
1 ten-dollar bill
1 five-dollar bill
4 one-dollar bills
1 quarter
2 dimes
4 pennies
Totaling 14 pieces.
Answer:
Robyn's model is logical, while Mark's is illogical.
Step-by-step explanation:
This question doesn't require calculations. What we need to do is analyze each model logically.
Mark's
Mark's representation indicates 20 instead of 2, which signifies that 200 is ten times greater than 20, making it nonsensical.
Robyn's
Robyn's representation displays 2, suggesting that 200 is 100 times greater than 2, which is not only accurate but also reasonable since 100 * 2 equals 200.
