500/20 = 25kcal per piece
8 * 25 = 200kcal.....yes, he is able to have 8 pieces
Answer:
Between 1 and 3 seconds
Step-by-step explanation:
There is no change in distance ( change in y ) between 1 and 3, so she wasn't walking during that time
Answer:
0.000036
Explanation:
When multiplying a number by 10 to the power of a positive exponent (e.g.
10
3
), move the decimal in the number that many spaces to the right (e.g.
4.5
⋅
10
3
=
4500
).
When multiplying a number by 10 to the power of a negative exponent (e.g.
10
−
4
), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.
4.5
⋅
10
−
4
=
0.00045
).
For
3.6
⋅
10
−
5
, move the decimal five spaces to the left:
0.000036
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
·
×
=
=12
Answer:
6
Step-by-step explanation:
Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic
The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.
The woman bought 6 items.
_____
Check
When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.
