Answer:
<em>24</em>
Step-by-step explanation:
1 hour and 36 minutes = 60 minutes + 36 minutes = 96 minutes
6/24 = x/96
24x = 6 * 96
24x = 6 * 4 * 24
x = 24
Answers:
1. There are rivets on the belts.
2. Extra information given in the problem:
a. He has 9 buckles.
b. He has 22 rivets left over.
Solution:
1. Total rivets on the belts=(12 rivets/belt)(4 belts)+(15 rivets/belt)(2 belts)
Total rivets on the belts=48 rivets+30 rivets
Total rivets on the belts=78 rivets
2. The extra information given in the problem is the information that we didn't use to solve it. In this case:
a. He has 9 buckles.
b. He has 22 rivets left over.
Answer:
The school baseball team sold 270 tickets
Step-by-step explanation:
Step 1
Identify the total amount of tickets sold by each player;
1 player=1 book of tickets
But 1 book=10 tickets
Step 2
Express the total cost of ticket sales per book as follows;
total cost=cost per ticket×number of tickets per book
where;
cost per ticket=$3
number of tickets per book=10
replacing;
total cost=(3×10)=$30
Step 3
Using the expression below, solve for the number of tickets sold
Total amount raised=price per ticket×number of tickets sold
where;
total amount raised=$810
price per ticket=$3
number of tickets sold=n
replacing;
810=3×n
3 n=810
n=810/3=270
n=270
The school baseball team sold 270 tickets
6x^3 + 5y^3 + 7y
So the third option.
If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
_____
Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
