Answer:
x is +1
y is-5
Step-by-step explanation:
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
<h3>What is the distance?</h3>
Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position
We know that r × t = d
r = rate of speed
t = time
d = distance
For the motor boat
9 × t = d = rate × time
For the tour boat
27 × (t - 2) = d = rate × time
When they both cover the same distance in the same amount of time, they will eventually cross paths.
They both cover the same d-mile distance, so:
9 ×t = 27 × (t - 2)
Simplify to get:
9 × t = 27 × t - 54
18 t = 54
t = 3
The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.
The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
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Answer:
11/20
Step-by-step explanation:
To be able to find the fraction of the cake that Jake ate if you know that he ate 55% of it, you have to turn the 55% into a fraction. To do this, first you have to divide the percent by 100:
55/100
Then, you have to simplify the fraction. In this case, you can do it by dividing by 5:
11/20
According to this, the fraction of the cake that Jake ate is 11/20.
Answer:
8 bags of pretzels
Step-by-step explanation:
Let x represent the number of bags of pretzels Tim buys. We assume he spends exactly $20 on exactly 12 bags of snack food. Then his purchase is ...
1.50x + 2.00(12-x) = 20.00
-0.50x +24.00 = 20.00 . . . eliminate parentheses, collect terms
-0.50x = -4.00 . . . . . . . . . . .subtract 24
x = 8 . . . . . . . . . . divide by -0.50
Tim will buy 8 bags of pretzels.
If there are 45 beads, with a ratio of
Then,
Then if
Then
Therefore,
Meaning, there would be a ratio of 36 beads to 9 beads
