Yolanda will have 1/10 of a pound left over. You want to get both of the denominators the same (the bottom number in a fraction) Luckily they both can go into 10. So we multiply each by whatever number is needed to get them to 10 and do the same to the top number. for 1/2, we multiply the top and bottom by 5 because 5*2 equals 10. We now have 5/10. We then multiply 3/5 by 2 on both sides because 5*2 equals 10. We now have 6/10. We add 5/10 and 6/10 to get 11/10. If we add the whole numbers to that, we get 4 11/10 which will simplify down to 5 1/10. We now have 1/10 left over
Answer:
63.75
Step-by-step explanation:
2^4=16
16x4=64
64-2/8=63.75
because 2/8 can be reduced to 1/4 and 1/4 in decimal form is 0.25.
Answer:
x = 1, y = 3
Step-by-step explanation:
y = -2x + 6 --- Equation 1
y = 4x - 1 --- Equation 2
Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.
-2x + 6 = 4x - 1
Isolate the like terms.
6 + 1 = 4x + 2x
Evaluate like terms.
6x = 7
Find x.
x =
x = 1
Substitute x = into Equation 2:
y = 4x - 1
y = 4() - 1
= 4 - 1
y = 3
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
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