Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
__
<em>Alternate Solution</em>
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
_____
You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
Answer:
the coordinates of B is (-5,7)
Answer:
best bet is a im not 100 percent sure though
By definition, we have to:
In mathematics, the commutative property or commutativity is a fundamental property that has some operations according to which the result of operating two elements does not depend on the order in which they are taken.
This is fulfilled in ordinary addition and multiplication: the order of the addends does not alter the sum, or the order of the factors does not alter the product.
We have then, that the commutative property of the addition is:
3 + (-7) = (-7) + 3
Answer:
An expression that illustrates the commutative property of addition is:
3 + (-7) = (-7) + 3
Answer:
1. The equation is given as
324 = 220 +135 + C
2. We have 166 As the correct answer but is not in the option
Step-by-step explanation:
We are been given the following values
No. of trophies = 3
Total Legos required for all trophies = 324
No. of Legos for largest trophy(A) = 220
No. of Legos for smallest trophy(B) = 135
No. of Legos required for final trophy(C) which is unknown
Total legos will addition of everything
Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]
Substituting the values
324 = 220 +135 + C
Making C subject of formula
324 = 355 + C
324 - 355 = C
-31 = C
135 + 31 = 166
We have 166 As the answer
