You put a variable for unknown numbers. 5. 96-x and 6. 17+x
Answer:
16.364 miles
Step-by-step explanation:
Speed of Claire = 6 miles per hour
Speed of Megan= 5 miles per hour
Distance from camp site to out post = 18 miles
Time for Claire to travel=18/6= 3 hours
Time for Megan to travel = 18/5 = 3.6 hours
The time they meet will be equal
Claire distance= 18 + x
Megan distance = 18-x
Claire time =( 18+x)/6
Megan Tim =( 18-x)/5
(18+x)/6 =(18-x)/5
5(18+x)= 6(18-x)
90 +5x = 108-6x
11x=18
X=18/11
X=1.636 Miles
So the distance from the Outpost to where they meet = 18-1.636
= 16.364 miles
9514 1404 393
Answer:
(a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.
In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.
_____
<em>Additional comment</em>
This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.
In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.
In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as <em>addition</em>, and adding negative numbers as <em>subtraction</em>.
Answer:
C) 20 Speeders
Step-by-step explanation:
5 divided by 2 is 2.5
there are 2.5 speeders per hour
over the span of 8 hours just multiply
8x2.5=20
