Hey!
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Explanation:
Since both numbers have 15,006 before the decimal we only need to see which number has a bigger decimal.
0.099 < 0.101
0.101 - 0.099 = 0.002
So, 15,006.101 is 0.002 bigger than 15,006.099!
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Hope This Helped! Good Luck!
Answer:
7. 
8. l=11cm and w=7 cm
9. 
10. 
Step-by-step explanation:
Question 7.
The given expression is:

Expand the parenthesis using the distributive property:

Group similar terms:

Simplify

Divide both sides by -10

Question 8:
Let the width of the rectangle be;
The length of the rectangle is 
The perimeter is given as: 
Given that the perimeter P=36, then:
![36=2[(w+4)+w)]](https://tex.z-dn.net/?f=36%3D2%5B%28w%2B4%29%2Bw%29%5D)

Divide both sides by 2:

Subtract 4 from both sides:



The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as 
"5 fewer than a number is at least 12" becomes

Question 10:
Let the number be x.
The quotient of a number and 3 is written as:

The quotient of a number and 3 is no more than 15 is written as;

Answer:
Each marker will be exactly <u>103</u> miles apart.
Step-by-step explanation:
It is given that Ian wants to run 412 miles and has set up 3 markers the same distance apart.
Between the start and end of run, the 3 separate markers will divide the 412-mile distance into 4 equal segments.
So each segment = 412/4 = 103 miles
Each marker will be exactly <u>103</u> miles apart.
Answer:
420 unique combinations.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
One object from each set:
2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:
2*5*6*7 = 10*42 = 420
420 unique combinations.
Hi there!
There is an initial cost of $210,000 (which you're just going to pay once)
Then it costs $500 per day to operate.
The number of days is represented by "x".
Your equation in function notation should look like this :
f(x) = 500x + 210,000
There you go! I really hope this helped, if there's anything just let me know! :)