Answer:
d(m) = (1.05 miles/min)*m
Step-by-step explanation:
Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):
2 5/8 miles
--------------------
3 1/2 minutes
First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:
21/8 miles 21/8 miles
------------------ = ---------------------- = 21/20 miles/minute
5/2 minutes 20/8 minutes
The constant rate is (21/20) miles/minute, or 1.05 miles/minute.
Thus, the equation representing the distance, d, that the car travels in m minutes is
d(m) = (1.05 miles/min)*m
Answer:
Expression will be 58 - (42 + 15)
Step-by-step explanation:
Kaitlyn has $58
She spent (42+15) = $57 on a T-shirt and pair of jeans
Expression will be 58 - (42 + 15)
The solution set of the equation is all reals ⇒ 3rd answer
Step-by-step explanation:
The solution set of an function is the set of all vales make the equation true. The equation has:
- Solution if the left hand side is equal to the right hand side
- No solution if the left hand side doesn't equal the right hand side
∵ The equation is 18 - 3n + 2 = n + 20 - 4n
- Add the like terms in each side
∴ (18 + 2) - 3n = (n - 4n) + 20
∴ 20 - 3n = -3n + 20
- Add 3n to both sides
∴ 20 = 20
In the equation of one variable, when we solve it if the variable is disappeared from the two sides, and the two sides of the equations are equal, then the variable can be any real numbers, if the two sides are not equal, then the variable couldn't be any value
∵ The the variable n is disappeared
∵ The left hand side = the right hand side
∴ n can be any real number
∴ The solution set of the equation is all real numbers
The solution set of the equation is all reals
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Answer:
Ratio of Non Fiction : Fiction books = 7 : 6
Step-by-step explanation:
Total number of books checked out = 52
Number of fiction books checked out = 24
So, number of non fiction books = Total books - number of fiction books
Or, number of non fiction = 52 - 24 = 28 books
Now, ratio of Non Fiction : Fiction books = 28 : 24
Solving the ratio term in its lowest form, we get
The Ratio of Non Fiction : Fiction books = 7 : 6
Answer:
Intial Value; $4 (charged)
Rate of change: $2 every exhibit visited
Admission: $4
1 exhibit visited: $6
2 exhibits visited: $8
3 exhibits visited: $10
4 exhibits visited: $12
5 exhibits visited: $14
6 exhibits visited: $16
7 exhibits visited: $18
8 exhibits visited: $20
etc.
Step-by-step explanation:
4+2x = C
C= Cost
X = amount of exhibits visited
To find the total cost.