Answer:
x = 16
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
4x + 9 = 73
4x = 73 - 9
4x = 64
x = 64/4
x = 16
Therefore, the unknown number is 16.
Note the equation/formula:
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d * r = t ;
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in which:
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d = distance = 84 ft.
r = rate = 12 ft / sec
<span> t = time = ?</span>
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To find the "time" we can rearrange the equation:
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d = r * t ;
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Divide EACH SIDE of the equation by "r" ; to isolation "t" on one side of the equation; to create an expression to find the time for the given distance and rate; which we will then do by plugging in our given values for "d" (distance) and "r" (rate) ;
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d / r = (r * t) / r ;
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to get : d / r = t ;
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↔ t = d / r ;
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Now, plug in our given values for "d" and "r" ; to solve for "t" ;
______________________________________________________
→ t = 84 ft / (12 ft / sec) ;
= 84 ft ÷ ;
= 84 ft * ;
= { } sec. ;
→ t = 7 sec. {that is; "7 seconds" }
(D) 408.04 is the correct answer. If you divide 2,727 miles by 27 miles per gallon you will get the number of gallons: = 101. Then, multiply the number of gallons by the cost per gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical miles. Hope this helps!
Hello from MrBillDoesMath!
Answer:
The solution set is the set all all real number m
Discussion:
3(2m-1) <= 6m-2 =>
3*2m - 3*1 <= 6m-2 =>
6m - 3 <.= 6m-2 => (Subtract 6m from both sides)
0-3 <= -2 =>
-3 < = -2
As -3 <=-2 is always true the solution set is the set all all real number m
Regards,
MrB
Answer:
(-20,-20)
Step-by-step explanation:
You can draw it out on a graph to see that the point 20 units down (south) and 20 units left (west) is (-20,-20), or you can subtract 20 from both the x and y values. [(x-20),(y-20)]