Answer:
<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>
Step-by-step explanation:
Suppose, the width of the rectangular tabletop is 
inch.
As the tabletop has a length that is twice it’s width, so the length will be: 
inch.
The tabletop measures 76 inches on its diagonal.
<u>Formula for length of diagonal of rectangle</u>: 
So, the equation will be..........
Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.
The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.
Answer:
Audrey can afford 4 hours of lesson.
Step-by-step explanation:
Given that:
Amount Audrey has to spend = $111
Cost of racket = $55
Cost per lesson = $14
Let,
y be the total cost
x be the number of hours
According to given statement;
y = 14x + 55
111 = 14x + 55
111 - 55 = 14x
14x = 56
Dividing both sides by 14
Hence,
Audrey can afford 4 hours of lesson.
Answer:
26 2/3 mph
Step-by-step explanation:
time = distance/speed
speed = distance/time
Use the first of these relations to find Aidan's time getting to school:
time = 16 mi/(40 mi/h) = 16/40 h = 0.4 h
Then the time Aidan takes to get home is 0.6 hours, and his average speed for that trip home is ...
speed = 16 mi/(0.6 h) = 26 2/3 mi/h
-4d + 2(3+d)= -14
distribute the 2(3+d)
-4d + 6+ 2d= -14
Combine the like terms
-4d + 2d + 6= -14
-2d + 6 = -14
subtract 6 to -14
-2d = -20
divide by -2
d= -20/-2
d= 10
Check your answer
-4(10) + 2(3+ 10) = -14
-40 + 6 + 20
-40 + 26= -14
