Answer:
64
Step-by-step explanation:
4(x)
4(16)
64
<h3>
Answer: choice B) 2 by 6</h3>
===============================================
How I got that answer:
Opposite sides of the rectangle are the same length, so
y = 2x-4 (horizontal sides)
3y = x+3 (vertical sides)
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Start with the second equation. Replace the 'y' with (2x-4) which is from the first equation. This replacement will allow us to solve for y
3y = x+3
3(2x-4) = x+3 .. replaced y with (2x-4)
6x-12 = x+3 ... distribute
6x-12+12 = x+3+12 ..... add 12 to both sides
6x = x+15
6x-x = x+15-x ..... subtract x from both sides
5x = 15
5x/5 = 15/5 ........ divide both sides by 5
x = 3
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Now we know the value of x, which means we can find the value of y
y = 2x-4
y = 2*3-4 .... replace x with 3
y = 6-4
y = 2
So the horizontal side is 2 units long
The vertical side is therefore 3y = 3*2 = 6
or we can say x+3 = 3+3 = 6 getting the same answer
Answer:
x=y
Step-by-step explanation:
-let x be the number of tennis balls and y the number of rackets.
-We divide the number of balls by the number of rackets to find out their ratio of proportionality:
-Hence, for each one tennis ball, there is a tennis racket.
#This is a direct linear relationship and is modeled as graphed in the attachment:
Lovely.
The car is traveling at 95 km/h, and the train is at 75 km/h.
Remember the train is 1 km long.
a)
With respect to the train the car is not moving as much as 75 km/h.
The car with respect to the train is moving as much as 95 - 75 = 20 km/h
Recall the train is 1 km long.
Time to cover the 1km long train = Distance / speed = 1 / 20 = (1/20) hour.
= (1/20)*60 minutes = 3 minutes.
So the car would pass the train in 3 minutes.
b)
Now if they are traveling in opposite directions;
the car with respect to the train = 75 + 95 = 170 km/h
Time to cover the 1km long train = Distance / speed = 1 / 170 = (1/170) hour.
<span>= (1/170)*60 minutes = (6/17) minutes
</span>
= (6/17)*60 seconds = 360/17 seconds ≈ 21.176 seconds.