Answer:
The volume of this rectangular prism is D. 60
.
Step-by-step explanation:
In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...
V = l × w × h
(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).
Now we just substitute the values into the formula and we get...
V = l × w × h
V = 4cm × 3cm × 5cm
V = 60
Therefore, the volume of this rectangular prism is D. 60.
Answer:
3.2
Step-by-step explanation:
1/5=0.2
3 + 0.2 = 3.2
Answer: one solution; that solution is x = -7/2 which is the same as x = -3.5
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Work Shown:
The idea is to get all the x terms to one side, and the other stuff to the other side. We follow PEMDAS in reverse to help isolate x
12x+24 = 6x+3
12x+24-24 = 6x+3-24 .... subtract 24 from both sides
12x = 6x-21
12x-6x = 6x-21-6x ...... subtract 6x from both sides
6x = -21 ...... now the x terms are all on one side
6x/6 = -21/6 ...... dividing both sides by 6
x = -21/6
x = (-7*3)/(2*3)
x = -7/2
x = -3.5
This is the only solution. Whenever we have different coefficients for the x terms like this, we can see right off the bat we have exactly one solution. Consider graphing y = 12x+24 and y = 6x+3. The two lines will intersect at the point (x,y) where the x coordinate is the solution to the original equation. There is only one point of intersection which corresponds to exactly one solution.
The thing to notice about y = 12x+24 and y = 6x+3 is that the slopes are not the same, so the lines aren't parallel. Parallel lines always have equal slopes but different y intercepts. If your teacher gave you 12x+24 = 12x+3, then the two lines to graph would be y = 12x+24 and y = 12x+3. At this point, we would get two parallel lines that don't intersect, and therefore we wouldn't get any solutions here.
Answer:
1.
1/10 chance
2.
2/10 chance
3.
2/10 chance
4.
0/12 chance or maybe 0/10
Step-by-step explanation:
1.1/5 chance for the number and 1/2 chance for the heads/tails so
2.2/5 chance of getting it to land on an even number + 1/2 for heads
3..2/5 chance of getting it to land on an even number and 1/2 for tails
4.you cant land a 6
