Since it is a square, the diagonals are congruent. If a square is split like this, it becomes two congruent right triangles. The relationship between the sides and hypotenuse is a 1:
ratio. So if the diagonal of a square is 14 cm, then the side length would be 14/
, which is approximately 9.899. I don't understand what the answer choices are, but you should be able to square root the numbers to determine the answer.
Total length of boards needed = 2000*3.5 = 7,000.
Total number of 8' boards needed = 7000/8 = 875 answer
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.
To find the remaining amount of money on the gift card you would substitute 8 in for the variable 't' and solve for g.
g= -9(8) + 100
g = -72 + 100
g = $28
Answer:
Store A sells the watch $0.50 less than B
Step-by-step explanation:
Store A: 5% of 50 = $2.50 Therefore, store A sells for $47.50
Store B: 20% of 60 = $12.00 Therefore, store B sells for $48.00
