1/2x + 3 = 2/3x + 1....multiply everything by the common denominator of 6
3x + 18 = 4x + 6
3x - 4x = 6 - 18
-x = - 12
x = 12 <====
multiplying by the common denominator will get rid of the fractions
Problem 1
The error is 2 inches since her estimate is 2 inches off the true value.
We can think of it like this
4 feet = 4*12 = 48 inches
4 feet, 2 inches = 4 ft + 2 in = 48 in + 2 in = 50 inches
So she guesses he is 48 inches, but he's really 50 inches, so 50-48 = 2 inches is her error.
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Problem 2
Divide the error (2 inches) over the actual height (50 inches) to get
2/50 = 4/100 = 4%
The percentage error is 4%
This means she is 4% off the target.
Note how 4% of 50 = 0.04*50 = 2 which was the error we found back in problem 1.
Answer: 7.5
Step-by-step explanation:
Area of the bottom left triangle = 4x3/2 = 6
Bottom right = 6x3/2 = 9
Top right = 3x4/2 = 6
Top left = 6x3/2 = 9
6+9+6+9 = 30
Each square unit is 4
So the answer should be 30/4 = 7.5
Hope this is correct
Answer:
<em>The brand name television's dimensions are 32 inches by 64 inches.</em>
Step-by-step explanation:
<u>Scaling</u>
Jason is considering two similar televisions at a local store. The sizes of the generic television are 3/8 the size of the brand name.
If we knew the size of the brand name television, we would have to multiply its dimensions by 3/8, but instead, we have the dimensions of the generic television, so to find the brand name television, we multiply by 8/3.
12 inches * 8/3 = 32 inches
24 inches* 8/3 = 64 inches
The brand name television's dimensions are 32 inches by 64 inches.