3 years ago

Without doing the math, determine which is greater, 40 . 1/4 or 40/14. explain your reasoning

1 answer:

8 0

40 is greater because we can easily see that 1/4 is not a whole number that is less than 40 and the 40/14 will be changed into a lesser mixed number which again, is less than 40.

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A table top in the shape of a trapezoid has an area of 2250 square centimeters and the shorter base is 80 centimeters. The longe

Citrus2011 [14]

The area of a trapezoid has a formula of:
Area = (a + b) h / 2

Using the formula, we can easily find the height of the trapezoid.
Area = (a + b) h / 2
2250 = (80 + 100) h / 2
2250 = 180h / 2
2250 = 90h
h = 25 centimeters

So the height of the trapezoid is 25 centimeters.

3 0

3 years ago

Help me please How many solutions does the equation x -4 = 12 - 2x have? Explain. - ? .

MA_775_DIABLO [31]

Answer: one solution.

Step-by-step explanation:

$\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6$