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Setler [38]
3 years ago
12

Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer

Mathematics
1 answer:
sweet [91]3 years ago
8 0

Let's form the difference of the two expressions and see what we can learn.

(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)

Since y > x, this is positive, so 2y -x is greater than 2x -y.

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fomenos

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205 is my answerrrrrrrrrrr

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3 years ago
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The measures of two consecutive angles between the parallel sides of a trapezoid are 5:7. The other two consecutive angle measur
DiKsa [7]

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4 0
3 years ago
The cost of fabric (y) is directly proportional to he length is yards (x). If 5 yards of fabric cost $14, which equation models
marta [7]

Answer:

5x = 14

Step-by-step explanation:

If 5 yards of fabric is $14 you need an equation that would solve how much 1 yard of fabric costs. You can say 5x = 14 or x = 2.8 which means that one yard of fabric (1x or just x) is $2.80.

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3 years ago
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How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

0.1 <em>x</em> = 6

<em>x</em> = 6/0.1 = 60 gal

6 0
3 years ago
Izzy had an 82 and an 88 on his first two tests and believed that he did well enough on his final exam to keep his B average.​ H
Anastaziya [24]

Answer:

73

Step-by-step explanation:

to find the mean you need to add up all grades and divide if by the number of terms you added

(82 + 88 + x) ÷ 3 = 69 (since we don't know the third grade let's call it x)

170 + x = 69 × 3

x = 37

if the digits transposed the the actual grade would be 73

5 0
3 years ago
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