Mathematics, 02.02.2021 18:50 deena7

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D. Would be correct. Turn 2 1/4 to a mixed fraction. 2 1/4 would be 9/4. 1 1/4 into mixed fraction form would be 5/4. 9/4+ 5/4 = 14/4. 14/4 equals 3 2/4 which equals 3 1/2.

Answer from: 0gNanaa

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)

Answer from: Quest

none of the above.

for one of the equations to be used in the process, there has to be a $2x^2$ term in the equation since $2x$ squared is $2x^2$ .

since there is only a $x^2$ term in the first equation, we cannot derive a $2x+4$ from completing the square.

solving with completing the square

$x^2=-4x+3$

$x^2+4x=3$

$x^2+4x+4=7$

$(x+2)^2=7$

$x+2=+-\sqrt{7}$

$x=2+-\sqrt{7}$

Answer from: Quest

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

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