<span>With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.</span>
11/56 inches or 0.196 inches must be removed.
The pipe measures 4/7 inches but needs to be reduced to 3/8 inches.
In order to find out the inches to be removed, you must subtract the length that the pipe should be from the length that it currently is.
<em>Length to be removed = 4/7 - 3/8</em>
You need a common denominator so find the lowest common factor of both denominators:
= 56
In the shared fraction, multiply the numerator by the number you get when you divide 56 by the denominator.
= 56/7 = 8 8 x 4 = 32
= 56 / 8 = 7 7 x 3 = 21
= (32 - 21) / 56
= 11 / 56 inches
= 0.196 inches
In conclusion, 11/56 inches must be removed to get the pipe to 3/8 inches
<em>Find out more at brainly.com/question/4681199.</em>
The difference in the mean rainfall is given by 19.7 - 19.3 = 0.5
The difference in the <span>mean rainfall is approximately 0.5/4.6 = 0.087 = 8.7 percent of the mean absolute deviation for last week and is 0.5/5.2 = 0.077 = 7.7 percent of the mean absolute deviation for this week.
Therefore, the difference in the </span><span>mean rainfall is approximately what percent of the mean absolute deviation 8% of the mean absolute deviation of the data sets.</span>
<span>The dimensions are 40 inches by 55 inches.
Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.
Combining like terms, we have
2y+22/8y=190.
Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.
Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).
Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).
To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.
Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
The answer is alternate interior angles theorem and substitution property of equality.
