Answer:
m ≤ 27 or m > 11
m is all real number since we have the or
Step-by-step explanation:
m − 11 ≤ 16 or 15 − 2m < −7
Lets solve the one on the left first
m − 11 ≤ 16
Add 11 to each side
m-11+11 ≤ 16 +11
m ≤ 27
Now lets solve the one on the right
15 − 2m < −7
Subtract 15 from each side
15 −15- 2m < −7 -15
-2m < -22
Divide by -2, remembering to flip the inequality
-2m/-2 > -22/-2
m > 11
Answer: (A) The product of two numbers with the same sign is positive.
Since the numbers in each pair have the same sign, the product will be positive.
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
You only need to solve one part of the problem, because the second problem is the exact same as the first, so you would do 53 x 6= 318, and 6 x 53 also equals 318
