Answer:
The sum of half of a number and three-fourths is at least five and one quarter
Step-by-step explanation:
It's all about making sense of an English sentence.
"half the sum ..." is different from "the sum of half ..."
And ...
"at least" and "not less than" mean the same (≥)
"not more than" and "at most" mean the same (≤)
_____
Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.
__
"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"
means the same as ...
"The sum of half of a number and three-fourths is at least five and one quarter"
Let the running time for movie b = x minutes
Running time for movie a = (x + 39) minutes
3x - (39 + x ) = 47 minutes
3x - x = 47 + 39 minutes
2x = 86 minutes, x = 43 minutes
So movie b runs 43 minutes
Movie a runs 43 + 39 = 82 minutes
Answer:
Step-by-step explanation:
Area of a parallelogram is given as the multiplication of its length by that of its height or breadth, however you call it.
In this question, you didn't state the length nor the breadth or height. You just listed the answers. It's very hard knowing the answer without having its dimensions. However, I can tell you that on the diagram or drawing you have there with you, multiply the two distance given to you together, it ought to give you one of the four options you listed above. Be it 168, 140, 130 or even 120 square inches.
Area (a) as a function of radius (r) might be written
a(r) = πr²
= 4 (6) - 4 (√2) + √2 (6) - √2 <span>√2
</span>= 24 - 4√2 + 6√2 - 2
= (24 - 2) + (- 4√2 + 6√2)
= 22 + √2(- 4 + 6)
= 22 + √2 (2)
= 22 + 2√2
hope it helps
