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First let's write out the inequality before choosing a graph.
x apples each weighing 1/3 of a pound: 1/3x
y pounds of grapes: y
So...
1/3x + y < 5
The maximum weight is 4 pounds since the total weight of both the grapes and apples are less than 5.
In the y-axis, the first, third, and fourth graphs already exceed the capacity of 5 pounds.
So, by process of elimination, the correct graph for this problem is the second one.
Answer:
<em><u>Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.</u></em>
∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]
Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.
Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
Answer:
492 0/10
Step-by-step explanation:
We have that the perimeter is 4 times the length of the side, now we know that this side "l" is given by:
l = 4 in * 24 + 23 * 5 ft
l = 96 in + 115 ft
Now, we pass the inches to pes, knowing that 1 foot equals 12 inches, so
96 in * 1 ft / 12 in = 8 ft
therefore replacing it remains:
l = 8 ft + 115 ft
l = 123 ft
now the perimeter:
p = 123 * 4
p = 492
to change to a mixed number:
4920/10 = 492 0/10
