You can use at most 24 beads that are 10 inches long to decorate the rope.
Step-by-step explanation:
Given,
Length of rope = 120 feet
1 foot = 12 inches
20 foot = 20*12 = 240 inches
Length of bead = 10 inches
Let,
x represents the number of beads used on rope.
As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.
Length of each bead*Number of beads ≤ length of rope
Dividing both sides by 10
You can use at most 24 beads that are 10 inches long to decorate the rope.
Keywords: inequality, division
Learn more about inequalities at:
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15% it’s running
That’s all I’m aware of
Answer:
$495.84
Step-by-step explanation:
1,036.89-495.05= 541.84- 46= 495.84
Answer:
Sylvia's investment would double first
Step-by-step explanation:
The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:
Sylvia investment:
Sylvia's investment would double in 9 years' time (72/8)
Manuel's investment"
Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)
From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first
Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²