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Maru [420]
3 years ago
15

Henry and Bailey plan to make key chains. They need foot of string and 5 beads for each key chain. Henry has $8 to buy string, a

nd he can buy 120 feet of string for
$3.25. Bailey has $27 to purchase beads, and she can buy a pack of 35 beads for $2.59.

If Henry buys as much string as he can, and Bailey buys as many beads as she can, how many key chains can Henry and Bailey make?
Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

72 Keychains

Step-by-step explanation:

120 feet = $3.25

divide 120 by 3.25 to find how much string can be bought with $1. The result is 36.923. Then multiply that number by the number of dollars allotted to buying string. 8*36.923= 295.384. This is the total number of feet of string they have. They use 1 foot for each key chain so they can make 295 keychains based on how much string they have.

35 beads = $2.59

Divide 35 by 2.59 to find how many beads can be bought with $1. The result is 13.514. Then multiply that number by the number of dollars allotted to buying beads. This comes out to 364.878. This means She can buy 364 beads. Each Key chain needs 5 beads so divide 364/5 getting a total of 72 keychains.

Since there aren't enough beads to make any more than 72 keychains, they can make a total of 72 keychains (even though there is extra string)

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Answer:

The length of AC is 222 units.

Step-by-step explanation:

Given AC and AE are common external tangents of G and D.

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We have to find the measure of AC.

As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,

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⇒ AB=99 units.

Hence, AC=AB+BC=99+123=222 units.

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