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elena55 [62]
3 years ago
5

A new club sent out 231 coupons to boost sales for next year's memberships. They provided 6 times as many to potential members t

han to existing members. How many coupons did they send to existing members?
Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Answer:

33 coupons were sent to existing members

Step-by-step explanation:

231 coupons in total for both existing and new members

6 times as much for the existing members than previous ones.

Let existing members be X

New members will be 6x

Den 6X + X= 231

7X=231

X=33

grin007 [14]3 years ago
7 0

Answer:

Number of coupons sent  to Existing members = 33

Step-by-step explanation:

Number of coupons sent out = 231

Let :

6 times as many to potential members = 6 * X = 6X

while existing members = X

therefore 6X + X = 231

                 7X = 231

therefore  X = 231 / 7 = 33

so existing members = 33

while potential members = 6 * 33 = 198

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Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
A regular work week is 40 hours. Overtime pay is time and one-half. Isabel drives a truck for $8.75 an hour. If she worked 48 ho
Harlamova29_29 [7]
For 40 hours it would be $350

And since it is only half pay for overtime then she would only make $35 in eight hours


So altogether she would make $385 this week
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butalik [34]
The area of a polygon equals
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area = 77² * 20 * sin (360 / 20) / 2
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Equation 1: 5x + 3y=8<br> equation 2: 4x + 7y= 34<br><br> 9x-10y=42 true
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true

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8 0
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