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sergejj [24]
3 years ago
15

A saleswoman is paid $80 a day plus $6 for each sale she makes. She wants to earn more than $150 today. Write an inequality that

represents the number of sales, x, the saleswoman must make today to earn more than $150. What is the least number of sales she must make to reach her sales goal
Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

12

Step-by-step explanation:

Given that:

Daily wages paid to a saleswoman = $80

Wages paid for each sale made by her = $6

Target of today's earnings = more than $150

To find:

Least number of sales to be made so that the total earnings today is more than $150.

Solution:

Number of sales for today = x

Wages for one sale = $6

Wages for x number of sales = $6x

Total earnings = Per day sales + Wages for x number of sales > $150

80 + 6x > 150

we need to solve for above inequality to find the least number of sales to be made to meet the goal.

Subtracting 80 from both sides:

\Rightarrow 6x>70\\

Dividing both sides by 6:

\Rightarrow x > 11

Therefore, <em>at least 12 sales</em> must be made.

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Step-by-step explanation:

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3 years ago
Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
lys-0071 [83]

Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
  • Draw a radius that is perpendicular and a bisector through the chord
  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
  • You should get something that looks like  the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.

Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

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