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Licemer1 [7]
3 years ago
6

Audrey has $111 to spend on a tennis racket and lessons. The racket costs $55 and the lessons cost $14 per hour. Define a variab

le. Then write and solve an equation to find how many hours of lessons she can afford ?
( pls answer this )
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

Cost of racket = $55

Cost per lesson = $14

Let,

y be the total cost

x be the number of hours

According to given statement;

y = 14x + 55

111 = 14x + 55

111 - 55 = 14x

14x = 56

Dividing both sides by 14

\frac{14x}{14}=\frac{56}{14}\\x=4

Hence,

Audrey can afford 4 hours of lesson.

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Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior ang
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The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

<h3>What is a polygon?</h3>

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The sum of the exterior angles of a regular polygon will always equal 360

Given that;

  • Exterior angle a = 25 degrees
  • Exterior angle b =  146 degrees
  • Exterior angle d = 149 degrees
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25° + 146° + 149° + c = 360°

320° + c = 360°

c = 360° - 320°

c = 40°

The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

Learn more about polygons here: brainly.com/question/22408868

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2 years ago
The ratio of yellow blue and red balloons is 2:3:2 respectively. If the total number is 28 is many yellow balloons are there
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Answer:

8

Step-by-step explanation:

The ratio of yellow balloons to the total is ...

... 2:(2+3+2) = 2/7

This fraction of 28 balloons is ...

... (2/7)·28 = 56/7 = 8 . . . . yellow balloons

8 0
3 years ago
-5(4+2x)-14x simplify the expression
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Answer:

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2 years ago
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Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma
levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = \dfrac{1}{4}

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = \dfrac{1}{2}

Let 't' be the time taken by both of them working together , then we have the following equation:-

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Since 1 hour = 60 minutes

Then, \dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0
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