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nadezda [96]
2 years ago
14

Tony has $18 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and grap

h an inequality to describe the situation. Then give two possible combinations of pounds of apples and bananas that Tony can buy.
Mathematics
1 answer:
nlexa [21]2 years ago
5 0

The inequality to describe the situation is; 2a + 1b <= 18

Since according to the question;

  • Tony has $18 to buy apples and bananas for a fruit salad.

  • Apples cost $2 per pound and bananas cost $1 per pound.

  • Let the number of apples bought be; a

  • Let the number of bananas bought be; b

Therefore, the inequality to describe the situation is;

  • 2a + 1b <= 18

This means that the cost of the total number of apples and bananas bought by Tony is; less or equal to $18.

Additionally, Two possible combinations of pounds and apples that Tony can buy are;

  • Tony buys 9 apples and no banana

  • Tony buys 18 bananas and no apple.

Read more on inequalities:

brainly.com/question/12371526

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A 12-meter ladder leans against a building forming a 30° angle with the building.
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Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

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The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

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The top of the ladder to the ground represents

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The pythagorean theorem applies, which says

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36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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(9.3)(9.3)(9.3) = 804.357

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An 8-meter length connects the triangular front and back of a house roof. The base of the front
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Answer:

B=3.6h

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Answer:

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6 0
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